MOR Wiki - User contributions [en]

Dominant Subspaces

2024-02-09T08:16:56Z

Himpe: Remove prelim banner

[[Category:method]]
[[Category:linear]]
[[Category:time invariant]]
[[Category:linear algebra]]

==Dominant Subspace Projection Model Reduction Method==
The Dominant Subspace Projection Model Reduction Method (DSPMR), introduced in <ref name="penzl06"/>, or short '''Dominant Subspaces''' method is closely related to [[Balanced_Truncation|Balanced Truncation]], and can be seen as a simplification.
This is [[Projection_based_MOR|projection-based]] method is designed for linear time-invariant systems:

:<math>
\begin{array}{rcl}
\dot{x}(t) &=& Ax(t) + Bu(t), \\
y(t) &=& Cx(t).
\end{array}
</math>

Similar to [[Balanced_Truncation|Balanced Truncation]], the [[wikipedia:Controllability_Gramian|controllability Gramian matrix]] <math>W_C</math> and the [[wikipedia:Observability_Gramian|observability Gramian matrix]] <math>W_O</math> are computed:

:<math> AW_C+W_CA^T=-BB^T,</math>

:<math> A^TW_O+W_OA=-C^TC.</math>

As a second step, instead of balancing controllability and observability subspaces, the respective subspaces are conjoined.
Typically, (low-rank) [[wikipedia:Cholesky_decomposition|Cholesky factors]] of the system Gramians are computed directly,

:<math> W_C = L_C L_C^T,</math>

:<math> W_O = L_O L_O^T,</math>

which are then combined using a [[wikipedia:Singular_value_decomposition|singular value decomposition]] of the concatenated factors:

:<math> [L_C, L_O] = U D V</math>.

The principal left (or right) singular vectors, based on the magnitude of the singular values,
then serve as a [[wikipedia:Galerkin_method|Galerkin projection]].

Alternatively, different approaches for the combination of subspaces can be used.
For example in <ref name="li99"/> and <ref name="li01"/>, the singular vectors of the singular value decompositions of the system Gramians,

:<math> W_C = U_C D_C V_C,</math>

:<math> W_O = U_O D_O V_O,</math>

are concatenated and orthogonalized by a [[wikipedia:RRQR_factorization|rank-revealing QR decomposition]]:

:<math>[U_C, U_O] = Q R</math>,

with <math>Q</math> being the resulting Galerkin projection.

Furthermore, the singular vectors of the system Gramians can also be combined by a second singular value decomposition as in <ref name="benner18"/>.

==Variants==

===Refined DSPMR===

In <ref name="penzl06"/>, a variant called Refined Dominant Subspace Projection Model Reduction Method is presented.
For this variant the subspaces are weighted by their [[wikipedia:Matrix_norm#Frobenius_norm|Frobenius norm]] before combination, so for example:

:<math> \Big[\frac{1}{\|L_C\|_{\text{Fro}}} L_C, \frac{1}{\|L_O\|_{\text{Fro}}} L_O\Big] = U D V</math>.

:<math> \Big[\frac{1}{\|U_C\|_{\text{Fro}}} U_C, \frac{1}{\|U_O\|_{\text{Fro}}} U_O\Big] = Q R</math>.

===Cross-Gramian-Based DSPMR===

Instead of using controllability and observability Gramians, also the [[wikipedia:Cross_Gramian|cross Gramian]] <math>W_X</math> can be used for the DSPMR procedure <ref name="benner18"/>,

:<math> AW_X+W_XA=-BC,</math>.

The cross Gramian encodes controllability and observability, hence a singular value decompostion of the (the generally not-symmetric) cross Gramian matrix reveals dominant controllability and observability subspaces,

:<math> W_X = U_C D_X V_O,</math>

which can then be combined by another singular value decomposition:

:<math> [U_C, V_O] = U D V</math>.

The principal left (or right) singular values then represent the Galerkin projection.

This variant can also be refined, as proposed in <ref name="benner18"/>, by scaling the left and right singular vectors by their associated singular values:

:<math> [U_C D_X, V_O D_X] = U D V</math>.

==References==

<references>

<ref name="li99">J.-R. Li and J. White. "[https://doi.org/10.1109/ICCAD.1999.810679 Efficient model reduction of interconnect via approximate system Gramians]", In 1999 IEEE/ACM International Conference on Computer-Aided Design: 380--383, 1999.</ref>

<ref name="li01"> J.-R. Li and J. White. "[http://eudml.org/doc/207549 Reduction of large circuit models via low rank approximate Gramians]", Int. J. Appl. Math. Comput. Sci, 11(5):1151–1171, 2001</ref>

<ref name="penzl06">T. Penzl, "[https://doi.org/10.1016/j.laa.2006.01.007 Algorithms for model reduction of large dynamical systems]", Linear Algebra Appl., 415(2--3): 322--343, 2006. (Reprint of Technical Report SFB393/99-40, TU Chemnitz, 1999.).</ref>

<ref name="benner18">P. Benner, C. Himpe, "[https://doi.org/10.1007/s10444-019-09724-7 Cross-Gramian-Based Dominant Subspaces]", Advances in Computational Mathematics 45: 2533--2553, 2019.</ref>

</references>

MOR Wiki:Community portal

2024-02-09T08:16:01Z

Himpe: Remove dead or empty links

[[Category:Miscellaneous]]

* http://modelreduction.org (Official MORwiki domain)

=Communities=

* [http://twitter.com/mor_wiki MORwiki] (at Twitter)

* [http://morepas.org Model Reduction for Parametrized Systems] (MoRePaS Community)

* [http://zenodo.org/communities/model-reduction Model Reduction Community] (Zenodo Community)

MOR Wiki:Current events

2024-01-11T21:37:37Z

Himpe: mortech to past

[[Category:Miscellaneous]]

== MOR Wiki Users Meetings ==

* The first general assembly of MOR Wiki users took place on December 10th - 2013, at the [http://mpim.iwww.mpg.de/research/groups/csc MPI in Magdeburg] (Germany).

* The second MOR Wiki meeting took place on April 23rd - 2015, at the [http://mpim.iwww.mpg.de/research/groups/csc MPI in Magdeburg] (Germany).

* The third MOR Wiki meeting took place on January 11th - 2017, during the [http://www.mpi-magdeburg.mpg.de/csc/events/modred2017 ModRed in Odense] (Denmark).

== Upcoming Workhops and Conferences ==

* [https://www.ymmor2024.uni-stuttgart.de/ Young Mathematicians in Model Order Reduction Conference 2024], March 4 - 8, 2024; Stuttgart (Germany)

* [https://more2024.sciencesconf.org/ MORe2024 - Model Reduction and Surrogate Modeling], September 9 - 13, 2024; La Jolla, California (United States)

== Past Events ==

=== 2023 ===

* [https://mortech2023.sciencesconf.org/ MORTech 2023 – 6th International Workshop on Model Reduction Techniques], November 22 - 24, 2023; Paris-Saclay (France)

* [https://ims.nus.edu.sg/events/international-workshop-on-reduced-order-methods/ International Workshop on Reduced Order Methods], May 22nd - 26th, 2023; Singapore (Singapore)

* [https://personal.math.vt.edu/borggajt/nlromc/index.html Nonlinear Model Reduction for Control], May 22nd - 26th, 2023; Blacksburg (USA).

=== 2022 ===

* [https://alop.uni-trier.de/event/autumn-school-on-model-reduction-and-model-predictive-control-with-differential-equations/ Model Reduction and Model Predictive Control with Differential Equations], October 4th - 7th, 2022; Trier (Germany)

* [https://more.sciencesconf.org/ Model Reduction and Surrogate Modeling (MORE)], September 19th - 23rd, 2022; Berlin (Germany)

* [https://www.mathmod.at/ 10th Vienna International Conference on Mathematical Modelling], July 27th – 29th, 2022;Vienna (Austria)
** [https://ifac.papercept.net/conferences/conferences/MAMO21/program/MAMO21_ContentListWeb_2.html#wed3 Model Reduction]
** [https://ifac.papercept.net/conferences/conferences/MAMO21/program/MAMO21_ContentListWeb_2.html#wed1 Recent Advances in Model Reduction and Surrogate Modeling I of IV]
** [https://ifac.papercept.net/conferences/conferences/MAMO21/program/MAMO21_ContentListWeb_2.html#wee1 Recent Advances in Model Reduction and Surrogate Modeling II of IV]
** [https://ifac.papercept.net/conferences/conferences/MAMO21/program/MAMO21_ContentListWeb_2.html#thb1 Recent Advances in Model Reduction and Surrogate Modeling III of IV]
** [https://ifac.papercept.net/conferences/conferences/MAMO21/program/MAMO21_ContentListWeb_2.html#thd1 Recent Advances in Model Reduction and Surrogate Modeling IV of IV]

* [https://www.uni-muenster.de/MathematicsMuenster/events/2022/YMCN-model-order-reduction.shtml#Schedule Young Mathematicians in Model Order Reduction (YMMOR)], July 18th - 22th, 2022; Münster (Germany)

* [https://dcn.nat.fau.eu/events/mini-workshop-model-reduction-and-control/ Mini-Workshop "Model Reduction and Control"] May 24th, 2022; (ONLINE)

* [https://www.siam.org/conferences/cm/conference/uq22 SIAM Conference on Uncertainty Quantification], April 12th -15th, 2022; Atlanta (USA)
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=73287 MS4: Nonlinear Model Reduction Methods for Random or Parametric Time Dependent Problems - Part I of III]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=73288 MS32: Nonlinear Model Reduction Methods for Random or Parametric Time Dependent Problems - Part II of III]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=73289 MS76: Nonlinear Model Reduction Methods for Random or Parametric Time Dependent Problems - Part III of III]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=73521 MS154: Reduced Order Modelling for Forward and Inverse UQ - Part I of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=73537 MS168: Reduced Order Modelling for Forward and Inverse UQ - Part II of II]

=== 2021 ===

* [https://indico.sissa.it/event/43/ RAMSES: Reduced order models; Approximation theory; Machine learning; Surrogates, Emulators and Simulators], December 14th - 17th, 2021; Trieste (Italy)

* [https://www.romsoc.eu/wim-2021/ Workshop in Industrial Mathematics (WIM2021) with the Reduced-Order Modeling, Simulation and Optimization of Coupled Systems], October 20th - 22nd; Catania (Italy)

* [https://www.icms.org.uk/events/event/?id=1178 New Developments in Reduced Order Modelling], October 15th; '''ONLINE'''

* [https://mmldt.eng.ucsd.edu/home MMLDT-CSET - Mechanistic Machine Learning and Digital Twins for Computational Science, Engineering & Technology 2021], September 26th - 29th, 2021; San Diego (USA)
** [https://docs.google.com/spreadsheets/d/1GosdHfvpskcnnR56u29ZRNfBWC4kg0hR/edit#gid=83060610&range=A1 MS 4-7: Physics-Informed Data-based Model Reduction]
** [https://docs.google.com/spreadsheets/d/1GosdHfvpskcnnR56u29ZRNfBWC4kg0hR/edit#gid=1626075110&range=A1 MS 4-8: Model Reduction and Machine Learning for Fluids and Fluid-Structure Interactions]
** [https://docs.google.com/spreadsheets/d/1GosdHfvpskcnnR56u29ZRNfBWC4kg0hR/edit#gid=618092903&range=A1 MS 4-9: Advances in Reduced Order Modeling of Solids and Fluids and Porous Media]
** [https://docs.google.com/spreadsheets/d/1GosdHfvpskcnnR56u29ZRNfBWC4kg0hR/edit#gid=378364206&range=A1 MS 4-10: Model Reduction of Dynamical Systems with Deep Learning]
** [https://docs.google.com/spreadsheets/d/1GosdHfvpskcnnR56u29ZRNfBWC4kg0hR/edit#gid=667740&range=A1 MS 5-1: Advances in Machine Learning and Model Reduction for Inversion in Geophysical and Geological Applications]

* [http://smai.emath.fr/cemracs/cemracs21/ CEMRACS 2021 - Data Assimilation and Reduced Modeling for High Dimensional Problems], July 19th - August 27th, 2021; Luminy (France)

* [http://16.usnccm.org US National Congress on Computational Mechanics (USNCCM)], July 25th - 29th, 2021; Chicago (USA)
** "[http://16.usnccm.org/MS_311 MS311: Model Order Reduction for Physical Simulations]"

* [https://www.siam.org/conferences/cm/conference/an21 SIAM Annual Meeting], July 19th - 23rd, 2021; '''ONLINE'''
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=71670 MS62: Advances in Uncertainty Quantification with Model Order Reduction Methods I]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=71671 MS88: Advances in Uncertainty Quantification with Model Order Reduction Methods II]

* [https://www.siam.org/conferences/cm/conference/ct21 SIAM Conference on Control and Its Applications], July 19th - 21st, 2021; '''ONLINE'''
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=71167 MS1: Model Reduction for Control of High-Dimensional Nonlinear Systems I]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=71168 MS9: Model Reduction for Control of High-Dimensional Nonlinear Systems II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=71169 MS17: Model Reduction for Control of High-Dimensional Nonlinear Systems III]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=72048 MS26: Data-Driven Methods in Model Reduction and Control I]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=72049 MS34: Data-Driven Methods in Model Reduction and Control II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=72050 MS42: Data-Driven Methods in Model Reduction and Control III]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=71716 MS25: Model Reduction of Complex Dynamical Systems and its Applications I]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=71717 MS33: Model Reduction of Complex Dynamical Systems and its Applications II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=71718 MS41: Model Reduction of Complex Dynamical Systems and its Applications III]

* [https://www.siam.org/conferences/cm/conference/cse21 SIAM Conference on Computational Science and Engineering (CSE21)], March 1st - 5th, 2021; Fort Worth (USA)
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=70067 MS8: Data Driven Reduced Order Models: Structure, Networks and Imaging - Part I of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69881 MS26: Reduced Order Methods for Parametric CFD Problems - Part I of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69861 MS27: Reduced Order Model Stabilizations and Closures - Part I of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69824 MS31: Structure-Preserving Model Order Reduction for Large-Scale Systems - Part I of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69862 MS60: Reduced Order Model Stabilizations and Closures - Part II of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69943 MS74: Dimensionality Reduction and Reduced-Order Models for the Boltzmann Transport Equation]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=70068 MS98: Data Driven Reduced Order Models: Structure, Networks and Imaging - Part II of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69882 MS111: Reduced Order Methods for Parametric CFD Problems - Part II of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69928 MS113: Reduced-Order Modeling and Analysis of Turbulence - Part I of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69825 MS119: Structure-Preserving Model Order Reduction for Large-Scale Systems - Part II of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69929 MS147: Reduced-Order Modeling and Analysis of Turbulence - Part II of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=70145 MS172: Model Order Reduction for Large-Scale Problems - Part I of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=70146 MS234: Model Order Reduction for Large-Scale Problems - Part II of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=70123 MS309: Data-Driven Modeling and Model Reduction: Honoring 70th Birthday of Thanos Antoulas - Part I of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69938 MS319: Model Order Reduction for Complex Systems - Part I of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69816 MS324: Recent Advances in Model Order Reduction for Advection-Dominated Simulations - Part I of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69764 MS326: Recent Developments in Nonlinear Model Reduction Methods - Part I of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=70124 MS340: Data-Driven Modeling and Model Reduction: Honoring 70th Birthday of Thanos Antoulas - Part II of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69939 MS350: Model Order Reduction for Complex Systems - Part II of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69819 MS355: Recent Advances in Model Order Reduction for Advection-Dominated Simulations - Part II of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69765 MS357: Recent Developments in Nonlinear Model Reduction Methods - Part II of II]

* [https://www.wccm-eccomas2020.org 14th WWCM and ECCOMAS Congress 2020], January 11th - 15th, 2021; Paris (France)
** "[https://www.wccm-eccomas2020.org/admin/Files/FileAbstract/a93.pdf MS93: Reduced Order and Surrogate Modeling for Uncertainty Analysis in Structural Mechanics]"
** "[https://www.wccm-eccomas2020.org/admin/Files/FileAbstract/a139.pdf MS139: Advances in Intrusive and Non-Intrusive Order Reduction Techniques for Flow Analysis, Control and Optimization]"
** "[https://www.wccm-eccomas2020.org/admin/Files/FileAbstract/a152.pdf MS152: Model Order Reduction Methods for Parametrized Mechanical Systems]"
** "[https://www.wccm-eccomas2020.org/admin/Files/FileAbstract/a170.pdf MS170: Numerical Model Reduction and Data-Driven Surrogates for Multi-Physics Applications]"
** "[https://www.wccm-eccomas2020.org/admin/Files/FileAbstract/a179.pdf MS179: Numerical Techniques for the Simulations and Model Reduction of Complex Physical Systems]"
** "[https://www.wccm-eccomas2020.org/admin/Files/FileAbstract/a204.pdf MS204: Analysing Parameterised Reduced Order Models]"
** "[https://www.wccm-eccomas2020.org/admin/Files/FileAbstract/a371.pdf MS371: Model Order Reduction for Vibroacoustic Problems]"
** "[https://www.wccm-eccomas2020.org/admin/Files/FileAbstract/a415.pdf MS415: Model Order Reduction for Nonlinear (Time, Space, Parameter) Multiscale Problems and Applications]"
** "[https://www.wccm-eccomas2020.org/admin/Files/FileAbstract/a458.pdf MS458: Coupled Multiphysics Problems and Reduced Order Methods Applied to Compute Digital Twin Models in Industrial Applications]"

=== 2020 ===

* [https://www.mfo.de/occasion/2045a/www_view Banach Center – Oberwolfach Graduate Seminar: Model Reduction and Approximation: Projection-, Tensor- and Data-based Methods], November 1st - 7th, 2020; Bedlewo (Poland) ('''CANCELLED''')

* [https://www.tu-chemnitz.de/mathematik/dmv2020/index.php DMV Annual Meeting], September 14th - 18th, 2020; ('''VIRTUAL''')
** "[https://www.tu-chemnitz.de/mathematik/dmv2020/minisymp.php Model Order Reduction]"

* [https://morss2020.epfl.ch Model Order Reduction Summer School]; September 7th - 10th, 2020; ('''VIRTUAL''')

* [https://www.mpi-magdeburg.mpg.de/csc/events/samm20 SAMM20 - Learning Models from Data: Model Reduction, System Identification and Machine Learning], July 27th - 31st, 2020; ('''VIRTUAL''')

* [https://www.siam.org/conferences/cm/conference/an20 2nd Joint SIAM/CAIMS Annual Meeting], July 6th - 17th, 2020; ('''VIRTUAL''')
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=68897 MS4: Projection-Based Model Order Reduction for Partial Differential Equations - Part I of II]"
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=68898 MS7: Projection-Based Model Order Reduction for Partial Differential Equations - Part II of II]"

* [https://icerm.brown.edu/programs/sp-s20/ Model and dimension reduction in uncertain and dynamic systems], January 27th - May 1st, 2020; Providence (USA)
** [https://icerm.brown.edu/programs/sp-s20/w1/ Mathematics of Reduced Order Models], February 17th - 21st
** [https://icerm.brown.edu/programs/sp-s20/w2/ Algorithms for Dimension and Complexity Reduction], March 23rd - 27th ('''VIRTUAL''')
** [https://icerm.brown.edu/programs/sp-s20/w3/ Computational Statistics and Data-Driven Models], April 20th - 24th ('''VIRTUAL''')

* [https://siam-uq20.ma.tum.de SIAM Conference on Uncertainty Quantification (UQ20)], March 24th - 27th, 2020; Munich (Germany) ('''CANCELLED''')
** "[https://www.events.tum.de/frontend/index.php?page_id=3712&v=List&do=15&day=490&ses=1625# CT20: ROM and Surrogate Models]"
** "[https://www.events.tum.de/frontend/index.php?page_id=3712&v=List&do=15&day=489&ses=1723# MS311: Dynamical low rank and reduced basis methods for random or parametric time dependent problems (Part I of II) ]"
** "[https://www.events.tum.de/frontend/index.php?page_id=3712&v=List&do=15&day=489&ses=1724# MS312: Dynamical low rank and reduced basis methods for random or parametric time dependent problems (Part II of II)]"
** "[https://www.events.tum.de/frontend/index.php?page_id=3712&v=List&do=15&day=490&ses=1717# MS331: Recent Advances in Reduced-Order Models for Many Query and Time-Critical Problems]"
** "[https://www.events.tum.de/frontend/index.php?page_id=3712&v=List&do=15&day=491&ses=1774# MS351: Reduced order methods for uncertainty quantification in CFD parametric problems]"

=== 2019 ===

* [https://mortech2019.sciencesconf.org/ MORTech - 5th International Workshop on Reduced Basis, POD or PGD-Based Model Reduction Technique], November 20th - 22nd, 2019; Paris (France)

* [https://www.tudelft.nl/en/events/2019/dcse/dcse-fall-school-november-4-8-2019-on-reduced-order-modeling-and-uncertainty-quantification/ DCSE Fall School November 4-8, 2019, on "Reduced-Order Modeling and Uncertainty Quantification"] November 4th - 8th, 2019; Delft (Netherlands)

* [https://school.pymor.org/ pyMOR School 2019], October 7th - 11th, 2019; Magdeburg (Germany)

* [https://www.enumath2019.eu ENUMATH 2019], September 30th - October 4th, 2019; Egmond aan Zee (Netherlands)
** "[https://www.enumath2019.eu/program/show_slot/30 MS2: Recent Advances in Model Order Reduction]"
** "[https://www.enumath2019.eu/program/show_slot/76 MS14: Reduced Order Models for parametric PDEs: special focus on time-dependent phenomena and time-harmonic wave problems (Part 1)]"
** "[https://www.enumath2019.eu/program/show_slot/87 MS14: Reduced Order Models for parametric PDEs: special focus on time-dependent phenomena and time-harmonic wave problems (Part 2)]"
** "[https://www.enumath2019.eu/program/show_slot/113 MS18: Model order reduction in optimisation, control, and data assimilation (Part 1)]"
** "[https://www.enumath2019.eu/program/show_slot/124 MS18: Model order reduction in optimisation, control, and data assimilation (Part 2)]"
** "[https://www.enumath2019.eu/program/show_slot/6 MS26: New challenges and opportunities for model order reduction (Part 1)]"
** "[https://www.enumath2019.eu/program/show_slot/17 MS26: New challenges and opportunities for model order reduction (Part 2)]"
** "[https://www.enumath2019.eu/program/show_slot/7 MS29: Low-rank modelling in uncertainty quantification (Part 1)]"
** "[https://www.enumath2019.eu/program/show_slot/18 MS29: Low-rank modelling in uncertainty quantification (Part 2)]"
** "[https://www.enumath2019.eu/program/show_slot/8 MS31: Numerical methods for identification and model reduction of nonlinear systems (Part 1)]"
** "[https://www.enumath2019.eu/program/show_slot/19 MS31: Numerical methods for identification and model reduction of nonlinear systems (Part 2)]"
** "[https://www.enumath2019.eu/program/show_slot/151 MS38: Modeling of reduced order submanifolds in non-linear spaces (Part 1)]"
** "[https://www.enumath2019.eu/program/show_slot/162 MS38: Modeling of reduced order submanifolds in non-linear spaces (Part 2)]"
** "[https://www.enumath2019.eu/program/show_slot/121 Computing and Model Order Reduction (Part 1)]"
** "[https://www.enumath2019.eu/program/show_slot/132 Computing and Model Order Reduction (Part 2)]"

* [https://www.win.tue.nl/~hbansal/morss.html Model Order Reduction Summer School - MORSS], September 23rd - 27th, 2019; Eindhoven (Netherlands)

* [https://congress.cimne.com/complas2019/frontal/default.asp International Conference on Computational Plasticity. Fundamentals and Applications.], September 3rd - 5th, 2019; Barcelona (Spain)
** "[https://congress.cimne.com/complas2019/frontal/ProgramPrint.asp?id=WeM1 Model Order Reduction with Emphasis on Non-linear and Multi-scale Problems I]"
** "[https://congress.cimne.com/complas2019/frontal/ProgramPrint.asp?id=WeE1 Model Order Reduction with Emphasis on Non-linear and Multi-scale Problems II]"

* [https://imsc.uni-graz.at/modred2019 4th Workshop on Model Reduction of Complex Dynamical Systems - MODRED], August 28th - 30th, 2019; Graz (Austria)

* [http://15.usnccm.org US National Congress on Computational Mechanics (USNCCM)], July 28th - 1st August, 2019; Austin (USA)
** "[http://15.usnccm.org/208 Data Assimilation in Model Order Reduction Techniques for Computational Mechanics]"
** "[http://15.usnccm.org/1001 Model Order Reduction for Computational Continuum Mechanics]"

* [https://iciam2019.org International Congress on Industrial and Applied Mathematics], July 15th - 19th, 2019; Valencia (Spain)
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20FT-2-4%201 MS FT-2-4 1: New trends in dimensionality reduction of parametrized and stochastic PDEs - Part 1 of 2]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20FT-2-4%202 MS FT-2-4 2: New trends in dimensionality reduction of parametrized and stochastic PDEs - Part 2 of 2]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20GH-3-3%202 MS GH-3-3 2: Model order reduction methods and their broad applications in engineering - Part 1 of 3]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20GH-3-3%203 MS GH-3-3 3: Model order reduction methods and their broad applications in engineering - Part 2 of 3]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20GH-3-3%204 MS GH-3-3 4: Model order reduction methods and their broad applications in engineering - Part 3 of 3]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20A1-1-1%205 MS A1-1-1 5: Advances in reduced order methods for parameter-dependent problems - Part 1 of 1]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20FE-1-3%205 MS FE-1-3 5: Network based model reduction in large-scale simulations, imaging and data-science - Part 1 of 3]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20FE-1-3%206 MS FE-1-3 6: Network based model reduction in large-scale simulations, imaging and data-science - Part 2 of 3]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20FE-1-3%207 MS FE-1-3 7: Network based model reduction in large-scale simulations, imaging and data-science - Part 3 of 3]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20GH-3-3%205 MS GH-3-3 5: Model Reduction and Coupled Problems in Industry Applications - Part 1 of 2]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20GH-3-3%206 MS GH-3-3 6: Model Reduction and Coupled Problems in Industry Applications - Part 2 of 2]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20FE-1-G%207 MS FE-1-G 7: Model-reduction, randomization, and other techniques for large-scale inversion and UQ - Part 1 of 1]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20FT-2-4%207 MS FT-2-4 7: Reduced Order Modeling for Parametric CFD Problems - Part 1 of 4]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20FT-2-4%208 MS FT-2-4 8: Reduced Order Modeling for Parametric CFD Problems - Part 2 of 4]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20FT-2-4%209 MS FT-2-4 9: Reduced Order Modeling for Parametric CFD Problems - Part 3 of 4]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20FT-2-4%2010 MS FT-2-4 10: Reduced Order Modeling for Parametric CFD Problems - Part 4 of 4]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20GH-0-1%207 MS GH-0-1 7: Reduced-order modeling and data-driven estimation in waves and fluids - Part 1 of 2]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20GH-0-1%208 MS GH-0-1 8: Reduced-order modeling and data-driven estimation in waves and fluids - Part 2 of 2]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20FE-1-G%209 MS FE-1-G 9: Recent Advancements in Model Reduction for Stochastic and Nonlinear Systems - Part 1 of 2]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20FE-1-G%2010 MS FE-1-G 10: Recent Advancements in Model Reduction for Stochastic and Nonlinear Systems - Part 2 of 2]"
* [https://indico.sissa.it/event/34/ Summer School on Reduced Order Methods in Computational Fluid Dynamics], July 8th - 12th, 2019; Trieste (Italy)
* [https://2019.compdyn.org 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering - COMPDYN], June 24th - 26th, 2019; Crete (Greece)
** "MS 5: Surrogate and Reduced-Order Modeling for Stochastic Simulation of Physical Systems"
** "MS 6: Uncertainty Computations with Reduced Order Models and Low-Rank Representations"
** "MS 27: Advances in model reduction techniques in computational structural dynamics"
* [http://modelreduction.net/workshops/7th-international-workshop/ 7th International Workshop on Model Reduction in Reactive Flow (IWMRRF)], June 18th - 21st, 2019; Trondheim (Norway)
* [https://isc.tamu.edu/events/Spring2019/ Spring 2019 Model Reduction Workshop] April 29th, 2019; Houston (USA)
* [https://www.dropbox.com/s/yqqnyxufa36tfdf/EECI-IGSC-2019-Model%20Reduction.pdf?dl=0 Model Reduction for Linear and Nonlinear Systems], April 29th - May 3rd, 2019; London (England)
* [http://www.math.sissa.it/course/phd-course/reduced-order-methods-computational-mechanics Reduced Order Methods for Computational Mechanics], April 15th - 18th, 2019; Trieste (Italy)
* [https://cmsa.fas.harvard.edu/machine-learning/ Machine Learning for Multiscale Model Reduction Workshop], March 27th - 29th, 2019; Cambridge (USA)
* [https://www.siam.org/Conferences/CM/Main/cse19 2019 SIAM Conference on Computational Science and Engineering], February 25th - March 1st, 2019; Spokane (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65932 MS10: Model Reduction, Adaptivity, and High Dimensionality in Uncertainty Quantification - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65933 MS44: Model Reduction, Adaptivity, and High Dimensionality in Uncertainty Quantification - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65806 MS14: Emerging Trends for Structure Preserving Model Order Reduction - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65807 MS49: Emerging Trends for Structure Preserving Model Order Reduction - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65793 MS25: Discovering and Exploiting Low-dimensional Structures in Computational Models - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65794 MS60: Discovering and Exploiting Low-dimensional Structures in Computational Models - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=66052 MS93: Nonlinear Reduced Order Modeling of Realistic Engineering Fluid Flows]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65894 MS112: Recent Advances in Model Reduction and Uncertainty Quantification - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65895 MS145: Recent Advances in Model Reduction and Uncertainty Quantification - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65632 MS119: Model Reduction for Problems with Strong Convection, Sharp Gradients, and Discontinuities - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65633 MS153: Model Reduction for Problems with Strong Convection, Sharp Gradients, and Discontinuities - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65903 MS131: Homogenization and Reduced Order Modelling for Wave Equations - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65904 MS165: Homogenization and Reduced Order Modelling for Wave Equations - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=66036 MS188: Reduced Order Modeling for Parametric CFD Problems- Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=66037 MS221: Reduced Order Modeling for Parametric CFD Problems - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65744 MS191: New Challenges and Opportunities for Model Order Reduction - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65745 MS225: New Challenges and Opportunities for Model Order Reduction - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65757 MS243: Reduced Order Models for Fluids: Achievements and Open Problems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65758 MS276: Reduced Order Models for Fluids: Achievements and Open Problems - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65898 MS267: Model Reduction and Reduced-order Modeling of Dynamical Systems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65899 MS301: Model Reduction and Reduced-order Modeling of Dynamical Systems - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=66160 MS308: Data-driven and Mathematical Model Reductions for Combustion System Simulation and Design]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=66143 MS316: Rational Approximation and its Applications]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65578 MS343: Data-augmented Reduced-order Modeling: Operator Learning and Closure/error Modeling - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65579 MS376: Data-augmented Reduced-order Modeling: Operator Learning and Closure/error Modeling - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65662 MS352: Recent Developments in Model Order Reduction Methods - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65663 MS384: Recent Developments in Model Order Reduction Methods - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=66087 MS361: Structure-exploiting Techniques for Approximation, Inference and Control of Complex Systems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=66088 MS393: Structure-exploiting Techniques for Approximation, Inference and Control of Complex Systems - Part II of II]"

=== 2018 ===

* [http://meetings.aps.org/Meeting/DFD18/Content/3571 71st Annual Meeting of the APS Division of Fluid Dynamics], November 18th - 20th, 2018; Atlanta (USA)
** "[http://meetings.aps.org/Meeting/DFD18/Session/A01 Session A01: Nonlinear Dynamics: Model Reduction I]"
** "[http://meetings.aps.org/Meeting/DFD18/Session/F15 Session F15: Flow Control: Coherent Structures and Reduced Order Modeling]"
** "[http://meetings.aps.org/Meeting/DFD18/Session/Q01 Session Q01: Nonlinear Dynamics: Model Reduction II]"

* [https://www.math.uni-hamburg.de/morss2018/ Model Order Reduction Summer School], September 24th - 28th, 2018; Hamburg (Germany)

* [https://alop.uni-trier.de/eucco2018 5th European Conference on Computational Optimization - EUCCO 2018], September 10th - 12th; Trier (Germany)
** "Focus Session: Model order reduction and low-rank approximation for nonlinear problems"

* Minisymposium at [https://sim.mathematik.uni-halle.de/numdiff/Numdiff15/home NumDiff 15], September 3rd - 7th, 2018; Halle (Germany)
** "Model order reduction for dynamical systems"

* [http://597.euromech.org/ Colloquium 597 Reduced Order Modeling in Mechanics of Materials], August 28th - 31st, 2018; Bad Herrenalb (Germany)

* Minisymposia at "[http://www.wccm2018.org/ 13th World Congress in Computational Mechanics]", July 22nd - 27th, 2018; New York (USA)
** "[http://www.wccm2018.org/MS_715 MS715: Reduced Order Methods for Parametric CFD Problems]"
** "[http://www.wccm2018.org/MS_1802 MS1802: Model Reduction, Big Data and Dynamic Data-Driven Systems]"
** "[http://www.wccm2018.org/MS_1804 MS1804: Machine Learning and Reduced-order Models for Complex Systems]"

* Minisymposia at "[http://ecmi.bolyai.hu/ The 20th European Conference on Mathematics for Industry]", June 18th - 22nd, 2018; Budapest (Hungary)
** "MS35: Reduced Order Modelling for Industrial and Scientific Applications"

* Sessions at the [http://www.ecc18.eu/ European Control Conference 2018] June 12th - 15th, 2018; Limassol (Cyprus)
** [https://controls.papercept.net/conferences/conferences/ECC18/program/ECC18_ContentListWeb_4.html#fra3 Model Reduction and Control in Large-Scale Networks]
** [https://controls.papercept.net/conferences/conferences/ECC18/program/ECC18_ContentListWeb_4.html#frb3 Model and Order Reduction I]
** [https://controls.papercept.net/conferences/conferences/ECC18/program/ECC18_ContentListWeb_4.html#frc3 Model and Order Reduction II]

* Minisymposia at "[http://www.eccm-ecfd2018.org ECCM-ECFD 2018]", June 11th - 15th, 2018; Glasgow (Scotland)
** "[http://www.eccm-ecfd2018.org/admin/Files/FileAbstract/a48.pdf MS48: Model reduction, big data and dynamic data-driven systems]"
** "[http://www.eccm-ecfd2018.org/admin/Files/FileAbstract/a126.pdf MS126: Reduced order modeling with error control and adaptivity]"
** "[http://www.eccm-ecfd2018.org/admin/Files/FileAbstract/a130.pdf MS130: Advances in reduced basis techniques for flow problems in analysis, control and optimization]"
** "[http://www.eccm-ecfd2018.org/admin/Files/FileAbstract/a149.pdf MS149: Model order reduction for multiscale problems in geo-engineering]"
** "[http://www.eccm-ecfd2018.org/admin/Files/FileAbstract/a170.pdf MS170: Reduced order modeling for uncertainty quantification in subsurface flow problems]"
** "[http://www.eccm-ecfd2018.org/admin/Files/FileAbstract/a192.pdf MS192: Developments in reduced-order modelling of the cardiovascular system -- methods and applications.]"

* "[http://www.itm.uni-stuttgart.de/iutam2018/ IUTAM Symposium on Model Order Reduction for Coupled Systems (MORCOS18)]" May 22nd - 25th, 2018; Stuttgart (Germany)

* "[https://sites.google.com/view/rom4cvs Workshop on Reduced Models for the Cardiovascular Systems]" April 26th - 27th, 2018; Atlanta (USA)

* Sessions at "[http://www.siam.org/meetings/uq18/ SIAM Conference on Uncertainty Quantification 2018]" April 16th - 20th, 2018; Garden Grove (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=63738 MS5 - Model reduction and fast sampling methods for Bayesian inference - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=63739 MS18 - Model reduction and fast sampling methods for Bayesian inference - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=63731 MS54 - Dimension reduction in Bayesian inference - Part I of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=63732 MS67 - Dimension reduction in Bayesian inference - Part II of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=63733 MS80 - Dimension reduction in Bayesian inference - Part III of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=63754 MS39 - recent advances in model reduction and data-enabled modeling - Part I of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=63755 MS53 - recent advances in model reduction and data-enabled modeling - Part II of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=63756 MS66 - recent advances in model reduction and data-enabled modeling - Part III of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=63821 MS75 - Reduced Order Modeling for Uncertainty Quantification Targeting Exascale Computing Applications]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=63791 MS79 - Reduced-order modeling techniques for large-scale UQ problems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=63792 MS93 - Reduced-order modeling techniques for large-scale UQ problems - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=63817 MS106 - Advances in Reduced Order Modeling for Uncertainty Quantification - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=63818 MS119 - Advances in Reduced Order Modeling for Uncertainty Quantification - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=64390 CP2 - Reduced-order Modeling and Dynamical Systems I]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=64404 CP13 - Reduced-order Modeling and Dynamical Systems II]"
* "[http://morepas2018.sciencesconf.org MoRePaS 2018 - Model Reduction of Parametrized Systems IV]" April 9th - 13th, 2018; Nantes (France)
* "[http://www.newton.ac.uk/event/unqw03 Reducing dimensions and cost for UQ in complex systems]" March 5th - 9th, 2018; Cambridge (UK)
* Minisymposium at [http://www.mathmod.at/ 9th MathMod] February 21st - 23rd, 2018; Vienna (Austria)
** "Model Reduction"
* "[https://sisu.ut.ee/eu_mornet/node/17747 EU-MORNET Workshop]" February 8th - 9th, 2018; Tartu (Estonia)
* "[http://www.jade-hs.de/unsere-hochschule/fachbereiche/ingenieurwissenschaften/forschung-und-praxis/modellierung-und-simulation-mechatronischer-systeme/february-2nd-2018-eu-mornet-workshop-mor-4-mechatronics/ MOR 4 MECHATRONICS]" February 2nd, 2018; Wilhemshaven (Germany

=== 2017 ===

* [http://math.lbl.gov/~mjzahr/wcrw2017/ West Coast ROM Workshop], November 17th, 2017; Berkeley (USA)
* "[http://www.imus.us.es/IWROM4/ MORTech 2017]" November 8th - 10th; Seville (Spain)
* "[http://www.math.rug.nl/gcsc/morschool.html Groningen Autumn School on Model Order Reduction]" October 30th - November 1st, 2017; Groningen (Netherlands)
* Minisymposia at [http://www.uib.no/en/enumath2017 ENUMATH 2017] September 25th - 29th, 2017; Voss (Norway)
** "[http://www.uib.no/en/enumath2017/98144/minisymposia MS10 - Reduced order models for time-dependent problems]"
** "[http://www.uib.no/en/enumath2017/98144/minisymposia MS28 - Model reduction methods for simulation and (optimal) control]"
* "[http://scale-freeback.eu/grenoble-workshop-2017/ Modelling Reduction Tools for Large Scale Complex Networks]" September 21st - 22nd, 2017; Grenoble (France)
* "[http://www.rbss2017.de Reduced Basis (and Friends) Summer School 2017]" September 19th - 22nd, 2017; Goslar (Germany)
* "[http://www.gipsa-lab.fr/summerschool/auto2017/ Approximation of Large-Scale Dynamical Models]" September 11th - 15th, 2017; Grenoble (France)
* "[http://www.rt.mw.tum.de/workshops-seminare/2-mor-doktoranden-workshop/ 2. MOR Doktoranden-Workshop]" September 6th - 8th, 2017; Munich (Germany)
* "[http://www.maths.dur.ac.uk/lms/107/index.html EPSRC Durham Symposium Model Order Reduction]" August 7th - 17th, 2017; Durham (UK)
* "[http://modelreduction.net/workshops/6th-international-workshop 6th International Workshop on Model Reduction in Reacting Flows]" July 11th - 14th, 2017; Princeton (USA)
* "[http://www.siam.org/meetings/dr17/ SIAM Workshop on Parameter Space Dimension Reduction (DR17)]" July 9th - 10th, 2017; Pittsburgh (USA)
* "[https://www.math.vt.edu/GFD_conference2017/ Conference on Classical and Geophysical Fluid Dynamics: Modeling, Reduction and Simulation]" June 26th - 28th, 2017; Blacksburg (USA)
* Session at [http://acc2017.a2c2.org/ American Control Conference] May 24th - 26th, 2017; Seattle (USA)
** "[https://css.paperplaza.net/conferences/scripts/rtf/2017ACC_ContentListWeb_3.html#thc05 Reduced Order Modeling]"
* "[http://eumornetlux.weebly.com/ 2nd Exploratory Workshop on Applications of Model Order Reduction Methods in Industrial Research and Development]" March 10th, 2017; Luxembourg (Luxembourg)
* "[http://www.eu-mor.net/model-reduction-course-hydra/ Model Reduction Course HYDRA]" March 6th - 9th, 2017; Eindhoven (Netherlands)
* Minisymposia at [http://www.siam.org/meetings/cse17/ SIAM CSE'17] February 27th, 2017; Atlanta (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=60778 MS8 - Smooth, Reduced, Sparse -- Exploiting Structures for Surrogate Modeling in CSE - Part I of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=60779 MS37 - Smooth, Reduced, Sparse -- Exploiting Structures for Surrogate Modeling in CSE- Part II of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=60819 MS66 - Smooth, Reduced, Sparse -- Exploiting Structures for Surrogate Modeling in CSE - Part III of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=60968 MS75 - Model Reduction Software: Nonlinear Problems and Data-Driven Solutions]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=61076 MS106 - Reduced Order Models for Fluids: Achievements and Open Problems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=61077 MS133 - Reduced Order Models for Fluids: Achievements and Open Problems - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=61078 MS161 - Reduced Order Models for Fluids: Achievements and Open Problems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=61079 MS188 - Reduced Order Models for Fluids: Achievements and Open Problems - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=60854 MS107 - Model Order Reduction: Perspectives from Junior Researchers - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=61077 MS134 - Model Order Reduction: Perspectives from Junior Researchers - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=61070 MS145 - Reduced Order Modeling Techniques in Large Scale & Data-Driven PDE Problems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=61071 MS172 - Reduced Order Modeling Techniques in Large Scale & Data-Driven PDE Problems - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=60909 MS162 - Model Reduction for Optimal Control Problems: Perspectives from Junior Researchers - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=60910 MS189 - Model Reduction for Optimal Control Problems: Perspectives from Junior Researchers - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=61275 MS313 - Model and Solution Reduction Methods in Computational Mechanics: Challenges and Perspectives]"
* "[http://www.hda2017.unsw.edu.au 7th Workshop on High-Dimensional Approximation]" February 13th - 17th, 2017; Sydney (Australia)
* "[http://matperso.mines-paristech.fr/Personnel/david.ryckelynck Doctoral Workshop on Model Reduction in Nonlinear Mechanics]" February 13th - 17th, 2017; Paris (France)
* "[http://www.mpi-magdeburg.mpg.de/csc/events/modred2017 3rd Workshop on Model Reduction of Complex Dynamical Systems]" January 11th - 13th, 2017; Odense (Denmark)

=== 2016 ===

* "[http://www.komso.org/events/challenge-workshops/reduced-order-modeling-simulation-and-optimization-powerful-algorithms Reduced-Order Modeling for Simulation and Optimization: Powerful Algorithms as Key Enablers for Scientific Computing]" November 17th - 18th; Renningen (Germany)
* Workshop "[http://www.ihp.fr/en/CEB/T3-2016/workshop2 Recent developments in numerical methods for model reduction]" November 7th - 10th, 2016; Paris (France)
* "[http://www.mpi-magdeburg.mpg.de/3104866/RBSS2016 Reduced Basis Summer School 2016]" October 4th - 7th, 2016; Hedersleben (Germany)
* Workshop on "[http://www.eventbrite.it/e/reduced-order-modelling-and-multi-physics-coupling-for-reactor-applications-registration-24511634960 Reduced Order Modelling and Multiphysics Coupling for Rector Application]" September 30th, 2016; Milano (Italy)
* "[http://alop.uni-trier.de/event/alop-workshop-reduced-order-models-in-optimization/ ALOP Workshop: Reduced Order Models in Optimization] September 26th - 28th, 2016; Trier (Germany)
* "[http://www.mathos.unios.hr/index.php/443 Workshop on Model Reduction Methods and Optimization]" September 20th - 21st, 2016; Opatija (Croatia)
* "[http://www.mechbau.uni-stuttgart.de/EMMA/worm2016 3rd International Workshop on Order-Reduction Methods for Mechanics of Materials]" August 29th - 31st, 2016; Bad Herrenalb (Germany)
* Sessions at [http://www.siam.org/meetings/an16/ SIAM Annual Meeting 2016] 11th - 15, 2016; Boston (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=23289 MS32 - Reduced Order Modeling Techniques in Uncertainty Quantification - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=23290 MS46 - Reduced Order Modeling Techniques in Uncertainty Quantification - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=23600 MS70 - Model Reduction and Krylov-Subspace Methods]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=23394 MS71 - Model Reduction for Inverse Problems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=23395 MS87 - Model Reduction for Inverse Problems - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=23453 MS103 - Model Reduction for Wavefield Simulations - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=23454 MS118 - Model Reduction for Wavefield Simulations - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=23099 MS104 - Model Reduction of Parametrized PDEs in Continuum Mechanics - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=23100 MS119 - Model Reduction of Parametrized PDEs in Continuum Mechanics - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=23146 MS137 - Model Reduction of Parametrized PDEs: Application to Optimization and Uncertainty Quantification]"
* Minisymposium "[http://ilas2016.cs.kuleuven.be/minisymposium.php?sid=41 Data-Driven Model Reduction]" at ILAS July 11th - 15th, 2016; Leuven (Belgium)
* Sessions at [http://sites.google.com/a/umn.edu/mtns-2016/ 22nd International Symposium on Mathematical Theory of Networks and Systems], July 11th - 15th, 2016; Minnesota (USA)
** "[http://controls.papercept.net/conferences/conferences/MTNS16/program/MTNS16_ContentListWeb_1.html#tua06 Model Reduction I]"
** "[http://controls.papercept.net/conferences/conferences/MTNS16/program/MTNS16_ContentListWeb_1.html#tub06 Model Reduction II]"
* Session at [http://ecc16.eu European Control conference 2016], June 29th - July 1st, 2016; Aalborg (Denmark)
** "[http://controls.papercept.net/conferences/conferences/ECC16/program/ECC16_ContentListWeb_4.html#fra6 Model Reduction]"
* Seminar "[http://www.aices.rwth-aachen.de/news-events/eu-regional-school/eu-regional-school-2016/courses/heinkenschloss-seminar Model Reduction in PDE Constrained Optimization]" at EU Regional School, June 14th - 15th, 2016; Aachen (Germany)
* Minisymposium "Reduced Basis, POD and PGD Model Order Reduction Techniques" at [http://www.eccomas2016.org ECCOMAS Congress 2016] June 5th - 10th, 2016; Crete Island (Greece)
* Workshop on "[http://www.eu-mor.net/workshop-model-order-reduction-control-inverse-problems-morcip-2016/ Model Order Reduction for Control and Inverse Problems (MORCIP)]" May 19th - 20th, 2016; Lausanne (Switzerland)
* Spring School "[http://www.ercoftac.org/events/ercoftac_montestigliano_spring_school_2016/ Reduced-order models for non-linear dynamics in fluid flows]" May 17th - 23rd, 2016; Siena (Italy)
* Sessions at [http://www.siam.org/meetings/uq16/ SIAM Conference on Uncertainty Quantification] April 5th - 8th, 2016; Lausanne (Switzerland)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=21926 MS13 - Reduced Order Modelling for UQ PDEs Problems: Optimization, Control, Data Assimilation - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=21927 MS28 - Reduced Order Modelling for UQ PDEs Problems: Optimization, Control, Data Assimilation - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=22194 MS89 - Reduced-order Modeling in Uncertainty Quantification - Part I of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=22195 MS104 - Reduced-order Modeling in Uncertainty Quantification - Part II of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=22196 MS119 - Reduced-order Modeling in Uncertainty Quantification - Part III of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=22362 MS149 - Model Reduction in Stochastic Dynamical Systems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=22363 MS164 - Model Reduction in Stochastic Dynamical Systems - Part II of II]"
* Workshop "[http://www.ians.uni-stuttgart.de/agh/misc/events/morml2016/index.html Data-Driven Model Order Reduction and Machine Learning (MORML 2016)]" March 30th - April 1st, 2016; University of Stuttgart (Germany)
* Symposium "[http://www.humboldt-foundation.de/web/gafos-2016-sessions.html Model Reduction for Complex Systems]" at [http://www.humboldt-foundation.de/web/gafos-2016.html 20th German-American Symposium] March 10th - 13th, 2016; Potsdam (Germany)
* "Doctoral Workshop on Model Reduction in nonlinear dynamics of fluids and structures" January 25th - 29th, 2016; Paris (France)

=== 2015 ===

* West Coast ROM Workshop, November 19th, 2015; Livermore (USA)
* [http://sites.google.com/site/mor4mems2015/ MOR 4 MEMS] November 17th - 18th, 2015; Karlsruhe (Germany). [http://www2.mpi-magdeburg.mpg.de/mpcsc/events/MOR4MEMS2015/ Here] you find the presentation slides.
* [http://rom2015.sciencesconf.org Reduced Basis, POD and PGD Model Reduction Techniques] November 4th - 6th, 2015; Cachan (France)
* [http://eumornetlux.weebly.com/ Exploratory Workshop on Applications of Model Order Reduction Methods in Industrial Research and Development] November 6th, 2015; Luxembourg (Luxembourg)
* [http://indico.sissa.it/event/4/ MoRePaS III] October 13th - 16th, 2015; Trieste (Italy)
* [http://www.mathos.unios.hr/index.php/351 3rd International School on Model Reduction for Dynamical Control Systems] October 5th - 10th, 2015; Dubrovnik (Croatia)
* Minisymposium "[http://enumath2015.iam.metu.edu.tr/minisymposia20.html Local and adaptive model reduction for partial differential equations]" at [http://enumath2015.iam.metu.edu.tr ENuMath] September 14th - 18th, 2015; Ankara (Turkey)
* Minisymposium "[http://scicade2015.math.uni-potsdam.de/scicade2015/minisymposiadetails.html#MS34 Parametric Model Order Reduction: Challenges and Solutions]" at [http://scicade2015.math.uni-potsdam.de SciCADE] September 14th - 18th, 2015; Potsdam (Germany)
* [http://www.math.uni-konstanz.de/numerik/pod/rbss_2015/ Reduced Basis Summer School 2015] September 14th - 18th, 2015; Konstanz (Germany)
* [http://www.cs.cas.cz/more2015/index.php Workshop on MOdel REduction] September 6th - 10th, 2015; Pilsen (Czech Republic)
* Session at [http://www.iciam2015.cn 8th International Congresson Industrial and Applied Mathematics] August 10th - 14th, 2015; Beijing (China)
** "[http://www.iciam2015.cn/ICIAM%202015-program.pdf#MS-Mo-D-32.88 MS-Mo-D-32 - Reduced-order modeling in uncertainty quantification and computational fluiddynamics - Part I of III]"
** "[http://www.iciam2015.cn/ICIAM%202015-program.pdf#MS-Mo-E-32.aD MS-Mo-E-32 - Reduced-order modeling in uncertainty quantification and computational fluiddynamics - Part II of III]"
** "[http://www.iciam2015.cn/ICIAM%202015-program.pdf#MS-We-E-03.cC MS-We-E-03 - Reduced-order modeling in uncertainty quantification and computational fluiddynamics - Part III of III]"
** "[http://www.iciam2015.cn/ICIAM%202015-program.pdf#MS-We-E-55.XZ MS-We-E-55 - New advances in model order reduction: methods, algorithms, and applications - Part I of II]"
** "[http://www.iciam2015.cn/ICIAM%202015-program.pdf#MS-Th-BC-55.A6 MS-Th-BC-55 - New advances in model order reduction: methods, algorithms, and applications - Part II of II]"
** "[http://www.iciam2015.cn/ICIAM%202015-program.pdf#MS-Tu-E-14.1F MS-Tu-E-14 - Optimality in reduced order modeling and inversion - Part I of II]"
** "[http://www.iciam2015.cn/ICIAM%202015-program.pdf#MS-We-D-14.l1 MS-We-D-14 - Optimality in reduced order modeling and inversion - Part II of II]"
* Reduced Order Methods Session at [http://www.yic.rwth-aachen.de/ YIC GACM ACCCES] July 20th - 23rd; Aachen (Germany)
* Session at [https://desreg.jku.at/ecc15/ European Control Conference 2015] July 15th -17th, 2015; Linz (Austria)
** "[http://controls.papercept.net/conferences/conferences/ECC15/program/ECC15_ContentListWeb_2.html#wea11 Model Reduction I]"
** "[http://controls.papercept.net/conferences/conferences/ECC15/program/ECC15_ContentListWeb_2.html#wec11 Model Reduction II]"
* [http://modelreduction.net/workshops/5th-annual 5th International Workshop on Model Reduction in Reacting Flows] June 28th - July 1st; Spreewald (Germany)
* [http://www3.math.tu-berlin.de/numerik/MoRTransPhen/ Model Reduction for Transport Dominated Phenomena] May 19th - 20th; Berlin (Germany)
* International Symposium: [http://www.tum-ias.de/bigdata2015/program.html Big Data and Predictive Computational Modelling] May 18th - 21st, 2015; München (Germany)
* Minisymposia at [http://www.siam.org/meetings/cse15 SIAM Conference on Computational Science and Engineering] March 14th - 18th, 2015; Salt Lake City (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=20081 MS4 - Adaptive Model Order Reduction - Part I of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=20082 MS30 - Adaptive Model Order Reduction - Part II of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=20083 MS55 - Adaptive Model Order Reduction - Part III of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=20296 MS91 - Parametric Model Reduction and Inverse Problems - Part I of IV]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=20297 MS116 - Parametric Model Reduction and Inverse Problems - Part II of IV]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=20300 MS143 - Parametric Model Reduction and Inverse Problems - Part III of IV]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=20301 MS169 - Parametric Model Reduction and Inverse Problems - Part IV of IV]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=19988 MS148 - Reduced-order Models for PDE-constrained Optimization Problems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=19989 MS174 - Reduced-order Models for PDE-constrained Optimization Problems - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=19907 MS187 - Recent Advances in Model Reduction - Part I of V]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=19908 MS211 - Recent Advances in Model Reduction - Part II of V]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=19960 MS236 - Recent Advances in Model Reduction - Part III of V]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=19961 MS260 - Recent Advances in Model Reduction - Part IV of V]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=19962 MS285 - Recent Advances in Model Reduction - Part V of V]"
* Session at [http://www.mathmod.at Vienna Conference on Mathematical Modelling (MathMod)] February 18th - 20th, 2015; Vienna (Austria)
** "Model Reduction"
* [http://congress.cimne.com/mor/frontal/objectives.asp Short Course on Model Order Reduction] January 26th - 29th, 2015; Barcelona (Spain)

=== 2014 ===
* [http://www.mfo.de/occasion/1448b/www_view Oberwolfach Seminar on Projection Based Model Reduction] November 23rd - 29th, 2014; Oberwolfach (Germany)
* [http://eu-mor.net EU-MORNET] Kick-Off Meeting September 18th - 19th; Eindhoven (Netherlands)
* [http://www2.le.ac.uk/departments/mathematics/extranet/conferences/model-reduction-across-disciplines Model reduction across disciplines] August 19th - 22nd, 2014; Leicester (United Kingdom)
* [http://wwwmath.uni-muenster.de/rbss2014 Reduced Basis Summer School 2014] August 18th - 22nd, 2014; Muenster (Germany)
* Bay Area ROM Workshop, August 7th, 2014; Livermore (USA)

* Minisymposia at [http://www.wccm-eccm-ecfd2014.org IACM-ECCOMAS 2014] July 20th - 25th, 2014; Barcelona (Spain)
** "[http://congress.cimne.com/iacm-eccomas2014/admin/Files/FileAbstract/a239.pdf MS239: Multibody System Dynamics and Modal Reduction]"
** "[http://congress.cimne.com/iacm-eccomas2014/admin/Files/FileAbstract/a15.pdf MS015: Reduced Basis, POD and PGD Model Reduction Techniques]"
** "[http://congress.cimne.com/iacm-eccomas2014/admin/Files/FileAbstract/a141.pdf MS141: Reduced Order Models in Vibroacoustics]"
** "[http://congress.cimne.com/iacm-eccomas2014/admin/Files/FileAbstract/a69.pdf MS069: Advanced Reduced-order Modeling Strategies for Parametrized PDEs and Applications]"

* Session at [http://www.siam.org/meetings/an14/ SIAM Annual Meeting 2014], July 7th - 11th; Chicago (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=19618 CP1 - Reduced Order Models]"
* Sessions at the [http://ecc14.eu European Control Conference 2014] June 24th- 27th, 2014; Strasbourg (France)
** "[https://controls.papercept.net/conferences/conferences/ECC14/program/ECC14_ContentListWeb_3.html#tha2 Model and Controller Reduction I]"
** "[https://controls.papercept.net/conferences/conferences/ECC14/program/ECC14_ContentListWeb_4.html#frc2 Model and Controller Reduction II]"
* Session at [http://acc2014.a2c2.org/ American Control Conference] June 4th - 6th, 2014; Portland (USA)
** "[https://css.paperplaza.net/conferences/conferences/2014ACC/program/2014ACC_ContentListWeb_1.html#wea04 Reduced Order Modeling]"
* Sessions at [http://siam.org/meetings/uq14/ SIAM Conference on Uncertainty Quantification] March 31st - April 3rd; Savannah (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=18137 MS10 - Model-Reduction Techniques for Quantifying and Controlling Uncertainty]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=18298 MT3 - Reduced Order Methods for Modelling and Computational Reduction in UQ Problems]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=18664 CP11 - Reduced-order Modeling]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=18192 MS67 - Surrogate and Reduced Order Modeling for Statistical Inversion and Prediction - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=18193 MS77 - Surrogate and Reduced Order Modeling for Statistical Inversion and Prediction - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=17858 MS87 - Uncertainty Quantification via Dimension Reduction: Deterministic and Stochastic Approaches]"
* [http://jahrestagung.gamm-ev.de/index.php/scientific-program/minisymposia Parametric Model Reduction of Dynamical Systems] Minisymposium at the [http://jahrestagung.gamm-ev.de/ GAMM annual meeting 2014] March 10th - 14th, 2014; Erlangen (Germany)

===2013===
* [http://www2.mpi-magdeburg.mpg.de/mpcsc/events/ModRed/2013/ ModRed 2013] December 11th - 13th, 2013; Magdeburg (Germany)
* [http://www.mathos.unios.hr/locschool2013/ DAAD International School on Linear Optimal Control of Dynamic Systems] September 23rd - 28th; Osijek (Croatia)
* [http://www.ma.tum.de/IGDK1754/SummerSchool2013 Summerschool "Reduced Basis Methods - Fundamentals and Applications"] September 16th - 19th; Munich (Germany)
* Reduced Basis Summer School 2013 August, 2013; Aachen (Germany)
* [http://enumath2013.epfl.ch Enumath] Minisymposium "Reduced order modelling for the simulation of complex systems" August 26th - 30th, 2013, Lausanne (Switzerland)
* Sessions at the [http://www.ecc13.ethz.ch European control Conference 2013] July 17th - 19th, 2013; Zurich (Switzerland)
** "[https://controls.papercept.net/conferences/conferences/ECC13/program/ECC13_ContentListWeb_4.html#fra12 Reduced Order Systems]"
** "[https://controls.papercept.net/conferences/conferences/ECC13/program/ECC13_ContentListWeb_4.html#frc12 Model Reduction]"
* [http://modelreduction.net/workshops/4th-annual 4th International Workshop on Model Reduction in Reacting Flows] June 19th - 21st, 2013, San Francisco (USA)
* Sessions at [http://acc2013.a2c2.org American Control Conference] June 17th - 19th, 2013; Washington D.C. (USA)
** "[https://css.paperplaza.net/conferences/conferences/2013ACC/program/2013ACC_ContentListWeb_3.html#web05 Reduced-Order Modeling]"
* [http://modredcirm2013.uni-muenster.de/ CIRM workshop Model Reduction and Approximation for Complex Systems] June 10th - 14th, 2013; Marseille (France)
* [http://www.tapir.caltech.edu/~rom-gr/ Reduced Order Modelling in General Relativity] June 6th - 7th, 2013; Pasadena (USA)
* Sessions at the [http://www.siam.org/meetings/cse13 SIAM Conference on Computational Science and Engineering] February 25th - March 1st; Boston (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15551 MS20 - Structure-preserving Model Order Reduction of Large-scale Dynamical Systems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15552 MS40 - Structure-preserving Model Order Reduction of Large-scale Dynamical Systems - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15728 MS14 - Model Reduction and Surrogate Modeling Advances in Porous Media Flow Simulation and Optimization - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15729 MS34 - Model Reduction and Surrogate Modeling Advances in Porous Media Flow Simulation and Optimization - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15547 MS104 - Data-Driven Model Reduction - Part I of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15548 MS138 - Data-Driven Model Reduction - Part II of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15549 MS194 - Data-Driven Model Reduction - Part III of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15676 MS144 - Nonlinear Model Reduction of Complex Flows: Modeling, Analysis, and Computations - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15677 MS182 - Nonlinear Model Reduction of Complex Flows: Modeling, Analysis, and Computations - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15639 MS45 - Data Driven and Nonliner Model Reduction - Parts I of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15640 MS68 - Data Driven and Nonliner Model Reduction - Parts II of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15641 MS116 - Data Driven and Nonliner Model Reduction - Parts III of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15422 MS95 - Reduced Order Modelling for Complex Systems in CFD - Part I of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15423 MS164 - Reduced Order Modelling for Complex Systems in CFD - Part II of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15424 MS244 - Reduced Order Modelling for Complex Systems in CFD - Part III of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15758 MS219 - Model Order Reduction: Recent Advances and Challenges - Part I of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15759 MS257 - Model Order Reduction: Recent Advances and Challenges - Part II of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15760 MS272 - Model Order Reduction: Recent Advances and Challenges - Part III of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15952 CP12 - Model Reduction and Data-Driven Approaches]"

===2012===
* [http://www.morepas.org/workshop2012/index.html MoRePaS 2] October 2nd - 5th, 2012; Günzburg (Germany)
* [http://www.mathematik.uni-stuttgart.de/fak8/ians/lehrstuhl/agh/misc/events/rbm_workshop_2012.html Reduced Basis Summer School 2012] August 28th - 31st; Stuttgart (Germany)
* [http://www.math.uni-hamburg.de/moa/ Workshop on Adaptivity and Model Order Reduction in PDE Constrained Optimization] July 23rd - 27th; Hamburg (Germany)
* Sessions at [http://acc2012.a2c2.org/ American Control Conference] June 27th - 29th, 2012; Montreal (Canada)
** "[https://css.paperplaza.net/conferences/conferences/2012ACC/program/2012ACC_ContentListWeb_1.html#wec20 Reduced Order Modeling]"
* [https://www.cecam.org/workshop-2-681.html Reduced Basis, POD and Reduced Order Methods for model and computational reduction: towards real-time computing and visualization?] May 14 - 16th; Lausanne (Switzerland)
* [https://www2.mpi-magdeburg.mpg.de/mpcsc/news/program_tegernsee.pdf Workshop on Nonlinear MOR] May 6th - 9th; Tegernsee (Germany)
* Minisymposia at [http://siam.org/meetings/uq12/ SIAM Conference on Uncertaity Quantification] April 2nd - 6th; Raleigh (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=14305 MS58 - Model Reduction for Nonlinear Dynamical Systems]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=14520 MS80 - Reduced Order Modeling for High Dimensional Nonlinear Models]"

===2011===
* [http://www.math.uni-konstanz.de/numerik/pod/workshop Advances in POD and RB Model-Order Reduction] November 21st, 2011; Konstanz (Germany)
* [http://www.uni-ulm.de/mawi/mawi-numerik/aktuelles/summer-school-rbm.html Reduced Basis Summer School 2011] October 25th - 28th; Ulm (Germany)
* [http://www2.mpi-magdeburg.mpg.de/mpcsc/events/trogir/ Summer School on Numerical Linear Algebra for Dynamical and High-Dimensional Problems] October 10th - 15th; Trogir (Croatia)
* [http://www.math.uni-bremen.de/zetem/cms/detail.php?template=gamm_parse_title&person=gamm11/program GAMM Workshop Applied and Numerical Linear Algebra with Special Emphasis on Model Reduction] September 21st - 22nd; Bremen (Germany)
* Sessions at [http://iciam.org/event/iciam-2011-%E2%80%93-vancouver 7th International Congress on Industrial and Applied Mathematics] July 18th - 22nd; Vancouver (Canada)
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=11230 MS38 - Optimal Parameter Sampling in Model Reduction - Part I of III]"
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=11231 MS87 - Optimal Parameter Sampling in Model Reduction - Part II of III]"
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=11232 MS136 - Optimal Parameter Sampling in Model Reduction - Part III of III]"
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=11296 MS148 - Structure-Preserving Model Reduction - Part I of III]"
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=11297 MS199 - Structure-Preserving Model Reduction - Part II of III]"
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=11298 MS256 - Structure-Preserving Model Reduction - Part III of III]"
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=11452 MS340 - Dynamical Systems Approaches to Model Reduction -- Part I of II]"
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=12051 MS388 - Dynamical Systems Approaches to Model Reduction -- Part II of II]"
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=11877 MS363 - Reduced Basis Methods and their Applications - Part I of IV]"
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=11878 MS416 - Reduced Basis Methods and their Applications - Part II of IV]"
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=11879 MS462 - Reduced Basis Methods and their Applications - Part III of IV]"
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=11880 MS511 - Reduced Basis Methods and their Applications - Part IV of IV]"
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=13350 CP36 - Reduced Order Models]"
* [http://www.modelreduction.net/iwmrrf2011/site/ 3rd International Workshop on Model Reduction in Reacting Flows] April 27th - 29th; Corfu (Greece)
* Session at the [http://siam.org/meetings/cse11 SIAM Conference on Computational Science and Engineering] February 28th - March 4th; Reno (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=10982 MS18 - Model Reduction of Nonlinear and Parametrized Systems - Part I of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=10983 MS26 - Model Reduction of Nonlinear and Parametrized Systems - Part II of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=10984 MS40 - Model Reduction of Nonlinear and Parametrized Systems - Part III of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=11497 MS39 - Model Order Reduction Using Graph Theory and Numerical Linear Algebra]"
* [http://www.wias-berlin.de/workshops/MOR2011/ Workshop on Model Order Reduction in Optimization and Control with PDEs] January 26th - 28th; Berlin (Germany)

===2010===
* [http://www.ians.uni-stuttgart.de/MoRePaS/events/Ulm10/index.html Workshop on RB Methods] December 7th - 8th, 2010; Ulm (Germany)
* [http://www3.math.tu-berlin.de/modred2010/ ModRed 2010] December 2nd - 4th, 2010; Berlin (Germany)
* Sessions at [http://www.siam.org/meetings/an10/ SIAM Annual Meeting 2010], July 12th - 16th, 2010; Pittsburgh (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=10125 MS2 - Advances in Model Reduction for Large-Scale Problems - Part I of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=10126 MS38 - Advances in Model Reduction for Large-Scale Problems - Part II of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=10127 MS51 - Advances in Model Reduction for Large-Scale Problems - Part III of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=10202 MS33 - Reduced Order Models for Dynamical Systems]"
* Minisymposium "[http://www.eccomas-cfd2010.org/minisymposia.php Model Order Reduction of Complex Systems in CFD]" at [http://www.eccomas-cfd2010.org ECCOMAS CFD]; June 14th - 17th, 2010; Lisbon (Portugal)

===2009===
* Sessions at [https://archive.siam.org/meetings/la09/index.php SIAM Conference on Applied Linear Algebra] October 26 th 29th, 2009; Monterey Bay-Seaside (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=8992 MS14 - Model Order Reduction for Dynamical Systems - Part I of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=8993 MS20 - Model Order Reduction for Dynamical Systems - Part II of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=8994 MS32 - Model Order Reduction for Dynamical Systems - Part III of III]"
* [http://www.win.tue.nl/casa/meetings/special/mor09/ Autumn School on Future Developments in Model Order Reduction] September 21st - 25th, 2009; Terschelling (Netherlands)
* [http://www.uni-muenster.de/CeNoS/ocs/index.php/MRP/MRP09/ MoRePaS] September 16th - 18th, 2009; Münster (Germany)
* Session at [http://www.siam.org/meetings/an09/ SIAM Annual Meeting 2009] July 6th - 10th, 2009; Denver (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=8863 CP20 - Model Reduction]"
* [http://modelreduction.net/iwmrrf2009/ 2nd International Workshop on Model Reduction in Reacting Flows] March 30th - April 1st, 2009 Notre Dame (USA)
* [http://www.cl.eps.manchester.ac.uk/medialand/maths/archived-events/workshops/www.mims.manchester.ac.uk/events/workshops/HSMoR09/ CICADA Workshop on Hybrid Systems and Model Reduction] March 19th - 20th, 2009 Manchester (England)
* Sessions at the [http://siam.org/meetings/cse09 SIAM Conference on Computational Science and Engineering] March 2nd - 6th, 2009; Miami (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=8306 CP12 - Model Reduction]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=7918 MS106 - Model Reduction - Part I of V]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=7919 MS119 - Model Reduction - Part II of V]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=7920 MS127 - Model Reduction - Part III of V]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=7921 MS141 - Model Reduction - Part IV of V]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=7922 MS151 - Model Reduction - Part V of V]"

===2008===

* [https://www.math.uni-hamburg.de/spag/zms/syrene/ Model Reduction for Circuit Simulation] October 30th - 31st, 2008; Hamburg (Germany)
* Session at [http://acc2008.a2c2.org/ American Control Conference] June 11th - 13th, 2008; Seattle (USA)
** "[https://css.paperplaza.net/conferences/conferences/2008ACC/program/2008ACC_ContentListWeb_3.html#fra11 Model Reduction]"

===2007===
* [http://www.win.tue.nl/casa/meetings/special/mor07/ Symposium on Recent Advances in Model Order Reduction] November 23rd, 2007; Eindhoven (Netherlands)
* [http://modelreduction.net/ModelReductionWorkshop/Home%20Page.html 1st International Workshop on Model Reduction in Reacting Flows] September 3rd - 5th, 2007; Rome (Italy)
* Sessions at [http://iciam.org/event/iciam-2007-%E2%80%93-zurich 6th International Congress for Industrial and Applied Mathematics] July 16th - 20th, 2007; Zurich (Switzerland)
** "[http://iciamold.jsiam.org/iciam2007/ICIAM07-ProgramBook.pdf#IC/MP/002/S/346 Model reduction: theory, methodology and software #1]"
** "[http://iciamold.jsiam.org/iciam2007/ICIAM07-ProgramBook.pdf#IC/MP/002/S/346-2 Model reduction: theory, methodology and software #2]"
** "[http://iciamold.jsiam.org/iciam2007/iciam07_programbook.pdf#IC/MP/020/S/347 Model reduction: structured and higher-order systems #1]"
** "[http://iciamold.jsiam.org/iciam2007/iciam07_programbook.pdf#IC/MP/020/S/347-2 Model reduction: structured and higher-order systems #2]"
** "[http://iciamold.jsiam.org/iciam2007/iciam07_programbook.pdf#IC/MP/020/P/348 Model reduction in circuit simulation #1]"
** "[http://iciamold.jsiam.org/iciam2007/ICIAM07-ProgramBook.pdf#IC/MP/020/P/348-2 Model reduction in circuit simulation #2]"
* Session at [http://acc2007.a2c2.org/ American Control Conference] July 11th - 13th, 2007; New York (USA)
** "[https://css.paperplaza.net/conferences/conferences/2007ACC/program/2007ACC_ContentListWeb_1.html#web07 Reduced Order Modeling]"
* Sessions at [https://archive.siam.org/meetings/ct07/index.php SIAM Conference on Control and its Application] June 29th - July 1st, 2007; San Francisco (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=6338 MS16 - Model Reduction for Control and Dynamical Systems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=6339 MS21 - Model Reduction for Control and Dynamical Systems - Part II of II]"
* Sessions at [http://siam.org/meetings/cse07 SIAM Conference on Computational Science and Engineering] February 19th - 23rd, 2007; Costa Mesa (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=5955 MS36 - Model Order Reduction and Automated Behavioural Modeling - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=6029 MS48 - Model Order Reduction and Automated Behavioural Modeling - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=6137 CP12 - Reduced Order Modelling]"

===2006===
* Session "Model Reduction" at [http://www.eurosime.org/b06.htm EuroSimE 2006] April 24th - 26th, 2006; Como (Italy)

* Minisymposia at [http://www.siam.org/meetings/an06/index.php SIAM Annual Meeting 2006] July 10th - 14th, 2006; Boston (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=5357 MS13 - Model Reduction of Dynamical Systems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=5358 MS31 - Model Reduction of Dynamical Systems - Part II of II]"

===2005===
* [http://www.lorentzcenter.nl/lc/web/2005/160/info.php3?wsid=160. Model order reduction, coupled problems and optimization] September 19th - 23rd, 2005; Leiden (Netherlands)

* Minisymposia at [http://www.siam.org/meetings/an05/index.htm SIAM Annual Conference 2005] July 11th - 15th, 2005; New Orleans (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=4372 MS43 - Model Reduction for Large Scale Dynamical Systems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=4373 MS55 - Model Reduction for Large Scale Dynamical Systems - Part II of II]"

===2004===
* [https://www.birs.ca/events/2004/5-day-workshops/04w5513 Model Reduction Problems and Matrix Methods] April 3rd - 8th; Banff (Canada)

===2003===
* [http://web.archive.org/web/20070612131401/http://www.math.tu-berlin.de/numerik/mt/NumMat/Meetings/0310_MFO/ Dimensional Reduction of Large-Scale Systems] October 19th - 25th, 2003 Oberwolfach (Germany)

===2001===
* [https://research.tue.nl/en/activities/macsi-workshop-on-model-reduction MACSI workshop on Model Reduction] October 8th - 9th, 2001; Eindhoven (Netherlands)
* Minisymposium at [http://user.it.uu.se/~icosahom/ International Conference On Spectral and High Order Methods] June 11th - 15th, 2001; Uppsala (Sweden)
** "Reduced-Basis Methods for Partial Differential Equations"

===2000===
* Session at the [https://archive.siam.org/meetings/cse00/ First SIAM Conference on Computational Science and Engineering] September 21st - 24th, 2000; Washington D.C. (USA)
** "[https://archive.siam.org/meetings/cse00/cp25.htm CP25 - Model Reduction, Validation and Data Assimilation]"

===1999===
* Minisymposia at the [http://iciam.org/event/iciam-1999-%E2%80%93-edinburgh 4th International Council for Industrial and Applied Mathematics Congress] July 5th - 9th, 1999; Edinburgh (Scotland)
** "[http://www.macs.hw.ac.uk/archive/iciam99/PrintedProgramme/BookOfAbstracts.pdf#page=171 MSP-187 Reduced-Order Modeling of Large-Scale Systems and Applications in Industry]"
** "[http://www.macs.hw.ac.uk/archive/iciam99/PrintedProgramme/BookOfAbstracts.pdf#page=187 MSP-205,206 Methods of Dimension Reduction]"

Emgr

2024-01-11T21:34:50Z

Himpe: /* References */ Add TOMS paper

[[Category:Software]]
[[Category:MATLAB]]
[[Category:Octave]]

[[File:Emgr_box.png|200px|right|emgr box]]

== Synopsis ==

[https://gramian.de emgr] - '''Em'''pirical '''Gr'''amian Framework (Version '''5.99''').
Empirical gramians can be computed for linear and nonlinear control systems for purposes of model order reduction, uncertainty quantification and system identification.
Model reduction using empirical gramians can be applied to the state space, to the parameter space or to both through combined reduction.
The '''emgr''' framework is a compact open source toolbox for gramian-based model reduction and compatible with [http://www.gnu.org/software/octave/ OCTAVE] and [http://www.mathworks.de/products/matlab/ MATLAB].

== Features ==
[[File:Appmat.PNG|thumb|400px|right|Application matrix for the empirical gramian framework]]

'''emgr''' encompasses seven types of gramians:

* Empirical [[:Wikipedia:Controllability_Gramian|Controllability Gramian]] / Empirical Output Controllability Gramian
* Empirical [[:Wikipedia:Observability_Gramian|Observability Gramian]] / Empirical Average Observability Gramian
* Empirical [[:Wikipedia:Cross_Gramian|Cross Gramian]] / Empirical Non-Symmetric Cross Gramian
* Empirical Linear Cross Gramian / Empirical Non-Symmetric Linear Cross Gramian
* Empirical Sensitivity Gramian (parameter controllability)
* Empirical Identifiability Gramian (parameter observability)
* Empirical Joint Gramian (parameter observability)

[[File:emgr-flyer.pdf|thumb|right|emgr overview]]

=== Applications: ===

* Model reduction
** Proper Orthogonal Decomposition (POD)
** Modified POD / Approximate Balancing
** Dominant Subspace Projection Model Reduction (DSPMR)
** Balanced Proper Orthogonal Decompsition (bPOD)
** Balanced Truncation
** Balanced Gains
** Dynamic Mode Decomposition-Galerkin
* Parameter reduction
* Combined state and parameter reduction
* Decentralized control
* State sensitivity
* Parameter sensitivity
* Parameter identification
* Nonlinearity quantification
* Uncertainty quantification
* System indices
* System norms
* Tau function

== Meta Information ==

{| class="wikitable"
|+Code Meta Data
|-
|style="text-align:right;" | '''name:'''
|Empirical Gramian Framework (emgr)
|-
|style="text-align:right;" | '''version:'''
|5.99 (2022-04-13)
|-
|style="text-align:right;" | '''id:'''
|[https://doi.org/10.5281/zenodo.6457616 10.5281/zenodo.6457616] (doi)
|-
|style="text-align:right;" | '''author:'''
|Christian Himpe ([http://orcid.org/0000-0003-2194-6754 0000-0003-2194-6754])
|-
|style="text-align:right;" | '''topic:'''
|Science, Mathematics, Model Reduction
|-
|style="text-align:right;" | '''type:'''
|Toolbox
|-
|style="text-align:right;" | '''license:'''
|[[wikipedia:BSD_licenses#2-clause|BSD-2-Clause]] (open-source)
|-
|style="text-align:right;" | '''repository:'''
|https://github.com/gramian/emgr (git)
|-
|style="text-align:right;" | '''language:'''
|Matlab
|-
|style="text-align:right;" | '''dependencies:'''
|[[wikipedia:GNU_Octave|Octave]] >=5.2, [[wikipedia:MATLAB|Matlab]] >=2017b
|-
|style="text-align:right;" | '''systems:'''
|Linux, Windows
|-
|style="text-align:right;" | '''website:'''
|https://gramian.de
|-
|style="text-align:right;" | '''keywords:'''
|Controllability, Observability, Cross Gramian, Model Reduction, Model Order Reduction
|}

== Cite ==

Please cite '''emgr''' as:

C. Himpe (2021). emgr - EMpirical GRamian Framework (Version 5.99) [Software].
Available from https://gramian.de . doi:10.5281/zenodo.6457616

@MISC{emgr599,
author = {C.~Himpe},
title = {{emgr - {EMpirical GRamian Framework} (Version~5.99)},
howpublished = {\url{https://gramian.de}},
year = {2022},
doi = {10.5281/zenodo.6457616}
}

== References ==

* [[User:Himpe|C. Himpe]]. "[https://doi.org/10.1145/3609860 emgr - EMpirical GRamian Framework 5.99]". Transactions on Mathematical Software, 49(3): 31, 2023.

* [[User:Himpe|C. Himpe]]. "[https://doi.org/10.1007/978-3-030-72983-7_7 Comparing (Empirical-Gramian-Based) Model Order Reduction Algorithms]". Model Reduction of Complex Dynamical Systems, International Series of Numerical Mathematics 171: 141--164, 2021.

* P. Benner, [[User:Himpe|C. Himpe]]. "[https://doi.org/10.1007/s10444-019-09724-7 Cross-Gramian-Based Dominant Subspaces]". Advances in Computational Mathematics 45(5): 91, 2533--2553, 2019.

* S. Grundel, [[User:Himpe|C. Himpe]], J. Saak. "[https://doi.org/10.1002/pamm.201900006 On Empirical System Gramians]". Proceedings in Applied Mathematics and Mechanics, 19: e201900006, 2019.

* [[User:Himpe|C. Himpe]]. "[https://doi.org/10.3390/a11070091 emgr - The Empirical Gramian Framework]". Algorithms 11(7): 91, 2018.

* [[User:Himpe|C. Himpe]], T. Leibner, S. Rave, J. Saak. "[https://doi.org/10.1002/pamm.201710388 Fast Low-Rank Empirical Cross Gramians]". Proceedings in Applied Mathematics and Mechanics, 17: 841--842, 2017.

* [[User:Himpe|C. Himpe]]. "[https://doi.org/10.14626/9783868448818 Combined State and Parameter Reduction for Nonlinear Systems with an Application in Neuroscience]". Westfälische Wilhelms Universität, Sierke Verlag Göttingen, 2017.

* [[User:Himpe|C. Himpe]], M. Ohlberger. "[https://doi.org/10.1080/21642583.2016.1215273 A Note on the Cross Gramian for Non-Symmetric Systems]". System Science and Control Engineering 4(1): 199--208, 2016.

* [[User:Himpe|C. Himpe]], M. Ohlberger. "[https://doi.org/10.1016/j.ifacol.2015.05.163 The Empirical Cross Gramian for Parametrized Nonlinear Systems]". IFAC-PapersOnLine (8th Vienna International Conference on Mathematical Modelling), 48(1): 727--728, 2015.

* [[User:Himpe|C. Himpe]], M. Ohlberger. "[https://doi.org/10.1109/ECC.2014.6862188 Model Reduction for Complex Hyperbolic Networks]". Proceedings of the European Control Conference: 2739--2743, 2014.

* [[User:Himpe|C. Himpe]], M. Ohlberger. "[https://doi.org/10.1155/2014/843869 Cross-Gramian Based Combined State and Parameter Reduction for Large-Scale Control Systems]". Mathematical Problems in Engineering, 2014: 843869, 2014.

* [[User:Himpe|C. Himpe]], M. Ohlberger. "[https://doi.org/10.1155/2013/365909 A Unified Software Framework for Empirical Gramians]". Journal of Mathematics 2013: 365909, 2013.

== Links ==

* Official website: https://gramian.de

* Github Repo: https://github.com/gramian/emgr

* SWmath: [https://swmath.org/software/7554 Entry]

* Oberwolfach References on Mathematical Software: [http://orms.mfo.de/project?id=345 Entry]

* SIAM DSweb Dynamical Systems Software: [https://dsweb.siam.org/Software/emgr-empirical-gramian-framework Entry]

== Contact ==

[[User:Himpe| Christian Himpe]]

MOR Wiki:Current events

2023-10-18T20:24:29Z

Himpe: /* Upcoming Workhops and Conferences */ added ymmor2024

[[Category:Miscellaneous]]

== MOR Wiki Users Meetings ==

* The first general assembly of MOR Wiki users took place on December 10th - 2013, at the [http://mpim.iwww.mpg.de/research/groups/csc MPI in Magdeburg] (Germany).

* The second MOR Wiki meeting took place on April 23rd - 2015, at the [http://mpim.iwww.mpg.de/research/groups/csc MPI in Magdeburg] (Germany).

* The third MOR Wiki meeting took place on January 11th - 2017, during the [http://www.mpi-magdeburg.mpg.de/csc/events/modred2017 ModRed in Odense] (Denmark).

== Upcoming Workhops and Conferences ==

* [https://www.ymmor2024.uni-stuttgart.de/ Young Mathematicians in Model Order Reduction Conference 2024], March 4 - 8, 2024; Stuttgart (Germany)

* [https://mortech2023.sciencesconf.org/ MORTech 2023 – 6th International Workshop on Model Reduction Techniques], November 22 - 24, 2023; Paris-Saclay (France)

* [https://more2024.sciencesconf.org/ MORe2024 - Model Reduction and Surrogate Modeling], September 9 - 13, 2024; La Jolla, California (United States)

== Past Events ==

=== 2023 ===

* [https://ims.nus.edu.sg/events/international-workshop-on-reduced-order-methods/ International Workshop on Reduced Order Methods], May 22nd - 26th, 2023; Singapore (Singapore)

* [https://personal.math.vt.edu/borggajt/nlromc/index.html Nonlinear Model Reduction for Control], May 22nd - 26th, 2023; Blacksburg (USA).

=== 2022 ===

* [https://alop.uni-trier.de/event/autumn-school-on-model-reduction-and-model-predictive-control-with-differential-equations/ Model Reduction and Model Predictive Control with Differential Equations], October 4th - 7th, 2022; Trier (Germany)

* [https://more.sciencesconf.org/ Model Reduction and Surrogate Modeling (MORE)], September 19th - 23rd, 2022; Berlin (Germany)

* [https://www.mathmod.at/ 10th Vienna International Conference on Mathematical Modelling], July 27th – 29th, 2022;Vienna (Austria)
** [https://ifac.papercept.net/conferences/conferences/MAMO21/program/MAMO21_ContentListWeb_2.html#wed3 Model Reduction]
** [https://ifac.papercept.net/conferences/conferences/MAMO21/program/MAMO21_ContentListWeb_2.html#wed1 Recent Advances in Model Reduction and Surrogate Modeling I of IV]
** [https://ifac.papercept.net/conferences/conferences/MAMO21/program/MAMO21_ContentListWeb_2.html#wee1 Recent Advances in Model Reduction and Surrogate Modeling II of IV]
** [https://ifac.papercept.net/conferences/conferences/MAMO21/program/MAMO21_ContentListWeb_2.html#thb1 Recent Advances in Model Reduction and Surrogate Modeling III of IV]
** [https://ifac.papercept.net/conferences/conferences/MAMO21/program/MAMO21_ContentListWeb_2.html#thd1 Recent Advances in Model Reduction and Surrogate Modeling IV of IV]

* [https://www.uni-muenster.de/MathematicsMuenster/events/2022/YMCN-model-order-reduction.shtml#Schedule Young Mathematicians in Model Order Reduction (YMMOR)], July 18th - 22th, 2022; Münster (Germany)

* [https://dcn.nat.fau.eu/events/mini-workshop-model-reduction-and-control/ Mini-Workshop "Model Reduction and Control"] May 24th, 2022; (ONLINE)

* [https://www.siam.org/conferences/cm/conference/uq22 SIAM Conference on Uncertainty Quantification], April 12th -15th, 2022; Atlanta (USA)
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=73287 MS4: Nonlinear Model Reduction Methods for Random or Parametric Time Dependent Problems - Part I of III]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=73288 MS32: Nonlinear Model Reduction Methods for Random or Parametric Time Dependent Problems - Part II of III]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=73289 MS76: Nonlinear Model Reduction Methods for Random or Parametric Time Dependent Problems - Part III of III]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=73521 MS154: Reduced Order Modelling for Forward and Inverse UQ - Part I of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=73537 MS168: Reduced Order Modelling for Forward and Inverse UQ - Part II of II]

=== 2021 ===

* [https://indico.sissa.it/event/43/ RAMSES: Reduced order models; Approximation theory; Machine learning; Surrogates, Emulators and Simulators], December 14th - 17th, 2021; Trieste (Italy)

* [https://www.romsoc.eu/wim-2021/ Workshop in Industrial Mathematics (WIM2021) with the Reduced-Order Modeling, Simulation and Optimization of Coupled Systems], October 20th - 22nd; Catania (Italy)

* [https://www.icms.org.uk/events/event/?id=1178 New Developments in Reduced Order Modelling], October 15th; '''ONLINE'''

* [https://mmldt.eng.ucsd.edu/home MMLDT-CSET - Mechanistic Machine Learning and Digital Twins for Computational Science, Engineering & Technology 2021], September 26th - 29th, 2021; San Diego (USA)
** [https://docs.google.com/spreadsheets/d/1GosdHfvpskcnnR56u29ZRNfBWC4kg0hR/edit#gid=83060610&range=A1 MS 4-7: Physics-Informed Data-based Model Reduction]
** [https://docs.google.com/spreadsheets/d/1GosdHfvpskcnnR56u29ZRNfBWC4kg0hR/edit#gid=1626075110&range=A1 MS 4-8: Model Reduction and Machine Learning for Fluids and Fluid-Structure Interactions]
** [https://docs.google.com/spreadsheets/d/1GosdHfvpskcnnR56u29ZRNfBWC4kg0hR/edit#gid=618092903&range=A1 MS 4-9: Advances in Reduced Order Modeling of Solids and Fluids and Porous Media]
** [https://docs.google.com/spreadsheets/d/1GosdHfvpskcnnR56u29ZRNfBWC4kg0hR/edit#gid=378364206&range=A1 MS 4-10: Model Reduction of Dynamical Systems with Deep Learning]
** [https://docs.google.com/spreadsheets/d/1GosdHfvpskcnnR56u29ZRNfBWC4kg0hR/edit#gid=667740&range=A1 MS 5-1: Advances in Machine Learning and Model Reduction for Inversion in Geophysical and Geological Applications]

* [http://smai.emath.fr/cemracs/cemracs21/ CEMRACS 2021 - Data Assimilation and Reduced Modeling for High Dimensional Problems], July 19th - August 27th, 2021; Luminy (France)

* [http://16.usnccm.org US National Congress on Computational Mechanics (USNCCM)], July 25th - 29th, 2021; Chicago (USA)
** "[http://16.usnccm.org/MS_311 MS311: Model Order Reduction for Physical Simulations]"

* [https://www.siam.org/conferences/cm/conference/an21 SIAM Annual Meeting], July 19th - 23rd, 2021; '''ONLINE'''
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=71670 MS62: Advances in Uncertainty Quantification with Model Order Reduction Methods I]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=71671 MS88: Advances in Uncertainty Quantification with Model Order Reduction Methods II]

* [https://www.siam.org/conferences/cm/conference/ct21 SIAM Conference on Control and Its Applications], July 19th - 21st, 2021; '''ONLINE'''
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=71167 MS1: Model Reduction for Control of High-Dimensional Nonlinear Systems I]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=71168 MS9: Model Reduction for Control of High-Dimensional Nonlinear Systems II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=71169 MS17: Model Reduction for Control of High-Dimensional Nonlinear Systems III]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=72048 MS26: Data-Driven Methods in Model Reduction and Control I]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=72049 MS34: Data-Driven Methods in Model Reduction and Control II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=72050 MS42: Data-Driven Methods in Model Reduction and Control III]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=71716 MS25: Model Reduction of Complex Dynamical Systems and its Applications I]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=71717 MS33: Model Reduction of Complex Dynamical Systems and its Applications II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=71718 MS41: Model Reduction of Complex Dynamical Systems and its Applications III]

* [https://www.siam.org/conferences/cm/conference/cse21 SIAM Conference on Computational Science and Engineering (CSE21)], March 1st - 5th, 2021; Fort Worth (USA)
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=70067 MS8: Data Driven Reduced Order Models: Structure, Networks and Imaging - Part I of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69881 MS26: Reduced Order Methods for Parametric CFD Problems - Part I of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69861 MS27: Reduced Order Model Stabilizations and Closures - Part I of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69824 MS31: Structure-Preserving Model Order Reduction for Large-Scale Systems - Part I of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69862 MS60: Reduced Order Model Stabilizations and Closures - Part II of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69943 MS74: Dimensionality Reduction and Reduced-Order Models for the Boltzmann Transport Equation]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=70068 MS98: Data Driven Reduced Order Models: Structure, Networks and Imaging - Part II of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69882 MS111: Reduced Order Methods for Parametric CFD Problems - Part II of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69928 MS113: Reduced-Order Modeling and Analysis of Turbulence - Part I of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69825 MS119: Structure-Preserving Model Order Reduction for Large-Scale Systems - Part II of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69929 MS147: Reduced-Order Modeling and Analysis of Turbulence - Part II of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=70145 MS172: Model Order Reduction for Large-Scale Problems - Part I of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=70146 MS234: Model Order Reduction for Large-Scale Problems - Part II of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=70123 MS309: Data-Driven Modeling and Model Reduction: Honoring 70th Birthday of Thanos Antoulas - Part I of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69938 MS319: Model Order Reduction for Complex Systems - Part I of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69816 MS324: Recent Advances in Model Order Reduction for Advection-Dominated Simulations - Part I of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69764 MS326: Recent Developments in Nonlinear Model Reduction Methods - Part I of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=70124 MS340: Data-Driven Modeling and Model Reduction: Honoring 70th Birthday of Thanos Antoulas - Part II of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69939 MS350: Model Order Reduction for Complex Systems - Part II of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69819 MS355: Recent Advances in Model Order Reduction for Advection-Dominated Simulations - Part II of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69765 MS357: Recent Developments in Nonlinear Model Reduction Methods - Part II of II]

* [https://www.wccm-eccomas2020.org 14th WWCM and ECCOMAS Congress 2020], January 11th - 15th, 2021; Paris (France)
** "[https://www.wccm-eccomas2020.org/admin/Files/FileAbstract/a93.pdf MS93: Reduced Order and Surrogate Modeling for Uncertainty Analysis in Structural Mechanics]"
** "[https://www.wccm-eccomas2020.org/admin/Files/FileAbstract/a139.pdf MS139: Advances in Intrusive and Non-Intrusive Order Reduction Techniques for Flow Analysis, Control and Optimization]"
** "[https://www.wccm-eccomas2020.org/admin/Files/FileAbstract/a152.pdf MS152: Model Order Reduction Methods for Parametrized Mechanical Systems]"
** "[https://www.wccm-eccomas2020.org/admin/Files/FileAbstract/a170.pdf MS170: Numerical Model Reduction and Data-Driven Surrogates for Multi-Physics Applications]"
** "[https://www.wccm-eccomas2020.org/admin/Files/FileAbstract/a179.pdf MS179: Numerical Techniques for the Simulations and Model Reduction of Complex Physical Systems]"
** "[https://www.wccm-eccomas2020.org/admin/Files/FileAbstract/a204.pdf MS204: Analysing Parameterised Reduced Order Models]"
** "[https://www.wccm-eccomas2020.org/admin/Files/FileAbstract/a371.pdf MS371: Model Order Reduction for Vibroacoustic Problems]"
** "[https://www.wccm-eccomas2020.org/admin/Files/FileAbstract/a415.pdf MS415: Model Order Reduction for Nonlinear (Time, Space, Parameter) Multiscale Problems and Applications]"
** "[https://www.wccm-eccomas2020.org/admin/Files/FileAbstract/a458.pdf MS458: Coupled Multiphysics Problems and Reduced Order Methods Applied to Compute Digital Twin Models in Industrial Applications]"

=== 2020 ===

* [https://www.mfo.de/occasion/2045a/www_view Banach Center – Oberwolfach Graduate Seminar: Model Reduction and Approximation: Projection-, Tensor- and Data-based Methods], November 1st - 7th, 2020; Bedlewo (Poland) ('''CANCELLED''')

* [https://www.tu-chemnitz.de/mathematik/dmv2020/index.php DMV Annual Meeting], September 14th - 18th, 2020; ('''VIRTUAL''')
** "[https://www.tu-chemnitz.de/mathematik/dmv2020/minisymp.php Model Order Reduction]"

* [https://morss2020.epfl.ch Model Order Reduction Summer School]; September 7th - 10th, 2020; ('''VIRTUAL''')

* [https://www.mpi-magdeburg.mpg.de/csc/events/samm20 SAMM20 - Learning Models from Data: Model Reduction, System Identification and Machine Learning], July 27th - 31st, 2020; ('''VIRTUAL''')

* [https://www.siam.org/conferences/cm/conference/an20 2nd Joint SIAM/CAIMS Annual Meeting], July 6th - 17th, 2020; ('''VIRTUAL''')
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=68897 MS4: Projection-Based Model Order Reduction for Partial Differential Equations - Part I of II]"
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=68898 MS7: Projection-Based Model Order Reduction for Partial Differential Equations - Part II of II]"

* [https://icerm.brown.edu/programs/sp-s20/ Model and dimension reduction in uncertain and dynamic systems], January 27th - May 1st, 2020; Providence (USA)
** [https://icerm.brown.edu/programs/sp-s20/w1/ Mathematics of Reduced Order Models], February 17th - 21st
** [https://icerm.brown.edu/programs/sp-s20/w2/ Algorithms for Dimension and Complexity Reduction], March 23rd - 27th ('''VIRTUAL''')
** [https://icerm.brown.edu/programs/sp-s20/w3/ Computational Statistics and Data-Driven Models], April 20th - 24th ('''VIRTUAL''')

* [https://siam-uq20.ma.tum.de SIAM Conference on Uncertainty Quantification (UQ20)], March 24th - 27th, 2020; Munich (Germany) ('''CANCELLED''')
** "[https://www.events.tum.de/frontend/index.php?page_id=3712&v=List&do=15&day=490&ses=1625# CT20: ROM and Surrogate Models]"
** "[https://www.events.tum.de/frontend/index.php?page_id=3712&v=List&do=15&day=489&ses=1723# MS311: Dynamical low rank and reduced basis methods for random or parametric time dependent problems (Part I of II) ]"
** "[https://www.events.tum.de/frontend/index.php?page_id=3712&v=List&do=15&day=489&ses=1724# MS312: Dynamical low rank and reduced basis methods for random or parametric time dependent problems (Part II of II)]"
** "[https://www.events.tum.de/frontend/index.php?page_id=3712&v=List&do=15&day=490&ses=1717# MS331: Recent Advances in Reduced-Order Models for Many Query and Time-Critical Problems]"
** "[https://www.events.tum.de/frontend/index.php?page_id=3712&v=List&do=15&day=491&ses=1774# MS351: Reduced order methods for uncertainty quantification in CFD parametric problems]"

=== 2019 ===

* [https://mortech2019.sciencesconf.org/ MORTech - 5th International Workshop on Reduced Basis, POD or PGD-Based Model Reduction Technique], November 20th - 22nd, 2019; Paris (France)

* [https://www.tudelft.nl/en/events/2019/dcse/dcse-fall-school-november-4-8-2019-on-reduced-order-modeling-and-uncertainty-quantification/ DCSE Fall School November 4-8, 2019, on "Reduced-Order Modeling and Uncertainty Quantification"] November 4th - 8th, 2019; Delft (Netherlands)

* [https://school.pymor.org/ pyMOR School 2019], October 7th - 11th, 2019; Magdeburg (Germany)

* [https://www.enumath2019.eu ENUMATH 2019], September 30th - October 4th, 2019; Egmond aan Zee (Netherlands)
** "[https://www.enumath2019.eu/program/show_slot/30 MS2: Recent Advances in Model Order Reduction]"
** "[https://www.enumath2019.eu/program/show_slot/76 MS14: Reduced Order Models for parametric PDEs: special focus on time-dependent phenomena and time-harmonic wave problems (Part 1)]"
** "[https://www.enumath2019.eu/program/show_slot/87 MS14: Reduced Order Models for parametric PDEs: special focus on time-dependent phenomena and time-harmonic wave problems (Part 2)]"
** "[https://www.enumath2019.eu/program/show_slot/113 MS18: Model order reduction in optimisation, control, and data assimilation (Part 1)]"
** "[https://www.enumath2019.eu/program/show_slot/124 MS18: Model order reduction in optimisation, control, and data assimilation (Part 2)]"
** "[https://www.enumath2019.eu/program/show_slot/6 MS26: New challenges and opportunities for model order reduction (Part 1)]"
** "[https://www.enumath2019.eu/program/show_slot/17 MS26: New challenges and opportunities for model order reduction (Part 2)]"
** "[https://www.enumath2019.eu/program/show_slot/7 MS29: Low-rank modelling in uncertainty quantification (Part 1)]"
** "[https://www.enumath2019.eu/program/show_slot/18 MS29: Low-rank modelling in uncertainty quantification (Part 2)]"
** "[https://www.enumath2019.eu/program/show_slot/8 MS31: Numerical methods for identification and model reduction of nonlinear systems (Part 1)]"
** "[https://www.enumath2019.eu/program/show_slot/19 MS31: Numerical methods for identification and model reduction of nonlinear systems (Part 2)]"
** "[https://www.enumath2019.eu/program/show_slot/151 MS38: Modeling of reduced order submanifolds in non-linear spaces (Part 1)]"
** "[https://www.enumath2019.eu/program/show_slot/162 MS38: Modeling of reduced order submanifolds in non-linear spaces (Part 2)]"
** "[https://www.enumath2019.eu/program/show_slot/121 Computing and Model Order Reduction (Part 1)]"
** "[https://www.enumath2019.eu/program/show_slot/132 Computing and Model Order Reduction (Part 2)]"

* [https://www.win.tue.nl/~hbansal/morss.html Model Order Reduction Summer School - MORSS], September 23rd - 27th, 2019; Eindhoven (Netherlands)

* [https://congress.cimne.com/complas2019/frontal/default.asp International Conference on Computational Plasticity. Fundamentals and Applications.], September 3rd - 5th, 2019; Barcelona (Spain)
** "[https://congress.cimne.com/complas2019/frontal/ProgramPrint.asp?id=WeM1 Model Order Reduction with Emphasis on Non-linear and Multi-scale Problems I]"
** "[https://congress.cimne.com/complas2019/frontal/ProgramPrint.asp?id=WeE1 Model Order Reduction with Emphasis on Non-linear and Multi-scale Problems II]"

* [https://imsc.uni-graz.at/modred2019 4th Workshop on Model Reduction of Complex Dynamical Systems - MODRED], August 28th - 30th, 2019; Graz (Austria)

* [http://15.usnccm.org US National Congress on Computational Mechanics (USNCCM)], July 28th - 1st August, 2019; Austin (USA)
** "[http://15.usnccm.org/208 Data Assimilation in Model Order Reduction Techniques for Computational Mechanics]"
** "[http://15.usnccm.org/1001 Model Order Reduction for Computational Continuum Mechanics]"

* [https://iciam2019.org International Congress on Industrial and Applied Mathematics], July 15th - 19th, 2019; Valencia (Spain)
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20FT-2-4%201 MS FT-2-4 1: New trends in dimensionality reduction of parametrized and stochastic PDEs - Part 1 of 2]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20FT-2-4%202 MS FT-2-4 2: New trends in dimensionality reduction of parametrized and stochastic PDEs - Part 2 of 2]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20GH-3-3%202 MS GH-3-3 2: Model order reduction methods and their broad applications in engineering - Part 1 of 3]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20GH-3-3%203 MS GH-3-3 3: Model order reduction methods and their broad applications in engineering - Part 2 of 3]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20GH-3-3%204 MS GH-3-3 4: Model order reduction methods and their broad applications in engineering - Part 3 of 3]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20A1-1-1%205 MS A1-1-1 5: Advances in reduced order methods for parameter-dependent problems - Part 1 of 1]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20FE-1-3%205 MS FE-1-3 5: Network based model reduction in large-scale simulations, imaging and data-science - Part 1 of 3]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20FE-1-3%206 MS FE-1-3 6: Network based model reduction in large-scale simulations, imaging and data-science - Part 2 of 3]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20FE-1-3%207 MS FE-1-3 7: Network based model reduction in large-scale simulations, imaging and data-science - Part 3 of 3]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20GH-3-3%205 MS GH-3-3 5: Model Reduction and Coupled Problems in Industry Applications - Part 1 of 2]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20GH-3-3%206 MS GH-3-3 6: Model Reduction and Coupled Problems in Industry Applications - Part 2 of 2]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20FE-1-G%207 MS FE-1-G 7: Model-reduction, randomization, and other techniques for large-scale inversion and UQ - Part 1 of 1]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20FT-2-4%207 MS FT-2-4 7: Reduced Order Modeling for Parametric CFD Problems - Part 1 of 4]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20FT-2-4%208 MS FT-2-4 8: Reduced Order Modeling for Parametric CFD Problems - Part 2 of 4]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20FT-2-4%209 MS FT-2-4 9: Reduced Order Modeling for Parametric CFD Problems - Part 3 of 4]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20FT-2-4%2010 MS FT-2-4 10: Reduced Order Modeling for Parametric CFD Problems - Part 4 of 4]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20GH-0-1%207 MS GH-0-1 7: Reduced-order modeling and data-driven estimation in waves and fluids - Part 1 of 2]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20GH-0-1%208 MS GH-0-1 8: Reduced-order modeling and data-driven estimation in waves and fluids - Part 2 of 2]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20FE-1-G%209 MS FE-1-G 9: Recent Advancements in Model Reduction for Stochastic and Nonlinear Systems - Part 1 of 2]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20FE-1-G%2010 MS FE-1-G 10: Recent Advancements in Model Reduction for Stochastic and Nonlinear Systems - Part 2 of 2]"
* [https://indico.sissa.it/event/34/ Summer School on Reduced Order Methods in Computational Fluid Dynamics], July 8th - 12th, 2019; Trieste (Italy)
* [https://2019.compdyn.org 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering - COMPDYN], June 24th - 26th, 2019; Crete (Greece)
** "MS 5: Surrogate and Reduced-Order Modeling for Stochastic Simulation of Physical Systems"
** "MS 6: Uncertainty Computations with Reduced Order Models and Low-Rank Representations"
** "MS 27: Advances in model reduction techniques in computational structural dynamics"
* [http://modelreduction.net/workshops/7th-international-workshop/ 7th International Workshop on Model Reduction in Reactive Flow (IWMRRF)], June 18th - 21st, 2019; Trondheim (Norway)
* [https://isc.tamu.edu/events/Spring2019/ Spring 2019 Model Reduction Workshop] April 29th, 2019; Houston (USA)
* [https://www.dropbox.com/s/yqqnyxufa36tfdf/EECI-IGSC-2019-Model%20Reduction.pdf?dl=0 Model Reduction for Linear and Nonlinear Systems], April 29th - May 3rd, 2019; London (England)
* [http://www.math.sissa.it/course/phd-course/reduced-order-methods-computational-mechanics Reduced Order Methods for Computational Mechanics], April 15th - 18th, 2019; Trieste (Italy)
* [https://cmsa.fas.harvard.edu/machine-learning/ Machine Learning for Multiscale Model Reduction Workshop], March 27th - 29th, 2019; Cambridge (USA)
* [https://www.siam.org/Conferences/CM/Main/cse19 2019 SIAM Conference on Computational Science and Engineering], February 25th - March 1st, 2019; Spokane (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65932 MS10: Model Reduction, Adaptivity, and High Dimensionality in Uncertainty Quantification - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65933 MS44: Model Reduction, Adaptivity, and High Dimensionality in Uncertainty Quantification - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65806 MS14: Emerging Trends for Structure Preserving Model Order Reduction - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65807 MS49: Emerging Trends for Structure Preserving Model Order Reduction - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65793 MS25: Discovering and Exploiting Low-dimensional Structures in Computational Models - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65794 MS60: Discovering and Exploiting Low-dimensional Structures in Computational Models - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=66052 MS93: Nonlinear Reduced Order Modeling of Realistic Engineering Fluid Flows]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65894 MS112: Recent Advances in Model Reduction and Uncertainty Quantification - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65895 MS145: Recent Advances in Model Reduction and Uncertainty Quantification - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65632 MS119: Model Reduction for Problems with Strong Convection, Sharp Gradients, and Discontinuities - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65633 MS153: Model Reduction for Problems with Strong Convection, Sharp Gradients, and Discontinuities - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65903 MS131: Homogenization and Reduced Order Modelling for Wave Equations - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65904 MS165: Homogenization and Reduced Order Modelling for Wave Equations - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=66036 MS188: Reduced Order Modeling for Parametric CFD Problems- Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=66037 MS221: Reduced Order Modeling for Parametric CFD Problems - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65744 MS191: New Challenges and Opportunities for Model Order Reduction - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65745 MS225: New Challenges and Opportunities for Model Order Reduction - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65757 MS243: Reduced Order Models for Fluids: Achievements and Open Problems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65758 MS276: Reduced Order Models for Fluids: Achievements and Open Problems - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65898 MS267: Model Reduction and Reduced-order Modeling of Dynamical Systems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65899 MS301: Model Reduction and Reduced-order Modeling of Dynamical Systems - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=66160 MS308: Data-driven and Mathematical Model Reductions for Combustion System Simulation and Design]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=66143 MS316: Rational Approximation and its Applications]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65578 MS343: Data-augmented Reduced-order Modeling: Operator Learning and Closure/error Modeling - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65579 MS376: Data-augmented Reduced-order Modeling: Operator Learning and Closure/error Modeling - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65662 MS352: Recent Developments in Model Order Reduction Methods - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65663 MS384: Recent Developments in Model Order Reduction Methods - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=66087 MS361: Structure-exploiting Techniques for Approximation, Inference and Control of Complex Systems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=66088 MS393: Structure-exploiting Techniques for Approximation, Inference and Control of Complex Systems - Part II of II]"

=== 2018 ===

* [http://meetings.aps.org/Meeting/DFD18/Content/3571 71st Annual Meeting of the APS Division of Fluid Dynamics], November 18th - 20th, 2018; Atlanta (USA)
** "[http://meetings.aps.org/Meeting/DFD18/Session/A01 Session A01: Nonlinear Dynamics: Model Reduction I]"
** "[http://meetings.aps.org/Meeting/DFD18/Session/F15 Session F15: Flow Control: Coherent Structures and Reduced Order Modeling]"
** "[http://meetings.aps.org/Meeting/DFD18/Session/Q01 Session Q01: Nonlinear Dynamics: Model Reduction II]"

* [https://www.math.uni-hamburg.de/morss2018/ Model Order Reduction Summer School], September 24th - 28th, 2018; Hamburg (Germany)

* [https://alop.uni-trier.de/eucco2018 5th European Conference on Computational Optimization - EUCCO 2018], September 10th - 12th; Trier (Germany)
** "Focus Session: Model order reduction and low-rank approximation for nonlinear problems"

* Minisymposium at [https://sim.mathematik.uni-halle.de/numdiff/Numdiff15/home NumDiff 15], September 3rd - 7th, 2018; Halle (Germany)
** "Model order reduction for dynamical systems"

* [http://597.euromech.org/ Colloquium 597 Reduced Order Modeling in Mechanics of Materials], August 28th - 31st, 2018; Bad Herrenalb (Germany)

* Minisymposia at "[http://www.wccm2018.org/ 13th World Congress in Computational Mechanics]", July 22nd - 27th, 2018; New York (USA)
** "[http://www.wccm2018.org/MS_715 MS715: Reduced Order Methods for Parametric CFD Problems]"
** "[http://www.wccm2018.org/MS_1802 MS1802: Model Reduction, Big Data and Dynamic Data-Driven Systems]"
** "[http://www.wccm2018.org/MS_1804 MS1804: Machine Learning and Reduced-order Models for Complex Systems]"

* Minisymposia at "[http://ecmi.bolyai.hu/ The 20th European Conference on Mathematics for Industry]", June 18th - 22nd, 2018; Budapest (Hungary)
** "MS35: Reduced Order Modelling for Industrial and Scientific Applications"

* Sessions at the [http://www.ecc18.eu/ European Control Conference 2018] June 12th - 15th, 2018; Limassol (Cyprus)
** [https://controls.papercept.net/conferences/conferences/ECC18/program/ECC18_ContentListWeb_4.html#fra3 Model Reduction and Control in Large-Scale Networks]
** [https://controls.papercept.net/conferences/conferences/ECC18/program/ECC18_ContentListWeb_4.html#frb3 Model and Order Reduction I]
** [https://controls.papercept.net/conferences/conferences/ECC18/program/ECC18_ContentListWeb_4.html#frc3 Model and Order Reduction II]

* Minisymposia at "[http://www.eccm-ecfd2018.org ECCM-ECFD 2018]", June 11th - 15th, 2018; Glasgow (Scotland)
** "[http://www.eccm-ecfd2018.org/admin/Files/FileAbstract/a48.pdf MS48: Model reduction, big data and dynamic data-driven systems]"
** "[http://www.eccm-ecfd2018.org/admin/Files/FileAbstract/a126.pdf MS126: Reduced order modeling with error control and adaptivity]"
** "[http://www.eccm-ecfd2018.org/admin/Files/FileAbstract/a130.pdf MS130: Advances in reduced basis techniques for flow problems in analysis, control and optimization]"
** "[http://www.eccm-ecfd2018.org/admin/Files/FileAbstract/a149.pdf MS149: Model order reduction for multiscale problems in geo-engineering]"
** "[http://www.eccm-ecfd2018.org/admin/Files/FileAbstract/a170.pdf MS170: Reduced order modeling for uncertainty quantification in subsurface flow problems]"
** "[http://www.eccm-ecfd2018.org/admin/Files/FileAbstract/a192.pdf MS192: Developments in reduced-order modelling of the cardiovascular system -- methods and applications.]"

* "[http://www.itm.uni-stuttgart.de/iutam2018/ IUTAM Symposium on Model Order Reduction for Coupled Systems (MORCOS18)]" May 22nd - 25th, 2018; Stuttgart (Germany)

* "[https://sites.google.com/view/rom4cvs Workshop on Reduced Models for the Cardiovascular Systems]" April 26th - 27th, 2018; Atlanta (USA)

* Sessions at "[http://www.siam.org/meetings/uq18/ SIAM Conference on Uncertainty Quantification 2018]" April 16th - 20th, 2018; Garden Grove (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=63738 MS5 - Model reduction and fast sampling methods for Bayesian inference - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=63739 MS18 - Model reduction and fast sampling methods for Bayesian inference - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=63731 MS54 - Dimension reduction in Bayesian inference - Part I of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=63732 MS67 - Dimension reduction in Bayesian inference - Part II of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=63733 MS80 - Dimension reduction in Bayesian inference - Part III of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=63754 MS39 - recent advances in model reduction and data-enabled modeling - Part I of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=63755 MS53 - recent advances in model reduction and data-enabled modeling - Part II of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=63756 MS66 - recent advances in model reduction and data-enabled modeling - Part III of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=63821 MS75 - Reduced Order Modeling for Uncertainty Quantification Targeting Exascale Computing Applications]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=63791 MS79 - Reduced-order modeling techniques for large-scale UQ problems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=63792 MS93 - Reduced-order modeling techniques for large-scale UQ problems - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=63817 MS106 - Advances in Reduced Order Modeling for Uncertainty Quantification - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=63818 MS119 - Advances in Reduced Order Modeling for Uncertainty Quantification - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=64390 CP2 - Reduced-order Modeling and Dynamical Systems I]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=64404 CP13 - Reduced-order Modeling and Dynamical Systems II]"
* "[http://morepas2018.sciencesconf.org MoRePaS 2018 - Model Reduction of Parametrized Systems IV]" April 9th - 13th, 2018; Nantes (France)
* "[http://www.newton.ac.uk/event/unqw03 Reducing dimensions and cost for UQ in complex systems]" March 5th - 9th, 2018; Cambridge (UK)
* Minisymposium at [http://www.mathmod.at/ 9th MathMod] February 21st - 23rd, 2018; Vienna (Austria)
** "Model Reduction"
* "[https://sisu.ut.ee/eu_mornet/node/17747 EU-MORNET Workshop]" February 8th - 9th, 2018; Tartu (Estonia)
* "[http://www.jade-hs.de/unsere-hochschule/fachbereiche/ingenieurwissenschaften/forschung-und-praxis/modellierung-und-simulation-mechatronischer-systeme/february-2nd-2018-eu-mornet-workshop-mor-4-mechatronics/ MOR 4 MECHATRONICS]" February 2nd, 2018; Wilhemshaven (Germany

=== 2017 ===

* [http://math.lbl.gov/~mjzahr/wcrw2017/ West Coast ROM Workshop], November 17th, 2017; Berkeley (USA)
* "[http://www.imus.us.es/IWROM4/ MORTech 2017]" November 8th - 10th; Seville (Spain)
* "[http://www.math.rug.nl/gcsc/morschool.html Groningen Autumn School on Model Order Reduction]" October 30th - November 1st, 2017; Groningen (Netherlands)
* Minisymposia at [http://www.uib.no/en/enumath2017 ENUMATH 2017] September 25th - 29th, 2017; Voss (Norway)
** "[http://www.uib.no/en/enumath2017/98144/minisymposia MS10 - Reduced order models for time-dependent problems]"
** "[http://www.uib.no/en/enumath2017/98144/minisymposia MS28 - Model reduction methods for simulation and (optimal) control]"
* "[http://scale-freeback.eu/grenoble-workshop-2017/ Modelling Reduction Tools for Large Scale Complex Networks]" September 21st - 22nd, 2017; Grenoble (France)
* "[http://www.rbss2017.de Reduced Basis (and Friends) Summer School 2017]" September 19th - 22nd, 2017; Goslar (Germany)
* "[http://www.gipsa-lab.fr/summerschool/auto2017/ Approximation of Large-Scale Dynamical Models]" September 11th - 15th, 2017; Grenoble (France)
* "[http://www.rt.mw.tum.de/workshops-seminare/2-mor-doktoranden-workshop/ 2. MOR Doktoranden-Workshop]" September 6th - 8th, 2017; Munich (Germany)
* "[http://www.maths.dur.ac.uk/lms/107/index.html EPSRC Durham Symposium Model Order Reduction]" August 7th - 17th, 2017; Durham (UK)
* "[http://modelreduction.net/workshops/6th-international-workshop 6th International Workshop on Model Reduction in Reacting Flows]" July 11th - 14th, 2017; Princeton (USA)
* "[http://www.siam.org/meetings/dr17/ SIAM Workshop on Parameter Space Dimension Reduction (DR17)]" July 9th - 10th, 2017; Pittsburgh (USA)
* "[https://www.math.vt.edu/GFD_conference2017/ Conference on Classical and Geophysical Fluid Dynamics: Modeling, Reduction and Simulation]" June 26th - 28th, 2017; Blacksburg (USA)
* Session at [http://acc2017.a2c2.org/ American Control Conference] May 24th - 26th, 2017; Seattle (USA)
** "[https://css.paperplaza.net/conferences/scripts/rtf/2017ACC_ContentListWeb_3.html#thc05 Reduced Order Modeling]"
* "[http://eumornetlux.weebly.com/ 2nd Exploratory Workshop on Applications of Model Order Reduction Methods in Industrial Research and Development]" March 10th, 2017; Luxembourg (Luxembourg)
* "[http://www.eu-mor.net/model-reduction-course-hydra/ Model Reduction Course HYDRA]" March 6th - 9th, 2017; Eindhoven (Netherlands)
* Minisymposia at [http://www.siam.org/meetings/cse17/ SIAM CSE'17] February 27th, 2017; Atlanta (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=60778 MS8 - Smooth, Reduced, Sparse -- Exploiting Structures for Surrogate Modeling in CSE - Part I of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=60779 MS37 - Smooth, Reduced, Sparse -- Exploiting Structures for Surrogate Modeling in CSE- Part II of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=60819 MS66 - Smooth, Reduced, Sparse -- Exploiting Structures for Surrogate Modeling in CSE - Part III of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=60968 MS75 - Model Reduction Software: Nonlinear Problems and Data-Driven Solutions]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=61076 MS106 - Reduced Order Models for Fluids: Achievements and Open Problems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=61077 MS133 - Reduced Order Models for Fluids: Achievements and Open Problems - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=61078 MS161 - Reduced Order Models for Fluids: Achievements and Open Problems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=61079 MS188 - Reduced Order Models for Fluids: Achievements and Open Problems - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=60854 MS107 - Model Order Reduction: Perspectives from Junior Researchers - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=61077 MS134 - Model Order Reduction: Perspectives from Junior Researchers - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=61070 MS145 - Reduced Order Modeling Techniques in Large Scale & Data-Driven PDE Problems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=61071 MS172 - Reduced Order Modeling Techniques in Large Scale & Data-Driven PDE Problems - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=60909 MS162 - Model Reduction for Optimal Control Problems: Perspectives from Junior Researchers - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=60910 MS189 - Model Reduction for Optimal Control Problems: Perspectives from Junior Researchers - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=61275 MS313 - Model and Solution Reduction Methods in Computational Mechanics: Challenges and Perspectives]"
* "[http://www.hda2017.unsw.edu.au 7th Workshop on High-Dimensional Approximation]" February 13th - 17th, 2017; Sydney (Australia)
* "[http://matperso.mines-paristech.fr/Personnel/david.ryckelynck Doctoral Workshop on Model Reduction in Nonlinear Mechanics]" February 13th - 17th, 2017; Paris (France)
* "[http://www.mpi-magdeburg.mpg.de/csc/events/modred2017 3rd Workshop on Model Reduction of Complex Dynamical Systems]" January 11th - 13th, 2017; Odense (Denmark)

=== 2016 ===

* "[http://www.komso.org/events/challenge-workshops/reduced-order-modeling-simulation-and-optimization-powerful-algorithms Reduced-Order Modeling for Simulation and Optimization: Powerful Algorithms as Key Enablers for Scientific Computing]" November 17th - 18th; Renningen (Germany)
* Workshop "[http://www.ihp.fr/en/CEB/T3-2016/workshop2 Recent developments in numerical methods for model reduction]" November 7th - 10th, 2016; Paris (France)
* "[http://www.mpi-magdeburg.mpg.de/3104866/RBSS2016 Reduced Basis Summer School 2016]" October 4th - 7th, 2016; Hedersleben (Germany)
* Workshop on "[http://www.eventbrite.it/e/reduced-order-modelling-and-multi-physics-coupling-for-reactor-applications-registration-24511634960 Reduced Order Modelling and Multiphysics Coupling for Rector Application]" September 30th, 2016; Milano (Italy)
* "[http://alop.uni-trier.de/event/alop-workshop-reduced-order-models-in-optimization/ ALOP Workshop: Reduced Order Models in Optimization] September 26th - 28th, 2016; Trier (Germany)
* "[http://www.mathos.unios.hr/index.php/443 Workshop on Model Reduction Methods and Optimization]" September 20th - 21st, 2016; Opatija (Croatia)
* "[http://www.mechbau.uni-stuttgart.de/EMMA/worm2016 3rd International Workshop on Order-Reduction Methods for Mechanics of Materials]" August 29th - 31st, 2016; Bad Herrenalb (Germany)
* Sessions at [http://www.siam.org/meetings/an16/ SIAM Annual Meeting 2016] 11th - 15, 2016; Boston (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=23289 MS32 - Reduced Order Modeling Techniques in Uncertainty Quantification - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=23290 MS46 - Reduced Order Modeling Techniques in Uncertainty Quantification - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=23600 MS70 - Model Reduction and Krylov-Subspace Methods]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=23394 MS71 - Model Reduction for Inverse Problems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=23395 MS87 - Model Reduction for Inverse Problems - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=23453 MS103 - Model Reduction for Wavefield Simulations - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=23454 MS118 - Model Reduction for Wavefield Simulations - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=23099 MS104 - Model Reduction of Parametrized PDEs in Continuum Mechanics - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=23100 MS119 - Model Reduction of Parametrized PDEs in Continuum Mechanics - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=23146 MS137 - Model Reduction of Parametrized PDEs: Application to Optimization and Uncertainty Quantification]"
* Minisymposium "[http://ilas2016.cs.kuleuven.be/minisymposium.php?sid=41 Data-Driven Model Reduction]" at ILAS July 11th - 15th, 2016; Leuven (Belgium)
* Sessions at [http://sites.google.com/a/umn.edu/mtns-2016/ 22nd International Symposium on Mathematical Theory of Networks and Systems], July 11th - 15th, 2016; Minnesota (USA)
** "[http://controls.papercept.net/conferences/conferences/MTNS16/program/MTNS16_ContentListWeb_1.html#tua06 Model Reduction I]"
** "[http://controls.papercept.net/conferences/conferences/MTNS16/program/MTNS16_ContentListWeb_1.html#tub06 Model Reduction II]"
* Session at [http://ecc16.eu European Control conference 2016], June 29th - July 1st, 2016; Aalborg (Denmark)
** "[http://controls.papercept.net/conferences/conferences/ECC16/program/ECC16_ContentListWeb_4.html#fra6 Model Reduction]"
* Seminar "[http://www.aices.rwth-aachen.de/news-events/eu-regional-school/eu-regional-school-2016/courses/heinkenschloss-seminar Model Reduction in PDE Constrained Optimization]" at EU Regional School, June 14th - 15th, 2016; Aachen (Germany)
* Minisymposium "Reduced Basis, POD and PGD Model Order Reduction Techniques" at [http://www.eccomas2016.org ECCOMAS Congress 2016] June 5th - 10th, 2016; Crete Island (Greece)
* Workshop on "[http://www.eu-mor.net/workshop-model-order-reduction-control-inverse-problems-morcip-2016/ Model Order Reduction for Control and Inverse Problems (MORCIP)]" May 19th - 20th, 2016; Lausanne (Switzerland)
* Spring School "[http://www.ercoftac.org/events/ercoftac_montestigliano_spring_school_2016/ Reduced-order models for non-linear dynamics in fluid flows]" May 17th - 23rd, 2016; Siena (Italy)
* Sessions at [http://www.siam.org/meetings/uq16/ SIAM Conference on Uncertainty Quantification] April 5th - 8th, 2016; Lausanne (Switzerland)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=21926 MS13 - Reduced Order Modelling for UQ PDEs Problems: Optimization, Control, Data Assimilation - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=21927 MS28 - Reduced Order Modelling for UQ PDEs Problems: Optimization, Control, Data Assimilation - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=22194 MS89 - Reduced-order Modeling in Uncertainty Quantification - Part I of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=22195 MS104 - Reduced-order Modeling in Uncertainty Quantification - Part II of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=22196 MS119 - Reduced-order Modeling in Uncertainty Quantification - Part III of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=22362 MS149 - Model Reduction in Stochastic Dynamical Systems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=22363 MS164 - Model Reduction in Stochastic Dynamical Systems - Part II of II]"
* Workshop "[http://www.ians.uni-stuttgart.de/agh/misc/events/morml2016/index.html Data-Driven Model Order Reduction and Machine Learning (MORML 2016)]" March 30th - April 1st, 2016; University of Stuttgart (Germany)
* Symposium "[http://www.humboldt-foundation.de/web/gafos-2016-sessions.html Model Reduction for Complex Systems]" at [http://www.humboldt-foundation.de/web/gafos-2016.html 20th German-American Symposium] March 10th - 13th, 2016; Potsdam (Germany)
* "Doctoral Workshop on Model Reduction in nonlinear dynamics of fluids and structures" January 25th - 29th, 2016; Paris (France)

=== 2015 ===

* West Coast ROM Workshop, November 19th, 2015; Livermore (USA)
* [http://sites.google.com/site/mor4mems2015/ MOR 4 MEMS] November 17th - 18th, 2015; Karlsruhe (Germany). [http://www2.mpi-magdeburg.mpg.de/mpcsc/events/MOR4MEMS2015/ Here] you find the presentation slides.
* [http://rom2015.sciencesconf.org Reduced Basis, POD and PGD Model Reduction Techniques] November 4th - 6th, 2015; Cachan (France)
* [http://eumornetlux.weebly.com/ Exploratory Workshop on Applications of Model Order Reduction Methods in Industrial Research and Development] November 6th, 2015; Luxembourg (Luxembourg)
* [http://indico.sissa.it/event/4/ MoRePaS III] October 13th - 16th, 2015; Trieste (Italy)
* [http://www.mathos.unios.hr/index.php/351 3rd International School on Model Reduction for Dynamical Control Systems] October 5th - 10th, 2015; Dubrovnik (Croatia)
* Minisymposium "[http://enumath2015.iam.metu.edu.tr/minisymposia20.html Local and adaptive model reduction for partial differential equations]" at [http://enumath2015.iam.metu.edu.tr ENuMath] September 14th - 18th, 2015; Ankara (Turkey)
* Minisymposium "[http://scicade2015.math.uni-potsdam.de/scicade2015/minisymposiadetails.html#MS34 Parametric Model Order Reduction: Challenges and Solutions]" at [http://scicade2015.math.uni-potsdam.de SciCADE] September 14th - 18th, 2015; Potsdam (Germany)
* [http://www.math.uni-konstanz.de/numerik/pod/rbss_2015/ Reduced Basis Summer School 2015] September 14th - 18th, 2015; Konstanz (Germany)
* [http://www.cs.cas.cz/more2015/index.php Workshop on MOdel REduction] September 6th - 10th, 2015; Pilsen (Czech Republic)
* Session at [http://www.iciam2015.cn 8th International Congresson Industrial and Applied Mathematics] August 10th - 14th, 2015; Beijing (China)
** "[http://www.iciam2015.cn/ICIAM%202015-program.pdf#MS-Mo-D-32.88 MS-Mo-D-32 - Reduced-order modeling in uncertainty quantification and computational fluiddynamics - Part I of III]"
** "[http://www.iciam2015.cn/ICIAM%202015-program.pdf#MS-Mo-E-32.aD MS-Mo-E-32 - Reduced-order modeling in uncertainty quantification and computational fluiddynamics - Part II of III]"
** "[http://www.iciam2015.cn/ICIAM%202015-program.pdf#MS-We-E-03.cC MS-We-E-03 - Reduced-order modeling in uncertainty quantification and computational fluiddynamics - Part III of III]"
** "[http://www.iciam2015.cn/ICIAM%202015-program.pdf#MS-We-E-55.XZ MS-We-E-55 - New advances in model order reduction: methods, algorithms, and applications - Part I of II]"
** "[http://www.iciam2015.cn/ICIAM%202015-program.pdf#MS-Th-BC-55.A6 MS-Th-BC-55 - New advances in model order reduction: methods, algorithms, and applications - Part II of II]"
** "[http://www.iciam2015.cn/ICIAM%202015-program.pdf#MS-Tu-E-14.1F MS-Tu-E-14 - Optimality in reduced order modeling and inversion - Part I of II]"
** "[http://www.iciam2015.cn/ICIAM%202015-program.pdf#MS-We-D-14.l1 MS-We-D-14 - Optimality in reduced order modeling and inversion - Part II of II]"
* Reduced Order Methods Session at [http://www.yic.rwth-aachen.de/ YIC GACM ACCCES] July 20th - 23rd; Aachen (Germany)
* Session at [https://desreg.jku.at/ecc15/ European Control Conference 2015] July 15th -17th, 2015; Linz (Austria)
** "[http://controls.papercept.net/conferences/conferences/ECC15/program/ECC15_ContentListWeb_2.html#wea11 Model Reduction I]"
** "[http://controls.papercept.net/conferences/conferences/ECC15/program/ECC15_ContentListWeb_2.html#wec11 Model Reduction II]"
* [http://modelreduction.net/workshops/5th-annual 5th International Workshop on Model Reduction in Reacting Flows] June 28th - July 1st; Spreewald (Germany)
* [http://www3.math.tu-berlin.de/numerik/MoRTransPhen/ Model Reduction for Transport Dominated Phenomena] May 19th - 20th; Berlin (Germany)
* International Symposium: [http://www.tum-ias.de/bigdata2015/program.html Big Data and Predictive Computational Modelling] May 18th - 21st, 2015; München (Germany)
* Minisymposia at [http://www.siam.org/meetings/cse15 SIAM Conference on Computational Science and Engineering] March 14th - 18th, 2015; Salt Lake City (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=20081 MS4 - Adaptive Model Order Reduction - Part I of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=20082 MS30 - Adaptive Model Order Reduction - Part II of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=20083 MS55 - Adaptive Model Order Reduction - Part III of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=20296 MS91 - Parametric Model Reduction and Inverse Problems - Part I of IV]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=20297 MS116 - Parametric Model Reduction and Inverse Problems - Part II of IV]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=20300 MS143 - Parametric Model Reduction and Inverse Problems - Part III of IV]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=20301 MS169 - Parametric Model Reduction and Inverse Problems - Part IV of IV]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=19988 MS148 - Reduced-order Models for PDE-constrained Optimization Problems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=19989 MS174 - Reduced-order Models for PDE-constrained Optimization Problems - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=19907 MS187 - Recent Advances in Model Reduction - Part I of V]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=19908 MS211 - Recent Advances in Model Reduction - Part II of V]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=19960 MS236 - Recent Advances in Model Reduction - Part III of V]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=19961 MS260 - Recent Advances in Model Reduction - Part IV of V]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=19962 MS285 - Recent Advances in Model Reduction - Part V of V]"
* Session at [http://www.mathmod.at Vienna Conference on Mathematical Modelling (MathMod)] February 18th - 20th, 2015; Vienna (Austria)
** "Model Reduction"
* [http://congress.cimne.com/mor/frontal/objectives.asp Short Course on Model Order Reduction] January 26th - 29th, 2015; Barcelona (Spain)

=== 2014 ===
* [http://www.mfo.de/occasion/1448b/www_view Oberwolfach Seminar on Projection Based Model Reduction] November 23rd - 29th, 2014; Oberwolfach (Germany)
* [http://eu-mor.net EU-MORNET] Kick-Off Meeting September 18th - 19th; Eindhoven (Netherlands)
* [http://www2.le.ac.uk/departments/mathematics/extranet/conferences/model-reduction-across-disciplines Model reduction across disciplines] August 19th - 22nd, 2014; Leicester (United Kingdom)
* [http://wwwmath.uni-muenster.de/rbss2014 Reduced Basis Summer School 2014] August 18th - 22nd, 2014; Muenster (Germany)
* Bay Area ROM Workshop, August 7th, 2014; Livermore (USA)

* Minisymposia at [http://www.wccm-eccm-ecfd2014.org IACM-ECCOMAS 2014] July 20th - 25th, 2014; Barcelona (Spain)
** "[http://congress.cimne.com/iacm-eccomas2014/admin/Files/FileAbstract/a239.pdf MS239: Multibody System Dynamics and Modal Reduction]"
** "[http://congress.cimne.com/iacm-eccomas2014/admin/Files/FileAbstract/a15.pdf MS015: Reduced Basis, POD and PGD Model Reduction Techniques]"
** "[http://congress.cimne.com/iacm-eccomas2014/admin/Files/FileAbstract/a141.pdf MS141: Reduced Order Models in Vibroacoustics]"
** "[http://congress.cimne.com/iacm-eccomas2014/admin/Files/FileAbstract/a69.pdf MS069: Advanced Reduced-order Modeling Strategies for Parametrized PDEs and Applications]"

* Session at [http://www.siam.org/meetings/an14/ SIAM Annual Meeting 2014], July 7th - 11th; Chicago (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=19618 CP1 - Reduced Order Models]"
* Sessions at the [http://ecc14.eu European Control Conference 2014] June 24th- 27th, 2014; Strasbourg (France)
** "[https://controls.papercept.net/conferences/conferences/ECC14/program/ECC14_ContentListWeb_3.html#tha2 Model and Controller Reduction I]"
** "[https://controls.papercept.net/conferences/conferences/ECC14/program/ECC14_ContentListWeb_4.html#frc2 Model and Controller Reduction II]"
* Session at [http://acc2014.a2c2.org/ American Control Conference] June 4th - 6th, 2014; Portland (USA)
** "[https://css.paperplaza.net/conferences/conferences/2014ACC/program/2014ACC_ContentListWeb_1.html#wea04 Reduced Order Modeling]"
* Sessions at [http://siam.org/meetings/uq14/ SIAM Conference on Uncertainty Quantification] March 31st - April 3rd; Savannah (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=18137 MS10 - Model-Reduction Techniques for Quantifying and Controlling Uncertainty]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=18298 MT3 - Reduced Order Methods for Modelling and Computational Reduction in UQ Problems]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=18664 CP11 - Reduced-order Modeling]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=18192 MS67 - Surrogate and Reduced Order Modeling for Statistical Inversion and Prediction - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=18193 MS77 - Surrogate and Reduced Order Modeling for Statistical Inversion and Prediction - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=17858 MS87 - Uncertainty Quantification via Dimension Reduction: Deterministic and Stochastic Approaches]"
* [http://jahrestagung.gamm-ev.de/index.php/scientific-program/minisymposia Parametric Model Reduction of Dynamical Systems] Minisymposium at the [http://jahrestagung.gamm-ev.de/ GAMM annual meeting 2014] March 10th - 14th, 2014; Erlangen (Germany)

===2013===
* [http://www2.mpi-magdeburg.mpg.de/mpcsc/events/ModRed/2013/ ModRed 2013] December 11th - 13th, 2013; Magdeburg (Germany)
* [http://www.mathos.unios.hr/locschool2013/ DAAD International School on Linear Optimal Control of Dynamic Systems] September 23rd - 28th; Osijek (Croatia)
* [http://www.ma.tum.de/IGDK1754/SummerSchool2013 Summerschool "Reduced Basis Methods - Fundamentals and Applications"] September 16th - 19th; Munich (Germany)
* Reduced Basis Summer School 2013 August, 2013; Aachen (Germany)
* [http://enumath2013.epfl.ch Enumath] Minisymposium "Reduced order modelling for the simulation of complex systems" August 26th - 30th, 2013, Lausanne (Switzerland)
* Sessions at the [http://www.ecc13.ethz.ch European control Conference 2013] July 17th - 19th, 2013; Zurich (Switzerland)
** "[https://controls.papercept.net/conferences/conferences/ECC13/program/ECC13_ContentListWeb_4.html#fra12 Reduced Order Systems]"
** "[https://controls.papercept.net/conferences/conferences/ECC13/program/ECC13_ContentListWeb_4.html#frc12 Model Reduction]"
* [http://modelreduction.net/workshops/4th-annual 4th International Workshop on Model Reduction in Reacting Flows] June 19th - 21st, 2013, San Francisco (USA)
* Sessions at [http://acc2013.a2c2.org American Control Conference] June 17th - 19th, 2013; Washington D.C. (USA)
** "[https://css.paperplaza.net/conferences/conferences/2013ACC/program/2013ACC_ContentListWeb_3.html#web05 Reduced-Order Modeling]"
* [http://modredcirm2013.uni-muenster.de/ CIRM workshop Model Reduction and Approximation for Complex Systems] June 10th - 14th, 2013; Marseille (France)
* [http://www.tapir.caltech.edu/~rom-gr/ Reduced Order Modelling in General Relativity] June 6th - 7th, 2013; Pasadena (USA)
* Sessions at the [http://www.siam.org/meetings/cse13 SIAM Conference on Computational Science and Engineering] February 25th - March 1st; Boston (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15551 MS20 - Structure-preserving Model Order Reduction of Large-scale Dynamical Systems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15552 MS40 - Structure-preserving Model Order Reduction of Large-scale Dynamical Systems - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15728 MS14 - Model Reduction and Surrogate Modeling Advances in Porous Media Flow Simulation and Optimization - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15729 MS34 - Model Reduction and Surrogate Modeling Advances in Porous Media Flow Simulation and Optimization - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15547 MS104 - Data-Driven Model Reduction - Part I of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15548 MS138 - Data-Driven Model Reduction - Part II of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15549 MS194 - Data-Driven Model Reduction - Part III of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15676 MS144 - Nonlinear Model Reduction of Complex Flows: Modeling, Analysis, and Computations - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15677 MS182 - Nonlinear Model Reduction of Complex Flows: Modeling, Analysis, and Computations - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15639 MS45 - Data Driven and Nonliner Model Reduction - Parts I of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15640 MS68 - Data Driven and Nonliner Model Reduction - Parts II of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15641 MS116 - Data Driven and Nonliner Model Reduction - Parts III of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15422 MS95 - Reduced Order Modelling for Complex Systems in CFD - Part I of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15423 MS164 - Reduced Order Modelling for Complex Systems in CFD - Part II of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15424 MS244 - Reduced Order Modelling for Complex Systems in CFD - Part III of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15758 MS219 - Model Order Reduction: Recent Advances and Challenges - Part I of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15759 MS257 - Model Order Reduction: Recent Advances and Challenges - Part II of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15760 MS272 - Model Order Reduction: Recent Advances and Challenges - Part III of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15952 CP12 - Model Reduction and Data-Driven Approaches]"

===2012===
* [http://www.morepas.org/workshop2012/index.html MoRePaS 2] October 2nd - 5th, 2012; Günzburg (Germany)
* [http://www.mathematik.uni-stuttgart.de/fak8/ians/lehrstuhl/agh/misc/events/rbm_workshop_2012.html Reduced Basis Summer School 2012] August 28th - 31st; Stuttgart (Germany)
* [http://www.math.uni-hamburg.de/moa/ Workshop on Adaptivity and Model Order Reduction in PDE Constrained Optimization] July 23rd - 27th; Hamburg (Germany)
* Sessions at [http://acc2012.a2c2.org/ American Control Conference] June 27th - 29th, 2012; Montreal (Canada)
** "[https://css.paperplaza.net/conferences/conferences/2012ACC/program/2012ACC_ContentListWeb_1.html#wec20 Reduced Order Modeling]"
* [https://www.cecam.org/workshop-2-681.html Reduced Basis, POD and Reduced Order Methods for model and computational reduction: towards real-time computing and visualization?] May 14 - 16th; Lausanne (Switzerland)
* [https://www2.mpi-magdeburg.mpg.de/mpcsc/news/program_tegernsee.pdf Workshop on Nonlinear MOR] May 6th - 9th; Tegernsee (Germany)
* Minisymposia at [http://siam.org/meetings/uq12/ SIAM Conference on Uncertaity Quantification] April 2nd - 6th; Raleigh (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=14305 MS58 - Model Reduction for Nonlinear Dynamical Systems]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=14520 MS80 - Reduced Order Modeling for High Dimensional Nonlinear Models]"

===2011===
* [http://www.math.uni-konstanz.de/numerik/pod/workshop Advances in POD and RB Model-Order Reduction] November 21st, 2011; Konstanz (Germany)
* [http://www.uni-ulm.de/mawi/mawi-numerik/aktuelles/summer-school-rbm.html Reduced Basis Summer School 2011] October 25th - 28th; Ulm (Germany)
* [http://www2.mpi-magdeburg.mpg.de/mpcsc/events/trogir/ Summer School on Numerical Linear Algebra for Dynamical and High-Dimensional Problems] October 10th - 15th; Trogir (Croatia)
* [http://www.math.uni-bremen.de/zetem/cms/detail.php?template=gamm_parse_title&person=gamm11/program GAMM Workshop Applied and Numerical Linear Algebra with Special Emphasis on Model Reduction] September 21st - 22nd; Bremen (Germany)
* Sessions at [http://iciam.org/event/iciam-2011-%E2%80%93-vancouver 7th International Congress on Industrial and Applied Mathematics] July 18th - 22nd; Vancouver (Canada)
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=11230 MS38 - Optimal Parameter Sampling in Model Reduction - Part I of III]"
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=11231 MS87 - Optimal Parameter Sampling in Model Reduction - Part II of III]"
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=11232 MS136 - Optimal Parameter Sampling in Model Reduction - Part III of III]"
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=11296 MS148 - Structure-Preserving Model Reduction - Part I of III]"
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=11297 MS199 - Structure-Preserving Model Reduction - Part II of III]"
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=11298 MS256 - Structure-Preserving Model Reduction - Part III of III]"
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=11452 MS340 - Dynamical Systems Approaches to Model Reduction -- Part I of II]"
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=12051 MS388 - Dynamical Systems Approaches to Model Reduction -- Part II of II]"
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=11877 MS363 - Reduced Basis Methods and their Applications - Part I of IV]"
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=11878 MS416 - Reduced Basis Methods and their Applications - Part II of IV]"
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=11879 MS462 - Reduced Basis Methods and their Applications - Part III of IV]"
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=11880 MS511 - Reduced Basis Methods and their Applications - Part IV of IV]"
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=13350 CP36 - Reduced Order Models]"
* [http://www.modelreduction.net/iwmrrf2011/site/ 3rd International Workshop on Model Reduction in Reacting Flows] April 27th - 29th; Corfu (Greece)
* Session at the [http://siam.org/meetings/cse11 SIAM Conference on Computational Science and Engineering] February 28th - March 4th; Reno (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=10982 MS18 - Model Reduction of Nonlinear and Parametrized Systems - Part I of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=10983 MS26 - Model Reduction of Nonlinear and Parametrized Systems - Part II of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=10984 MS40 - Model Reduction of Nonlinear and Parametrized Systems - Part III of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=11497 MS39 - Model Order Reduction Using Graph Theory and Numerical Linear Algebra]"
* [http://www.wias-berlin.de/workshops/MOR2011/ Workshop on Model Order Reduction in Optimization and Control with PDEs] January 26th - 28th; Berlin (Germany)

===2010===
* [http://www.ians.uni-stuttgart.de/MoRePaS/events/Ulm10/index.html Workshop on RB Methods] December 7th - 8th, 2010; Ulm (Germany)
* [http://www3.math.tu-berlin.de/modred2010/ ModRed 2010] December 2nd - 4th, 2010; Berlin (Germany)
* Sessions at [http://www.siam.org/meetings/an10/ SIAM Annual Meeting 2010], July 12th - 16th, 2010; Pittsburgh (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=10125 MS2 - Advances in Model Reduction for Large-Scale Problems - Part I of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=10126 MS38 - Advances in Model Reduction for Large-Scale Problems - Part II of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=10127 MS51 - Advances in Model Reduction for Large-Scale Problems - Part III of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=10202 MS33 - Reduced Order Models for Dynamical Systems]"
* Minisymposium "[http://www.eccomas-cfd2010.org/minisymposia.php Model Order Reduction of Complex Systems in CFD]" at [http://www.eccomas-cfd2010.org ECCOMAS CFD]; June 14th - 17th, 2010; Lisbon (Portugal)

===2009===
* Sessions at [https://archive.siam.org/meetings/la09/index.php SIAM Conference on Applied Linear Algebra] October 26 th 29th, 2009; Monterey Bay-Seaside (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=8992 MS14 - Model Order Reduction for Dynamical Systems - Part I of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=8993 MS20 - Model Order Reduction for Dynamical Systems - Part II of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=8994 MS32 - Model Order Reduction for Dynamical Systems - Part III of III]"
* [http://www.win.tue.nl/casa/meetings/special/mor09/ Autumn School on Future Developments in Model Order Reduction] September 21st - 25th, 2009; Terschelling (Netherlands)
* [http://www.uni-muenster.de/CeNoS/ocs/index.php/MRP/MRP09/ MoRePaS] September 16th - 18th, 2009; Münster (Germany)
* Session at [http://www.siam.org/meetings/an09/ SIAM Annual Meeting 2009] July 6th - 10th, 2009; Denver (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=8863 CP20 - Model Reduction]"
* [http://modelreduction.net/iwmrrf2009/ 2nd International Workshop on Model Reduction in Reacting Flows] March 30th - April 1st, 2009 Notre Dame (USA)
* [http://www.cl.eps.manchester.ac.uk/medialand/maths/archived-events/workshops/www.mims.manchester.ac.uk/events/workshops/HSMoR09/ CICADA Workshop on Hybrid Systems and Model Reduction] March 19th - 20th, 2009 Manchester (England)
* Sessions at the [http://siam.org/meetings/cse09 SIAM Conference on Computational Science and Engineering] March 2nd - 6th, 2009; Miami (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=8306 CP12 - Model Reduction]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=7918 MS106 - Model Reduction - Part I of V]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=7919 MS119 - Model Reduction - Part II of V]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=7920 MS127 - Model Reduction - Part III of V]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=7921 MS141 - Model Reduction - Part IV of V]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=7922 MS151 - Model Reduction - Part V of V]"

===2008===

* [https://www.math.uni-hamburg.de/spag/zms/syrene/ Model Reduction for Circuit Simulation] October 30th - 31st, 2008; Hamburg (Germany)
* Session at [http://acc2008.a2c2.org/ American Control Conference] June 11th - 13th, 2008; Seattle (USA)
** "[https://css.paperplaza.net/conferences/conferences/2008ACC/program/2008ACC_ContentListWeb_3.html#fra11 Model Reduction]"

===2007===
* [http://www.win.tue.nl/casa/meetings/special/mor07/ Symposium on Recent Advances in Model Order Reduction] November 23rd, 2007; Eindhoven (Netherlands)
* [http://modelreduction.net/ModelReductionWorkshop/Home%20Page.html 1st International Workshop on Model Reduction in Reacting Flows] September 3rd - 5th, 2007; Rome (Italy)
* Sessions at [http://iciam.org/event/iciam-2007-%E2%80%93-zurich 6th International Congress for Industrial and Applied Mathematics] July 16th - 20th, 2007; Zurich (Switzerland)
** "[http://iciamold.jsiam.org/iciam2007/ICIAM07-ProgramBook.pdf#IC/MP/002/S/346 Model reduction: theory, methodology and software #1]"
** "[http://iciamold.jsiam.org/iciam2007/ICIAM07-ProgramBook.pdf#IC/MP/002/S/346-2 Model reduction: theory, methodology and software #2]"
** "[http://iciamold.jsiam.org/iciam2007/iciam07_programbook.pdf#IC/MP/020/S/347 Model reduction: structured and higher-order systems #1]"
** "[http://iciamold.jsiam.org/iciam2007/iciam07_programbook.pdf#IC/MP/020/S/347-2 Model reduction: structured and higher-order systems #2]"
** "[http://iciamold.jsiam.org/iciam2007/iciam07_programbook.pdf#IC/MP/020/P/348 Model reduction in circuit simulation #1]"
** "[http://iciamold.jsiam.org/iciam2007/ICIAM07-ProgramBook.pdf#IC/MP/020/P/348-2 Model reduction in circuit simulation #2]"
* Session at [http://acc2007.a2c2.org/ American Control Conference] July 11th - 13th, 2007; New York (USA)
** "[https://css.paperplaza.net/conferences/conferences/2007ACC/program/2007ACC_ContentListWeb_1.html#web07 Reduced Order Modeling]"
* Sessions at [https://archive.siam.org/meetings/ct07/index.php SIAM Conference on Control and its Application] June 29th - July 1st, 2007; San Francisco (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=6338 MS16 - Model Reduction for Control and Dynamical Systems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=6339 MS21 - Model Reduction for Control and Dynamical Systems - Part II of II]"
* Sessions at [http://siam.org/meetings/cse07 SIAM Conference on Computational Science and Engineering] February 19th - 23rd, 2007; Costa Mesa (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=5955 MS36 - Model Order Reduction and Automated Behavioural Modeling - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=6029 MS48 - Model Order Reduction and Automated Behavioural Modeling - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=6137 CP12 - Reduced Order Modelling]"

===2006===
* Session "Model Reduction" at [http://www.eurosime.org/b06.htm EuroSimE 2006] April 24th - 26th, 2006; Como (Italy)

* Minisymposia at [http://www.siam.org/meetings/an06/index.php SIAM Annual Meeting 2006] July 10th - 14th, 2006; Boston (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=5357 MS13 - Model Reduction of Dynamical Systems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=5358 MS31 - Model Reduction of Dynamical Systems - Part II of II]"

===2005===
* [http://www.lorentzcenter.nl/lc/web/2005/160/info.php3?wsid=160. Model order reduction, coupled problems and optimization] September 19th - 23rd, 2005; Leiden (Netherlands)

* Minisymposia at [http://www.siam.org/meetings/an05/index.htm SIAM Annual Conference 2005] July 11th - 15th, 2005; New Orleans (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=4372 MS43 - Model Reduction for Large Scale Dynamical Systems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=4373 MS55 - Model Reduction for Large Scale Dynamical Systems - Part II of II]"

===2004===
* [https://www.birs.ca/events/2004/5-day-workshops/04w5513 Model Reduction Problems and Matrix Methods] April 3rd - 8th; Banff (Canada)

===2003===
* [http://web.archive.org/web/20070612131401/http://www.math.tu-berlin.de/numerik/mt/NumMat/Meetings/0310_MFO/ Dimensional Reduction of Large-Scale Systems] October 19th - 25th, 2003 Oberwolfach (Germany)

===2001===
* [https://research.tue.nl/en/activities/macsi-workshop-on-model-reduction MACSI workshop on Model Reduction] October 8th - 9th, 2001; Eindhoven (Netherlands)
* Minisymposium at [http://user.it.uu.se/~icosahom/ International Conference On Spectral and High Order Methods] June 11th - 15th, 2001; Uppsala (Sweden)
** "Reduced-Basis Methods for Partial Differential Equations"

===2000===
* Session at the [https://archive.siam.org/meetings/cse00/ First SIAM Conference on Computational Science and Engineering] September 21st - 24th, 2000; Washington D.C. (USA)
** "[https://archive.siam.org/meetings/cse00/cp25.htm CP25 - Model Reduction, Validation and Data Assimilation]"

===1999===
* Minisymposia at the [http://iciam.org/event/iciam-1999-%E2%80%93-edinburgh 4th International Council for Industrial and Applied Mathematics Congress] July 5th - 9th, 1999; Edinburgh (Scotland)
** "[http://www.macs.hw.ac.uk/archive/iciam99/PrintedProgramme/BookOfAbstracts.pdf#page=171 MSP-187 Reduced-Order Modeling of Large-Scale Systems and Applications in Industry]"
** "[http://www.macs.hw.ac.uk/archive/iciam99/PrintedProgramme/BookOfAbstracts.pdf#page=187 MSP-205,206 Methods of Dimension Reduction]"

MOR Wiki:Current events

2023-10-12T21:03:40Z

Himpe: Add MORe2024

[[Category:Miscellaneous]]

== MOR Wiki Users Meetings ==

* The first general assembly of MOR Wiki users took place on December 10th - 2013, at the [http://mpim.iwww.mpg.de/research/groups/csc MPI in Magdeburg] (Germany).

* The second MOR Wiki meeting took place on April 23rd - 2015, at the [http://mpim.iwww.mpg.de/research/groups/csc MPI in Magdeburg] (Germany).

* The third MOR Wiki meeting took place on January 11th - 2017, during the [http://www.mpi-magdeburg.mpg.de/csc/events/modred2017 ModRed in Odense] (Denmark).

== Upcoming Workhops and Conferences ==

* [https://mortech2023.sciencesconf.org/ MORTech 2023 – 6th International Workshop on Model Reduction Techniques], November 22 - 24, 2023; Paris-Saclay (France)

* [https://more2024.sciencesconf.org/ MORe2024 - Model Reduction and Surrogate Modeling], September 9 - 13, 2024; La Jolla, California (United States)

== Past Events ==

=== 2023 ===

* [https://ims.nus.edu.sg/events/international-workshop-on-reduced-order-methods/ International Workshop on Reduced Order Methods], May 22nd - 26th, 2023; Singapore (Singapore)

* [https://personal.math.vt.edu/borggajt/nlromc/index.html Nonlinear Model Reduction for Control], May 22nd - 26th, 2023; Blacksburg (USA).

=== 2022 ===

* [https://alop.uni-trier.de/event/autumn-school-on-model-reduction-and-model-predictive-control-with-differential-equations/ Model Reduction and Model Predictive Control with Differential Equations], October 4th - 7th, 2022; Trier (Germany)

* [https://more.sciencesconf.org/ Model Reduction and Surrogate Modeling (MORE)], September 19th - 23rd, 2022; Berlin (Germany)

* [https://www.mathmod.at/ 10th Vienna International Conference on Mathematical Modelling], July 27th – 29th, 2022;Vienna (Austria)
** [https://ifac.papercept.net/conferences/conferences/MAMO21/program/MAMO21_ContentListWeb_2.html#wed3 Model Reduction]
** [https://ifac.papercept.net/conferences/conferences/MAMO21/program/MAMO21_ContentListWeb_2.html#wed1 Recent Advances in Model Reduction and Surrogate Modeling I of IV]
** [https://ifac.papercept.net/conferences/conferences/MAMO21/program/MAMO21_ContentListWeb_2.html#wee1 Recent Advances in Model Reduction and Surrogate Modeling II of IV]
** [https://ifac.papercept.net/conferences/conferences/MAMO21/program/MAMO21_ContentListWeb_2.html#thb1 Recent Advances in Model Reduction and Surrogate Modeling III of IV]
** [https://ifac.papercept.net/conferences/conferences/MAMO21/program/MAMO21_ContentListWeb_2.html#thd1 Recent Advances in Model Reduction and Surrogate Modeling IV of IV]

* [https://www.uni-muenster.de/MathematicsMuenster/events/2022/YMCN-model-order-reduction.shtml#Schedule Young Mathematicians in Model Order Reduction (YMMOR)], July 18th - 22th, 2022; Münster (Germany)

* [https://dcn.nat.fau.eu/events/mini-workshop-model-reduction-and-control/ Mini-Workshop "Model Reduction and Control"] May 24th, 2022; (ONLINE)

* [https://www.siam.org/conferences/cm/conference/uq22 SIAM Conference on Uncertainty Quantification], April 12th -15th, 2022; Atlanta (USA)
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=73287 MS4: Nonlinear Model Reduction Methods for Random or Parametric Time Dependent Problems - Part I of III]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=73288 MS32: Nonlinear Model Reduction Methods for Random or Parametric Time Dependent Problems - Part II of III]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=73289 MS76: Nonlinear Model Reduction Methods for Random or Parametric Time Dependent Problems - Part III of III]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=73521 MS154: Reduced Order Modelling for Forward and Inverse UQ - Part I of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=73537 MS168: Reduced Order Modelling for Forward and Inverse UQ - Part II of II]

=== 2021 ===

* [https://indico.sissa.it/event/43/ RAMSES: Reduced order models; Approximation theory; Machine learning; Surrogates, Emulators and Simulators], December 14th - 17th, 2021; Trieste (Italy)

* [https://www.romsoc.eu/wim-2021/ Workshop in Industrial Mathematics (WIM2021) with the Reduced-Order Modeling, Simulation and Optimization of Coupled Systems], October 20th - 22nd; Catania (Italy)

* [https://www.icms.org.uk/events/event/?id=1178 New Developments in Reduced Order Modelling], October 15th; '''ONLINE'''

* [https://mmldt.eng.ucsd.edu/home MMLDT-CSET - Mechanistic Machine Learning and Digital Twins for Computational Science, Engineering & Technology 2021], September 26th - 29th, 2021; San Diego (USA)
** [https://docs.google.com/spreadsheets/d/1GosdHfvpskcnnR56u29ZRNfBWC4kg0hR/edit#gid=83060610&range=A1 MS 4-7: Physics-Informed Data-based Model Reduction]
** [https://docs.google.com/spreadsheets/d/1GosdHfvpskcnnR56u29ZRNfBWC4kg0hR/edit#gid=1626075110&range=A1 MS 4-8: Model Reduction and Machine Learning for Fluids and Fluid-Structure Interactions]
** [https://docs.google.com/spreadsheets/d/1GosdHfvpskcnnR56u29ZRNfBWC4kg0hR/edit#gid=618092903&range=A1 MS 4-9: Advances in Reduced Order Modeling of Solids and Fluids and Porous Media]
** [https://docs.google.com/spreadsheets/d/1GosdHfvpskcnnR56u29ZRNfBWC4kg0hR/edit#gid=378364206&range=A1 MS 4-10: Model Reduction of Dynamical Systems with Deep Learning]
** [https://docs.google.com/spreadsheets/d/1GosdHfvpskcnnR56u29ZRNfBWC4kg0hR/edit#gid=667740&range=A1 MS 5-1: Advances in Machine Learning and Model Reduction for Inversion in Geophysical and Geological Applications]

* [http://smai.emath.fr/cemracs/cemracs21/ CEMRACS 2021 - Data Assimilation and Reduced Modeling for High Dimensional Problems], July 19th - August 27th, 2021; Luminy (France)

* [http://16.usnccm.org US National Congress on Computational Mechanics (USNCCM)], July 25th - 29th, 2021; Chicago (USA)
** "[http://16.usnccm.org/MS_311 MS311: Model Order Reduction for Physical Simulations]"

* [https://www.siam.org/conferences/cm/conference/an21 SIAM Annual Meeting], July 19th - 23rd, 2021; '''ONLINE'''
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=71670 MS62: Advances in Uncertainty Quantification with Model Order Reduction Methods I]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=71671 MS88: Advances in Uncertainty Quantification with Model Order Reduction Methods II]

* [https://www.siam.org/conferences/cm/conference/ct21 SIAM Conference on Control and Its Applications], July 19th - 21st, 2021; '''ONLINE'''
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=71167 MS1: Model Reduction for Control of High-Dimensional Nonlinear Systems I]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=71168 MS9: Model Reduction for Control of High-Dimensional Nonlinear Systems II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=71169 MS17: Model Reduction for Control of High-Dimensional Nonlinear Systems III]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=72048 MS26: Data-Driven Methods in Model Reduction and Control I]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=72049 MS34: Data-Driven Methods in Model Reduction and Control II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=72050 MS42: Data-Driven Methods in Model Reduction and Control III]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=71716 MS25: Model Reduction of Complex Dynamical Systems and its Applications I]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=71717 MS33: Model Reduction of Complex Dynamical Systems and its Applications II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=71718 MS41: Model Reduction of Complex Dynamical Systems and its Applications III]

* [https://www.siam.org/conferences/cm/conference/cse21 SIAM Conference on Computational Science and Engineering (CSE21)], March 1st - 5th, 2021; Fort Worth (USA)
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=70067 MS8: Data Driven Reduced Order Models: Structure, Networks and Imaging - Part I of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69881 MS26: Reduced Order Methods for Parametric CFD Problems - Part I of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69861 MS27: Reduced Order Model Stabilizations and Closures - Part I of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69824 MS31: Structure-Preserving Model Order Reduction for Large-Scale Systems - Part I of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69862 MS60: Reduced Order Model Stabilizations and Closures - Part II of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69943 MS74: Dimensionality Reduction and Reduced-Order Models for the Boltzmann Transport Equation]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=70068 MS98: Data Driven Reduced Order Models: Structure, Networks and Imaging - Part II of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69882 MS111: Reduced Order Methods for Parametric CFD Problems - Part II of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69928 MS113: Reduced-Order Modeling and Analysis of Turbulence - Part I of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69825 MS119: Structure-Preserving Model Order Reduction for Large-Scale Systems - Part II of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69929 MS147: Reduced-Order Modeling and Analysis of Turbulence - Part II of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=70145 MS172: Model Order Reduction for Large-Scale Problems - Part I of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=70146 MS234: Model Order Reduction for Large-Scale Problems - Part II of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=70123 MS309: Data-Driven Modeling and Model Reduction: Honoring 70th Birthday of Thanos Antoulas - Part I of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69938 MS319: Model Order Reduction for Complex Systems - Part I of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69816 MS324: Recent Advances in Model Order Reduction for Advection-Dominated Simulations - Part I of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69764 MS326: Recent Developments in Nonlinear Model Reduction Methods - Part I of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=70124 MS340: Data-Driven Modeling and Model Reduction: Honoring 70th Birthday of Thanos Antoulas - Part II of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69939 MS350: Model Order Reduction for Complex Systems - Part II of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69819 MS355: Recent Advances in Model Order Reduction for Advection-Dominated Simulations - Part II of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69765 MS357: Recent Developments in Nonlinear Model Reduction Methods - Part II of II]

* [https://www.wccm-eccomas2020.org 14th WWCM and ECCOMAS Congress 2020], January 11th - 15th, 2021; Paris (France)
** "[https://www.wccm-eccomas2020.org/admin/Files/FileAbstract/a93.pdf MS93: Reduced Order and Surrogate Modeling for Uncertainty Analysis in Structural Mechanics]"
** "[https://www.wccm-eccomas2020.org/admin/Files/FileAbstract/a139.pdf MS139: Advances in Intrusive and Non-Intrusive Order Reduction Techniques for Flow Analysis, Control and Optimization]"
** "[https://www.wccm-eccomas2020.org/admin/Files/FileAbstract/a152.pdf MS152: Model Order Reduction Methods for Parametrized Mechanical Systems]"
** "[https://www.wccm-eccomas2020.org/admin/Files/FileAbstract/a170.pdf MS170: Numerical Model Reduction and Data-Driven Surrogates for Multi-Physics Applications]"
** "[https://www.wccm-eccomas2020.org/admin/Files/FileAbstract/a179.pdf MS179: Numerical Techniques for the Simulations and Model Reduction of Complex Physical Systems]"
** "[https://www.wccm-eccomas2020.org/admin/Files/FileAbstract/a204.pdf MS204: Analysing Parameterised Reduced Order Models]"
** "[https://www.wccm-eccomas2020.org/admin/Files/FileAbstract/a371.pdf MS371: Model Order Reduction for Vibroacoustic Problems]"
** "[https://www.wccm-eccomas2020.org/admin/Files/FileAbstract/a415.pdf MS415: Model Order Reduction for Nonlinear (Time, Space, Parameter) Multiscale Problems and Applications]"
** "[https://www.wccm-eccomas2020.org/admin/Files/FileAbstract/a458.pdf MS458: Coupled Multiphysics Problems and Reduced Order Methods Applied to Compute Digital Twin Models in Industrial Applications]"

=== 2020 ===

* [https://www.mfo.de/occasion/2045a/www_view Banach Center – Oberwolfach Graduate Seminar: Model Reduction and Approximation: Projection-, Tensor- and Data-based Methods], November 1st - 7th, 2020; Bedlewo (Poland) ('''CANCELLED''')

* [https://www.tu-chemnitz.de/mathematik/dmv2020/index.php DMV Annual Meeting], September 14th - 18th, 2020; ('''VIRTUAL''')
** "[https://www.tu-chemnitz.de/mathematik/dmv2020/minisymp.php Model Order Reduction]"

* [https://morss2020.epfl.ch Model Order Reduction Summer School]; September 7th - 10th, 2020; ('''VIRTUAL''')

* [https://www.mpi-magdeburg.mpg.de/csc/events/samm20 SAMM20 - Learning Models from Data: Model Reduction, System Identification and Machine Learning], July 27th - 31st, 2020; ('''VIRTUAL''')

* [https://www.siam.org/conferences/cm/conference/an20 2nd Joint SIAM/CAIMS Annual Meeting], July 6th - 17th, 2020; ('''VIRTUAL''')
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=68897 MS4: Projection-Based Model Order Reduction for Partial Differential Equations - Part I of II]"
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=68898 MS7: Projection-Based Model Order Reduction for Partial Differential Equations - Part II of II]"

* [https://icerm.brown.edu/programs/sp-s20/ Model and dimension reduction in uncertain and dynamic systems], January 27th - May 1st, 2020; Providence (USA)
** [https://icerm.brown.edu/programs/sp-s20/w1/ Mathematics of Reduced Order Models], February 17th - 21st
** [https://icerm.brown.edu/programs/sp-s20/w2/ Algorithms for Dimension and Complexity Reduction], March 23rd - 27th ('''VIRTUAL''')
** [https://icerm.brown.edu/programs/sp-s20/w3/ Computational Statistics and Data-Driven Models], April 20th - 24th ('''VIRTUAL''')

* [https://siam-uq20.ma.tum.de SIAM Conference on Uncertainty Quantification (UQ20)], March 24th - 27th, 2020; Munich (Germany) ('''CANCELLED''')
** "[https://www.events.tum.de/frontend/index.php?page_id=3712&v=List&do=15&day=490&ses=1625# CT20: ROM and Surrogate Models]"
** "[https://www.events.tum.de/frontend/index.php?page_id=3712&v=List&do=15&day=489&ses=1723# MS311: Dynamical low rank and reduced basis methods for random or parametric time dependent problems (Part I of II) ]"
** "[https://www.events.tum.de/frontend/index.php?page_id=3712&v=List&do=15&day=489&ses=1724# MS312: Dynamical low rank and reduced basis methods for random or parametric time dependent problems (Part II of II)]"
** "[https://www.events.tum.de/frontend/index.php?page_id=3712&v=List&do=15&day=490&ses=1717# MS331: Recent Advances in Reduced-Order Models for Many Query and Time-Critical Problems]"
** "[https://www.events.tum.de/frontend/index.php?page_id=3712&v=List&do=15&day=491&ses=1774# MS351: Reduced order methods for uncertainty quantification in CFD parametric problems]"

=== 2019 ===

* [https://mortech2019.sciencesconf.org/ MORTech - 5th International Workshop on Reduced Basis, POD or PGD-Based Model Reduction Technique], November 20th - 22nd, 2019; Paris (France)

* [https://www.tudelft.nl/en/events/2019/dcse/dcse-fall-school-november-4-8-2019-on-reduced-order-modeling-and-uncertainty-quantification/ DCSE Fall School November 4-8, 2019, on "Reduced-Order Modeling and Uncertainty Quantification"] November 4th - 8th, 2019; Delft (Netherlands)

* [https://school.pymor.org/ pyMOR School 2019], October 7th - 11th, 2019; Magdeburg (Germany)

* [https://www.enumath2019.eu ENUMATH 2019], September 30th - October 4th, 2019; Egmond aan Zee (Netherlands)
** "[https://www.enumath2019.eu/program/show_slot/30 MS2: Recent Advances in Model Order Reduction]"
** "[https://www.enumath2019.eu/program/show_slot/76 MS14: Reduced Order Models for parametric PDEs: special focus on time-dependent phenomena and time-harmonic wave problems (Part 1)]"
** "[https://www.enumath2019.eu/program/show_slot/87 MS14: Reduced Order Models for parametric PDEs: special focus on time-dependent phenomena and time-harmonic wave problems (Part 2)]"
** "[https://www.enumath2019.eu/program/show_slot/113 MS18: Model order reduction in optimisation, control, and data assimilation (Part 1)]"
** "[https://www.enumath2019.eu/program/show_slot/124 MS18: Model order reduction in optimisation, control, and data assimilation (Part 2)]"
** "[https://www.enumath2019.eu/program/show_slot/6 MS26: New challenges and opportunities for model order reduction (Part 1)]"
** "[https://www.enumath2019.eu/program/show_slot/17 MS26: New challenges and opportunities for model order reduction (Part 2)]"
** "[https://www.enumath2019.eu/program/show_slot/7 MS29: Low-rank modelling in uncertainty quantification (Part 1)]"
** "[https://www.enumath2019.eu/program/show_slot/18 MS29: Low-rank modelling in uncertainty quantification (Part 2)]"
** "[https://www.enumath2019.eu/program/show_slot/8 MS31: Numerical methods for identification and model reduction of nonlinear systems (Part 1)]"
** "[https://www.enumath2019.eu/program/show_slot/19 MS31: Numerical methods for identification and model reduction of nonlinear systems (Part 2)]"
** "[https://www.enumath2019.eu/program/show_slot/151 MS38: Modeling of reduced order submanifolds in non-linear spaces (Part 1)]"
** "[https://www.enumath2019.eu/program/show_slot/162 MS38: Modeling of reduced order submanifolds in non-linear spaces (Part 2)]"
** "[https://www.enumath2019.eu/program/show_slot/121 Computing and Model Order Reduction (Part 1)]"
** "[https://www.enumath2019.eu/program/show_slot/132 Computing and Model Order Reduction (Part 2)]"

* [https://www.win.tue.nl/~hbansal/morss.html Model Order Reduction Summer School - MORSS], September 23rd - 27th, 2019; Eindhoven (Netherlands)

* [https://congress.cimne.com/complas2019/frontal/default.asp International Conference on Computational Plasticity. Fundamentals and Applications.], September 3rd - 5th, 2019; Barcelona (Spain)
** "[https://congress.cimne.com/complas2019/frontal/ProgramPrint.asp?id=WeM1 Model Order Reduction with Emphasis on Non-linear and Multi-scale Problems I]"
** "[https://congress.cimne.com/complas2019/frontal/ProgramPrint.asp?id=WeE1 Model Order Reduction with Emphasis on Non-linear and Multi-scale Problems II]"

* [https://imsc.uni-graz.at/modred2019 4th Workshop on Model Reduction of Complex Dynamical Systems - MODRED], August 28th - 30th, 2019; Graz (Austria)

* [http://15.usnccm.org US National Congress on Computational Mechanics (USNCCM)], July 28th - 1st August, 2019; Austin (USA)
** "[http://15.usnccm.org/208 Data Assimilation in Model Order Reduction Techniques for Computational Mechanics]"
** "[http://15.usnccm.org/1001 Model Order Reduction for Computational Continuum Mechanics]"

* [https://iciam2019.org International Congress on Industrial and Applied Mathematics], July 15th - 19th, 2019; Valencia (Spain)
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20FT-2-4%201 MS FT-2-4 1: New trends in dimensionality reduction of parametrized and stochastic PDEs - Part 1 of 2]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20FT-2-4%202 MS FT-2-4 2: New trends in dimensionality reduction of parametrized and stochastic PDEs - Part 2 of 2]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20GH-3-3%202 MS GH-3-3 2: Model order reduction methods and their broad applications in engineering - Part 1 of 3]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20GH-3-3%203 MS GH-3-3 3: Model order reduction methods and their broad applications in engineering - Part 2 of 3]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20GH-3-3%204 MS GH-3-3 4: Model order reduction methods and their broad applications in engineering - Part 3 of 3]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20A1-1-1%205 MS A1-1-1 5: Advances in reduced order methods for parameter-dependent problems - Part 1 of 1]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20FE-1-3%205 MS FE-1-3 5: Network based model reduction in large-scale simulations, imaging and data-science - Part 1 of 3]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20FE-1-3%206 MS FE-1-3 6: Network based model reduction in large-scale simulations, imaging and data-science - Part 2 of 3]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20FE-1-3%207 MS FE-1-3 7: Network based model reduction in large-scale simulations, imaging and data-science - Part 3 of 3]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20GH-3-3%205 MS GH-3-3 5: Model Reduction and Coupled Problems in Industry Applications - Part 1 of 2]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20GH-3-3%206 MS GH-3-3 6: Model Reduction and Coupled Problems in Industry Applications - Part 2 of 2]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20FE-1-G%207 MS FE-1-G 7: Model-reduction, randomization, and other techniques for large-scale inversion and UQ - Part 1 of 1]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20FT-2-4%207 MS FT-2-4 7: Reduced Order Modeling for Parametric CFD Problems - Part 1 of 4]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20FT-2-4%208 MS FT-2-4 8: Reduced Order Modeling for Parametric CFD Problems - Part 2 of 4]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20FT-2-4%209 MS FT-2-4 9: Reduced Order Modeling for Parametric CFD Problems - Part 3 of 4]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20FT-2-4%2010 MS FT-2-4 10: Reduced Order Modeling for Parametric CFD Problems - Part 4 of 4]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20GH-0-1%207 MS GH-0-1 7: Reduced-order modeling and data-driven estimation in waves and fluids - Part 1 of 2]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20GH-0-1%208 MS GH-0-1 8: Reduced-order modeling and data-driven estimation in waves and fluids - Part 2 of 2]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20FE-1-G%209 MS FE-1-G 9: Recent Advancements in Model Reduction for Stochastic and Nonlinear Systems - Part 1 of 2]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20FE-1-G%2010 MS FE-1-G 10: Recent Advancements in Model Reduction for Stochastic and Nonlinear Systems - Part 2 of 2]"
* [https://indico.sissa.it/event/34/ Summer School on Reduced Order Methods in Computational Fluid Dynamics], July 8th - 12th, 2019; Trieste (Italy)
* [https://2019.compdyn.org 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering - COMPDYN], June 24th - 26th, 2019; Crete (Greece)
** "MS 5: Surrogate and Reduced-Order Modeling for Stochastic Simulation of Physical Systems"
** "MS 6: Uncertainty Computations with Reduced Order Models and Low-Rank Representations"
** "MS 27: Advances in model reduction techniques in computational structural dynamics"
* [http://modelreduction.net/workshops/7th-international-workshop/ 7th International Workshop on Model Reduction in Reactive Flow (IWMRRF)], June 18th - 21st, 2019; Trondheim (Norway)
* [https://isc.tamu.edu/events/Spring2019/ Spring 2019 Model Reduction Workshop] April 29th, 2019; Houston (USA)
* [https://www.dropbox.com/s/yqqnyxufa36tfdf/EECI-IGSC-2019-Model%20Reduction.pdf?dl=0 Model Reduction for Linear and Nonlinear Systems], April 29th - May 3rd, 2019; London (England)
* [http://www.math.sissa.it/course/phd-course/reduced-order-methods-computational-mechanics Reduced Order Methods for Computational Mechanics], April 15th - 18th, 2019; Trieste (Italy)
* [https://cmsa.fas.harvard.edu/machine-learning/ Machine Learning for Multiscale Model Reduction Workshop], March 27th - 29th, 2019; Cambridge (USA)
* [https://www.siam.org/Conferences/CM/Main/cse19 2019 SIAM Conference on Computational Science and Engineering], February 25th - March 1st, 2019; Spokane (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65932 MS10: Model Reduction, Adaptivity, and High Dimensionality in Uncertainty Quantification - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65933 MS44: Model Reduction, Adaptivity, and High Dimensionality in Uncertainty Quantification - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65806 MS14: Emerging Trends for Structure Preserving Model Order Reduction - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65807 MS49: Emerging Trends for Structure Preserving Model Order Reduction - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65793 MS25: Discovering and Exploiting Low-dimensional Structures in Computational Models - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65794 MS60: Discovering and Exploiting Low-dimensional Structures in Computational Models - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=66052 MS93: Nonlinear Reduced Order Modeling of Realistic Engineering Fluid Flows]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65894 MS112: Recent Advances in Model Reduction and Uncertainty Quantification - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65895 MS145: Recent Advances in Model Reduction and Uncertainty Quantification - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65632 MS119: Model Reduction for Problems with Strong Convection, Sharp Gradients, and Discontinuities - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65633 MS153: Model Reduction for Problems with Strong Convection, Sharp Gradients, and Discontinuities - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65903 MS131: Homogenization and Reduced Order Modelling for Wave Equations - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65904 MS165: Homogenization and Reduced Order Modelling for Wave Equations - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=66036 MS188: Reduced Order Modeling for Parametric CFD Problems- Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=66037 MS221: Reduced Order Modeling for Parametric CFD Problems - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65744 MS191: New Challenges and Opportunities for Model Order Reduction - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65745 MS225: New Challenges and Opportunities for Model Order Reduction - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65757 MS243: Reduced Order Models for Fluids: Achievements and Open Problems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65758 MS276: Reduced Order Models for Fluids: Achievements and Open Problems - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65898 MS267: Model Reduction and Reduced-order Modeling of Dynamical Systems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65899 MS301: Model Reduction and Reduced-order Modeling of Dynamical Systems - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=66160 MS308: Data-driven and Mathematical Model Reductions for Combustion System Simulation and Design]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=66143 MS316: Rational Approximation and its Applications]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65578 MS343: Data-augmented Reduced-order Modeling: Operator Learning and Closure/error Modeling - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65579 MS376: Data-augmented Reduced-order Modeling: Operator Learning and Closure/error Modeling - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65662 MS352: Recent Developments in Model Order Reduction Methods - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65663 MS384: Recent Developments in Model Order Reduction Methods - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=66087 MS361: Structure-exploiting Techniques for Approximation, Inference and Control of Complex Systems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=66088 MS393: Structure-exploiting Techniques for Approximation, Inference and Control of Complex Systems - Part II of II]"

=== 2018 ===

* [http://meetings.aps.org/Meeting/DFD18/Content/3571 71st Annual Meeting of the APS Division of Fluid Dynamics], November 18th - 20th, 2018; Atlanta (USA)
** "[http://meetings.aps.org/Meeting/DFD18/Session/A01 Session A01: Nonlinear Dynamics: Model Reduction I]"
** "[http://meetings.aps.org/Meeting/DFD18/Session/F15 Session F15: Flow Control: Coherent Structures and Reduced Order Modeling]"
** "[http://meetings.aps.org/Meeting/DFD18/Session/Q01 Session Q01: Nonlinear Dynamics: Model Reduction II]"

* [https://www.math.uni-hamburg.de/morss2018/ Model Order Reduction Summer School], September 24th - 28th, 2018; Hamburg (Germany)

* [https://alop.uni-trier.de/eucco2018 5th European Conference on Computational Optimization - EUCCO 2018], September 10th - 12th; Trier (Germany)
** "Focus Session: Model order reduction and low-rank approximation for nonlinear problems"

* Minisymposium at [https://sim.mathematik.uni-halle.de/numdiff/Numdiff15/home NumDiff 15], September 3rd - 7th, 2018; Halle (Germany)
** "Model order reduction for dynamical systems"

* [http://597.euromech.org/ Colloquium 597 Reduced Order Modeling in Mechanics of Materials], August 28th - 31st, 2018; Bad Herrenalb (Germany)

* Minisymposia at "[http://www.wccm2018.org/ 13th World Congress in Computational Mechanics]", July 22nd - 27th, 2018; New York (USA)
** "[http://www.wccm2018.org/MS_715 MS715: Reduced Order Methods for Parametric CFD Problems]"
** "[http://www.wccm2018.org/MS_1802 MS1802: Model Reduction, Big Data and Dynamic Data-Driven Systems]"
** "[http://www.wccm2018.org/MS_1804 MS1804: Machine Learning and Reduced-order Models for Complex Systems]"

* Minisymposia at "[http://ecmi.bolyai.hu/ The 20th European Conference on Mathematics for Industry]", June 18th - 22nd, 2018; Budapest (Hungary)
** "MS35: Reduced Order Modelling for Industrial and Scientific Applications"

* Sessions at the [http://www.ecc18.eu/ European Control Conference 2018] June 12th - 15th, 2018; Limassol (Cyprus)
** [https://controls.papercept.net/conferences/conferences/ECC18/program/ECC18_ContentListWeb_4.html#fra3 Model Reduction and Control in Large-Scale Networks]
** [https://controls.papercept.net/conferences/conferences/ECC18/program/ECC18_ContentListWeb_4.html#frb3 Model and Order Reduction I]
** [https://controls.papercept.net/conferences/conferences/ECC18/program/ECC18_ContentListWeb_4.html#frc3 Model and Order Reduction II]

* Minisymposia at "[http://www.eccm-ecfd2018.org ECCM-ECFD 2018]", June 11th - 15th, 2018; Glasgow (Scotland)
** "[http://www.eccm-ecfd2018.org/admin/Files/FileAbstract/a48.pdf MS48: Model reduction, big data and dynamic data-driven systems]"
** "[http://www.eccm-ecfd2018.org/admin/Files/FileAbstract/a126.pdf MS126: Reduced order modeling with error control and adaptivity]"
** "[http://www.eccm-ecfd2018.org/admin/Files/FileAbstract/a130.pdf MS130: Advances in reduced basis techniques for flow problems in analysis, control and optimization]"
** "[http://www.eccm-ecfd2018.org/admin/Files/FileAbstract/a149.pdf MS149: Model order reduction for multiscale problems in geo-engineering]"
** "[http://www.eccm-ecfd2018.org/admin/Files/FileAbstract/a170.pdf MS170: Reduced order modeling for uncertainty quantification in subsurface flow problems]"
** "[http://www.eccm-ecfd2018.org/admin/Files/FileAbstract/a192.pdf MS192: Developments in reduced-order modelling of the cardiovascular system -- methods and applications.]"

* "[http://www.itm.uni-stuttgart.de/iutam2018/ IUTAM Symposium on Model Order Reduction for Coupled Systems (MORCOS18)]" May 22nd - 25th, 2018; Stuttgart (Germany)

* "[https://sites.google.com/view/rom4cvs Workshop on Reduced Models for the Cardiovascular Systems]" April 26th - 27th, 2018; Atlanta (USA)

* Sessions at "[http://www.siam.org/meetings/uq18/ SIAM Conference on Uncertainty Quantification 2018]" April 16th - 20th, 2018; Garden Grove (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=63738 MS5 - Model reduction and fast sampling methods for Bayesian inference - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=63739 MS18 - Model reduction and fast sampling methods for Bayesian inference - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=63731 MS54 - Dimension reduction in Bayesian inference - Part I of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=63732 MS67 - Dimension reduction in Bayesian inference - Part II of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=63733 MS80 - Dimension reduction in Bayesian inference - Part III of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=63754 MS39 - recent advances in model reduction and data-enabled modeling - Part I of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=63755 MS53 - recent advances in model reduction and data-enabled modeling - Part II of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=63756 MS66 - recent advances in model reduction and data-enabled modeling - Part III of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=63821 MS75 - Reduced Order Modeling for Uncertainty Quantification Targeting Exascale Computing Applications]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=63791 MS79 - Reduced-order modeling techniques for large-scale UQ problems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=63792 MS93 - Reduced-order modeling techniques for large-scale UQ problems - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=63817 MS106 - Advances in Reduced Order Modeling for Uncertainty Quantification - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=63818 MS119 - Advances in Reduced Order Modeling for Uncertainty Quantification - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=64390 CP2 - Reduced-order Modeling and Dynamical Systems I]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=64404 CP13 - Reduced-order Modeling and Dynamical Systems II]"
* "[http://morepas2018.sciencesconf.org MoRePaS 2018 - Model Reduction of Parametrized Systems IV]" April 9th - 13th, 2018; Nantes (France)
* "[http://www.newton.ac.uk/event/unqw03 Reducing dimensions and cost for UQ in complex systems]" March 5th - 9th, 2018; Cambridge (UK)
* Minisymposium at [http://www.mathmod.at/ 9th MathMod] February 21st - 23rd, 2018; Vienna (Austria)
** "Model Reduction"
* "[https://sisu.ut.ee/eu_mornet/node/17747 EU-MORNET Workshop]" February 8th - 9th, 2018; Tartu (Estonia)
* "[http://www.jade-hs.de/unsere-hochschule/fachbereiche/ingenieurwissenschaften/forschung-und-praxis/modellierung-und-simulation-mechatronischer-systeme/february-2nd-2018-eu-mornet-workshop-mor-4-mechatronics/ MOR 4 MECHATRONICS]" February 2nd, 2018; Wilhemshaven (Germany

=== 2017 ===

* [http://math.lbl.gov/~mjzahr/wcrw2017/ West Coast ROM Workshop], November 17th, 2017; Berkeley (USA)
* "[http://www.imus.us.es/IWROM4/ MORTech 2017]" November 8th - 10th; Seville (Spain)
* "[http://www.math.rug.nl/gcsc/morschool.html Groningen Autumn School on Model Order Reduction]" October 30th - November 1st, 2017; Groningen (Netherlands)
* Minisymposia at [http://www.uib.no/en/enumath2017 ENUMATH 2017] September 25th - 29th, 2017; Voss (Norway)
** "[http://www.uib.no/en/enumath2017/98144/minisymposia MS10 - Reduced order models for time-dependent problems]"
** "[http://www.uib.no/en/enumath2017/98144/minisymposia MS28 - Model reduction methods for simulation and (optimal) control]"
* "[http://scale-freeback.eu/grenoble-workshop-2017/ Modelling Reduction Tools for Large Scale Complex Networks]" September 21st - 22nd, 2017; Grenoble (France)
* "[http://www.rbss2017.de Reduced Basis (and Friends) Summer School 2017]" September 19th - 22nd, 2017; Goslar (Germany)
* "[http://www.gipsa-lab.fr/summerschool/auto2017/ Approximation of Large-Scale Dynamical Models]" September 11th - 15th, 2017; Grenoble (France)
* "[http://www.rt.mw.tum.de/workshops-seminare/2-mor-doktoranden-workshop/ 2. MOR Doktoranden-Workshop]" September 6th - 8th, 2017; Munich (Germany)
* "[http://www.maths.dur.ac.uk/lms/107/index.html EPSRC Durham Symposium Model Order Reduction]" August 7th - 17th, 2017; Durham (UK)
* "[http://modelreduction.net/workshops/6th-international-workshop 6th International Workshop on Model Reduction in Reacting Flows]" July 11th - 14th, 2017; Princeton (USA)
* "[http://www.siam.org/meetings/dr17/ SIAM Workshop on Parameter Space Dimension Reduction (DR17)]" July 9th - 10th, 2017; Pittsburgh (USA)
* "[https://www.math.vt.edu/GFD_conference2017/ Conference on Classical and Geophysical Fluid Dynamics: Modeling, Reduction and Simulation]" June 26th - 28th, 2017; Blacksburg (USA)
* Session at [http://acc2017.a2c2.org/ American Control Conference] May 24th - 26th, 2017; Seattle (USA)
** "[https://css.paperplaza.net/conferences/scripts/rtf/2017ACC_ContentListWeb_3.html#thc05 Reduced Order Modeling]"
* "[http://eumornetlux.weebly.com/ 2nd Exploratory Workshop on Applications of Model Order Reduction Methods in Industrial Research and Development]" March 10th, 2017; Luxembourg (Luxembourg)
* "[http://www.eu-mor.net/model-reduction-course-hydra/ Model Reduction Course HYDRA]" March 6th - 9th, 2017; Eindhoven (Netherlands)
* Minisymposia at [http://www.siam.org/meetings/cse17/ SIAM CSE'17] February 27th, 2017; Atlanta (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=60778 MS8 - Smooth, Reduced, Sparse -- Exploiting Structures for Surrogate Modeling in CSE - Part I of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=60779 MS37 - Smooth, Reduced, Sparse -- Exploiting Structures for Surrogate Modeling in CSE- Part II of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=60819 MS66 - Smooth, Reduced, Sparse -- Exploiting Structures for Surrogate Modeling in CSE - Part III of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=60968 MS75 - Model Reduction Software: Nonlinear Problems and Data-Driven Solutions]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=61076 MS106 - Reduced Order Models for Fluids: Achievements and Open Problems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=61077 MS133 - Reduced Order Models for Fluids: Achievements and Open Problems - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=61078 MS161 - Reduced Order Models for Fluids: Achievements and Open Problems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=61079 MS188 - Reduced Order Models for Fluids: Achievements and Open Problems - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=60854 MS107 - Model Order Reduction: Perspectives from Junior Researchers - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=61077 MS134 - Model Order Reduction: Perspectives from Junior Researchers - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=61070 MS145 - Reduced Order Modeling Techniques in Large Scale & Data-Driven PDE Problems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=61071 MS172 - Reduced Order Modeling Techniques in Large Scale & Data-Driven PDE Problems - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=60909 MS162 - Model Reduction for Optimal Control Problems: Perspectives from Junior Researchers - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=60910 MS189 - Model Reduction for Optimal Control Problems: Perspectives from Junior Researchers - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=61275 MS313 - Model and Solution Reduction Methods in Computational Mechanics: Challenges and Perspectives]"
* "[http://www.hda2017.unsw.edu.au 7th Workshop on High-Dimensional Approximation]" February 13th - 17th, 2017; Sydney (Australia)
* "[http://matperso.mines-paristech.fr/Personnel/david.ryckelynck Doctoral Workshop on Model Reduction in Nonlinear Mechanics]" February 13th - 17th, 2017; Paris (France)
* "[http://www.mpi-magdeburg.mpg.de/csc/events/modred2017 3rd Workshop on Model Reduction of Complex Dynamical Systems]" January 11th - 13th, 2017; Odense (Denmark)

=== 2016 ===

* "[http://www.komso.org/events/challenge-workshops/reduced-order-modeling-simulation-and-optimization-powerful-algorithms Reduced-Order Modeling for Simulation and Optimization: Powerful Algorithms as Key Enablers for Scientific Computing]" November 17th - 18th; Renningen (Germany)
* Workshop "[http://www.ihp.fr/en/CEB/T3-2016/workshop2 Recent developments in numerical methods for model reduction]" November 7th - 10th, 2016; Paris (France)
* "[http://www.mpi-magdeburg.mpg.de/3104866/RBSS2016 Reduced Basis Summer School 2016]" October 4th - 7th, 2016; Hedersleben (Germany)
* Workshop on "[http://www.eventbrite.it/e/reduced-order-modelling-and-multi-physics-coupling-for-reactor-applications-registration-24511634960 Reduced Order Modelling and Multiphysics Coupling for Rector Application]" September 30th, 2016; Milano (Italy)
* "[http://alop.uni-trier.de/event/alop-workshop-reduced-order-models-in-optimization/ ALOP Workshop: Reduced Order Models in Optimization] September 26th - 28th, 2016; Trier (Germany)
* "[http://www.mathos.unios.hr/index.php/443 Workshop on Model Reduction Methods and Optimization]" September 20th - 21st, 2016; Opatija (Croatia)
* "[http://www.mechbau.uni-stuttgart.de/EMMA/worm2016 3rd International Workshop on Order-Reduction Methods for Mechanics of Materials]" August 29th - 31st, 2016; Bad Herrenalb (Germany)
* Sessions at [http://www.siam.org/meetings/an16/ SIAM Annual Meeting 2016] 11th - 15, 2016; Boston (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=23289 MS32 - Reduced Order Modeling Techniques in Uncertainty Quantification - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=23290 MS46 - Reduced Order Modeling Techniques in Uncertainty Quantification - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=23600 MS70 - Model Reduction and Krylov-Subspace Methods]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=23394 MS71 - Model Reduction for Inverse Problems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=23395 MS87 - Model Reduction for Inverse Problems - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=23453 MS103 - Model Reduction for Wavefield Simulations - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=23454 MS118 - Model Reduction for Wavefield Simulations - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=23099 MS104 - Model Reduction of Parametrized PDEs in Continuum Mechanics - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=23100 MS119 - Model Reduction of Parametrized PDEs in Continuum Mechanics - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=23146 MS137 - Model Reduction of Parametrized PDEs: Application to Optimization and Uncertainty Quantification]"
* Minisymposium "[http://ilas2016.cs.kuleuven.be/minisymposium.php?sid=41 Data-Driven Model Reduction]" at ILAS July 11th - 15th, 2016; Leuven (Belgium)
* Sessions at [http://sites.google.com/a/umn.edu/mtns-2016/ 22nd International Symposium on Mathematical Theory of Networks and Systems], July 11th - 15th, 2016; Minnesota (USA)
** "[http://controls.papercept.net/conferences/conferences/MTNS16/program/MTNS16_ContentListWeb_1.html#tua06 Model Reduction I]"
** "[http://controls.papercept.net/conferences/conferences/MTNS16/program/MTNS16_ContentListWeb_1.html#tub06 Model Reduction II]"
* Session at [http://ecc16.eu European Control conference 2016], June 29th - July 1st, 2016; Aalborg (Denmark)
** "[http://controls.papercept.net/conferences/conferences/ECC16/program/ECC16_ContentListWeb_4.html#fra6 Model Reduction]"
* Seminar "[http://www.aices.rwth-aachen.de/news-events/eu-regional-school/eu-regional-school-2016/courses/heinkenschloss-seminar Model Reduction in PDE Constrained Optimization]" at EU Regional School, June 14th - 15th, 2016; Aachen (Germany)
* Minisymposium "Reduced Basis, POD and PGD Model Order Reduction Techniques" at [http://www.eccomas2016.org ECCOMAS Congress 2016] June 5th - 10th, 2016; Crete Island (Greece)
* Workshop on "[http://www.eu-mor.net/workshop-model-order-reduction-control-inverse-problems-morcip-2016/ Model Order Reduction for Control and Inverse Problems (MORCIP)]" May 19th - 20th, 2016; Lausanne (Switzerland)
* Spring School "[http://www.ercoftac.org/events/ercoftac_montestigliano_spring_school_2016/ Reduced-order models for non-linear dynamics in fluid flows]" May 17th - 23rd, 2016; Siena (Italy)
* Sessions at [http://www.siam.org/meetings/uq16/ SIAM Conference on Uncertainty Quantification] April 5th - 8th, 2016; Lausanne (Switzerland)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=21926 MS13 - Reduced Order Modelling for UQ PDEs Problems: Optimization, Control, Data Assimilation - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=21927 MS28 - Reduced Order Modelling for UQ PDEs Problems: Optimization, Control, Data Assimilation - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=22194 MS89 - Reduced-order Modeling in Uncertainty Quantification - Part I of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=22195 MS104 - Reduced-order Modeling in Uncertainty Quantification - Part II of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=22196 MS119 - Reduced-order Modeling in Uncertainty Quantification - Part III of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=22362 MS149 - Model Reduction in Stochastic Dynamical Systems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=22363 MS164 - Model Reduction in Stochastic Dynamical Systems - Part II of II]"
* Workshop "[http://www.ians.uni-stuttgart.de/agh/misc/events/morml2016/index.html Data-Driven Model Order Reduction and Machine Learning (MORML 2016)]" March 30th - April 1st, 2016; University of Stuttgart (Germany)
* Symposium "[http://www.humboldt-foundation.de/web/gafos-2016-sessions.html Model Reduction for Complex Systems]" at [http://www.humboldt-foundation.de/web/gafos-2016.html 20th German-American Symposium] March 10th - 13th, 2016; Potsdam (Germany)
* "Doctoral Workshop on Model Reduction in nonlinear dynamics of fluids and structures" January 25th - 29th, 2016; Paris (France)

=== 2015 ===

* West Coast ROM Workshop, November 19th, 2015; Livermore (USA)
* [http://sites.google.com/site/mor4mems2015/ MOR 4 MEMS] November 17th - 18th, 2015; Karlsruhe (Germany). [http://www2.mpi-magdeburg.mpg.de/mpcsc/events/MOR4MEMS2015/ Here] you find the presentation slides.
* [http://rom2015.sciencesconf.org Reduced Basis, POD and PGD Model Reduction Techniques] November 4th - 6th, 2015; Cachan (France)
* [http://eumornetlux.weebly.com/ Exploratory Workshop on Applications of Model Order Reduction Methods in Industrial Research and Development] November 6th, 2015; Luxembourg (Luxembourg)
* [http://indico.sissa.it/event/4/ MoRePaS III] October 13th - 16th, 2015; Trieste (Italy)
* [http://www.mathos.unios.hr/index.php/351 3rd International School on Model Reduction for Dynamical Control Systems] October 5th - 10th, 2015; Dubrovnik (Croatia)
* Minisymposium "[http://enumath2015.iam.metu.edu.tr/minisymposia20.html Local and adaptive model reduction for partial differential equations]" at [http://enumath2015.iam.metu.edu.tr ENuMath] September 14th - 18th, 2015; Ankara (Turkey)
* Minisymposium "[http://scicade2015.math.uni-potsdam.de/scicade2015/minisymposiadetails.html#MS34 Parametric Model Order Reduction: Challenges and Solutions]" at [http://scicade2015.math.uni-potsdam.de SciCADE] September 14th - 18th, 2015; Potsdam (Germany)
* [http://www.math.uni-konstanz.de/numerik/pod/rbss_2015/ Reduced Basis Summer School 2015] September 14th - 18th, 2015; Konstanz (Germany)
* [http://www.cs.cas.cz/more2015/index.php Workshop on MOdel REduction] September 6th - 10th, 2015; Pilsen (Czech Republic)
* Session at [http://www.iciam2015.cn 8th International Congresson Industrial and Applied Mathematics] August 10th - 14th, 2015; Beijing (China)
** "[http://www.iciam2015.cn/ICIAM%202015-program.pdf#MS-Mo-D-32.88 MS-Mo-D-32 - Reduced-order modeling in uncertainty quantification and computational fluiddynamics - Part I of III]"
** "[http://www.iciam2015.cn/ICIAM%202015-program.pdf#MS-Mo-E-32.aD MS-Mo-E-32 - Reduced-order modeling in uncertainty quantification and computational fluiddynamics - Part II of III]"
** "[http://www.iciam2015.cn/ICIAM%202015-program.pdf#MS-We-E-03.cC MS-We-E-03 - Reduced-order modeling in uncertainty quantification and computational fluiddynamics - Part III of III]"
** "[http://www.iciam2015.cn/ICIAM%202015-program.pdf#MS-We-E-55.XZ MS-We-E-55 - New advances in model order reduction: methods, algorithms, and applications - Part I of II]"
** "[http://www.iciam2015.cn/ICIAM%202015-program.pdf#MS-Th-BC-55.A6 MS-Th-BC-55 - New advances in model order reduction: methods, algorithms, and applications - Part II of II]"
** "[http://www.iciam2015.cn/ICIAM%202015-program.pdf#MS-Tu-E-14.1F MS-Tu-E-14 - Optimality in reduced order modeling and inversion - Part I of II]"
** "[http://www.iciam2015.cn/ICIAM%202015-program.pdf#MS-We-D-14.l1 MS-We-D-14 - Optimality in reduced order modeling and inversion - Part II of II]"
* Reduced Order Methods Session at [http://www.yic.rwth-aachen.de/ YIC GACM ACCCES] July 20th - 23rd; Aachen (Germany)
* Session at [https://desreg.jku.at/ecc15/ European Control Conference 2015] July 15th -17th, 2015; Linz (Austria)
** "[http://controls.papercept.net/conferences/conferences/ECC15/program/ECC15_ContentListWeb_2.html#wea11 Model Reduction I]"
** "[http://controls.papercept.net/conferences/conferences/ECC15/program/ECC15_ContentListWeb_2.html#wec11 Model Reduction II]"
* [http://modelreduction.net/workshops/5th-annual 5th International Workshop on Model Reduction in Reacting Flows] June 28th - July 1st; Spreewald (Germany)
* [http://www3.math.tu-berlin.de/numerik/MoRTransPhen/ Model Reduction for Transport Dominated Phenomena] May 19th - 20th; Berlin (Germany)
* International Symposium: [http://www.tum-ias.de/bigdata2015/program.html Big Data and Predictive Computational Modelling] May 18th - 21st, 2015; München (Germany)
* Minisymposia at [http://www.siam.org/meetings/cse15 SIAM Conference on Computational Science and Engineering] March 14th - 18th, 2015; Salt Lake City (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=20081 MS4 - Adaptive Model Order Reduction - Part I of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=20082 MS30 - Adaptive Model Order Reduction - Part II of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=20083 MS55 - Adaptive Model Order Reduction - Part III of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=20296 MS91 - Parametric Model Reduction and Inverse Problems - Part I of IV]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=20297 MS116 - Parametric Model Reduction and Inverse Problems - Part II of IV]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=20300 MS143 - Parametric Model Reduction and Inverse Problems - Part III of IV]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=20301 MS169 - Parametric Model Reduction and Inverse Problems - Part IV of IV]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=19988 MS148 - Reduced-order Models for PDE-constrained Optimization Problems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=19989 MS174 - Reduced-order Models for PDE-constrained Optimization Problems - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=19907 MS187 - Recent Advances in Model Reduction - Part I of V]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=19908 MS211 - Recent Advances in Model Reduction - Part II of V]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=19960 MS236 - Recent Advances in Model Reduction - Part III of V]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=19961 MS260 - Recent Advances in Model Reduction - Part IV of V]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=19962 MS285 - Recent Advances in Model Reduction - Part V of V]"
* Session at [http://www.mathmod.at Vienna Conference on Mathematical Modelling (MathMod)] February 18th - 20th, 2015; Vienna (Austria)
** "Model Reduction"
* [http://congress.cimne.com/mor/frontal/objectives.asp Short Course on Model Order Reduction] January 26th - 29th, 2015; Barcelona (Spain)

=== 2014 ===
* [http://www.mfo.de/occasion/1448b/www_view Oberwolfach Seminar on Projection Based Model Reduction] November 23rd - 29th, 2014; Oberwolfach (Germany)
* [http://eu-mor.net EU-MORNET] Kick-Off Meeting September 18th - 19th; Eindhoven (Netherlands)
* [http://www2.le.ac.uk/departments/mathematics/extranet/conferences/model-reduction-across-disciplines Model reduction across disciplines] August 19th - 22nd, 2014; Leicester (United Kingdom)
* [http://wwwmath.uni-muenster.de/rbss2014 Reduced Basis Summer School 2014] August 18th - 22nd, 2014; Muenster (Germany)
* Bay Area ROM Workshop, August 7th, 2014; Livermore (USA)

* Minisymposia at [http://www.wccm-eccm-ecfd2014.org IACM-ECCOMAS 2014] July 20th - 25th, 2014; Barcelona (Spain)
** "[http://congress.cimne.com/iacm-eccomas2014/admin/Files/FileAbstract/a239.pdf MS239: Multibody System Dynamics and Modal Reduction]"
** "[http://congress.cimne.com/iacm-eccomas2014/admin/Files/FileAbstract/a15.pdf MS015: Reduced Basis, POD and PGD Model Reduction Techniques]"
** "[http://congress.cimne.com/iacm-eccomas2014/admin/Files/FileAbstract/a141.pdf MS141: Reduced Order Models in Vibroacoustics]"
** "[http://congress.cimne.com/iacm-eccomas2014/admin/Files/FileAbstract/a69.pdf MS069: Advanced Reduced-order Modeling Strategies for Parametrized PDEs and Applications]"

* Session at [http://www.siam.org/meetings/an14/ SIAM Annual Meeting 2014], July 7th - 11th; Chicago (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=19618 CP1 - Reduced Order Models]"
* Sessions at the [http://ecc14.eu European Control Conference 2014] June 24th- 27th, 2014; Strasbourg (France)
** "[https://controls.papercept.net/conferences/conferences/ECC14/program/ECC14_ContentListWeb_3.html#tha2 Model and Controller Reduction I]"
** "[https://controls.papercept.net/conferences/conferences/ECC14/program/ECC14_ContentListWeb_4.html#frc2 Model and Controller Reduction II]"
* Session at [http://acc2014.a2c2.org/ American Control Conference] June 4th - 6th, 2014; Portland (USA)
** "[https://css.paperplaza.net/conferences/conferences/2014ACC/program/2014ACC_ContentListWeb_1.html#wea04 Reduced Order Modeling]"
* Sessions at [http://siam.org/meetings/uq14/ SIAM Conference on Uncertainty Quantification] March 31st - April 3rd; Savannah (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=18137 MS10 - Model-Reduction Techniques for Quantifying and Controlling Uncertainty]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=18298 MT3 - Reduced Order Methods for Modelling and Computational Reduction in UQ Problems]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=18664 CP11 - Reduced-order Modeling]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=18192 MS67 - Surrogate and Reduced Order Modeling for Statistical Inversion and Prediction - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=18193 MS77 - Surrogate and Reduced Order Modeling for Statistical Inversion and Prediction - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=17858 MS87 - Uncertainty Quantification via Dimension Reduction: Deterministic and Stochastic Approaches]"
* [http://jahrestagung.gamm-ev.de/index.php/scientific-program/minisymposia Parametric Model Reduction of Dynamical Systems] Minisymposium at the [http://jahrestagung.gamm-ev.de/ GAMM annual meeting 2014] March 10th - 14th, 2014; Erlangen (Germany)

===2013===
* [http://www2.mpi-magdeburg.mpg.de/mpcsc/events/ModRed/2013/ ModRed 2013] December 11th - 13th, 2013; Magdeburg (Germany)
* [http://www.mathos.unios.hr/locschool2013/ DAAD International School on Linear Optimal Control of Dynamic Systems] September 23rd - 28th; Osijek (Croatia)
* [http://www.ma.tum.de/IGDK1754/SummerSchool2013 Summerschool "Reduced Basis Methods - Fundamentals and Applications"] September 16th - 19th; Munich (Germany)
* Reduced Basis Summer School 2013 August, 2013; Aachen (Germany)
* [http://enumath2013.epfl.ch Enumath] Minisymposium "Reduced order modelling for the simulation of complex systems" August 26th - 30th, 2013, Lausanne (Switzerland)
* Sessions at the [http://www.ecc13.ethz.ch European control Conference 2013] July 17th - 19th, 2013; Zurich (Switzerland)
** "[https://controls.papercept.net/conferences/conferences/ECC13/program/ECC13_ContentListWeb_4.html#fra12 Reduced Order Systems]"
** "[https://controls.papercept.net/conferences/conferences/ECC13/program/ECC13_ContentListWeb_4.html#frc12 Model Reduction]"
* [http://modelreduction.net/workshops/4th-annual 4th International Workshop on Model Reduction in Reacting Flows] June 19th - 21st, 2013, San Francisco (USA)
* Sessions at [http://acc2013.a2c2.org American Control Conference] June 17th - 19th, 2013; Washington D.C. (USA)
** "[https://css.paperplaza.net/conferences/conferences/2013ACC/program/2013ACC_ContentListWeb_3.html#web05 Reduced-Order Modeling]"
* [http://modredcirm2013.uni-muenster.de/ CIRM workshop Model Reduction and Approximation for Complex Systems] June 10th - 14th, 2013; Marseille (France)
* [http://www.tapir.caltech.edu/~rom-gr/ Reduced Order Modelling in General Relativity] June 6th - 7th, 2013; Pasadena (USA)
* Sessions at the [http://www.siam.org/meetings/cse13 SIAM Conference on Computational Science and Engineering] February 25th - March 1st; Boston (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15551 MS20 - Structure-preserving Model Order Reduction of Large-scale Dynamical Systems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15552 MS40 - Structure-preserving Model Order Reduction of Large-scale Dynamical Systems - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15728 MS14 - Model Reduction and Surrogate Modeling Advances in Porous Media Flow Simulation and Optimization - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15729 MS34 - Model Reduction and Surrogate Modeling Advances in Porous Media Flow Simulation and Optimization - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15547 MS104 - Data-Driven Model Reduction - Part I of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15548 MS138 - Data-Driven Model Reduction - Part II of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15549 MS194 - Data-Driven Model Reduction - Part III of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15676 MS144 - Nonlinear Model Reduction of Complex Flows: Modeling, Analysis, and Computations - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15677 MS182 - Nonlinear Model Reduction of Complex Flows: Modeling, Analysis, and Computations - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15639 MS45 - Data Driven and Nonliner Model Reduction - Parts I of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15640 MS68 - Data Driven and Nonliner Model Reduction - Parts II of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15641 MS116 - Data Driven and Nonliner Model Reduction - Parts III of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15422 MS95 - Reduced Order Modelling for Complex Systems in CFD - Part I of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15423 MS164 - Reduced Order Modelling for Complex Systems in CFD - Part II of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15424 MS244 - Reduced Order Modelling for Complex Systems in CFD - Part III of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15758 MS219 - Model Order Reduction: Recent Advances and Challenges - Part I of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15759 MS257 - Model Order Reduction: Recent Advances and Challenges - Part II of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15760 MS272 - Model Order Reduction: Recent Advances and Challenges - Part III of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15952 CP12 - Model Reduction and Data-Driven Approaches]"

===2012===
* [http://www.morepas.org/workshop2012/index.html MoRePaS 2] October 2nd - 5th, 2012; Günzburg (Germany)
* [http://www.mathematik.uni-stuttgart.de/fak8/ians/lehrstuhl/agh/misc/events/rbm_workshop_2012.html Reduced Basis Summer School 2012] August 28th - 31st; Stuttgart (Germany)
* [http://www.math.uni-hamburg.de/moa/ Workshop on Adaptivity and Model Order Reduction in PDE Constrained Optimization] July 23rd - 27th; Hamburg (Germany)
* Sessions at [http://acc2012.a2c2.org/ American Control Conference] June 27th - 29th, 2012; Montreal (Canada)
** "[https://css.paperplaza.net/conferences/conferences/2012ACC/program/2012ACC_ContentListWeb_1.html#wec20 Reduced Order Modeling]"
* [https://www.cecam.org/workshop-2-681.html Reduced Basis, POD and Reduced Order Methods for model and computational reduction: towards real-time computing and visualization?] May 14 - 16th; Lausanne (Switzerland)
* [https://www2.mpi-magdeburg.mpg.de/mpcsc/news/program_tegernsee.pdf Workshop on Nonlinear MOR] May 6th - 9th; Tegernsee (Germany)
* Minisymposia at [http://siam.org/meetings/uq12/ SIAM Conference on Uncertaity Quantification] April 2nd - 6th; Raleigh (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=14305 MS58 - Model Reduction for Nonlinear Dynamical Systems]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=14520 MS80 - Reduced Order Modeling for High Dimensional Nonlinear Models]"

===2011===
* [http://www.math.uni-konstanz.de/numerik/pod/workshop Advances in POD and RB Model-Order Reduction] November 21st, 2011; Konstanz (Germany)
* [http://www.uni-ulm.de/mawi/mawi-numerik/aktuelles/summer-school-rbm.html Reduced Basis Summer School 2011] October 25th - 28th; Ulm (Germany)
* [http://www2.mpi-magdeburg.mpg.de/mpcsc/events/trogir/ Summer School on Numerical Linear Algebra for Dynamical and High-Dimensional Problems] October 10th - 15th; Trogir (Croatia)
* [http://www.math.uni-bremen.de/zetem/cms/detail.php?template=gamm_parse_title&person=gamm11/program GAMM Workshop Applied and Numerical Linear Algebra with Special Emphasis on Model Reduction] September 21st - 22nd; Bremen (Germany)
* Sessions at [http://iciam.org/event/iciam-2011-%E2%80%93-vancouver 7th International Congress on Industrial and Applied Mathematics] July 18th - 22nd; Vancouver (Canada)
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=11230 MS38 - Optimal Parameter Sampling in Model Reduction - Part I of III]"
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=11231 MS87 - Optimal Parameter Sampling in Model Reduction - Part II of III]"
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=11232 MS136 - Optimal Parameter Sampling in Model Reduction - Part III of III]"
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=11296 MS148 - Structure-Preserving Model Reduction - Part I of III]"
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=11297 MS199 - Structure-Preserving Model Reduction - Part II of III]"
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=11298 MS256 - Structure-Preserving Model Reduction - Part III of III]"
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=11452 MS340 - Dynamical Systems Approaches to Model Reduction -- Part I of II]"
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=12051 MS388 - Dynamical Systems Approaches to Model Reduction -- Part II of II]"
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=11877 MS363 - Reduced Basis Methods and their Applications - Part I of IV]"
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=11878 MS416 - Reduced Basis Methods and their Applications - Part II of IV]"
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=11879 MS462 - Reduced Basis Methods and their Applications - Part III of IV]"
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=11880 MS511 - Reduced Basis Methods and their Applications - Part IV of IV]"
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=13350 CP36 - Reduced Order Models]"
* [http://www.modelreduction.net/iwmrrf2011/site/ 3rd International Workshop on Model Reduction in Reacting Flows] April 27th - 29th; Corfu (Greece)
* Session at the [http://siam.org/meetings/cse11 SIAM Conference on Computational Science and Engineering] February 28th - March 4th; Reno (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=10982 MS18 - Model Reduction of Nonlinear and Parametrized Systems - Part I of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=10983 MS26 - Model Reduction of Nonlinear and Parametrized Systems - Part II of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=10984 MS40 - Model Reduction of Nonlinear and Parametrized Systems - Part III of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=11497 MS39 - Model Order Reduction Using Graph Theory and Numerical Linear Algebra]"
* [http://www.wias-berlin.de/workshops/MOR2011/ Workshop on Model Order Reduction in Optimization and Control with PDEs] January 26th - 28th; Berlin (Germany)

===2010===
* [http://www.ians.uni-stuttgart.de/MoRePaS/events/Ulm10/index.html Workshop on RB Methods] December 7th - 8th, 2010; Ulm (Germany)
* [http://www3.math.tu-berlin.de/modred2010/ ModRed 2010] December 2nd - 4th, 2010; Berlin (Germany)
* Sessions at [http://www.siam.org/meetings/an10/ SIAM Annual Meeting 2010], July 12th - 16th, 2010; Pittsburgh (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=10125 MS2 - Advances in Model Reduction for Large-Scale Problems - Part I of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=10126 MS38 - Advances in Model Reduction for Large-Scale Problems - Part II of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=10127 MS51 - Advances in Model Reduction for Large-Scale Problems - Part III of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=10202 MS33 - Reduced Order Models for Dynamical Systems]"
* Minisymposium "[http://www.eccomas-cfd2010.org/minisymposia.php Model Order Reduction of Complex Systems in CFD]" at [http://www.eccomas-cfd2010.org ECCOMAS CFD]; June 14th - 17th, 2010; Lisbon (Portugal)

===2009===
* Sessions at [https://archive.siam.org/meetings/la09/index.php SIAM Conference on Applied Linear Algebra] October 26 th 29th, 2009; Monterey Bay-Seaside (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=8992 MS14 - Model Order Reduction for Dynamical Systems - Part I of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=8993 MS20 - Model Order Reduction for Dynamical Systems - Part II of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=8994 MS32 - Model Order Reduction for Dynamical Systems - Part III of III]"
* [http://www.win.tue.nl/casa/meetings/special/mor09/ Autumn School on Future Developments in Model Order Reduction] September 21st - 25th, 2009; Terschelling (Netherlands)
* [http://www.uni-muenster.de/CeNoS/ocs/index.php/MRP/MRP09/ MoRePaS] September 16th - 18th, 2009; Münster (Germany)
* Session at [http://www.siam.org/meetings/an09/ SIAM Annual Meeting 2009] July 6th - 10th, 2009; Denver (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=8863 CP20 - Model Reduction]"
* [http://modelreduction.net/iwmrrf2009/ 2nd International Workshop on Model Reduction in Reacting Flows] March 30th - April 1st, 2009 Notre Dame (USA)
* [http://www.cl.eps.manchester.ac.uk/medialand/maths/archived-events/workshops/www.mims.manchester.ac.uk/events/workshops/HSMoR09/ CICADA Workshop on Hybrid Systems and Model Reduction] March 19th - 20th, 2009 Manchester (England)
* Sessions at the [http://siam.org/meetings/cse09 SIAM Conference on Computational Science and Engineering] March 2nd - 6th, 2009; Miami (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=8306 CP12 - Model Reduction]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=7918 MS106 - Model Reduction - Part I of V]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=7919 MS119 - Model Reduction - Part II of V]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=7920 MS127 - Model Reduction - Part III of V]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=7921 MS141 - Model Reduction - Part IV of V]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=7922 MS151 - Model Reduction - Part V of V]"

===2008===

* [https://www.math.uni-hamburg.de/spag/zms/syrene/ Model Reduction for Circuit Simulation] October 30th - 31st, 2008; Hamburg (Germany)
* Session at [http://acc2008.a2c2.org/ American Control Conference] June 11th - 13th, 2008; Seattle (USA)
** "[https://css.paperplaza.net/conferences/conferences/2008ACC/program/2008ACC_ContentListWeb_3.html#fra11 Model Reduction]"

===2007===
* [http://www.win.tue.nl/casa/meetings/special/mor07/ Symposium on Recent Advances in Model Order Reduction] November 23rd, 2007; Eindhoven (Netherlands)
* [http://modelreduction.net/ModelReductionWorkshop/Home%20Page.html 1st International Workshop on Model Reduction in Reacting Flows] September 3rd - 5th, 2007; Rome (Italy)
* Sessions at [http://iciam.org/event/iciam-2007-%E2%80%93-zurich 6th International Congress for Industrial and Applied Mathematics] July 16th - 20th, 2007; Zurich (Switzerland)
** "[http://iciamold.jsiam.org/iciam2007/ICIAM07-ProgramBook.pdf#IC/MP/002/S/346 Model reduction: theory, methodology and software #1]"
** "[http://iciamold.jsiam.org/iciam2007/ICIAM07-ProgramBook.pdf#IC/MP/002/S/346-2 Model reduction: theory, methodology and software #2]"
** "[http://iciamold.jsiam.org/iciam2007/iciam07_programbook.pdf#IC/MP/020/S/347 Model reduction: structured and higher-order systems #1]"
** "[http://iciamold.jsiam.org/iciam2007/iciam07_programbook.pdf#IC/MP/020/S/347-2 Model reduction: structured and higher-order systems #2]"
** "[http://iciamold.jsiam.org/iciam2007/iciam07_programbook.pdf#IC/MP/020/P/348 Model reduction in circuit simulation #1]"
** "[http://iciamold.jsiam.org/iciam2007/ICIAM07-ProgramBook.pdf#IC/MP/020/P/348-2 Model reduction in circuit simulation #2]"
* Session at [http://acc2007.a2c2.org/ American Control Conference] July 11th - 13th, 2007; New York (USA)
** "[https://css.paperplaza.net/conferences/conferences/2007ACC/program/2007ACC_ContentListWeb_1.html#web07 Reduced Order Modeling]"
* Sessions at [https://archive.siam.org/meetings/ct07/index.php SIAM Conference on Control and its Application] June 29th - July 1st, 2007; San Francisco (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=6338 MS16 - Model Reduction for Control and Dynamical Systems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=6339 MS21 - Model Reduction for Control and Dynamical Systems - Part II of II]"
* Sessions at [http://siam.org/meetings/cse07 SIAM Conference on Computational Science and Engineering] February 19th - 23rd, 2007; Costa Mesa (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=5955 MS36 - Model Order Reduction and Automated Behavioural Modeling - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=6029 MS48 - Model Order Reduction and Automated Behavioural Modeling - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=6137 CP12 - Reduced Order Modelling]"

===2006===
* Session "Model Reduction" at [http://www.eurosime.org/b06.htm EuroSimE 2006] April 24th - 26th, 2006; Como (Italy)

* Minisymposia at [http://www.siam.org/meetings/an06/index.php SIAM Annual Meeting 2006] July 10th - 14th, 2006; Boston (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=5357 MS13 - Model Reduction of Dynamical Systems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=5358 MS31 - Model Reduction of Dynamical Systems - Part II of II]"

===2005===
* [http://www.lorentzcenter.nl/lc/web/2005/160/info.php3?wsid=160. Model order reduction, coupled problems and optimization] September 19th - 23rd, 2005; Leiden (Netherlands)

* Minisymposia at [http://www.siam.org/meetings/an05/index.htm SIAM Annual Conference 2005] July 11th - 15th, 2005; New Orleans (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=4372 MS43 - Model Reduction for Large Scale Dynamical Systems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=4373 MS55 - Model Reduction for Large Scale Dynamical Systems - Part II of II]"

===2004===
* [https://www.birs.ca/events/2004/5-day-workshops/04w5513 Model Reduction Problems and Matrix Methods] April 3rd - 8th; Banff (Canada)

===2003===
* [http://web.archive.org/web/20070612131401/http://www.math.tu-berlin.de/numerik/mt/NumMat/Meetings/0310_MFO/ Dimensional Reduction of Large-Scale Systems] October 19th - 25th, 2003 Oberwolfach (Germany)

===2001===
* [https://research.tue.nl/en/activities/macsi-workshop-on-model-reduction MACSI workshop on Model Reduction] October 8th - 9th, 2001; Eindhoven (Netherlands)
* Minisymposium at [http://user.it.uu.se/~icosahom/ International Conference On Spectral and High Order Methods] June 11th - 15th, 2001; Uppsala (Sweden)
** "Reduced-Basis Methods for Partial Differential Equations"

===2000===
* Session at the [https://archive.siam.org/meetings/cse00/ First SIAM Conference on Computational Science and Engineering] September 21st - 24th, 2000; Washington D.C. (USA)
** "[https://archive.siam.org/meetings/cse00/cp25.htm CP25 - Model Reduction, Validation and Data Assimilation]"

===1999===
* Minisymposia at the [http://iciam.org/event/iciam-1999-%E2%80%93-edinburgh 4th International Council for Industrial and Applied Mathematics Congress] July 5th - 9th, 1999; Edinburgh (Scotland)
** "[http://www.macs.hw.ac.uk/archive/iciam99/PrintedProgramme/BookOfAbstracts.pdf#page=171 MSP-187 Reduced-Order Modeling of Large-Scale Systems and Applications in Industry]"
** "[http://www.macs.hw.ac.uk/archive/iciam99/PrintedProgramme/BookOfAbstracts.pdf#page=187 MSP-205,206 Methods of Dimension Reduction]"

Further Software

2023-08-14T18:11:30Z

Himpe: /* Other Model Reduction Software */ update librom link

[[Category:Software]]

Besides the projects in [[:Category:Software|Software]] category, the following model reduction software packages exist:

==Other Model Reduction Software==

* [https://github.com/urban-fasel/FlexWingROM/ FlexWing-ROM] (MATLAB)
* [http://git.io/hapod hapod] - Hierarchical Approximate Proper Orthogonal Decomposition (MATLAB/OCTAVE)
* [http://www.morepas.org/software/kermor/ KerMor] - Kernel Methods for Model Order Reduction (MATLAB)
* [https://www.librom.net libROM] - Library for Reduced Order Models (C++)
* [https://mordigitalsystems.fr MOR toolbox] - Model reduction toolbox for MATLAB
* [https://modred.readthedocs.io modred] - A Parallelized Model Reduction Library (Python)
* [https://gitlab.com/mor_dicus/mordicus Mordicus] - Reduced Order Modeling library (Python)
* [https://github.com/mpimd-csc/morgen morgen] - Model Order Reduction for Gas and Energy Networks (MATLAB)
* [https://github.com/MORLab/MORpH MORpH] - Model reduction of linear port-Hamiltonian systems (MATLAB)
* [http://homepages.rpi.edu/~hahnj/Model_Reduction/ Nonlinear Model Reduction Routines] (MATLAB)
* [https://github.com/cwentland0/perform PERFORM] - Prototyping Environment for Reacting Flow Order Reduction Methods (Python)
* [https://github.com/Pressio/pressio pressio] - Projection-based model reduction for nonlinear dynamical systems (C++)
* [https://www.mw.tum.de/rt/forschung/modellordnungsreduktion/software/psssmor/ psssMOR] - Parametric Sparse State-Space and Model Order Reduction Toolbox (MATLAB)
* [https://github.com/erdc/pynirom pyNIROM] - Non-Intrusive Reduced Order Modeling using Python
* [https://github.com/CurtinIC/pyROM pyROM] - Reduced Order Modelling Framework for Python
* [https://redbkit.github.io/redbKIT/ redbKIT] - a MATLAB(R) library for reduced-order modeling of parametrized PDEs
* [http://simplifytoolbox.tumblr.com/ SiMpLIfy] - Structured ModeL reductIon Toolbox for MATLAB
* [http://slicot.org/matlab-toolboxes/model-reduction SLICOT] - Model and Controller Reduction Toolbox (MATLAB)
* [https://doi.org/10.5281/zenodo.4600763 SOLBT] - Limited Balanced Truncation for Large-Scale Sparse Second-Order Systems (MATLAB)
* [https://doi.org/10.5281/zenodo.2553901 SOMDDPA] - Second-Order Modally-Damped Dominant Pole Algorithm (MATLAB)
* [http://sumo.intec.ugent.be/SUMO SUMO] - SUrrogate MOdeling (SUMO) Toolbox (MATLAB)
* [https://github.com/jeffrey-hokanson/sysmor SYSMOR] - System-Theoretic Model Order Reduction (Python)
* [https://github.com/tauruslibmor/taurus Taurus] - taurus library for model order reduction (C++)
* [http://berndnoack.com/xROM.php xROM] - a free Tool for Reduced-Order Modeling

==Discontinued Model Reduction Software==

*[http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.580.2500&rep=rep1&type=pdf A MATLAB Toolbox for Teaching Model Order Reduction Techniques]
* [https://doi.org/10.1109/37.24832 EXPRED] - Expert system for optimization of model reduction techniques (M1)
* [https://web.archive.org/web/20080920171815/http://www.imtek.uni-freiburg.de/simulation/mor4ansys/ mor4ansys] - Model Order Reduction for ANSYS (now [https://www.cadfem.de/produkte/cadfem-ansys-extensions/model-reduction-inside-ansys.html ANSYS extension])
* [https://web.archive.org/web/20080727002739/http://scowl.ge.uiuc.edu/~ssivakum/research.html MRedTool] - Model Reduction of Multi-dimensional and Uncertain systems (MATLAB)
* [http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.453.5492&rep=rep1&type=pdf NLMR] - MATLAB toolbox for exploring projection-based nonlinear model reduction
* [https://doi.org/10.1109/ICICIC.2007.436 OPTIMRED] - A Software Application for Computation of Optimal Reduced Model (MATLAB)
* [https://web.archive.org/web/20130620070226/http://www3.uji.es/~quintana/plic/plicmr/ PLiCMR] - Parallel Library in Control: Model Reduction (integrated into PSLICOT)
* [https://web.archive.org/web/20151124062504/http://augustine.mit.edu:80/methodology/methodology_rbMIT_System.htm rbMIT] - reduced basis MIT (MATLAB)
* [https://www.robotic.de/94 RASP-MODRED] - Regelungstechnische Analyse und Synthese Programme Model Reduction (integrated into SLICOT)
* [https://web.archive.org/web/20151115030532/http://bnbond.com/software/smores/ SMORES] - A Matlab tool for Simulation and Model Order Reduction of Electrical Systems
* [https://web.archive.org/web/20130618203457/http://www3.uji.es/~quintana/plic/spared/index.html SpaRed] - A Parallel Library for Model Reduction (C)

Further Software

2023-06-09T06:56:45Z

Himpe: /* Other Model Reduction Software */ Added MORpH

[[Category:Software]]

Besides the projects in [[:Category:Software|Software]] category, the following model reduction software packages exist:

==Other Model Reduction Software==

* [https://github.com/urban-fasel/FlexWingROM/ FlexWing-ROM] (MATLAB)
* [http://git.io/hapod hapod] - Hierarchical Approximate Proper Orthogonal Decomposition (MATLAB/OCTAVE)
* [http://www.morepas.org/software/kermor/ KerMor] - Kernel Methods for Model Order Reduction (MATLAB)
* [https://github.com/LLNL/libROM libROM] - Model reduction library with an emphasis on large scale parallelism and linear subspace methods (C)
* [https://mordigitalsystems.fr MOR toolbox] - Model reduction toolbox for MATLAB
* [https://modred.readthedocs.io modred] - A Parallelized Model Reduction Library (Python)
* [https://gitlab.com/mor_dicus/mordicus Mordicus] - Reduced Order Modeling library (Python)
* [https://github.com/mpimd-csc/morgen morgen] - Model Order Reduction for Gas and Energy Networks (MATLAB)
* [https://github.com/MORLab/MORpH MORpH] - Model reduction of linear port-Hamiltonian systems (MATLAB)
* [http://homepages.rpi.edu/~hahnj/Model_Reduction/ Nonlinear Model Reduction Routines] (MATLAB)
* [https://github.com/cwentland0/perform PERFORM] - Prototyping Environment for Reacting Flow Order Reduction Methods (Python)
* [https://github.com/Pressio/pressio pressio] - Projection-based model reduction for nonlinear dynamical systems (C++)
* [https://www.mw.tum.de/rt/forschung/modellordnungsreduktion/software/psssmor/ psssMOR] - Parametric Sparse State-Space and Model Order Reduction Toolbox (MATLAB)
* [https://github.com/erdc/pynirom pyNIROM] - Non-Intrusive Reduced Order Modeling using Python
* [https://github.com/CurtinIC/pyROM pyROM] - Reduced Order Modelling Framework for Python
* [https://redbkit.github.io/redbKIT/ redbKIT] - a MATLAB(R) library for reduced-order modeling of parametrized PDEs
* [http://simplifytoolbox.tumblr.com/ SiMpLIfy] - Structured ModeL reductIon Toolbox for MATLAB
* [http://slicot.org/matlab-toolboxes/model-reduction SLICOT] - Model and Controller Reduction Toolbox (MATLAB)
* [https://doi.org/10.5281/zenodo.4600763 SOLBT] - Limited Balanced Truncation for Large-Scale Sparse Second-Order Systems (MATLAB)
* [https://doi.org/10.5281/zenodo.2553901 SOMDDPA] - Second-Order Modally-Damped Dominant Pole Algorithm (MATLAB)
* [http://sumo.intec.ugent.be/SUMO SUMO] - SUrrogate MOdeling (SUMO) Toolbox (MATLAB)
* [https://github.com/jeffrey-hokanson/sysmor SYSMOR] - System-Theoretic Model Order Reduction (Python)
* [https://github.com/tauruslibmor/taurus Taurus] - taurus library for model order reduction (C++)
* [http://berndnoack.com/xROM.php xROM] - a free Tool for Reduced-Order Modeling

==Discontinued Model Reduction Software==

*[http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.580.2500&rep=rep1&type=pdf A MATLAB Toolbox for Teaching Model Order Reduction Techniques]
* [https://doi.org/10.1109/37.24832 EXPRED] - Expert system for optimization of model reduction techniques (M1)
* [https://web.archive.org/web/20080920171815/http://www.imtek.uni-freiburg.de/simulation/mor4ansys/ mor4ansys] - Model Order Reduction for ANSYS (now [https://www.cadfem.de/produkte/cadfem-ansys-extensions/model-reduction-inside-ansys.html ANSYS extension])
* [https://web.archive.org/web/20080727002739/http://scowl.ge.uiuc.edu/~ssivakum/research.html MRedTool] - Model Reduction of Multi-dimensional and Uncertain systems (MATLAB)
* [http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.453.5492&rep=rep1&type=pdf NLMR] - MATLAB toolbox for exploring projection-based nonlinear model reduction
* [https://doi.org/10.1109/ICICIC.2007.436 OPTIMRED] - A Software Application for Computation of Optimal Reduced Model (MATLAB)
* [https://web.archive.org/web/20130620070226/http://www3.uji.es/~quintana/plic/plicmr/ PLiCMR] - Parallel Library in Control: Model Reduction (integrated into PSLICOT)
* [https://web.archive.org/web/20151124062504/http://augustine.mit.edu:80/methodology/methodology_rbMIT_System.htm rbMIT] - reduced basis MIT (MATLAB)
* [https://www.robotic.de/94 RASP-MODRED] - Regelungstechnische Analyse und Synthese Programme Model Reduction (integrated into SLICOT)
* [https://web.archive.org/web/20151115030532/http://bnbond.com/software/smores/ SMORES] - A Matlab tool for Simulation and Model Order Reduction of Electrical Systems
* [https://web.archive.org/web/20130618203457/http://www3.uji.es/~quintana/plic/spared/index.html SpaRed] - A Parallel Library for Model Reduction (C)

User:Himpe

2023-06-09T06:53:03Z

Himpe: Update work address

[https://himpe.science Christian Himpe] ( christian.himpe@wwu.de )

[https://www.ulb.uni-muenster.de/bibliothek/ansprechpartner/ansprechpartner-orgaplan.html#innovation University and State Library of Münster]

[https://www.uni-muenster.de/ University of Münster]

Scharnhorststraße 103-109

48151 Münster

Germany

MOR Wiki:Current events

2023-06-01T08:24:39Z

Himpe: Added MORTECH

[[Category:Miscellaneous]]

== MOR Wiki Users Meetings ==

* The first general assembly of MOR Wiki users took place on December 10th - 2013, at the [http://mpim.iwww.mpg.de/research/groups/csc MPI in Magdeburg] (Germany).

* The second MOR Wiki meeting took place on April 23rd - 2015, at the [http://mpim.iwww.mpg.de/research/groups/csc MPI in Magdeburg] (Germany).

* The third MOR Wiki meeting took place on January 11th - 2017, during the [http://www.mpi-magdeburg.mpg.de/csc/events/modred2017 ModRed in Odense] (Denmark).

== Upcoming Workhops and Conferences ==

* [https://mortech2023.sciencesconf.org/ MORTech 2023 – 6th International Workshop on Model Reduction Techniques], November 22 - 24, 2023; Paris-Saclay (France)

== Past Events ==

=== 2023 ===

* [https://ims.nus.edu.sg/events/international-workshop-on-reduced-order-methods/ International Workshop on Reduced Order Methods], May 22nd - 26th, 2023; Singapore (Singapore)

* [https://personal.math.vt.edu/borggajt/nlromc/index.html Nonlinear Model Reduction for Control], May 22nd - 26th, 2023; Blacksburg (USA).

=== 2022 ===

* [https://alop.uni-trier.de/event/autumn-school-on-model-reduction-and-model-predictive-control-with-differential-equations/ Model Reduction and Model Predictive Control with Differential Equations], October 4th - 7th, 2022; Trier (Germany)

* [https://more.sciencesconf.org/ Model Reduction and Surrogate Modeling (MORE)], September 19th - 23rd, 2022; Berlin (Germany)

* [https://www.mathmod.at/ 10th Vienna International Conference on Mathematical Modelling], July 27th – 29th, 2022;Vienna (Austria)
** [https://ifac.papercept.net/conferences/conferences/MAMO21/program/MAMO21_ContentListWeb_2.html#wed3 Model Reduction]
** [https://ifac.papercept.net/conferences/conferences/MAMO21/program/MAMO21_ContentListWeb_2.html#wed1 Recent Advances in Model Reduction and Surrogate Modeling I of IV]
** [https://ifac.papercept.net/conferences/conferences/MAMO21/program/MAMO21_ContentListWeb_2.html#wee1 Recent Advances in Model Reduction and Surrogate Modeling II of IV]
** [https://ifac.papercept.net/conferences/conferences/MAMO21/program/MAMO21_ContentListWeb_2.html#thb1 Recent Advances in Model Reduction and Surrogate Modeling III of IV]
** [https://ifac.papercept.net/conferences/conferences/MAMO21/program/MAMO21_ContentListWeb_2.html#thd1 Recent Advances in Model Reduction and Surrogate Modeling IV of IV]

* [https://www.uni-muenster.de/MathematicsMuenster/events/2022/YMCN-model-order-reduction.shtml#Schedule Young Mathematicians in Model Order Reduction (YMMOR)], July 18th - 22th, 2022; Münster (Germany)

* [https://dcn.nat.fau.eu/events/mini-workshop-model-reduction-and-control/ Mini-Workshop "Model Reduction and Control"] May 24th, 2022; (ONLINE)

* [https://www.siam.org/conferences/cm/conference/uq22 SIAM Conference on Uncertainty Quantification], April 12th -15th, 2022; Atlanta (USA)
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=73287 MS4: Nonlinear Model Reduction Methods for Random or Parametric Time Dependent Problems - Part I of III]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=73288 MS32: Nonlinear Model Reduction Methods for Random or Parametric Time Dependent Problems - Part II of III]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=73289 MS76: Nonlinear Model Reduction Methods for Random or Parametric Time Dependent Problems - Part III of III]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=73521 MS154: Reduced Order Modelling for Forward and Inverse UQ - Part I of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=73537 MS168: Reduced Order Modelling for Forward and Inverse UQ - Part II of II]

=== 2021 ===

* [https://indico.sissa.it/event/43/ RAMSES: Reduced order models; Approximation theory; Machine learning; Surrogates, Emulators and Simulators], December 14th - 17th, 2021; Trieste (Italy)

* [https://www.romsoc.eu/wim-2021/ Workshop in Industrial Mathematics (WIM2021) with the Reduced-Order Modeling, Simulation and Optimization of Coupled Systems], October 20th - 22nd; Catania (Italy)

* [https://www.icms.org.uk/events/event/?id=1178 New Developments in Reduced Order Modelling], October 15th; '''ONLINE'''

* [https://mmldt.eng.ucsd.edu/home MMLDT-CSET - Mechanistic Machine Learning and Digital Twins for Computational Science, Engineering & Technology 2021], September 26th - 29th, 2021; San Diego (USA)
** [https://docs.google.com/spreadsheets/d/1GosdHfvpskcnnR56u29ZRNfBWC4kg0hR/edit#gid=83060610&range=A1 MS 4-7: Physics-Informed Data-based Model Reduction]
** [https://docs.google.com/spreadsheets/d/1GosdHfvpskcnnR56u29ZRNfBWC4kg0hR/edit#gid=1626075110&range=A1 MS 4-8: Model Reduction and Machine Learning for Fluids and Fluid-Structure Interactions]
** [https://docs.google.com/spreadsheets/d/1GosdHfvpskcnnR56u29ZRNfBWC4kg0hR/edit#gid=618092903&range=A1 MS 4-9: Advances in Reduced Order Modeling of Solids and Fluids and Porous Media]
** [https://docs.google.com/spreadsheets/d/1GosdHfvpskcnnR56u29ZRNfBWC4kg0hR/edit#gid=378364206&range=A1 MS 4-10: Model Reduction of Dynamical Systems with Deep Learning]
** [https://docs.google.com/spreadsheets/d/1GosdHfvpskcnnR56u29ZRNfBWC4kg0hR/edit#gid=667740&range=A1 MS 5-1: Advances in Machine Learning and Model Reduction for Inversion in Geophysical and Geological Applications]

* [http://smai.emath.fr/cemracs/cemracs21/ CEMRACS 2021 - Data Assimilation and Reduced Modeling for High Dimensional Problems], July 19th - August 27th, 2021; Luminy (France)

* [http://16.usnccm.org US National Congress on Computational Mechanics (USNCCM)], July 25th - 29th, 2021; Chicago (USA)
** "[http://16.usnccm.org/MS_311 MS311: Model Order Reduction for Physical Simulations]"

* [https://www.siam.org/conferences/cm/conference/an21 SIAM Annual Meeting], July 19th - 23rd, 2021; '''ONLINE'''
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=71670 MS62: Advances in Uncertainty Quantification with Model Order Reduction Methods I]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=71671 MS88: Advances in Uncertainty Quantification with Model Order Reduction Methods II]

* [https://www.siam.org/conferences/cm/conference/ct21 SIAM Conference on Control and Its Applications], July 19th - 21st, 2021; '''ONLINE'''
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=71167 MS1: Model Reduction for Control of High-Dimensional Nonlinear Systems I]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=71168 MS9: Model Reduction for Control of High-Dimensional Nonlinear Systems II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=71169 MS17: Model Reduction for Control of High-Dimensional Nonlinear Systems III]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=72048 MS26: Data-Driven Methods in Model Reduction and Control I]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=72049 MS34: Data-Driven Methods in Model Reduction and Control II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=72050 MS42: Data-Driven Methods in Model Reduction and Control III]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=71716 MS25: Model Reduction of Complex Dynamical Systems and its Applications I]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=71717 MS33: Model Reduction of Complex Dynamical Systems and its Applications II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=71718 MS41: Model Reduction of Complex Dynamical Systems and its Applications III]

* [https://www.siam.org/conferences/cm/conference/cse21 SIAM Conference on Computational Science and Engineering (CSE21)], March 1st - 5th, 2021; Fort Worth (USA)
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=70067 MS8: Data Driven Reduced Order Models: Structure, Networks and Imaging - Part I of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69881 MS26: Reduced Order Methods for Parametric CFD Problems - Part I of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69861 MS27: Reduced Order Model Stabilizations and Closures - Part I of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69824 MS31: Structure-Preserving Model Order Reduction for Large-Scale Systems - Part I of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69862 MS60: Reduced Order Model Stabilizations and Closures - Part II of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69943 MS74: Dimensionality Reduction and Reduced-Order Models for the Boltzmann Transport Equation]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=70068 MS98: Data Driven Reduced Order Models: Structure, Networks and Imaging - Part II of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69882 MS111: Reduced Order Methods for Parametric CFD Problems - Part II of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69928 MS113: Reduced-Order Modeling and Analysis of Turbulence - Part I of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69825 MS119: Structure-Preserving Model Order Reduction for Large-Scale Systems - Part II of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69929 MS147: Reduced-Order Modeling and Analysis of Turbulence - Part II of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=70145 MS172: Model Order Reduction for Large-Scale Problems - Part I of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=70146 MS234: Model Order Reduction for Large-Scale Problems - Part II of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=70123 MS309: Data-Driven Modeling and Model Reduction: Honoring 70th Birthday of Thanos Antoulas - Part I of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69938 MS319: Model Order Reduction for Complex Systems - Part I of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69816 MS324: Recent Advances in Model Order Reduction for Advection-Dominated Simulations - Part I of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69764 MS326: Recent Developments in Nonlinear Model Reduction Methods - Part I of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=70124 MS340: Data-Driven Modeling and Model Reduction: Honoring 70th Birthday of Thanos Antoulas - Part II of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69939 MS350: Model Order Reduction for Complex Systems - Part II of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69819 MS355: Recent Advances in Model Order Reduction for Advection-Dominated Simulations - Part II of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69765 MS357: Recent Developments in Nonlinear Model Reduction Methods - Part II of II]

* [https://www.wccm-eccomas2020.org 14th WWCM and ECCOMAS Congress 2020], January 11th - 15th, 2021; Paris (France)
** "[https://www.wccm-eccomas2020.org/admin/Files/FileAbstract/a93.pdf MS93: Reduced Order and Surrogate Modeling for Uncertainty Analysis in Structural Mechanics]"
** "[https://www.wccm-eccomas2020.org/admin/Files/FileAbstract/a139.pdf MS139: Advances in Intrusive and Non-Intrusive Order Reduction Techniques for Flow Analysis, Control and Optimization]"
** "[https://www.wccm-eccomas2020.org/admin/Files/FileAbstract/a152.pdf MS152: Model Order Reduction Methods for Parametrized Mechanical Systems]"
** "[https://www.wccm-eccomas2020.org/admin/Files/FileAbstract/a170.pdf MS170: Numerical Model Reduction and Data-Driven Surrogates for Multi-Physics Applications]"
** "[https://www.wccm-eccomas2020.org/admin/Files/FileAbstract/a179.pdf MS179: Numerical Techniques for the Simulations and Model Reduction of Complex Physical Systems]"
** "[https://www.wccm-eccomas2020.org/admin/Files/FileAbstract/a204.pdf MS204: Analysing Parameterised Reduced Order Models]"
** "[https://www.wccm-eccomas2020.org/admin/Files/FileAbstract/a371.pdf MS371: Model Order Reduction for Vibroacoustic Problems]"
** "[https://www.wccm-eccomas2020.org/admin/Files/FileAbstract/a415.pdf MS415: Model Order Reduction for Nonlinear (Time, Space, Parameter) Multiscale Problems and Applications]"
** "[https://www.wccm-eccomas2020.org/admin/Files/FileAbstract/a458.pdf MS458: Coupled Multiphysics Problems and Reduced Order Methods Applied to Compute Digital Twin Models in Industrial Applications]"

=== 2020 ===

* [https://www.mfo.de/occasion/2045a/www_view Banach Center – Oberwolfach Graduate Seminar: Model Reduction and Approximation: Projection-, Tensor- and Data-based Methods], November 1st - 7th, 2020; Bedlewo (Poland) ('''CANCELLED''')

* [https://www.tu-chemnitz.de/mathematik/dmv2020/index.php DMV Annual Meeting], September 14th - 18th, 2020; ('''VIRTUAL''')
** "[https://www.tu-chemnitz.de/mathematik/dmv2020/minisymp.php Model Order Reduction]"

* [https://morss2020.epfl.ch Model Order Reduction Summer School]; September 7th - 10th, 2020; ('''VIRTUAL''')

* [https://www.mpi-magdeburg.mpg.de/csc/events/samm20 SAMM20 - Learning Models from Data: Model Reduction, System Identification and Machine Learning], July 27th - 31st, 2020; ('''VIRTUAL''')

* [https://www.siam.org/conferences/cm/conference/an20 2nd Joint SIAM/CAIMS Annual Meeting], July 6th - 17th, 2020; ('''VIRTUAL''')
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=68897 MS4: Projection-Based Model Order Reduction for Partial Differential Equations - Part I of II]"
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=68898 MS7: Projection-Based Model Order Reduction for Partial Differential Equations - Part II of II]"

* [https://icerm.brown.edu/programs/sp-s20/ Model and dimension reduction in uncertain and dynamic systems], January 27th - May 1st, 2020; Providence (USA)
** [https://icerm.brown.edu/programs/sp-s20/w1/ Mathematics of Reduced Order Models], February 17th - 21st
** [https://icerm.brown.edu/programs/sp-s20/w2/ Algorithms for Dimension and Complexity Reduction], March 23rd - 27th ('''VIRTUAL''')
** [https://icerm.brown.edu/programs/sp-s20/w3/ Computational Statistics and Data-Driven Models], April 20th - 24th ('''VIRTUAL''')

* [https://siam-uq20.ma.tum.de SIAM Conference on Uncertainty Quantification (UQ20)], March 24th - 27th, 2020; Munich (Germany) ('''CANCELLED''')
** "[https://www.events.tum.de/frontend/index.php?page_id=3712&v=List&do=15&day=490&ses=1625# CT20: ROM and Surrogate Models]"
** "[https://www.events.tum.de/frontend/index.php?page_id=3712&v=List&do=15&day=489&ses=1723# MS311: Dynamical low rank and reduced basis methods for random or parametric time dependent problems (Part I of II) ]"
** "[https://www.events.tum.de/frontend/index.php?page_id=3712&v=List&do=15&day=489&ses=1724# MS312: Dynamical low rank and reduced basis methods for random or parametric time dependent problems (Part II of II)]"
** "[https://www.events.tum.de/frontend/index.php?page_id=3712&v=List&do=15&day=490&ses=1717# MS331: Recent Advances in Reduced-Order Models for Many Query and Time-Critical Problems]"
** "[https://www.events.tum.de/frontend/index.php?page_id=3712&v=List&do=15&day=491&ses=1774# MS351: Reduced order methods for uncertainty quantification in CFD parametric problems]"

=== 2019 ===

* [https://mortech2019.sciencesconf.org/ MORTech - 5th International Workshop on Reduced Basis, POD or PGD-Based Model Reduction Technique], November 20th - 22nd, 2019; Paris (France)

* [https://www.tudelft.nl/en/events/2019/dcse/dcse-fall-school-november-4-8-2019-on-reduced-order-modeling-and-uncertainty-quantification/ DCSE Fall School November 4-8, 2019, on "Reduced-Order Modeling and Uncertainty Quantification"] November 4th - 8th, 2019; Delft (Netherlands)

* [https://school.pymor.org/ pyMOR School 2019], October 7th - 11th, 2019; Magdeburg (Germany)

* [https://www.enumath2019.eu ENUMATH 2019], September 30th - October 4th, 2019; Egmond aan Zee (Netherlands)
** "[https://www.enumath2019.eu/program/show_slot/30 MS2: Recent Advances in Model Order Reduction]"
** "[https://www.enumath2019.eu/program/show_slot/76 MS14: Reduced Order Models for parametric PDEs: special focus on time-dependent phenomena and time-harmonic wave problems (Part 1)]"
** "[https://www.enumath2019.eu/program/show_slot/87 MS14: Reduced Order Models for parametric PDEs: special focus on time-dependent phenomena and time-harmonic wave problems (Part 2)]"
** "[https://www.enumath2019.eu/program/show_slot/113 MS18: Model order reduction in optimisation, control, and data assimilation (Part 1)]"
** "[https://www.enumath2019.eu/program/show_slot/124 MS18: Model order reduction in optimisation, control, and data assimilation (Part 2)]"
** "[https://www.enumath2019.eu/program/show_slot/6 MS26: New challenges and opportunities for model order reduction (Part 1)]"
** "[https://www.enumath2019.eu/program/show_slot/17 MS26: New challenges and opportunities for model order reduction (Part 2)]"
** "[https://www.enumath2019.eu/program/show_slot/7 MS29: Low-rank modelling in uncertainty quantification (Part 1)]"
** "[https://www.enumath2019.eu/program/show_slot/18 MS29: Low-rank modelling in uncertainty quantification (Part 2)]"
** "[https://www.enumath2019.eu/program/show_slot/8 MS31: Numerical methods for identification and model reduction of nonlinear systems (Part 1)]"
** "[https://www.enumath2019.eu/program/show_slot/19 MS31: Numerical methods for identification and model reduction of nonlinear systems (Part 2)]"
** "[https://www.enumath2019.eu/program/show_slot/151 MS38: Modeling of reduced order submanifolds in non-linear spaces (Part 1)]"
** "[https://www.enumath2019.eu/program/show_slot/162 MS38: Modeling of reduced order submanifolds in non-linear spaces (Part 2)]"
** "[https://www.enumath2019.eu/program/show_slot/121 Computing and Model Order Reduction (Part 1)]"
** "[https://www.enumath2019.eu/program/show_slot/132 Computing and Model Order Reduction (Part 2)]"

* [https://www.win.tue.nl/~hbansal/morss.html Model Order Reduction Summer School - MORSS], September 23rd - 27th, 2019; Eindhoven (Netherlands)

* [https://congress.cimne.com/complas2019/frontal/default.asp International Conference on Computational Plasticity. Fundamentals and Applications.], September 3rd - 5th, 2019; Barcelona (Spain)
** "[https://congress.cimne.com/complas2019/frontal/ProgramPrint.asp?id=WeM1 Model Order Reduction with Emphasis on Non-linear and Multi-scale Problems I]"
** "[https://congress.cimne.com/complas2019/frontal/ProgramPrint.asp?id=WeE1 Model Order Reduction with Emphasis on Non-linear and Multi-scale Problems II]"

* [https://imsc.uni-graz.at/modred2019 4th Workshop on Model Reduction of Complex Dynamical Systems - MODRED], August 28th - 30th, 2019; Graz (Austria)

* [http://15.usnccm.org US National Congress on Computational Mechanics (USNCCM)], July 28th - 1st August, 2019; Austin (USA)
** "[http://15.usnccm.org/208 Data Assimilation in Model Order Reduction Techniques for Computational Mechanics]"
** "[http://15.usnccm.org/1001 Model Order Reduction for Computational Continuum Mechanics]"

* [https://iciam2019.org International Congress on Industrial and Applied Mathematics], July 15th - 19th, 2019; Valencia (Spain)
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20FT-2-4%201 MS FT-2-4 1: New trends in dimensionality reduction of parametrized and stochastic PDEs - Part 1 of 2]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20FT-2-4%202 MS FT-2-4 2: New trends in dimensionality reduction of parametrized and stochastic PDEs - Part 2 of 2]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20GH-3-3%202 MS GH-3-3 2: Model order reduction methods and their broad applications in engineering - Part 1 of 3]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20GH-3-3%203 MS GH-3-3 3: Model order reduction methods and their broad applications in engineering - Part 2 of 3]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20GH-3-3%204 MS GH-3-3 4: Model order reduction methods and their broad applications in engineering - Part 3 of 3]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20A1-1-1%205 MS A1-1-1 5: Advances in reduced order methods for parameter-dependent problems - Part 1 of 1]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20FE-1-3%205 MS FE-1-3 5: Network based model reduction in large-scale simulations, imaging and data-science - Part 1 of 3]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20FE-1-3%206 MS FE-1-3 6: Network based model reduction in large-scale simulations, imaging and data-science - Part 2 of 3]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20FE-1-3%207 MS FE-1-3 7: Network based model reduction in large-scale simulations, imaging and data-science - Part 3 of 3]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20GH-3-3%205 MS GH-3-3 5: Model Reduction and Coupled Problems in Industry Applications - Part 1 of 2]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20GH-3-3%206 MS GH-3-3 6: Model Reduction and Coupled Problems in Industry Applications - Part 2 of 2]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20FE-1-G%207 MS FE-1-G 7: Model-reduction, randomization, and other techniques for large-scale inversion and UQ - Part 1 of 1]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20FT-2-4%207 MS FT-2-4 7: Reduced Order Modeling for Parametric CFD Problems - Part 1 of 4]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20FT-2-4%208 MS FT-2-4 8: Reduced Order Modeling for Parametric CFD Problems - Part 2 of 4]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20FT-2-4%209 MS FT-2-4 9: Reduced Order Modeling for Parametric CFD Problems - Part 3 of 4]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20FT-2-4%2010 MS FT-2-4 10: Reduced Order Modeling for Parametric CFD Problems - Part 4 of 4]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20GH-0-1%207 MS GH-0-1 7: Reduced-order modeling and data-driven estimation in waves and fluids - Part 1 of 2]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20GH-0-1%208 MS GH-0-1 8: Reduced-order modeling and data-driven estimation in waves and fluids - Part 2 of 2]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20FE-1-G%209 MS FE-1-G 9: Recent Advancements in Model Reduction for Stochastic and Nonlinear Systems - Part 1 of 2]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20FE-1-G%2010 MS FE-1-G 10: Recent Advancements in Model Reduction for Stochastic and Nonlinear Systems - Part 2 of 2]"
* [https://indico.sissa.it/event/34/ Summer School on Reduced Order Methods in Computational Fluid Dynamics], July 8th - 12th, 2019; Trieste (Italy)
* [https://2019.compdyn.org 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering - COMPDYN], June 24th - 26th, 2019; Crete (Greece)
** "MS 5: Surrogate and Reduced-Order Modeling for Stochastic Simulation of Physical Systems"
** "MS 6: Uncertainty Computations with Reduced Order Models and Low-Rank Representations"
** "MS 27: Advances in model reduction techniques in computational structural dynamics"
* [http://modelreduction.net/workshops/7th-international-workshop/ 7th International Workshop on Model Reduction in Reactive Flow (IWMRRF)], June 18th - 21st, 2019; Trondheim (Norway)
* [https://isc.tamu.edu/events/Spring2019/ Spring 2019 Model Reduction Workshop] April 29th, 2019; Houston (USA)
* [https://www.dropbox.com/s/yqqnyxufa36tfdf/EECI-IGSC-2019-Model%20Reduction.pdf?dl=0 Model Reduction for Linear and Nonlinear Systems], April 29th - May 3rd, 2019; London (England)
* [http://www.math.sissa.it/course/phd-course/reduced-order-methods-computational-mechanics Reduced Order Methods for Computational Mechanics], April 15th - 18th, 2019; Trieste (Italy)
* [https://cmsa.fas.harvard.edu/machine-learning/ Machine Learning for Multiscale Model Reduction Workshop], March 27th - 29th, 2019; Cambridge (USA)
* [https://www.siam.org/Conferences/CM/Main/cse19 2019 SIAM Conference on Computational Science and Engineering], February 25th - March 1st, 2019; Spokane (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65932 MS10: Model Reduction, Adaptivity, and High Dimensionality in Uncertainty Quantification - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65933 MS44: Model Reduction, Adaptivity, and High Dimensionality in Uncertainty Quantification - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65806 MS14: Emerging Trends for Structure Preserving Model Order Reduction - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65807 MS49: Emerging Trends for Structure Preserving Model Order Reduction - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65793 MS25: Discovering and Exploiting Low-dimensional Structures in Computational Models - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65794 MS60: Discovering and Exploiting Low-dimensional Structures in Computational Models - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=66052 MS93: Nonlinear Reduced Order Modeling of Realistic Engineering Fluid Flows]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65894 MS112: Recent Advances in Model Reduction and Uncertainty Quantification - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65895 MS145: Recent Advances in Model Reduction and Uncertainty Quantification - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65632 MS119: Model Reduction for Problems with Strong Convection, Sharp Gradients, and Discontinuities - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65633 MS153: Model Reduction for Problems with Strong Convection, Sharp Gradients, and Discontinuities - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65903 MS131: Homogenization and Reduced Order Modelling for Wave Equations - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65904 MS165: Homogenization and Reduced Order Modelling for Wave Equations - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=66036 MS188: Reduced Order Modeling for Parametric CFD Problems- Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=66037 MS221: Reduced Order Modeling for Parametric CFD Problems - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65744 MS191: New Challenges and Opportunities for Model Order Reduction - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65745 MS225: New Challenges and Opportunities for Model Order Reduction - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65757 MS243: Reduced Order Models for Fluids: Achievements and Open Problems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65758 MS276: Reduced Order Models for Fluids: Achievements and Open Problems - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65898 MS267: Model Reduction and Reduced-order Modeling of Dynamical Systems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65899 MS301: Model Reduction and Reduced-order Modeling of Dynamical Systems - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=66160 MS308: Data-driven and Mathematical Model Reductions for Combustion System Simulation and Design]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=66143 MS316: Rational Approximation and its Applications]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65578 MS343: Data-augmented Reduced-order Modeling: Operator Learning and Closure/error Modeling - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65579 MS376: Data-augmented Reduced-order Modeling: Operator Learning and Closure/error Modeling - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65662 MS352: Recent Developments in Model Order Reduction Methods - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65663 MS384: Recent Developments in Model Order Reduction Methods - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=66087 MS361: Structure-exploiting Techniques for Approximation, Inference and Control of Complex Systems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=66088 MS393: Structure-exploiting Techniques for Approximation, Inference and Control of Complex Systems - Part II of II]"

=== 2018 ===

* [http://meetings.aps.org/Meeting/DFD18/Content/3571 71st Annual Meeting of the APS Division of Fluid Dynamics], November 18th - 20th, 2018; Atlanta (USA)
** "[http://meetings.aps.org/Meeting/DFD18/Session/A01 Session A01: Nonlinear Dynamics: Model Reduction I]"
** "[http://meetings.aps.org/Meeting/DFD18/Session/F15 Session F15: Flow Control: Coherent Structures and Reduced Order Modeling]"
** "[http://meetings.aps.org/Meeting/DFD18/Session/Q01 Session Q01: Nonlinear Dynamics: Model Reduction II]"

* [https://www.math.uni-hamburg.de/morss2018/ Model Order Reduction Summer School], September 24th - 28th, 2018; Hamburg (Germany)

* [https://alop.uni-trier.de/eucco2018 5th European Conference on Computational Optimization - EUCCO 2018], September 10th - 12th; Trier (Germany)
** "Focus Session: Model order reduction and low-rank approximation for nonlinear problems"

* Minisymposium at [https://sim.mathematik.uni-halle.de/numdiff/Numdiff15/home NumDiff 15], September 3rd - 7th, 2018; Halle (Germany)
** "Model order reduction for dynamical systems"

* [http://597.euromech.org/ Colloquium 597 Reduced Order Modeling in Mechanics of Materials], August 28th - 31st, 2018; Bad Herrenalb (Germany)

* Minisymposia at "[http://www.wccm2018.org/ 13th World Congress in Computational Mechanics]", July 22nd - 27th, 2018; New York (USA)
** "[http://www.wccm2018.org/MS_715 MS715: Reduced Order Methods for Parametric CFD Problems]"
** "[http://www.wccm2018.org/MS_1802 MS1802: Model Reduction, Big Data and Dynamic Data-Driven Systems]"
** "[http://www.wccm2018.org/MS_1804 MS1804: Machine Learning and Reduced-order Models for Complex Systems]"

* Minisymposia at "[http://ecmi.bolyai.hu/ The 20th European Conference on Mathematics for Industry]", June 18th - 22nd, 2018; Budapest (Hungary)
** "MS35: Reduced Order Modelling for Industrial and Scientific Applications"

* Sessions at the [http://www.ecc18.eu/ European Control Conference 2018] June 12th - 15th, 2018; Limassol (Cyprus)
** [https://controls.papercept.net/conferences/conferences/ECC18/program/ECC18_ContentListWeb_4.html#fra3 Model Reduction and Control in Large-Scale Networks]
** [https://controls.papercept.net/conferences/conferences/ECC18/program/ECC18_ContentListWeb_4.html#frb3 Model and Order Reduction I]
** [https://controls.papercept.net/conferences/conferences/ECC18/program/ECC18_ContentListWeb_4.html#frc3 Model and Order Reduction II]

* Minisymposia at "[http://www.eccm-ecfd2018.org ECCM-ECFD 2018]", June 11th - 15th, 2018; Glasgow (Scotland)
** "[http://www.eccm-ecfd2018.org/admin/Files/FileAbstract/a48.pdf MS48: Model reduction, big data and dynamic data-driven systems]"
** "[http://www.eccm-ecfd2018.org/admin/Files/FileAbstract/a126.pdf MS126: Reduced order modeling with error control and adaptivity]"
** "[http://www.eccm-ecfd2018.org/admin/Files/FileAbstract/a130.pdf MS130: Advances in reduced basis techniques for flow problems in analysis, control and optimization]"
** "[http://www.eccm-ecfd2018.org/admin/Files/FileAbstract/a149.pdf MS149: Model order reduction for multiscale problems in geo-engineering]"
** "[http://www.eccm-ecfd2018.org/admin/Files/FileAbstract/a170.pdf MS170: Reduced order modeling for uncertainty quantification in subsurface flow problems]"
** "[http://www.eccm-ecfd2018.org/admin/Files/FileAbstract/a192.pdf MS192: Developments in reduced-order modelling of the cardiovascular system -- methods and applications.]"

* "[http://www.itm.uni-stuttgart.de/iutam2018/ IUTAM Symposium on Model Order Reduction for Coupled Systems (MORCOS18)]" May 22nd - 25th, 2018; Stuttgart (Germany)

* "[https://sites.google.com/view/rom4cvs Workshop on Reduced Models for the Cardiovascular Systems]" April 26th - 27th, 2018; Atlanta (USA)

* Sessions at "[http://www.siam.org/meetings/uq18/ SIAM Conference on Uncertainty Quantification 2018]" April 16th - 20th, 2018; Garden Grove (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=63738 MS5 - Model reduction and fast sampling methods for Bayesian inference - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=63739 MS18 - Model reduction and fast sampling methods for Bayesian inference - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=63731 MS54 - Dimension reduction in Bayesian inference - Part I of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=63732 MS67 - Dimension reduction in Bayesian inference - Part II of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=63733 MS80 - Dimension reduction in Bayesian inference - Part III of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=63754 MS39 - recent advances in model reduction and data-enabled modeling - Part I of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=63755 MS53 - recent advances in model reduction and data-enabled modeling - Part II of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=63756 MS66 - recent advances in model reduction and data-enabled modeling - Part III of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=63821 MS75 - Reduced Order Modeling for Uncertainty Quantification Targeting Exascale Computing Applications]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=63791 MS79 - Reduced-order modeling techniques for large-scale UQ problems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=63792 MS93 - Reduced-order modeling techniques for large-scale UQ problems - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=63817 MS106 - Advances in Reduced Order Modeling for Uncertainty Quantification - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=63818 MS119 - Advances in Reduced Order Modeling for Uncertainty Quantification - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=64390 CP2 - Reduced-order Modeling and Dynamical Systems I]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=64404 CP13 - Reduced-order Modeling and Dynamical Systems II]"
* "[http://morepas2018.sciencesconf.org MoRePaS 2018 - Model Reduction of Parametrized Systems IV]" April 9th - 13th, 2018; Nantes (France)
* "[http://www.newton.ac.uk/event/unqw03 Reducing dimensions and cost for UQ in complex systems]" March 5th - 9th, 2018; Cambridge (UK)
* Minisymposium at [http://www.mathmod.at/ 9th MathMod] February 21st - 23rd, 2018; Vienna (Austria)
** "Model Reduction"
* "[https://sisu.ut.ee/eu_mornet/node/17747 EU-MORNET Workshop]" February 8th - 9th, 2018; Tartu (Estonia)
* "[http://www.jade-hs.de/unsere-hochschule/fachbereiche/ingenieurwissenschaften/forschung-und-praxis/modellierung-und-simulation-mechatronischer-systeme/february-2nd-2018-eu-mornet-workshop-mor-4-mechatronics/ MOR 4 MECHATRONICS]" February 2nd, 2018; Wilhemshaven (Germany

=== 2017 ===

* [http://math.lbl.gov/~mjzahr/wcrw2017/ West Coast ROM Workshop], November 17th, 2017; Berkeley (USA)
* "[http://www.imus.us.es/IWROM4/ MORTech 2017]" November 8th - 10th; Seville (Spain)
* "[http://www.math.rug.nl/gcsc/morschool.html Groningen Autumn School on Model Order Reduction]" October 30th - November 1st, 2017; Groningen (Netherlands)
* Minisymposia at [http://www.uib.no/en/enumath2017 ENUMATH 2017] September 25th - 29th, 2017; Voss (Norway)
** "[http://www.uib.no/en/enumath2017/98144/minisymposia MS10 - Reduced order models for time-dependent problems]"
** "[http://www.uib.no/en/enumath2017/98144/minisymposia MS28 - Model reduction methods for simulation and (optimal) control]"
* "[http://scale-freeback.eu/grenoble-workshop-2017/ Modelling Reduction Tools for Large Scale Complex Networks]" September 21st - 22nd, 2017; Grenoble (France)
* "[http://www.rbss2017.de Reduced Basis (and Friends) Summer School 2017]" September 19th - 22nd, 2017; Goslar (Germany)
* "[http://www.gipsa-lab.fr/summerschool/auto2017/ Approximation of Large-Scale Dynamical Models]" September 11th - 15th, 2017; Grenoble (France)
* "[http://www.rt.mw.tum.de/workshops-seminare/2-mor-doktoranden-workshop/ 2. MOR Doktoranden-Workshop]" September 6th - 8th, 2017; Munich (Germany)
* "[http://www.maths.dur.ac.uk/lms/107/index.html EPSRC Durham Symposium Model Order Reduction]" August 7th - 17th, 2017; Durham (UK)
* "[http://modelreduction.net/workshops/6th-international-workshop 6th International Workshop on Model Reduction in Reacting Flows]" July 11th - 14th, 2017; Princeton (USA)
* "[http://www.siam.org/meetings/dr17/ SIAM Workshop on Parameter Space Dimension Reduction (DR17)]" July 9th - 10th, 2017; Pittsburgh (USA)
* "[https://www.math.vt.edu/GFD_conference2017/ Conference on Classical and Geophysical Fluid Dynamics: Modeling, Reduction and Simulation]" June 26th - 28th, 2017; Blacksburg (USA)
* Session at [http://acc2017.a2c2.org/ American Control Conference] May 24th - 26th, 2017; Seattle (USA)
** "[https://css.paperplaza.net/conferences/scripts/rtf/2017ACC_ContentListWeb_3.html#thc05 Reduced Order Modeling]"
* "[http://eumornetlux.weebly.com/ 2nd Exploratory Workshop on Applications of Model Order Reduction Methods in Industrial Research and Development]" March 10th, 2017; Luxembourg (Luxembourg)
* "[http://www.eu-mor.net/model-reduction-course-hydra/ Model Reduction Course HYDRA]" March 6th - 9th, 2017; Eindhoven (Netherlands)
* Minisymposia at [http://www.siam.org/meetings/cse17/ SIAM CSE'17] February 27th, 2017; Atlanta (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=60778 MS8 - Smooth, Reduced, Sparse -- Exploiting Structures for Surrogate Modeling in CSE - Part I of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=60779 MS37 - Smooth, Reduced, Sparse -- Exploiting Structures for Surrogate Modeling in CSE- Part II of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=60819 MS66 - Smooth, Reduced, Sparse -- Exploiting Structures for Surrogate Modeling in CSE - Part III of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=60968 MS75 - Model Reduction Software: Nonlinear Problems and Data-Driven Solutions]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=61076 MS106 - Reduced Order Models for Fluids: Achievements and Open Problems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=61077 MS133 - Reduced Order Models for Fluids: Achievements and Open Problems - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=61078 MS161 - Reduced Order Models for Fluids: Achievements and Open Problems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=61079 MS188 - Reduced Order Models for Fluids: Achievements and Open Problems - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=60854 MS107 - Model Order Reduction: Perspectives from Junior Researchers - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=61077 MS134 - Model Order Reduction: Perspectives from Junior Researchers - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=61070 MS145 - Reduced Order Modeling Techniques in Large Scale & Data-Driven PDE Problems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=61071 MS172 - Reduced Order Modeling Techniques in Large Scale & Data-Driven PDE Problems - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=60909 MS162 - Model Reduction for Optimal Control Problems: Perspectives from Junior Researchers - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=60910 MS189 - Model Reduction for Optimal Control Problems: Perspectives from Junior Researchers - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=61275 MS313 - Model and Solution Reduction Methods in Computational Mechanics: Challenges and Perspectives]"
* "[http://www.hda2017.unsw.edu.au 7th Workshop on High-Dimensional Approximation]" February 13th - 17th, 2017; Sydney (Australia)
* "[http://matperso.mines-paristech.fr/Personnel/david.ryckelynck Doctoral Workshop on Model Reduction in Nonlinear Mechanics]" February 13th - 17th, 2017; Paris (France)
* "[http://www.mpi-magdeburg.mpg.de/csc/events/modred2017 3rd Workshop on Model Reduction of Complex Dynamical Systems]" January 11th - 13th, 2017; Odense (Denmark)

=== 2016 ===

* "[http://www.komso.org/events/challenge-workshops/reduced-order-modeling-simulation-and-optimization-powerful-algorithms Reduced-Order Modeling for Simulation and Optimization: Powerful Algorithms as Key Enablers for Scientific Computing]" November 17th - 18th; Renningen (Germany)
* Workshop "[http://www.ihp.fr/en/CEB/T3-2016/workshop2 Recent developments in numerical methods for model reduction]" November 7th - 10th, 2016; Paris (France)
* "[http://www.mpi-magdeburg.mpg.de/3104866/RBSS2016 Reduced Basis Summer School 2016]" October 4th - 7th, 2016; Hedersleben (Germany)
* Workshop on "[http://www.eventbrite.it/e/reduced-order-modelling-and-multi-physics-coupling-for-reactor-applications-registration-24511634960 Reduced Order Modelling and Multiphysics Coupling for Rector Application]" September 30th, 2016; Milano (Italy)
* "[http://alop.uni-trier.de/event/alop-workshop-reduced-order-models-in-optimization/ ALOP Workshop: Reduced Order Models in Optimization] September 26th - 28th, 2016; Trier (Germany)
* "[http://www.mathos.unios.hr/index.php/443 Workshop on Model Reduction Methods and Optimization]" September 20th - 21st, 2016; Opatija (Croatia)
* "[http://www.mechbau.uni-stuttgart.de/EMMA/worm2016 3rd International Workshop on Order-Reduction Methods for Mechanics of Materials]" August 29th - 31st, 2016; Bad Herrenalb (Germany)
* Sessions at [http://www.siam.org/meetings/an16/ SIAM Annual Meeting 2016] 11th - 15, 2016; Boston (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=23289 MS32 - Reduced Order Modeling Techniques in Uncertainty Quantification - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=23290 MS46 - Reduced Order Modeling Techniques in Uncertainty Quantification - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=23600 MS70 - Model Reduction and Krylov-Subspace Methods]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=23394 MS71 - Model Reduction for Inverse Problems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=23395 MS87 - Model Reduction for Inverse Problems - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=23453 MS103 - Model Reduction for Wavefield Simulations - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=23454 MS118 - Model Reduction for Wavefield Simulations - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=23099 MS104 - Model Reduction of Parametrized PDEs in Continuum Mechanics - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=23100 MS119 - Model Reduction of Parametrized PDEs in Continuum Mechanics - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=23146 MS137 - Model Reduction of Parametrized PDEs: Application to Optimization and Uncertainty Quantification]"
* Minisymposium "[http://ilas2016.cs.kuleuven.be/minisymposium.php?sid=41 Data-Driven Model Reduction]" at ILAS July 11th - 15th, 2016; Leuven (Belgium)
* Sessions at [http://sites.google.com/a/umn.edu/mtns-2016/ 22nd International Symposium on Mathematical Theory of Networks and Systems], July 11th - 15th, 2016; Minnesota (USA)
** "[http://controls.papercept.net/conferences/conferences/MTNS16/program/MTNS16_ContentListWeb_1.html#tua06 Model Reduction I]"
** "[http://controls.papercept.net/conferences/conferences/MTNS16/program/MTNS16_ContentListWeb_1.html#tub06 Model Reduction II]"
* Session at [http://ecc16.eu European Control conference 2016], June 29th - July 1st, 2016; Aalborg (Denmark)
** "[http://controls.papercept.net/conferences/conferences/ECC16/program/ECC16_ContentListWeb_4.html#fra6 Model Reduction]"
* Seminar "[http://www.aices.rwth-aachen.de/news-events/eu-regional-school/eu-regional-school-2016/courses/heinkenschloss-seminar Model Reduction in PDE Constrained Optimization]" at EU Regional School, June 14th - 15th, 2016; Aachen (Germany)
* Minisymposium "Reduced Basis, POD and PGD Model Order Reduction Techniques" at [http://www.eccomas2016.org ECCOMAS Congress 2016] June 5th - 10th, 2016; Crete Island (Greece)
* Workshop on "[http://www.eu-mor.net/workshop-model-order-reduction-control-inverse-problems-morcip-2016/ Model Order Reduction for Control and Inverse Problems (MORCIP)]" May 19th - 20th, 2016; Lausanne (Switzerland)
* Spring School "[http://www.ercoftac.org/events/ercoftac_montestigliano_spring_school_2016/ Reduced-order models for non-linear dynamics in fluid flows]" May 17th - 23rd, 2016; Siena (Italy)
* Sessions at [http://www.siam.org/meetings/uq16/ SIAM Conference on Uncertainty Quantification] April 5th - 8th, 2016; Lausanne (Switzerland)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=21926 MS13 - Reduced Order Modelling for UQ PDEs Problems: Optimization, Control, Data Assimilation - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=21927 MS28 - Reduced Order Modelling for UQ PDEs Problems: Optimization, Control, Data Assimilation - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=22194 MS89 - Reduced-order Modeling in Uncertainty Quantification - Part I of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=22195 MS104 - Reduced-order Modeling in Uncertainty Quantification - Part II of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=22196 MS119 - Reduced-order Modeling in Uncertainty Quantification - Part III of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=22362 MS149 - Model Reduction in Stochastic Dynamical Systems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=22363 MS164 - Model Reduction in Stochastic Dynamical Systems - Part II of II]"
* Workshop "[http://www.ians.uni-stuttgart.de/agh/misc/events/morml2016/index.html Data-Driven Model Order Reduction and Machine Learning (MORML 2016)]" March 30th - April 1st, 2016; University of Stuttgart (Germany)
* Symposium "[http://www.humboldt-foundation.de/web/gafos-2016-sessions.html Model Reduction for Complex Systems]" at [http://www.humboldt-foundation.de/web/gafos-2016.html 20th German-American Symposium] March 10th - 13th, 2016; Potsdam (Germany)
* "Doctoral Workshop on Model Reduction in nonlinear dynamics of fluids and structures" January 25th - 29th, 2016; Paris (France)

=== 2015 ===

* West Coast ROM Workshop, November 19th, 2015; Livermore (USA)
* [http://sites.google.com/site/mor4mems2015/ MOR 4 MEMS] November 17th - 18th, 2015; Karlsruhe (Germany). [http://www2.mpi-magdeburg.mpg.de/mpcsc/events/MOR4MEMS2015/ Here] you find the presentation slides.
* [http://rom2015.sciencesconf.org Reduced Basis, POD and PGD Model Reduction Techniques] November 4th - 6th, 2015; Cachan (France)
* [http://eumornetlux.weebly.com/ Exploratory Workshop on Applications of Model Order Reduction Methods in Industrial Research and Development] November 6th, 2015; Luxembourg (Luxembourg)
* [http://indico.sissa.it/event/4/ MoRePaS III] October 13th - 16th, 2015; Trieste (Italy)
* [http://www.mathos.unios.hr/index.php/351 3rd International School on Model Reduction for Dynamical Control Systems] October 5th - 10th, 2015; Dubrovnik (Croatia)
* Minisymposium "[http://enumath2015.iam.metu.edu.tr/minisymposia20.html Local and adaptive model reduction for partial differential equations]" at [http://enumath2015.iam.metu.edu.tr ENuMath] September 14th - 18th, 2015; Ankara (Turkey)
* Minisymposium "[http://scicade2015.math.uni-potsdam.de/scicade2015/minisymposiadetails.html#MS34 Parametric Model Order Reduction: Challenges and Solutions]" at [http://scicade2015.math.uni-potsdam.de SciCADE] September 14th - 18th, 2015; Potsdam (Germany)
* [http://www.math.uni-konstanz.de/numerik/pod/rbss_2015/ Reduced Basis Summer School 2015] September 14th - 18th, 2015; Konstanz (Germany)
* [http://www.cs.cas.cz/more2015/index.php Workshop on MOdel REduction] September 6th - 10th, 2015; Pilsen (Czech Republic)
* Session at [http://www.iciam2015.cn 8th International Congresson Industrial and Applied Mathematics] August 10th - 14th, 2015; Beijing (China)
** "[http://www.iciam2015.cn/ICIAM%202015-program.pdf#MS-Mo-D-32.88 MS-Mo-D-32 - Reduced-order modeling in uncertainty quantification and computational fluiddynamics - Part I of III]"
** "[http://www.iciam2015.cn/ICIAM%202015-program.pdf#MS-Mo-E-32.aD MS-Mo-E-32 - Reduced-order modeling in uncertainty quantification and computational fluiddynamics - Part II of III]"
** "[http://www.iciam2015.cn/ICIAM%202015-program.pdf#MS-We-E-03.cC MS-We-E-03 - Reduced-order modeling in uncertainty quantification and computational fluiddynamics - Part III of III]"
** "[http://www.iciam2015.cn/ICIAM%202015-program.pdf#MS-We-E-55.XZ MS-We-E-55 - New advances in model order reduction: methods, algorithms, and applications - Part I of II]"
** "[http://www.iciam2015.cn/ICIAM%202015-program.pdf#MS-Th-BC-55.A6 MS-Th-BC-55 - New advances in model order reduction: methods, algorithms, and applications - Part II of II]"
** "[http://www.iciam2015.cn/ICIAM%202015-program.pdf#MS-Tu-E-14.1F MS-Tu-E-14 - Optimality in reduced order modeling and inversion - Part I of II]"
** "[http://www.iciam2015.cn/ICIAM%202015-program.pdf#MS-We-D-14.l1 MS-We-D-14 - Optimality in reduced order modeling and inversion - Part II of II]"
* Reduced Order Methods Session at [http://www.yic.rwth-aachen.de/ YIC GACM ACCCES] July 20th - 23rd; Aachen (Germany)
* Session at [https://desreg.jku.at/ecc15/ European Control Conference 2015] July 15th -17th, 2015; Linz (Austria)
** "[http://controls.papercept.net/conferences/conferences/ECC15/program/ECC15_ContentListWeb_2.html#wea11 Model Reduction I]"
** "[http://controls.papercept.net/conferences/conferences/ECC15/program/ECC15_ContentListWeb_2.html#wec11 Model Reduction II]"
* [http://modelreduction.net/workshops/5th-annual 5th International Workshop on Model Reduction in Reacting Flows] June 28th - July 1st; Spreewald (Germany)
* [http://www3.math.tu-berlin.de/numerik/MoRTransPhen/ Model Reduction for Transport Dominated Phenomena] May 19th - 20th; Berlin (Germany)
* International Symposium: [http://www.tum-ias.de/bigdata2015/program.html Big Data and Predictive Computational Modelling] May 18th - 21st, 2015; München (Germany)
* Minisymposia at [http://www.siam.org/meetings/cse15 SIAM Conference on Computational Science and Engineering] March 14th - 18th, 2015; Salt Lake City (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=20081 MS4 - Adaptive Model Order Reduction - Part I of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=20082 MS30 - Adaptive Model Order Reduction - Part II of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=20083 MS55 - Adaptive Model Order Reduction - Part III of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=20296 MS91 - Parametric Model Reduction and Inverse Problems - Part I of IV]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=20297 MS116 - Parametric Model Reduction and Inverse Problems - Part II of IV]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=20300 MS143 - Parametric Model Reduction and Inverse Problems - Part III of IV]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=20301 MS169 - Parametric Model Reduction and Inverse Problems - Part IV of IV]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=19988 MS148 - Reduced-order Models for PDE-constrained Optimization Problems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=19989 MS174 - Reduced-order Models for PDE-constrained Optimization Problems - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=19907 MS187 - Recent Advances in Model Reduction - Part I of V]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=19908 MS211 - Recent Advances in Model Reduction - Part II of V]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=19960 MS236 - Recent Advances in Model Reduction - Part III of V]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=19961 MS260 - Recent Advances in Model Reduction - Part IV of V]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=19962 MS285 - Recent Advances in Model Reduction - Part V of V]"
* Session at [http://www.mathmod.at Vienna Conference on Mathematical Modelling (MathMod)] February 18th - 20th, 2015; Vienna (Austria)
** "Model Reduction"
* [http://congress.cimne.com/mor/frontal/objectives.asp Short Course on Model Order Reduction] January 26th - 29th, 2015; Barcelona (Spain)

=== 2014 ===
* [http://www.mfo.de/occasion/1448b/www_view Oberwolfach Seminar on Projection Based Model Reduction] November 23rd - 29th, 2014; Oberwolfach (Germany)
* [http://eu-mor.net EU-MORNET] Kick-Off Meeting September 18th - 19th; Eindhoven (Netherlands)
* [http://www2.le.ac.uk/departments/mathematics/extranet/conferences/model-reduction-across-disciplines Model reduction across disciplines] August 19th - 22nd, 2014; Leicester (United Kingdom)
* [http://wwwmath.uni-muenster.de/rbss2014 Reduced Basis Summer School 2014] August 18th - 22nd, 2014; Muenster (Germany)
* Bay Area ROM Workshop, August 7th, 2014; Livermore (USA)

* Minisymposia at [http://www.wccm-eccm-ecfd2014.org IACM-ECCOMAS 2014] July 20th - 25th, 2014; Barcelona (Spain)
** "[http://congress.cimne.com/iacm-eccomas2014/admin/Files/FileAbstract/a239.pdf MS239: Multibody System Dynamics and Modal Reduction]"
** "[http://congress.cimne.com/iacm-eccomas2014/admin/Files/FileAbstract/a15.pdf MS015: Reduced Basis, POD and PGD Model Reduction Techniques]"
** "[http://congress.cimne.com/iacm-eccomas2014/admin/Files/FileAbstract/a141.pdf MS141: Reduced Order Models in Vibroacoustics]"
** "[http://congress.cimne.com/iacm-eccomas2014/admin/Files/FileAbstract/a69.pdf MS069: Advanced Reduced-order Modeling Strategies for Parametrized PDEs and Applications]"

* Session at [http://www.siam.org/meetings/an14/ SIAM Annual Meeting 2014], July 7th - 11th; Chicago (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=19618 CP1 - Reduced Order Models]"
* Sessions at the [http://ecc14.eu European Control Conference 2014] June 24th- 27th, 2014; Strasbourg (France)
** "[https://controls.papercept.net/conferences/conferences/ECC14/program/ECC14_ContentListWeb_3.html#tha2 Model and Controller Reduction I]"
** "[https://controls.papercept.net/conferences/conferences/ECC14/program/ECC14_ContentListWeb_4.html#frc2 Model and Controller Reduction II]"
* Session at [http://acc2014.a2c2.org/ American Control Conference] June 4th - 6th, 2014; Portland (USA)
** "[https://css.paperplaza.net/conferences/conferences/2014ACC/program/2014ACC_ContentListWeb_1.html#wea04 Reduced Order Modeling]"
* Sessions at [http://siam.org/meetings/uq14/ SIAM Conference on Uncertainty Quantification] March 31st - April 3rd; Savannah (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=18137 MS10 - Model-Reduction Techniques for Quantifying and Controlling Uncertainty]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=18298 MT3 - Reduced Order Methods for Modelling and Computational Reduction in UQ Problems]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=18664 CP11 - Reduced-order Modeling]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=18192 MS67 - Surrogate and Reduced Order Modeling for Statistical Inversion and Prediction - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=18193 MS77 - Surrogate and Reduced Order Modeling for Statistical Inversion and Prediction - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=17858 MS87 - Uncertainty Quantification via Dimension Reduction: Deterministic and Stochastic Approaches]"
* [http://jahrestagung.gamm-ev.de/index.php/scientific-program/minisymposia Parametric Model Reduction of Dynamical Systems] Minisymposium at the [http://jahrestagung.gamm-ev.de/ GAMM annual meeting 2014] March 10th - 14th, 2014; Erlangen (Germany)

===2013===
* [http://www2.mpi-magdeburg.mpg.de/mpcsc/events/ModRed/2013/ ModRed 2013] December 11th - 13th, 2013; Magdeburg (Germany)
* [http://www.mathos.unios.hr/locschool2013/ DAAD International School on Linear Optimal Control of Dynamic Systems] September 23rd - 28th; Osijek (Croatia)
* [http://www.ma.tum.de/IGDK1754/SummerSchool2013 Summerschool "Reduced Basis Methods - Fundamentals and Applications"] September 16th - 19th; Munich (Germany)
* Reduced Basis Summer School 2013 August, 2013; Aachen (Germany)
* [http://enumath2013.epfl.ch Enumath] Minisymposium "Reduced order modelling for the simulation of complex systems" August 26th - 30th, 2013, Lausanne (Switzerland)
* Sessions at the [http://www.ecc13.ethz.ch European control Conference 2013] July 17th - 19th, 2013; Zurich (Switzerland)
** "[https://controls.papercept.net/conferences/conferences/ECC13/program/ECC13_ContentListWeb_4.html#fra12 Reduced Order Systems]"
** "[https://controls.papercept.net/conferences/conferences/ECC13/program/ECC13_ContentListWeb_4.html#frc12 Model Reduction]"
* [http://modelreduction.net/workshops/4th-annual 4th International Workshop on Model Reduction in Reacting Flows] June 19th - 21st, 2013, San Francisco (USA)
* Sessions at [http://acc2013.a2c2.org American Control Conference] June 17th - 19th, 2013; Washington D.C. (USA)
** "[https://css.paperplaza.net/conferences/conferences/2013ACC/program/2013ACC_ContentListWeb_3.html#web05 Reduced-Order Modeling]"
* [http://modredcirm2013.uni-muenster.de/ CIRM workshop Model Reduction and Approximation for Complex Systems] June 10th - 14th, 2013; Marseille (France)
* [http://www.tapir.caltech.edu/~rom-gr/ Reduced Order Modelling in General Relativity] June 6th - 7th, 2013; Pasadena (USA)
* Sessions at the [http://www.siam.org/meetings/cse13 SIAM Conference on Computational Science and Engineering] February 25th - March 1st; Boston (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15551 MS20 - Structure-preserving Model Order Reduction of Large-scale Dynamical Systems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15552 MS40 - Structure-preserving Model Order Reduction of Large-scale Dynamical Systems - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15728 MS14 - Model Reduction and Surrogate Modeling Advances in Porous Media Flow Simulation and Optimization - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15729 MS34 - Model Reduction and Surrogate Modeling Advances in Porous Media Flow Simulation and Optimization - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15547 MS104 - Data-Driven Model Reduction - Part I of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15548 MS138 - Data-Driven Model Reduction - Part II of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15549 MS194 - Data-Driven Model Reduction - Part III of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15676 MS144 - Nonlinear Model Reduction of Complex Flows: Modeling, Analysis, and Computations - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15677 MS182 - Nonlinear Model Reduction of Complex Flows: Modeling, Analysis, and Computations - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15639 MS45 - Data Driven and Nonliner Model Reduction - Parts I of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15640 MS68 - Data Driven and Nonliner Model Reduction - Parts II of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15641 MS116 - Data Driven and Nonliner Model Reduction - Parts III of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15422 MS95 - Reduced Order Modelling for Complex Systems in CFD - Part I of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15423 MS164 - Reduced Order Modelling for Complex Systems in CFD - Part II of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15424 MS244 - Reduced Order Modelling for Complex Systems in CFD - Part III of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15758 MS219 - Model Order Reduction: Recent Advances and Challenges - Part I of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15759 MS257 - Model Order Reduction: Recent Advances and Challenges - Part II of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15760 MS272 - Model Order Reduction: Recent Advances and Challenges - Part III of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15952 CP12 - Model Reduction and Data-Driven Approaches]"

===2012===
* [http://www.morepas.org/workshop2012/index.html MoRePaS 2] October 2nd - 5th, 2012; Günzburg (Germany)
* [http://www.mathematik.uni-stuttgart.de/fak8/ians/lehrstuhl/agh/misc/events/rbm_workshop_2012.html Reduced Basis Summer School 2012] August 28th - 31st; Stuttgart (Germany)
* [http://www.math.uni-hamburg.de/moa/ Workshop on Adaptivity and Model Order Reduction in PDE Constrained Optimization] July 23rd - 27th; Hamburg (Germany)
* Sessions at [http://acc2012.a2c2.org/ American Control Conference] June 27th - 29th, 2012; Montreal (Canada)
** "[https://css.paperplaza.net/conferences/conferences/2012ACC/program/2012ACC_ContentListWeb_1.html#wec20 Reduced Order Modeling]"
* [https://www.cecam.org/workshop-2-681.html Reduced Basis, POD and Reduced Order Methods for model and computational reduction: towards real-time computing and visualization?] May 14 - 16th; Lausanne (Switzerland)
* [https://www2.mpi-magdeburg.mpg.de/mpcsc/news/program_tegernsee.pdf Workshop on Nonlinear MOR] May 6th - 9th; Tegernsee (Germany)
* Minisymposia at [http://siam.org/meetings/uq12/ SIAM Conference on Uncertaity Quantification] April 2nd - 6th; Raleigh (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=14305 MS58 - Model Reduction for Nonlinear Dynamical Systems]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=14520 MS80 - Reduced Order Modeling for High Dimensional Nonlinear Models]"

===2011===
* [http://www.math.uni-konstanz.de/numerik/pod/workshop Advances in POD and RB Model-Order Reduction] November 21st, 2011; Konstanz (Germany)
* [http://www.uni-ulm.de/mawi/mawi-numerik/aktuelles/summer-school-rbm.html Reduced Basis Summer School 2011] October 25th - 28th; Ulm (Germany)
* [http://www2.mpi-magdeburg.mpg.de/mpcsc/events/trogir/ Summer School on Numerical Linear Algebra for Dynamical and High-Dimensional Problems] October 10th - 15th; Trogir (Croatia)
* [http://www.math.uni-bremen.de/zetem/cms/detail.php?template=gamm_parse_title&person=gamm11/program GAMM Workshop Applied and Numerical Linear Algebra with Special Emphasis on Model Reduction] September 21st - 22nd; Bremen (Germany)
* Sessions at [http://iciam.org/event/iciam-2011-%E2%80%93-vancouver 7th International Congress on Industrial and Applied Mathematics] July 18th - 22nd; Vancouver (Canada)
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=11230 MS38 - Optimal Parameter Sampling in Model Reduction - Part I of III]"
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=11231 MS87 - Optimal Parameter Sampling in Model Reduction - Part II of III]"
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=11232 MS136 - Optimal Parameter Sampling in Model Reduction - Part III of III]"
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=11296 MS148 - Structure-Preserving Model Reduction - Part I of III]"
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=11297 MS199 - Structure-Preserving Model Reduction - Part II of III]"
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=11298 MS256 - Structure-Preserving Model Reduction - Part III of III]"
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=11452 MS340 - Dynamical Systems Approaches to Model Reduction -- Part I of II]"
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=12051 MS388 - Dynamical Systems Approaches to Model Reduction -- Part II of II]"
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=11877 MS363 - Reduced Basis Methods and their Applications - Part I of IV]"
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=11878 MS416 - Reduced Basis Methods and their Applications - Part II of IV]"
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=11879 MS462 - Reduced Basis Methods and their Applications - Part III of IV]"
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=11880 MS511 - Reduced Basis Methods and their Applications - Part IV of IV]"
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=13350 CP36 - Reduced Order Models]"
* [http://www.modelreduction.net/iwmrrf2011/site/ 3rd International Workshop on Model Reduction in Reacting Flows] April 27th - 29th; Corfu (Greece)
* Session at the [http://siam.org/meetings/cse11 SIAM Conference on Computational Science and Engineering] February 28th - March 4th; Reno (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=10982 MS18 - Model Reduction of Nonlinear and Parametrized Systems - Part I of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=10983 MS26 - Model Reduction of Nonlinear and Parametrized Systems - Part II of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=10984 MS40 - Model Reduction of Nonlinear and Parametrized Systems - Part III of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=11497 MS39 - Model Order Reduction Using Graph Theory and Numerical Linear Algebra]"
* [http://www.wias-berlin.de/workshops/MOR2011/ Workshop on Model Order Reduction in Optimization and Control with PDEs] January 26th - 28th; Berlin (Germany)

===2010===
* [http://www.ians.uni-stuttgart.de/MoRePaS/events/Ulm10/index.html Workshop on RB Methods] December 7th - 8th, 2010; Ulm (Germany)
* [http://www3.math.tu-berlin.de/modred2010/ ModRed 2010] December 2nd - 4th, 2010; Berlin (Germany)
* Sessions at [http://www.siam.org/meetings/an10/ SIAM Annual Meeting 2010], July 12th - 16th, 2010; Pittsburgh (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=10125 MS2 - Advances in Model Reduction for Large-Scale Problems - Part I of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=10126 MS38 - Advances in Model Reduction for Large-Scale Problems - Part II of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=10127 MS51 - Advances in Model Reduction for Large-Scale Problems - Part III of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=10202 MS33 - Reduced Order Models for Dynamical Systems]"
* Minisymposium "[http://www.eccomas-cfd2010.org/minisymposia.php Model Order Reduction of Complex Systems in CFD]" at [http://www.eccomas-cfd2010.org ECCOMAS CFD]; June 14th - 17th, 2010; Lisbon (Portugal)

===2009===
* Sessions at [https://archive.siam.org/meetings/la09/index.php SIAM Conference on Applied Linear Algebra] October 26 th 29th, 2009; Monterey Bay-Seaside (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=8992 MS14 - Model Order Reduction for Dynamical Systems - Part I of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=8993 MS20 - Model Order Reduction for Dynamical Systems - Part II of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=8994 MS32 - Model Order Reduction for Dynamical Systems - Part III of III]"
* [http://www.win.tue.nl/casa/meetings/special/mor09/ Autumn School on Future Developments in Model Order Reduction] September 21st - 25th, 2009; Terschelling (Netherlands)
* [http://www.uni-muenster.de/CeNoS/ocs/index.php/MRP/MRP09/ MoRePaS] September 16th - 18th, 2009; Münster (Germany)
* Session at [http://www.siam.org/meetings/an09/ SIAM Annual Meeting 2009] July 6th - 10th, 2009; Denver (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=8863 CP20 - Model Reduction]"
* [http://modelreduction.net/iwmrrf2009/ 2nd International Workshop on Model Reduction in Reacting Flows] March 30th - April 1st, 2009 Notre Dame (USA)
* [http://www.cl.eps.manchester.ac.uk/medialand/maths/archived-events/workshops/www.mims.manchester.ac.uk/events/workshops/HSMoR09/ CICADA Workshop on Hybrid Systems and Model Reduction] March 19th - 20th, 2009 Manchester (England)
* Sessions at the [http://siam.org/meetings/cse09 SIAM Conference on Computational Science and Engineering] March 2nd - 6th, 2009; Miami (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=8306 CP12 - Model Reduction]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=7918 MS106 - Model Reduction - Part I of V]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=7919 MS119 - Model Reduction - Part II of V]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=7920 MS127 - Model Reduction - Part III of V]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=7921 MS141 - Model Reduction - Part IV of V]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=7922 MS151 - Model Reduction - Part V of V]"

===2008===

* [https://www.math.uni-hamburg.de/spag/zms/syrene/ Model Reduction for Circuit Simulation] October 30th - 31st, 2008; Hamburg (Germany)
* Session at [http://acc2008.a2c2.org/ American Control Conference] June 11th - 13th, 2008; Seattle (USA)
** "[https://css.paperplaza.net/conferences/conferences/2008ACC/program/2008ACC_ContentListWeb_3.html#fra11 Model Reduction]"

===2007===
* [http://www.win.tue.nl/casa/meetings/special/mor07/ Symposium on Recent Advances in Model Order Reduction] November 23rd, 2007; Eindhoven (Netherlands)
* [http://modelreduction.net/ModelReductionWorkshop/Home%20Page.html 1st International Workshop on Model Reduction in Reacting Flows] September 3rd - 5th, 2007; Rome (Italy)
* Sessions at [http://iciam.org/event/iciam-2007-%E2%80%93-zurich 6th International Congress for Industrial and Applied Mathematics] July 16th - 20th, 2007; Zurich (Switzerland)
** "[http://iciamold.jsiam.org/iciam2007/ICIAM07-ProgramBook.pdf#IC/MP/002/S/346 Model reduction: theory, methodology and software #1]"
** "[http://iciamold.jsiam.org/iciam2007/ICIAM07-ProgramBook.pdf#IC/MP/002/S/346-2 Model reduction: theory, methodology and software #2]"
** "[http://iciamold.jsiam.org/iciam2007/iciam07_programbook.pdf#IC/MP/020/S/347 Model reduction: structured and higher-order systems #1]"
** "[http://iciamold.jsiam.org/iciam2007/iciam07_programbook.pdf#IC/MP/020/S/347-2 Model reduction: structured and higher-order systems #2]"
** "[http://iciamold.jsiam.org/iciam2007/iciam07_programbook.pdf#IC/MP/020/P/348 Model reduction in circuit simulation #1]"
** "[http://iciamold.jsiam.org/iciam2007/ICIAM07-ProgramBook.pdf#IC/MP/020/P/348-2 Model reduction in circuit simulation #2]"
* Session at [http://acc2007.a2c2.org/ American Control Conference] July 11th - 13th, 2007; New York (USA)
** "[https://css.paperplaza.net/conferences/conferences/2007ACC/program/2007ACC_ContentListWeb_1.html#web07 Reduced Order Modeling]"
* Sessions at [https://archive.siam.org/meetings/ct07/index.php SIAM Conference on Control and its Application] June 29th - July 1st, 2007; San Francisco (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=6338 MS16 - Model Reduction for Control and Dynamical Systems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=6339 MS21 - Model Reduction for Control and Dynamical Systems - Part II of II]"
* Sessions at [http://siam.org/meetings/cse07 SIAM Conference on Computational Science and Engineering] February 19th - 23rd, 2007; Costa Mesa (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=5955 MS36 - Model Order Reduction and Automated Behavioural Modeling - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=6029 MS48 - Model Order Reduction and Automated Behavioural Modeling - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=6137 CP12 - Reduced Order Modelling]"

===2006===
* Session "Model Reduction" at [http://www.eurosime.org/b06.htm EuroSimE 2006] April 24th - 26th, 2006; Como (Italy)

* Minisymposia at [http://www.siam.org/meetings/an06/index.php SIAM Annual Meeting 2006] July 10th - 14th, 2006; Boston (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=5357 MS13 - Model Reduction of Dynamical Systems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=5358 MS31 - Model Reduction of Dynamical Systems - Part II of II]"

===2005===
* [http://www.lorentzcenter.nl/lc/web/2005/160/info.php3?wsid=160. Model order reduction, coupled problems and optimization] September 19th - 23rd, 2005; Leiden (Netherlands)

* Minisymposia at [http://www.siam.org/meetings/an05/index.htm SIAM Annual Conference 2005] July 11th - 15th, 2005; New Orleans (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=4372 MS43 - Model Reduction for Large Scale Dynamical Systems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=4373 MS55 - Model Reduction for Large Scale Dynamical Systems - Part II of II]"

===2004===
* [https://www.birs.ca/events/2004/5-day-workshops/04w5513 Model Reduction Problems and Matrix Methods] April 3rd - 8th; Banff (Canada)

===2003===
* [http://web.archive.org/web/20070612131401/http://www.math.tu-berlin.de/numerik/mt/NumMat/Meetings/0310_MFO/ Dimensional Reduction of Large-Scale Systems] October 19th - 25th, 2003 Oberwolfach (Germany)

===2001===
* [https://research.tue.nl/en/activities/macsi-workshop-on-model-reduction MACSI workshop on Model Reduction] October 8th - 9th, 2001; Eindhoven (Netherlands)
* Minisymposium at [http://user.it.uu.se/~icosahom/ International Conference On Spectral and High Order Methods] June 11th - 15th, 2001; Uppsala (Sweden)
** "Reduced-Basis Methods for Partial Differential Equations"

===2000===
* Session at the [https://archive.siam.org/meetings/cse00/ First SIAM Conference on Computational Science and Engineering] September 21st - 24th, 2000; Washington D.C. (USA)
** "[https://archive.siam.org/meetings/cse00/cp25.htm CP25 - Model Reduction, Validation and Data Assimilation]"

===1999===
* Minisymposia at the [http://iciam.org/event/iciam-1999-%E2%80%93-edinburgh 4th International Council for Industrial and Applied Mathematics Congress] July 5th - 9th, 1999; Edinburgh (Scotland)
** "[http://www.macs.hw.ac.uk/archive/iciam99/PrintedProgramme/BookOfAbstracts.pdf#page=171 MSP-187 Reduced-Order Modeling of Large-Scale Systems and Applications in Industry]"
** "[http://www.macs.hw.ac.uk/archive/iciam99/PrintedProgramme/BookOfAbstracts.pdf#page=187 MSP-205,206 Methods of Dimension Reduction]"

Further Software

2022-09-21T21:24:58Z

Himpe: added Mordicus

[[Category:Software]]

Besides the projects in [[:Category:Software|Software]] category, the following model reduction software packages exist:

==Other Model Reduction Software==

* [https://github.com/urban-fasel/FlexWingROM/ FlexWing-ROM] (MATLAB)
* [http://git.io/hapod hapod] - Hierarchical Approximate Proper Orthogonal Decomposition (MATLAB/OCTAVE)
* [http://www.morepas.org/software/kermor/ KerMor] - Kernel Methods for Model Order Reduction (MATLAB)
* [https://github.com/LLNL/libROM libROM] - Model reduction library with an emphasis on large scale parallelism and linear subspace methods (C)
* [https://mordigitalsystems.fr MOR toolbox] - Model reduction toolbox for MATLAB
* [https://modred.readthedocs.io modred] - A Parallelized Model Reduction Library (Python)
* [https://gitlab.com/mor_dicus/mordicus Mordicus] - Reduced Order Modeling library (Python)
* [https://github.com/mpimd-csc/morgen morgen] - Model Order Reduction for Gas and Energy Networks (MATLAB)
* [http://homepages.rpi.edu/~hahnj/Model_Reduction/ Nonlinear Model Reduction Routines] (MATLAB)
* [https://github.com/cwentland0/perform PERFORM] - Prototyping Environment for Reacting Flow Order Reduction Methods (Python)
* [https://github.com/Pressio/pressio pressio] - Projection-based model reduction for nonlinear dynamical systems (C++)
* [https://www.mw.tum.de/rt/forschung/modellordnungsreduktion/software/psssmor/ psssMOR] - Parametric Sparse State-Space and Model Order Reduction Toolbox (MATLAB)
* [https://github.com/erdc/pynirom pyNIROM] - Non-Intrusive Reduced Order Modeling using Python
* [https://github.com/CurtinIC/pyROM pyROM] - Reduced Order Modelling Framework for Python
* [https://redbkit.github.io/redbKIT/ redbKIT] - a MATLAB(R) library for reduced-order modeling of parametrized PDEs
* [http://simplifytoolbox.tumblr.com/ SiMpLIfy] - Structured ModeL reductIon Toolbox for MATLAB
* [http://slicot.org/matlab-toolboxes/model-reduction SLICOT] - Model and Controller Reduction Toolbox (MATLAB)
* [https://doi.org/10.5281/zenodo.4600763 SOLBT] - Limited Balanced Truncation for Large-Scale Sparse Second-Order Systems (MATLAB)
* [https://doi.org/10.5281/zenodo.2553901 SOMDDPA] - Second-Order Modally-Damped Dominant Pole Algorithm (MATLAB)
* [http://sumo.intec.ugent.be/SUMO SUMO] - SUrrogate MOdeling (SUMO) Toolbox (MATLAB)
* [https://github.com/jeffrey-hokanson/sysmor SYSMOR] - System-Theoretic Model Order Reduction (Python)
* [https://github.com/tauruslibmor/taurus Taurus] - taurus library for model order reduction (C++)
* [http://berndnoack.com/xROM.php xROM] - a free Tool for Reduced-Order Modeling

==Discontinued Model Reduction Software==

*[http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.580.2500&rep=rep1&type=pdf A MATLAB Toolbox for Teaching Model Order Reduction Techniques]
* [https://doi.org/10.1109/37.24832 EXPRED] - Expert system for optimization of model reduction techniques (M1)
* [https://web.archive.org/web/20080920171815/http://www.imtek.uni-freiburg.de/simulation/mor4ansys/ mor4ansys] - Model Order Reduction for ANSYS (now [https://www.cadfem.de/produkte/cadfem-ansys-extensions/model-reduction-inside-ansys.html ANSYS extension])
* [https://web.archive.org/web/20080727002739/http://scowl.ge.uiuc.edu/~ssivakum/research.html MRedTool] - Model Reduction of Multi-dimensional and Uncertain systems (MATLAB)
* [http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.453.5492&rep=rep1&type=pdf NLMR] - MATLAB toolbox for exploring projection-based nonlinear model reduction
* [https://doi.org/10.1109/ICICIC.2007.436 OPTIMRED] - A Software Application for Computation of Optimal Reduced Model (MATLAB)
* [https://web.archive.org/web/20130620070226/http://www3.uji.es/~quintana/plic/plicmr/ PLiCMR] - Parallel Library in Control: Model Reduction (integrated into PSLICOT)
* [https://web.archive.org/web/20151124062504/http://augustine.mit.edu:80/methodology/methodology_rbMIT_System.htm rbMIT] - reduced basis MIT (MATLAB)
* [https://www.robotic.de/94 RASP-MODRED] - Regelungstechnische Analyse und Synthese Programme Model Reduction (integrated into SLICOT)
* [https://web.archive.org/web/20151115030532/http://bnbond.com/software/smores/ SMORES] - A Matlab tool for Simulation and Model Order Reduction of Electrical Systems
* [https://web.archive.org/web/20130618203457/http://www3.uji.es/~quintana/plic/spared/index.html SpaRed] - A Parallel Library for Model Reduction (C)

MOR Wiki:Current events

2022-09-19T20:51:05Z

Himpe: Added NLMORC

[[Category:Miscellaneous]]

== MOR Wiki Users Meetings ==

* The first general assembly of MOR Wiki users took place on December 10th - 2013, at the [http://mpim.iwww.mpg.de/research/groups/csc MPI in Magdeburg] (Germany).

* The second MOR Wiki meeting took place on April 23rd - 2015, at the [http://mpim.iwww.mpg.de/research/groups/csc MPI in Magdeburg] (Germany).

* The third MOR Wiki meeting took place on January 11th - 2017, during the [http://www.mpi-magdeburg.mpg.de/csc/events/modred2017 ModRed in Odense] (Denmark).

== Upcoming Workhops and Conferences ==

* [https://more.sciencesconf.org/ Model Reduction and Surrogate Modeling (MORE)], September 19th - 23rd, 2022; Berlin (Germany)

* [https://alop.uni-trier.de/event/autumn-school-on-model-reduction-and-model-predictive-control-with-differential-equations/ Model Reduction and Model Predictive Control with Differential Equations], October 4th - 7th, 2022; Trier (Germany)

* [https://ims.nus.edu.sg/events/international-workshop-on-reduced-order-methods/ International Workshop on Reduced Order Methods], May 22nd - 26th, 2023; Singapore (Singapore)

* [https://personal.math.vt.edu/borggajt/nlromc/index.html Nonlinear Model Reduction for Control], May 22nd - 26th, 2023; Blacksburg (USA).

== Past Events ==

=== 2022 ===
* [https://www.mathmod.at/ 10th Vienna International Conference on Mathematical Modelling], July 27th – 29th, 2022;Vienna (Austria)
** [https://ifac.papercept.net/conferences/conferences/MAMO21/program/MAMO21_ContentListWeb_2.html#wed3 Model Reduction]
** [https://ifac.papercept.net/conferences/conferences/MAMO21/program/MAMO21_ContentListWeb_2.html#wed1 Recent Advances in Model Reduction and Surrogate Modeling I of IV]
** [https://ifac.papercept.net/conferences/conferences/MAMO21/program/MAMO21_ContentListWeb_2.html#wee1 Recent Advances in Model Reduction and Surrogate Modeling II of IV]
** [https://ifac.papercept.net/conferences/conferences/MAMO21/program/MAMO21_ContentListWeb_2.html#thb1 Recent Advances in Model Reduction and Surrogate Modeling III of IV]
** [https://ifac.papercept.net/conferences/conferences/MAMO21/program/MAMO21_ContentListWeb_2.html#thd1 Recent Advances in Model Reduction and Surrogate Modeling IV of IV]

* [https://www.uni-muenster.de/MathematicsMuenster/events/2022/YMCN-model-order-reduction.shtml#Schedule Young Mathematicians in Model Order Reduction (YMMOR)], July 18th - 22th, 2022; Münster (Germany)

* [https://dcn.nat.fau.eu/events/mini-workshop-model-reduction-and-control/ Mini-Workshop "Model Reduction and Control"] May 24th, 2022; (ONLINE)

* [https://www.siam.org/conferences/cm/conference/uq22 SIAM Conference on Uncertainty Quantification], April 12th -15th, 2022; Atlanta (USA)
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=73287 MS4: Nonlinear Model Reduction Methods for Random or Parametric Time Dependent Problems - Part I of III]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=73288 MS32: Nonlinear Model Reduction Methods for Random or Parametric Time Dependent Problems - Part II of III]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=73289 MS76: Nonlinear Model Reduction Methods for Random or Parametric Time Dependent Problems - Part III of III]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=73521 MS154: Reduced Order Modelling for Forward and Inverse UQ - Part I of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=73537 MS168: Reduced Order Modelling for Forward and Inverse UQ - Part II of II]

=== 2021 ===

* [https://indico.sissa.it/event/43/ RAMSES: Reduced order models; Approximation theory; Machine learning; Surrogates, Emulators and Simulators], December 14th - 17th, 2021; Trieste (Italy)

* [https://www.romsoc.eu/wim-2021/ Workshop in Industrial Mathematics (WIM2021) with the Reduced-Order Modeling, Simulation and Optimization of Coupled Systems], October 20th - 22nd; Catania (Italy)

* [https://www.icms.org.uk/events/event/?id=1178 New Developments in Reduced Order Modelling], October 15th; '''ONLINE'''

* [https://mmldt.eng.ucsd.edu/home MMLDT-CSET - Mechanistic Machine Learning and Digital Twins for Computational Science, Engineering & Technology 2021], September 26th - 29th, 2021; San Diego (USA)
** [https://docs.google.com/spreadsheets/d/1GosdHfvpskcnnR56u29ZRNfBWC4kg0hR/edit#gid=83060610&range=A1 MS 4-7: Physics-Informed Data-based Model Reduction]
** [https://docs.google.com/spreadsheets/d/1GosdHfvpskcnnR56u29ZRNfBWC4kg0hR/edit#gid=1626075110&range=A1 MS 4-8: Model Reduction and Machine Learning for Fluids and Fluid-Structure Interactions]
** [https://docs.google.com/spreadsheets/d/1GosdHfvpskcnnR56u29ZRNfBWC4kg0hR/edit#gid=618092903&range=A1 MS 4-9: Advances in Reduced Order Modeling of Solids and Fluids and Porous Media]
** [https://docs.google.com/spreadsheets/d/1GosdHfvpskcnnR56u29ZRNfBWC4kg0hR/edit#gid=378364206&range=A1 MS 4-10: Model Reduction of Dynamical Systems with Deep Learning]
** [https://docs.google.com/spreadsheets/d/1GosdHfvpskcnnR56u29ZRNfBWC4kg0hR/edit#gid=667740&range=A1 MS 5-1: Advances in Machine Learning and Model Reduction for Inversion in Geophysical and Geological Applications]

* [http://smai.emath.fr/cemracs/cemracs21/ CEMRACS 2021 - Data Assimilation and Reduced Modeling for High Dimensional Problems], July 19th - August 27th, 2021; Luminy (France)

* [http://16.usnccm.org US National Congress on Computational Mechanics (USNCCM)], July 25th - 29th, 2021; Chicago (USA)
** "[http://16.usnccm.org/MS_311 MS311: Model Order Reduction for Physical Simulations]"

* [https://www.siam.org/conferences/cm/conference/an21 SIAM Annual Meeting], July 19th - 23rd, 2021; '''ONLINE'''
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=71670 MS62: Advances in Uncertainty Quantification with Model Order Reduction Methods I]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=71671 MS88: Advances in Uncertainty Quantification with Model Order Reduction Methods II]

* [https://www.siam.org/conferences/cm/conference/ct21 SIAM Conference on Control and Its Applications], July 19th - 21st, 2021; '''ONLINE'''
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=71167 MS1: Model Reduction for Control of High-Dimensional Nonlinear Systems I]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=71168 MS9: Model Reduction for Control of High-Dimensional Nonlinear Systems II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=71169 MS17: Model Reduction for Control of High-Dimensional Nonlinear Systems III]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=72048 MS26: Data-Driven Methods in Model Reduction and Control I]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=72049 MS34: Data-Driven Methods in Model Reduction and Control II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=72050 MS42: Data-Driven Methods in Model Reduction and Control III]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=71716 MS25: Model Reduction of Complex Dynamical Systems and its Applications I]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=71717 MS33: Model Reduction of Complex Dynamical Systems and its Applications II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=71718 MS41: Model Reduction of Complex Dynamical Systems and its Applications III]

* [https://www.siam.org/conferences/cm/conference/cse21 SIAM Conference on Computational Science and Engineering (CSE21)], March 1st - 5th, 2021; Fort Worth (USA)
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=70067 MS8: Data Driven Reduced Order Models: Structure, Networks and Imaging - Part I of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69881 MS26: Reduced Order Methods for Parametric CFD Problems - Part I of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69861 MS27: Reduced Order Model Stabilizations and Closures - Part I of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69824 MS31: Structure-Preserving Model Order Reduction for Large-Scale Systems - Part I of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69862 MS60: Reduced Order Model Stabilizations and Closures - Part II of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69943 MS74: Dimensionality Reduction and Reduced-Order Models for the Boltzmann Transport Equation]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=70068 MS98: Data Driven Reduced Order Models: Structure, Networks and Imaging - Part II of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69882 MS111: Reduced Order Methods for Parametric CFD Problems - Part II of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69928 MS113: Reduced-Order Modeling and Analysis of Turbulence - Part I of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69825 MS119: Structure-Preserving Model Order Reduction for Large-Scale Systems - Part II of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69929 MS147: Reduced-Order Modeling and Analysis of Turbulence - Part II of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=70145 MS172: Model Order Reduction for Large-Scale Problems - Part I of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=70146 MS234: Model Order Reduction for Large-Scale Problems - Part II of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=70123 MS309: Data-Driven Modeling and Model Reduction: Honoring 70th Birthday of Thanos Antoulas - Part I of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69938 MS319: Model Order Reduction for Complex Systems - Part I of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69816 MS324: Recent Advances in Model Order Reduction for Advection-Dominated Simulations - Part I of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69764 MS326: Recent Developments in Nonlinear Model Reduction Methods - Part I of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=70124 MS340: Data-Driven Modeling and Model Reduction: Honoring 70th Birthday of Thanos Antoulas - Part II of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69939 MS350: Model Order Reduction for Complex Systems - Part II of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69819 MS355: Recent Advances in Model Order Reduction for Advection-Dominated Simulations - Part II of II]
** [https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=69765 MS357: Recent Developments in Nonlinear Model Reduction Methods - Part II of II]

* [https://www.wccm-eccomas2020.org 14th WWCM and ECCOMAS Congress 2020], January 11th - 15th, 2021; Paris (France)
** "[https://www.wccm-eccomas2020.org/admin/Files/FileAbstract/a93.pdf MS93: Reduced Order and Surrogate Modeling for Uncertainty Analysis in Structural Mechanics]"
** "[https://www.wccm-eccomas2020.org/admin/Files/FileAbstract/a139.pdf MS139: Advances in Intrusive and Non-Intrusive Order Reduction Techniques for Flow Analysis, Control and Optimization]"
** "[https://www.wccm-eccomas2020.org/admin/Files/FileAbstract/a152.pdf MS152: Model Order Reduction Methods for Parametrized Mechanical Systems]"
** "[https://www.wccm-eccomas2020.org/admin/Files/FileAbstract/a170.pdf MS170: Numerical Model Reduction and Data-Driven Surrogates for Multi-Physics Applications]"
** "[https://www.wccm-eccomas2020.org/admin/Files/FileAbstract/a179.pdf MS179: Numerical Techniques for the Simulations and Model Reduction of Complex Physical Systems]"
** "[https://www.wccm-eccomas2020.org/admin/Files/FileAbstract/a204.pdf MS204: Analysing Parameterised Reduced Order Models]"
** "[https://www.wccm-eccomas2020.org/admin/Files/FileAbstract/a371.pdf MS371: Model Order Reduction for Vibroacoustic Problems]"
** "[https://www.wccm-eccomas2020.org/admin/Files/FileAbstract/a415.pdf MS415: Model Order Reduction for Nonlinear (Time, Space, Parameter) Multiscale Problems and Applications]"
** "[https://www.wccm-eccomas2020.org/admin/Files/FileAbstract/a458.pdf MS458: Coupled Multiphysics Problems and Reduced Order Methods Applied to Compute Digital Twin Models in Industrial Applications]"

=== 2020 ===

* [https://www.mfo.de/occasion/2045a/www_view Banach Center – Oberwolfach Graduate Seminar: Model Reduction and Approximation: Projection-, Tensor- and Data-based Methods], November 1st - 7th, 2020; Bedlewo (Poland) ('''CANCELLED''')

* [https://www.tu-chemnitz.de/mathematik/dmv2020/index.php DMV Annual Meeting], September 14th - 18th, 2020; ('''VIRTUAL''')
** "[https://www.tu-chemnitz.de/mathematik/dmv2020/minisymp.php Model Order Reduction]"

* [https://morss2020.epfl.ch Model Order Reduction Summer School]; September 7th - 10th, 2020; ('''VIRTUAL''')

* [https://www.mpi-magdeburg.mpg.de/csc/events/samm20 SAMM20 - Learning Models from Data: Model Reduction, System Identification and Machine Learning], July 27th - 31st, 2020; ('''VIRTUAL''')

* [https://www.siam.org/conferences/cm/conference/an20 2nd Joint SIAM/CAIMS Annual Meeting], July 6th - 17th, 2020; ('''VIRTUAL''')
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=68897 MS4: Projection-Based Model Order Reduction for Partial Differential Equations - Part I of II]"
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=68898 MS7: Projection-Based Model Order Reduction for Partial Differential Equations - Part II of II]"

* [https://icerm.brown.edu/programs/sp-s20/ Model and dimension reduction in uncertain and dynamic systems], January 27th - May 1st, 2020; Providence (USA)
** [https://icerm.brown.edu/programs/sp-s20/w1/ Mathematics of Reduced Order Models], February 17th - 21st
** [https://icerm.brown.edu/programs/sp-s20/w2/ Algorithms for Dimension and Complexity Reduction], March 23rd - 27th ('''VIRTUAL''')
** [https://icerm.brown.edu/programs/sp-s20/w3/ Computational Statistics and Data-Driven Models], April 20th - 24th ('''VIRTUAL''')

* [https://siam-uq20.ma.tum.de SIAM Conference on Uncertainty Quantification (UQ20)], March 24th - 27th, 2020; Munich (Germany) ('''CANCELLED''')
** "[https://www.events.tum.de/frontend/index.php?page_id=3712&v=List&do=15&day=490&ses=1625# CT20: ROM and Surrogate Models]"
** "[https://www.events.tum.de/frontend/index.php?page_id=3712&v=List&do=15&day=489&ses=1723# MS311: Dynamical low rank and reduced basis methods for random or parametric time dependent problems (Part I of II) ]"
** "[https://www.events.tum.de/frontend/index.php?page_id=3712&v=List&do=15&day=489&ses=1724# MS312: Dynamical low rank and reduced basis methods for random or parametric time dependent problems (Part II of II)]"
** "[https://www.events.tum.de/frontend/index.php?page_id=3712&v=List&do=15&day=490&ses=1717# MS331: Recent Advances in Reduced-Order Models for Many Query and Time-Critical Problems]"
** "[https://www.events.tum.de/frontend/index.php?page_id=3712&v=List&do=15&day=491&ses=1774# MS351: Reduced order methods for uncertainty quantification in CFD parametric problems]"

=== 2019 ===

* [https://mortech2019.sciencesconf.org/ MORTech - 5th International Workshop on Reduced Basis, POD or PGD-Based Model Reduction Technique], November 20th - 22nd, 2019; Paris (France)

* [https://www.tudelft.nl/en/events/2019/dcse/dcse-fall-school-november-4-8-2019-on-reduced-order-modeling-and-uncertainty-quantification/ DCSE Fall School November 4-8, 2019, on "Reduced-Order Modeling and Uncertainty Quantification"] November 4th - 8th, 2019; Delft (Netherlands)

* [https://school.pymor.org/ pyMOR School 2019], October 7th - 11th, 2019; Magdeburg (Germany)

* [https://www.enumath2019.eu ENUMATH 2019], September 30th - October 4th, 2019; Egmond aan Zee (Netherlands)
** "[https://www.enumath2019.eu/program/show_slot/30 MS2: Recent Advances in Model Order Reduction]"
** "[https://www.enumath2019.eu/program/show_slot/76 MS14: Reduced Order Models for parametric PDEs: special focus on time-dependent phenomena and time-harmonic wave problems (Part 1)]"
** "[https://www.enumath2019.eu/program/show_slot/87 MS14: Reduced Order Models for parametric PDEs: special focus on time-dependent phenomena and time-harmonic wave problems (Part 2)]"
** "[https://www.enumath2019.eu/program/show_slot/113 MS18: Model order reduction in optimisation, control, and data assimilation (Part 1)]"
** "[https://www.enumath2019.eu/program/show_slot/124 MS18: Model order reduction in optimisation, control, and data assimilation (Part 2)]"
** "[https://www.enumath2019.eu/program/show_slot/6 MS26: New challenges and opportunities for model order reduction (Part 1)]"
** "[https://www.enumath2019.eu/program/show_slot/17 MS26: New challenges and opportunities for model order reduction (Part 2)]"
** "[https://www.enumath2019.eu/program/show_slot/7 MS29: Low-rank modelling in uncertainty quantification (Part 1)]"
** "[https://www.enumath2019.eu/program/show_slot/18 MS29: Low-rank modelling in uncertainty quantification (Part 2)]"
** "[https://www.enumath2019.eu/program/show_slot/8 MS31: Numerical methods for identification and model reduction of nonlinear systems (Part 1)]"
** "[https://www.enumath2019.eu/program/show_slot/19 MS31: Numerical methods for identification and model reduction of nonlinear systems (Part 2)]"
** "[https://www.enumath2019.eu/program/show_slot/151 MS38: Modeling of reduced order submanifolds in non-linear spaces (Part 1)]"
** "[https://www.enumath2019.eu/program/show_slot/162 MS38: Modeling of reduced order submanifolds in non-linear spaces (Part 2)]"
** "[https://www.enumath2019.eu/program/show_slot/121 Computing and Model Order Reduction (Part 1)]"
** "[https://www.enumath2019.eu/program/show_slot/132 Computing and Model Order Reduction (Part 2)]"

* [https://www.win.tue.nl/~hbansal/morss.html Model Order Reduction Summer School - MORSS], September 23rd - 27th, 2019; Eindhoven (Netherlands)

* [https://congress.cimne.com/complas2019/frontal/default.asp International Conference on Computational Plasticity. Fundamentals and Applications.], September 3rd - 5th, 2019; Barcelona (Spain)
** "[https://congress.cimne.com/complas2019/frontal/ProgramPrint.asp?id=WeM1 Model Order Reduction with Emphasis on Non-linear and Multi-scale Problems I]"
** "[https://congress.cimne.com/complas2019/frontal/ProgramPrint.asp?id=WeE1 Model Order Reduction with Emphasis on Non-linear and Multi-scale Problems II]"

* [https://imsc.uni-graz.at/modred2019 4th Workshop on Model Reduction of Complex Dynamical Systems - MODRED], August 28th - 30th, 2019; Graz (Austria)

* [http://15.usnccm.org US National Congress on Computational Mechanics (USNCCM)], July 28th - 1st August, 2019; Austin (USA)
** "[http://15.usnccm.org/208 Data Assimilation in Model Order Reduction Techniques for Computational Mechanics]"
** "[http://15.usnccm.org/1001 Model Order Reduction for Computational Continuum Mechanics]"

* [https://iciam2019.org International Congress on Industrial and Applied Mathematics], July 15th - 19th, 2019; Valencia (Spain)
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20FT-2-4%201 MS FT-2-4 1: New trends in dimensionality reduction of parametrized and stochastic PDEs - Part 1 of 2]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20FT-2-4%202 MS FT-2-4 2: New trends in dimensionality reduction of parametrized and stochastic PDEs - Part 2 of 2]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20GH-3-3%202 MS GH-3-3 2: Model order reduction methods and their broad applications in engineering - Part 1 of 3]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20GH-3-3%203 MS GH-3-3 3: Model order reduction methods and their broad applications in engineering - Part 2 of 3]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20GH-3-3%204 MS GH-3-3 4: Model order reduction methods and their broad applications in engineering - Part 3 of 3]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20A1-1-1%205 MS A1-1-1 5: Advances in reduced order methods for parameter-dependent problems - Part 1 of 1]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20FE-1-3%205 MS FE-1-3 5: Network based model reduction in large-scale simulations, imaging and data-science - Part 1 of 3]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20FE-1-3%206 MS FE-1-3 6: Network based model reduction in large-scale simulations, imaging and data-science - Part 2 of 3]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20FE-1-3%207 MS FE-1-3 7: Network based model reduction in large-scale simulations, imaging and data-science - Part 3 of 3]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20GH-3-3%205 MS GH-3-3 5: Model Reduction and Coupled Problems in Industry Applications - Part 1 of 2]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20GH-3-3%206 MS GH-3-3 6: Model Reduction and Coupled Problems in Industry Applications - Part 2 of 2]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20FE-1-G%207 MS FE-1-G 7: Model-reduction, randomization, and other techniques for large-scale inversion and UQ - Part 1 of 1]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20FT-2-4%207 MS FT-2-4 7: Reduced Order Modeling for Parametric CFD Problems - Part 1 of 4]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20FT-2-4%208 MS FT-2-4 8: Reduced Order Modeling for Parametric CFD Problems - Part 2 of 4]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20FT-2-4%209 MS FT-2-4 9: Reduced Order Modeling for Parametric CFD Problems - Part 3 of 4]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20FT-2-4%2010 MS FT-2-4 10: Reduced Order Modeling for Parametric CFD Problems - Part 4 of 4]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20GH-0-1%207 MS GH-0-1 7: Reduced-order modeling and data-driven estimation in waves and fluids - Part 1 of 2]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20GH-0-1%208 MS GH-0-1 8: Reduced-order modeling and data-driven estimation in waves and fluids - Part 2 of 2]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20FE-1-G%209 MS FE-1-G 9: Recent Advancements in Model Reduction for Stochastic and Nonlinear Systems - Part 1 of 2]"
** "[https://iciam2019.com/programa/sesiones.html?codSes=MS%20FE-1-G%2010 MS FE-1-G 10: Recent Advancements in Model Reduction for Stochastic and Nonlinear Systems - Part 2 of 2]"
* [https://indico.sissa.it/event/34/ Summer School on Reduced Order Methods in Computational Fluid Dynamics], July 8th - 12th, 2019; Trieste (Italy)
* [https://2019.compdyn.org 7th International Conference on Computational Methods in Structural Dynamics and Earthquake Engineering - COMPDYN], June 24th - 26th, 2019; Crete (Greece)
** "MS 5: Surrogate and Reduced-Order Modeling for Stochastic Simulation of Physical Systems"
** "MS 6: Uncertainty Computations with Reduced Order Models and Low-Rank Representations"
** "MS 27: Advances in model reduction techniques in computational structural dynamics"
* [http://modelreduction.net/workshops/7th-international-workshop/ 7th International Workshop on Model Reduction in Reactive Flow (IWMRRF)], June 18th - 21st, 2019; Trondheim (Norway)
* [https://isc.tamu.edu/events/Spring2019/ Spring 2019 Model Reduction Workshop] April 29th, 2019; Houston (USA)
* [https://www.dropbox.com/s/yqqnyxufa36tfdf/EECI-IGSC-2019-Model%20Reduction.pdf?dl=0 Model Reduction for Linear and Nonlinear Systems], April 29th - May 3rd, 2019; London (England)
* [http://www.math.sissa.it/course/phd-course/reduced-order-methods-computational-mechanics Reduced Order Methods for Computational Mechanics], April 15th - 18th, 2019; Trieste (Italy)
* [https://cmsa.fas.harvard.edu/machine-learning/ Machine Learning for Multiscale Model Reduction Workshop], March 27th - 29th, 2019; Cambridge (USA)
* [https://www.siam.org/Conferences/CM/Main/cse19 2019 SIAM Conference on Computational Science and Engineering], February 25th - March 1st, 2019; Spokane (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65932 MS10: Model Reduction, Adaptivity, and High Dimensionality in Uncertainty Quantification - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65933 MS44: Model Reduction, Adaptivity, and High Dimensionality in Uncertainty Quantification - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65806 MS14: Emerging Trends for Structure Preserving Model Order Reduction - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65807 MS49: Emerging Trends for Structure Preserving Model Order Reduction - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65793 MS25: Discovering and Exploiting Low-dimensional Structures in Computational Models - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65794 MS60: Discovering and Exploiting Low-dimensional Structures in Computational Models - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=66052 MS93: Nonlinear Reduced Order Modeling of Realistic Engineering Fluid Flows]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65894 MS112: Recent Advances in Model Reduction and Uncertainty Quantification - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65895 MS145: Recent Advances in Model Reduction and Uncertainty Quantification - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65632 MS119: Model Reduction for Problems with Strong Convection, Sharp Gradients, and Discontinuities - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65633 MS153: Model Reduction for Problems with Strong Convection, Sharp Gradients, and Discontinuities - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65903 MS131: Homogenization and Reduced Order Modelling for Wave Equations - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65904 MS165: Homogenization and Reduced Order Modelling for Wave Equations - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=66036 MS188: Reduced Order Modeling for Parametric CFD Problems- Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=66037 MS221: Reduced Order Modeling for Parametric CFD Problems - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65744 MS191: New Challenges and Opportunities for Model Order Reduction - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65745 MS225: New Challenges and Opportunities for Model Order Reduction - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65757 MS243: Reduced Order Models for Fluids: Achievements and Open Problems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65758 MS276: Reduced Order Models for Fluids: Achievements and Open Problems - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65898 MS267: Model Reduction and Reduced-order Modeling of Dynamical Systems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65899 MS301: Model Reduction and Reduced-order Modeling of Dynamical Systems - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=66160 MS308: Data-driven and Mathematical Model Reductions for Combustion System Simulation and Design]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=66143 MS316: Rational Approximation and its Applications]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65578 MS343: Data-augmented Reduced-order Modeling: Operator Learning and Closure/error Modeling - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65579 MS376: Data-augmented Reduced-order Modeling: Operator Learning and Closure/error Modeling - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65662 MS352: Recent Developments in Model Order Reduction Methods - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=65663 MS384: Recent Developments in Model Order Reduction Methods - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=66087 MS361: Structure-exploiting Techniques for Approximation, Inference and Control of Complex Systems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=66088 MS393: Structure-exploiting Techniques for Approximation, Inference and Control of Complex Systems - Part II of II]"

=== 2018 ===

* [http://meetings.aps.org/Meeting/DFD18/Content/3571 71st Annual Meeting of the APS Division of Fluid Dynamics], November 18th - 20th, 2018; Atlanta (USA)
** "[http://meetings.aps.org/Meeting/DFD18/Session/A01 Session A01: Nonlinear Dynamics: Model Reduction I]"
** "[http://meetings.aps.org/Meeting/DFD18/Session/F15 Session F15: Flow Control: Coherent Structures and Reduced Order Modeling]"
** "[http://meetings.aps.org/Meeting/DFD18/Session/Q01 Session Q01: Nonlinear Dynamics: Model Reduction II]"

* [https://www.math.uni-hamburg.de/morss2018/ Model Order Reduction Summer School], September 24th - 28th, 2018; Hamburg (Germany)

* [https://alop.uni-trier.de/eucco2018 5th European Conference on Computational Optimization - EUCCO 2018], September 10th - 12th; Trier (Germany)
** "Focus Session: Model order reduction and low-rank approximation for nonlinear problems"

* Minisymposium at [https://sim.mathematik.uni-halle.de/numdiff/Numdiff15/home NumDiff 15], September 3rd - 7th, 2018; Halle (Germany)
** "Model order reduction for dynamical systems"

* [http://597.euromech.org/ Colloquium 597 Reduced Order Modeling in Mechanics of Materials], August 28th - 31st, 2018; Bad Herrenalb (Germany)

* Minisymposia at "[http://www.wccm2018.org/ 13th World Congress in Computational Mechanics]", July 22nd - 27th, 2018; New York (USA)
** "[http://www.wccm2018.org/MS_715 MS715: Reduced Order Methods for Parametric CFD Problems]"
** "[http://www.wccm2018.org/MS_1802 MS1802: Model Reduction, Big Data and Dynamic Data-Driven Systems]"
** "[http://www.wccm2018.org/MS_1804 MS1804: Machine Learning and Reduced-order Models for Complex Systems]"

* Minisymposia at "[http://ecmi.bolyai.hu/ The 20th European Conference on Mathematics for Industry]", June 18th - 22nd, 2018; Budapest (Hungary)
** "MS35: Reduced Order Modelling for Industrial and Scientific Applications"

* Sessions at the [http://www.ecc18.eu/ European Control Conference 2018] June 12th - 15th, 2018; Limassol (Cyprus)
** [https://controls.papercept.net/conferences/conferences/ECC18/program/ECC18_ContentListWeb_4.html#fra3 Model Reduction and Control in Large-Scale Networks]
** [https://controls.papercept.net/conferences/conferences/ECC18/program/ECC18_ContentListWeb_4.html#frb3 Model and Order Reduction I]
** [https://controls.papercept.net/conferences/conferences/ECC18/program/ECC18_ContentListWeb_4.html#frc3 Model and Order Reduction II]

* Minisymposia at "[http://www.eccm-ecfd2018.org ECCM-ECFD 2018]", June 11th - 15th, 2018; Glasgow (Scotland)
** "[http://www.eccm-ecfd2018.org/admin/Files/FileAbstract/a48.pdf MS48: Model reduction, big data and dynamic data-driven systems]"
** "[http://www.eccm-ecfd2018.org/admin/Files/FileAbstract/a126.pdf MS126: Reduced order modeling with error control and adaptivity]"
** "[http://www.eccm-ecfd2018.org/admin/Files/FileAbstract/a130.pdf MS130: Advances in reduced basis techniques for flow problems in analysis, control and optimization]"
** "[http://www.eccm-ecfd2018.org/admin/Files/FileAbstract/a149.pdf MS149: Model order reduction for multiscale problems in geo-engineering]"
** "[http://www.eccm-ecfd2018.org/admin/Files/FileAbstract/a170.pdf MS170: Reduced order modeling for uncertainty quantification in subsurface flow problems]"
** "[http://www.eccm-ecfd2018.org/admin/Files/FileAbstract/a192.pdf MS192: Developments in reduced-order modelling of the cardiovascular system -- methods and applications.]"

* "[http://www.itm.uni-stuttgart.de/iutam2018/ IUTAM Symposium on Model Order Reduction for Coupled Systems (MORCOS18)]" May 22nd - 25th, 2018; Stuttgart (Germany)

* "[https://sites.google.com/view/rom4cvs Workshop on Reduced Models for the Cardiovascular Systems]" April 26th - 27th, 2018; Atlanta (USA)

* Sessions at "[http://www.siam.org/meetings/uq18/ SIAM Conference on Uncertainty Quantification 2018]" April 16th - 20th, 2018; Garden Grove (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=63738 MS5 - Model reduction and fast sampling methods for Bayesian inference - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=63739 MS18 - Model reduction and fast sampling methods for Bayesian inference - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=63731 MS54 - Dimension reduction in Bayesian inference - Part I of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=63732 MS67 - Dimension reduction in Bayesian inference - Part II of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=63733 MS80 - Dimension reduction in Bayesian inference - Part III of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=63754 MS39 - recent advances in model reduction and data-enabled modeling - Part I of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=63755 MS53 - recent advances in model reduction and data-enabled modeling - Part II of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=63756 MS66 - recent advances in model reduction and data-enabled modeling - Part III of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=63821 MS75 - Reduced Order Modeling for Uncertainty Quantification Targeting Exascale Computing Applications]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=63791 MS79 - Reduced-order modeling techniques for large-scale UQ problems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=63792 MS93 - Reduced-order modeling techniques for large-scale UQ problems - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=63817 MS106 - Advances in Reduced Order Modeling for Uncertainty Quantification - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=63818 MS119 - Advances in Reduced Order Modeling for Uncertainty Quantification - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=64390 CP2 - Reduced-order Modeling and Dynamical Systems I]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=64404 CP13 - Reduced-order Modeling and Dynamical Systems II]"
* "[http://morepas2018.sciencesconf.org MoRePaS 2018 - Model Reduction of Parametrized Systems IV]" April 9th - 13th, 2018; Nantes (France)
* "[http://www.newton.ac.uk/event/unqw03 Reducing dimensions and cost for UQ in complex systems]" March 5th - 9th, 2018; Cambridge (UK)
* Minisymposium at [http://www.mathmod.at/ 9th MathMod] February 21st - 23rd, 2018; Vienna (Austria)
** "Model Reduction"
* "[https://sisu.ut.ee/eu_mornet/node/17747 EU-MORNET Workshop]" February 8th - 9th, 2018; Tartu (Estonia)
* "[http://www.jade-hs.de/unsere-hochschule/fachbereiche/ingenieurwissenschaften/forschung-und-praxis/modellierung-und-simulation-mechatronischer-systeme/february-2nd-2018-eu-mornet-workshop-mor-4-mechatronics/ MOR 4 MECHATRONICS]" February 2nd, 2018; Wilhemshaven (Germany

=== 2017 ===

* [http://math.lbl.gov/~mjzahr/wcrw2017/ West Coast ROM Workshop], November 17th, 2017; Berkeley (USA)
* "[http://www.imus.us.es/IWROM4/ MORTech 2017]" November 8th - 10th; Seville (Spain)
* "[http://www.math.rug.nl/gcsc/morschool.html Groningen Autumn School on Model Order Reduction]" October 30th - November 1st, 2017; Groningen (Netherlands)
* Minisymposia at [http://www.uib.no/en/enumath2017 ENUMATH 2017] September 25th - 29th, 2017; Voss (Norway)
** "[http://www.uib.no/en/enumath2017/98144/minisymposia MS10 - Reduced order models for time-dependent problems]"
** "[http://www.uib.no/en/enumath2017/98144/minisymposia MS28 - Model reduction methods for simulation and (optimal) control]"
* "[http://scale-freeback.eu/grenoble-workshop-2017/ Modelling Reduction Tools for Large Scale Complex Networks]" September 21st - 22nd, 2017; Grenoble (France)
* "[http://www.rbss2017.de Reduced Basis (and Friends) Summer School 2017]" September 19th - 22nd, 2017; Goslar (Germany)
* "[http://www.gipsa-lab.fr/summerschool/auto2017/ Approximation of Large-Scale Dynamical Models]" September 11th - 15th, 2017; Grenoble (France)
* "[http://www.rt.mw.tum.de/workshops-seminare/2-mor-doktoranden-workshop/ 2. MOR Doktoranden-Workshop]" September 6th - 8th, 2017; Munich (Germany)
* "[http://www.maths.dur.ac.uk/lms/107/index.html EPSRC Durham Symposium Model Order Reduction]" August 7th - 17th, 2017; Durham (UK)
* "[http://modelreduction.net/workshops/6th-international-workshop 6th International Workshop on Model Reduction in Reacting Flows]" July 11th - 14th, 2017; Princeton (USA)
* "[http://www.siam.org/meetings/dr17/ SIAM Workshop on Parameter Space Dimension Reduction (DR17)]" July 9th - 10th, 2017; Pittsburgh (USA)
* "[https://www.math.vt.edu/GFD_conference2017/ Conference on Classical and Geophysical Fluid Dynamics: Modeling, Reduction and Simulation]" June 26th - 28th, 2017; Blacksburg (USA)
* Session at [http://acc2017.a2c2.org/ American Control Conference] May 24th - 26th, 2017; Seattle (USA)
** "[https://css.paperplaza.net/conferences/scripts/rtf/2017ACC_ContentListWeb_3.html#thc05 Reduced Order Modeling]"
* "[http://eumornetlux.weebly.com/ 2nd Exploratory Workshop on Applications of Model Order Reduction Methods in Industrial Research and Development]" March 10th, 2017; Luxembourg (Luxembourg)
* "[http://www.eu-mor.net/model-reduction-course-hydra/ Model Reduction Course HYDRA]" March 6th - 9th, 2017; Eindhoven (Netherlands)
* Minisymposia at [http://www.siam.org/meetings/cse17/ SIAM CSE'17] February 27th, 2017; Atlanta (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=60778 MS8 - Smooth, Reduced, Sparse -- Exploiting Structures for Surrogate Modeling in CSE - Part I of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=60779 MS37 - Smooth, Reduced, Sparse -- Exploiting Structures for Surrogate Modeling in CSE- Part II of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=60819 MS66 - Smooth, Reduced, Sparse -- Exploiting Structures for Surrogate Modeling in CSE - Part III of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=60968 MS75 - Model Reduction Software: Nonlinear Problems and Data-Driven Solutions]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=61076 MS106 - Reduced Order Models for Fluids: Achievements and Open Problems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=61077 MS133 - Reduced Order Models for Fluids: Achievements and Open Problems - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=61078 MS161 - Reduced Order Models for Fluids: Achievements and Open Problems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=61079 MS188 - Reduced Order Models for Fluids: Achievements and Open Problems - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=60854 MS107 - Model Order Reduction: Perspectives from Junior Researchers - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=61077 MS134 - Model Order Reduction: Perspectives from Junior Researchers - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=61070 MS145 - Reduced Order Modeling Techniques in Large Scale & Data-Driven PDE Problems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=61071 MS172 - Reduced Order Modeling Techniques in Large Scale & Data-Driven PDE Problems - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=60909 MS162 - Model Reduction for Optimal Control Problems: Perspectives from Junior Researchers - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=60910 MS189 - Model Reduction for Optimal Control Problems: Perspectives from Junior Researchers - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=61275 MS313 - Model and Solution Reduction Methods in Computational Mechanics: Challenges and Perspectives]"
* "[http://www.hda2017.unsw.edu.au 7th Workshop on High-Dimensional Approximation]" February 13th - 17th, 2017; Sydney (Australia)
* "[http://matperso.mines-paristech.fr/Personnel/david.ryckelynck Doctoral Workshop on Model Reduction in Nonlinear Mechanics]" February 13th - 17th, 2017; Paris (France)
* "[http://www.mpi-magdeburg.mpg.de/csc/events/modred2017 3rd Workshop on Model Reduction of Complex Dynamical Systems]" January 11th - 13th, 2017; Odense (Denmark)

=== 2016 ===

* "[http://www.komso.org/events/challenge-workshops/reduced-order-modeling-simulation-and-optimization-powerful-algorithms Reduced-Order Modeling for Simulation and Optimization: Powerful Algorithms as Key Enablers for Scientific Computing]" November 17th - 18th; Renningen (Germany)
* Workshop "[http://www.ihp.fr/en/CEB/T3-2016/workshop2 Recent developments in numerical methods for model reduction]" November 7th - 10th, 2016; Paris (France)
* "[http://www.mpi-magdeburg.mpg.de/3104866/RBSS2016 Reduced Basis Summer School 2016]" October 4th - 7th, 2016; Hedersleben (Germany)
* Workshop on "[http://www.eventbrite.it/e/reduced-order-modelling-and-multi-physics-coupling-for-reactor-applications-registration-24511634960 Reduced Order Modelling and Multiphysics Coupling for Rector Application]" September 30th, 2016; Milano (Italy)
* "[http://alop.uni-trier.de/event/alop-workshop-reduced-order-models-in-optimization/ ALOP Workshop: Reduced Order Models in Optimization] September 26th - 28th, 2016; Trier (Germany)
* "[http://www.mathos.unios.hr/index.php/443 Workshop on Model Reduction Methods and Optimization]" September 20th - 21st, 2016; Opatija (Croatia)
* "[http://www.mechbau.uni-stuttgart.de/EMMA/worm2016 3rd International Workshop on Order-Reduction Methods for Mechanics of Materials]" August 29th - 31st, 2016; Bad Herrenalb (Germany)
* Sessions at [http://www.siam.org/meetings/an16/ SIAM Annual Meeting 2016] 11th - 15, 2016; Boston (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=23289 MS32 - Reduced Order Modeling Techniques in Uncertainty Quantification - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=23290 MS46 - Reduced Order Modeling Techniques in Uncertainty Quantification - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=23600 MS70 - Model Reduction and Krylov-Subspace Methods]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=23394 MS71 - Model Reduction for Inverse Problems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=23395 MS87 - Model Reduction for Inverse Problems - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=23453 MS103 - Model Reduction for Wavefield Simulations - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=23454 MS118 - Model Reduction for Wavefield Simulations - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=23099 MS104 - Model Reduction of Parametrized PDEs in Continuum Mechanics - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=23100 MS119 - Model Reduction of Parametrized PDEs in Continuum Mechanics - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=23146 MS137 - Model Reduction of Parametrized PDEs: Application to Optimization and Uncertainty Quantification]"
* Minisymposium "[http://ilas2016.cs.kuleuven.be/minisymposium.php?sid=41 Data-Driven Model Reduction]" at ILAS July 11th - 15th, 2016; Leuven (Belgium)
* Sessions at [http://sites.google.com/a/umn.edu/mtns-2016/ 22nd International Symposium on Mathematical Theory of Networks and Systems], July 11th - 15th, 2016; Minnesota (USA)
** "[http://controls.papercept.net/conferences/conferences/MTNS16/program/MTNS16_ContentListWeb_1.html#tua06 Model Reduction I]"
** "[http://controls.papercept.net/conferences/conferences/MTNS16/program/MTNS16_ContentListWeb_1.html#tub06 Model Reduction II]"
* Session at [http://ecc16.eu European Control conference 2016], June 29th - July 1st, 2016; Aalborg (Denmark)
** "[http://controls.papercept.net/conferences/conferences/ECC16/program/ECC16_ContentListWeb_4.html#fra6 Model Reduction]"
* Seminar "[http://www.aices.rwth-aachen.de/news-events/eu-regional-school/eu-regional-school-2016/courses/heinkenschloss-seminar Model Reduction in PDE Constrained Optimization]" at EU Regional School, June 14th - 15th, 2016; Aachen (Germany)
* Minisymposium "Reduced Basis, POD and PGD Model Order Reduction Techniques" at [http://www.eccomas2016.org ECCOMAS Congress 2016] June 5th - 10th, 2016; Crete Island (Greece)
* Workshop on "[http://www.eu-mor.net/workshop-model-order-reduction-control-inverse-problems-morcip-2016/ Model Order Reduction for Control and Inverse Problems (MORCIP)]" May 19th - 20th, 2016; Lausanne (Switzerland)
* Spring School "[http://www.ercoftac.org/events/ercoftac_montestigliano_spring_school_2016/ Reduced-order models for non-linear dynamics in fluid flows]" May 17th - 23rd, 2016; Siena (Italy)
* Sessions at [http://www.siam.org/meetings/uq16/ SIAM Conference on Uncertainty Quantification] April 5th - 8th, 2016; Lausanne (Switzerland)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=21926 MS13 - Reduced Order Modelling for UQ PDEs Problems: Optimization, Control, Data Assimilation - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=21927 MS28 - Reduced Order Modelling for UQ PDEs Problems: Optimization, Control, Data Assimilation - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=22194 MS89 - Reduced-order Modeling in Uncertainty Quantification - Part I of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=22195 MS104 - Reduced-order Modeling in Uncertainty Quantification - Part II of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=22196 MS119 - Reduced-order Modeling in Uncertainty Quantification - Part III of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=22362 MS149 - Model Reduction in Stochastic Dynamical Systems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=22363 MS164 - Model Reduction in Stochastic Dynamical Systems - Part II of II]"
* Workshop "[http://www.ians.uni-stuttgart.de/agh/misc/events/morml2016/index.html Data-Driven Model Order Reduction and Machine Learning (MORML 2016)]" March 30th - April 1st, 2016; University of Stuttgart (Germany)
* Symposium "[http://www.humboldt-foundation.de/web/gafos-2016-sessions.html Model Reduction for Complex Systems]" at [http://www.humboldt-foundation.de/web/gafos-2016.html 20th German-American Symposium] March 10th - 13th, 2016; Potsdam (Germany)
* "Doctoral Workshop on Model Reduction in nonlinear dynamics of fluids and structures" January 25th - 29th, 2016; Paris (France)

=== 2015 ===

* West Coast ROM Workshop, November 19th, 2015; Livermore (USA)
* [http://sites.google.com/site/mor4mems2015/ MOR 4 MEMS] November 17th - 18th, 2015; Karlsruhe (Germany). [http://www2.mpi-magdeburg.mpg.de/mpcsc/events/MOR4MEMS2015/ Here] you find the presentation slides.
* [http://rom2015.sciencesconf.org Reduced Basis, POD and PGD Model Reduction Techniques] November 4th - 6th, 2015; Cachan (France)
* [http://eumornetlux.weebly.com/ Exploratory Workshop on Applications of Model Order Reduction Methods in Industrial Research and Development] November 6th, 2015; Luxembourg (Luxembourg)
* [http://indico.sissa.it/event/4/ MoRePaS III] October 13th - 16th, 2015; Trieste (Italy)
* [http://www.mathos.unios.hr/index.php/351 3rd International School on Model Reduction for Dynamical Control Systems] October 5th - 10th, 2015; Dubrovnik (Croatia)
* Minisymposium "[http://enumath2015.iam.metu.edu.tr/minisymposia20.html Local and adaptive model reduction for partial differential equations]" at [http://enumath2015.iam.metu.edu.tr ENuMath] September 14th - 18th, 2015; Ankara (Turkey)
* Minisymposium "[http://scicade2015.math.uni-potsdam.de/scicade2015/minisymposiadetails.html#MS34 Parametric Model Order Reduction: Challenges and Solutions]" at [http://scicade2015.math.uni-potsdam.de SciCADE] September 14th - 18th, 2015; Potsdam (Germany)
* [http://www.math.uni-konstanz.de/numerik/pod/rbss_2015/ Reduced Basis Summer School 2015] September 14th - 18th, 2015; Konstanz (Germany)
* [http://www.cs.cas.cz/more2015/index.php Workshop on MOdel REduction] September 6th - 10th, 2015; Pilsen (Czech Republic)
* Session at [http://www.iciam2015.cn 8th International Congresson Industrial and Applied Mathematics] August 10th - 14th, 2015; Beijing (China)
** "[http://www.iciam2015.cn/ICIAM%202015-program.pdf#MS-Mo-D-32.88 MS-Mo-D-32 - Reduced-order modeling in uncertainty quantification and computational fluiddynamics - Part I of III]"
** "[http://www.iciam2015.cn/ICIAM%202015-program.pdf#MS-Mo-E-32.aD MS-Mo-E-32 - Reduced-order modeling in uncertainty quantification and computational fluiddynamics - Part II of III]"
** "[http://www.iciam2015.cn/ICIAM%202015-program.pdf#MS-We-E-03.cC MS-We-E-03 - Reduced-order modeling in uncertainty quantification and computational fluiddynamics - Part III of III]"
** "[http://www.iciam2015.cn/ICIAM%202015-program.pdf#MS-We-E-55.XZ MS-We-E-55 - New advances in model order reduction: methods, algorithms, and applications - Part I of II]"
** "[http://www.iciam2015.cn/ICIAM%202015-program.pdf#MS-Th-BC-55.A6 MS-Th-BC-55 - New advances in model order reduction: methods, algorithms, and applications - Part II of II]"
** "[http://www.iciam2015.cn/ICIAM%202015-program.pdf#MS-Tu-E-14.1F MS-Tu-E-14 - Optimality in reduced order modeling and inversion - Part I of II]"
** "[http://www.iciam2015.cn/ICIAM%202015-program.pdf#MS-We-D-14.l1 MS-We-D-14 - Optimality in reduced order modeling and inversion - Part II of II]"
* Reduced Order Methods Session at [http://www.yic.rwth-aachen.de/ YIC GACM ACCCES] July 20th - 23rd; Aachen (Germany)
* Session at [https://desreg.jku.at/ecc15/ European Control Conference 2015] July 15th -17th, 2015; Linz (Austria)
** "[http://controls.papercept.net/conferences/conferences/ECC15/program/ECC15_ContentListWeb_2.html#wea11 Model Reduction I]"
** "[http://controls.papercept.net/conferences/conferences/ECC15/program/ECC15_ContentListWeb_2.html#wec11 Model Reduction II]"
* [http://modelreduction.net/workshops/5th-annual 5th International Workshop on Model Reduction in Reacting Flows] June 28th - July 1st; Spreewald (Germany)
* [http://www3.math.tu-berlin.de/numerik/MoRTransPhen/ Model Reduction for Transport Dominated Phenomena] May 19th - 20th; Berlin (Germany)
* International Symposium: [http://www.tum-ias.de/bigdata2015/program.html Big Data and Predictive Computational Modelling] May 18th - 21st, 2015; München (Germany)
* Minisymposia at [http://www.siam.org/meetings/cse15 SIAM Conference on Computational Science and Engineering] March 14th - 18th, 2015; Salt Lake City (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=20081 MS4 - Adaptive Model Order Reduction - Part I of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=20082 MS30 - Adaptive Model Order Reduction - Part II of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=20083 MS55 - Adaptive Model Order Reduction - Part III of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=20296 MS91 - Parametric Model Reduction and Inverse Problems - Part I of IV]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=20297 MS116 - Parametric Model Reduction and Inverse Problems - Part II of IV]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=20300 MS143 - Parametric Model Reduction and Inverse Problems - Part III of IV]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=20301 MS169 - Parametric Model Reduction and Inverse Problems - Part IV of IV]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=19988 MS148 - Reduced-order Models for PDE-constrained Optimization Problems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=19989 MS174 - Reduced-order Models for PDE-constrained Optimization Problems - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=19907 MS187 - Recent Advances in Model Reduction - Part I of V]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=19908 MS211 - Recent Advances in Model Reduction - Part II of V]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=19960 MS236 - Recent Advances in Model Reduction - Part III of V]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=19961 MS260 - Recent Advances in Model Reduction - Part IV of V]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=19962 MS285 - Recent Advances in Model Reduction - Part V of V]"
* Session at [http://www.mathmod.at Vienna Conference on Mathematical Modelling (MathMod)] February 18th - 20th, 2015; Vienna (Austria)
** "Model Reduction"
* [http://congress.cimne.com/mor/frontal/objectives.asp Short Course on Model Order Reduction] January 26th - 29th, 2015; Barcelona (Spain)

=== 2014 ===
* [http://www.mfo.de/occasion/1448b/www_view Oberwolfach Seminar on Projection Based Model Reduction] November 23rd - 29th, 2014; Oberwolfach (Germany)
* [http://eu-mor.net EU-MORNET] Kick-Off Meeting September 18th - 19th; Eindhoven (Netherlands)
* [http://www2.le.ac.uk/departments/mathematics/extranet/conferences/model-reduction-across-disciplines Model reduction across disciplines] August 19th - 22nd, 2014; Leicester (United Kingdom)
* [http://wwwmath.uni-muenster.de/rbss2014 Reduced Basis Summer School 2014] August 18th - 22nd, 2014; Muenster (Germany)
* Bay Area ROM Workshop, August 7th, 2014; Livermore (USA)

* Minisymposia at [http://www.wccm-eccm-ecfd2014.org IACM-ECCOMAS 2014] July 20th - 25th, 2014; Barcelona (Spain)
** "[http://congress.cimne.com/iacm-eccomas2014/admin/Files/FileAbstract/a239.pdf MS239: Multibody System Dynamics and Modal Reduction]"
** "[http://congress.cimne.com/iacm-eccomas2014/admin/Files/FileAbstract/a15.pdf MS015: Reduced Basis, POD and PGD Model Reduction Techniques]"
** "[http://congress.cimne.com/iacm-eccomas2014/admin/Files/FileAbstract/a141.pdf MS141: Reduced Order Models in Vibroacoustics]"
** "[http://congress.cimne.com/iacm-eccomas2014/admin/Files/FileAbstract/a69.pdf MS069: Advanced Reduced-order Modeling Strategies for Parametrized PDEs and Applications]"

* Session at [http://www.siam.org/meetings/an14/ SIAM Annual Meeting 2014], July 7th - 11th; Chicago (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=19618 CP1 - Reduced Order Models]"
* Sessions at the [http://ecc14.eu European Control Conference 2014] June 24th- 27th, 2014; Strasbourg (France)
** "[https://controls.papercept.net/conferences/conferences/ECC14/program/ECC14_ContentListWeb_3.html#tha2 Model and Controller Reduction I]"
** "[https://controls.papercept.net/conferences/conferences/ECC14/program/ECC14_ContentListWeb_4.html#frc2 Model and Controller Reduction II]"
* Session at [http://acc2014.a2c2.org/ American Control Conference] June 4th - 6th, 2014; Portland (USA)
** "[https://css.paperplaza.net/conferences/conferences/2014ACC/program/2014ACC_ContentListWeb_1.html#wea04 Reduced Order Modeling]"
* Sessions at [http://siam.org/meetings/uq14/ SIAM Conference on Uncertainty Quantification] March 31st - April 3rd; Savannah (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=18137 MS10 - Model-Reduction Techniques for Quantifying and Controlling Uncertainty]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=18298 MT3 - Reduced Order Methods for Modelling and Computational Reduction in UQ Problems]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=18664 CP11 - Reduced-order Modeling]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=18192 MS67 - Surrogate and Reduced Order Modeling for Statistical Inversion and Prediction - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=18193 MS77 - Surrogate and Reduced Order Modeling for Statistical Inversion and Prediction - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=17858 MS87 - Uncertainty Quantification via Dimension Reduction: Deterministic and Stochastic Approaches]"
* [http://jahrestagung.gamm-ev.de/index.php/scientific-program/minisymposia Parametric Model Reduction of Dynamical Systems] Minisymposium at the [http://jahrestagung.gamm-ev.de/ GAMM annual meeting 2014] March 10th - 14th, 2014; Erlangen (Germany)

===2013===
* [http://www2.mpi-magdeburg.mpg.de/mpcsc/events/ModRed/2013/ ModRed 2013] December 11th - 13th, 2013; Magdeburg (Germany)
* [http://www.mathos.unios.hr/locschool2013/ DAAD International School on Linear Optimal Control of Dynamic Systems] September 23rd - 28th; Osijek (Croatia)
* [http://www.ma.tum.de/IGDK1754/SummerSchool2013 Summerschool "Reduced Basis Methods - Fundamentals and Applications"] September 16th - 19th; Munich (Germany)
* Reduced Basis Summer School 2013 August, 2013; Aachen (Germany)
* [http://enumath2013.epfl.ch Enumath] Minisymposium "Reduced order modelling for the simulation of complex systems" August 26th - 30th, 2013, Lausanne (Switzerland)
* Sessions at the [http://www.ecc13.ethz.ch European control Conference 2013] July 17th - 19th, 2013; Zurich (Switzerland)
** "[https://controls.papercept.net/conferences/conferences/ECC13/program/ECC13_ContentListWeb_4.html#fra12 Reduced Order Systems]"
** "[https://controls.papercept.net/conferences/conferences/ECC13/program/ECC13_ContentListWeb_4.html#frc12 Model Reduction]"
* [http://modelreduction.net/workshops/4th-annual 4th International Workshop on Model Reduction in Reacting Flows] June 19th - 21st, 2013, San Francisco (USA)
* Sessions at [http://acc2013.a2c2.org American Control Conference] June 17th - 19th, 2013; Washington D.C. (USA)
** "[https://css.paperplaza.net/conferences/conferences/2013ACC/program/2013ACC_ContentListWeb_3.html#web05 Reduced-Order Modeling]"
* [http://modredcirm2013.uni-muenster.de/ CIRM workshop Model Reduction and Approximation for Complex Systems] June 10th - 14th, 2013; Marseille (France)
* [http://www.tapir.caltech.edu/~rom-gr/ Reduced Order Modelling in General Relativity] June 6th - 7th, 2013; Pasadena (USA)
* Sessions at the [http://www.siam.org/meetings/cse13 SIAM Conference on Computational Science and Engineering] February 25th - March 1st; Boston (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15551 MS20 - Structure-preserving Model Order Reduction of Large-scale Dynamical Systems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15552 MS40 - Structure-preserving Model Order Reduction of Large-scale Dynamical Systems - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15728 MS14 - Model Reduction and Surrogate Modeling Advances in Porous Media Flow Simulation and Optimization - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15729 MS34 - Model Reduction and Surrogate Modeling Advances in Porous Media Flow Simulation and Optimization - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15547 MS104 - Data-Driven Model Reduction - Part I of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15548 MS138 - Data-Driven Model Reduction - Part II of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15549 MS194 - Data-Driven Model Reduction - Part III of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15676 MS144 - Nonlinear Model Reduction of Complex Flows: Modeling, Analysis, and Computations - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15677 MS182 - Nonlinear Model Reduction of Complex Flows: Modeling, Analysis, and Computations - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15639 MS45 - Data Driven and Nonliner Model Reduction - Parts I of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15640 MS68 - Data Driven and Nonliner Model Reduction - Parts II of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15641 MS116 - Data Driven and Nonliner Model Reduction - Parts III of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15422 MS95 - Reduced Order Modelling for Complex Systems in CFD - Part I of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15423 MS164 - Reduced Order Modelling for Complex Systems in CFD - Part II of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15424 MS244 - Reduced Order Modelling for Complex Systems in CFD - Part III of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15758 MS219 - Model Order Reduction: Recent Advances and Challenges - Part I of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15759 MS257 - Model Order Reduction: Recent Advances and Challenges - Part II of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15760 MS272 - Model Order Reduction: Recent Advances and Challenges - Part III of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=15952 CP12 - Model Reduction and Data-Driven Approaches]"

===2012===
* [http://www.morepas.org/workshop2012/index.html MoRePaS 2] October 2nd - 5th, 2012; Günzburg (Germany)
* [http://www.mathematik.uni-stuttgart.de/fak8/ians/lehrstuhl/agh/misc/events/rbm_workshop_2012.html Reduced Basis Summer School 2012] August 28th - 31st; Stuttgart (Germany)
* [http://www.math.uni-hamburg.de/moa/ Workshop on Adaptivity and Model Order Reduction in PDE Constrained Optimization] July 23rd - 27th; Hamburg (Germany)
* Sessions at [http://acc2012.a2c2.org/ American Control Conference] June 27th - 29th, 2012; Montreal (Canada)
** "[https://css.paperplaza.net/conferences/conferences/2012ACC/program/2012ACC_ContentListWeb_1.html#wec20 Reduced Order Modeling]"
* [https://www.cecam.org/workshop-2-681.html Reduced Basis, POD and Reduced Order Methods for model and computational reduction: towards real-time computing and visualization?] May 14 - 16th; Lausanne (Switzerland)
* [https://www2.mpi-magdeburg.mpg.de/mpcsc/news/program_tegernsee.pdf Workshop on Nonlinear MOR] May 6th - 9th; Tegernsee (Germany)
* Minisymposia at [http://siam.org/meetings/uq12/ SIAM Conference on Uncertaity Quantification] April 2nd - 6th; Raleigh (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=14305 MS58 - Model Reduction for Nonlinear Dynamical Systems]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=14520 MS80 - Reduced Order Modeling for High Dimensional Nonlinear Models]"

===2011===
* [http://www.math.uni-konstanz.de/numerik/pod/workshop Advances in POD and RB Model-Order Reduction] November 21st, 2011; Konstanz (Germany)
* [http://www.uni-ulm.de/mawi/mawi-numerik/aktuelles/summer-school-rbm.html Reduced Basis Summer School 2011] October 25th - 28th; Ulm (Germany)
* [http://www2.mpi-magdeburg.mpg.de/mpcsc/events/trogir/ Summer School on Numerical Linear Algebra for Dynamical and High-Dimensional Problems] October 10th - 15th; Trogir (Croatia)
* [http://www.math.uni-bremen.de/zetem/cms/detail.php?template=gamm_parse_title&person=gamm11/program GAMM Workshop Applied and Numerical Linear Algebra with Special Emphasis on Model Reduction] September 21st - 22nd; Bremen (Germany)
* Sessions at [http://iciam.org/event/iciam-2011-%E2%80%93-vancouver 7th International Congress on Industrial and Applied Mathematics] July 18th - 22nd; Vancouver (Canada)
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=11230 MS38 - Optimal Parameter Sampling in Model Reduction - Part I of III]"
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=11231 MS87 - Optimal Parameter Sampling in Model Reduction - Part II of III]"
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=11232 MS136 - Optimal Parameter Sampling in Model Reduction - Part III of III]"
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=11296 MS148 - Structure-Preserving Model Reduction - Part I of III]"
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=11297 MS199 - Structure-Preserving Model Reduction - Part II of III]"
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=11298 MS256 - Structure-Preserving Model Reduction - Part III of III]"
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=11452 MS340 - Dynamical Systems Approaches to Model Reduction -- Part I of II]"
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=12051 MS388 - Dynamical Systems Approaches to Model Reduction -- Part II of II]"
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=11877 MS363 - Reduced Basis Methods and their Applications - Part I of IV]"
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=11878 MS416 - Reduced Basis Methods and their Applications - Part II of IV]"
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=11879 MS462 - Reduced Basis Methods and their Applications - Part III of IV]"
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=11880 MS511 - Reduced Basis Methods and their Applications - Part IV of IV]"
** "[https://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=13350 CP36 - Reduced Order Models]"
* [http://www.modelreduction.net/iwmrrf2011/site/ 3rd International Workshop on Model Reduction in Reacting Flows] April 27th - 29th; Corfu (Greece)
* Session at the [http://siam.org/meetings/cse11 SIAM Conference on Computational Science and Engineering] February 28th - March 4th; Reno (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=10982 MS18 - Model Reduction of Nonlinear and Parametrized Systems - Part I of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=10983 MS26 - Model Reduction of Nonlinear and Parametrized Systems - Part II of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=10984 MS40 - Model Reduction of Nonlinear and Parametrized Systems - Part III of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=11497 MS39 - Model Order Reduction Using Graph Theory and Numerical Linear Algebra]"
* [http://www.wias-berlin.de/workshops/MOR2011/ Workshop on Model Order Reduction in Optimization and Control with PDEs] January 26th - 28th; Berlin (Germany)

===2010===
* [http://www.ians.uni-stuttgart.de/MoRePaS/events/Ulm10/index.html Workshop on RB Methods] December 7th - 8th, 2010; Ulm (Germany)
* [http://www3.math.tu-berlin.de/modred2010/ ModRed 2010] December 2nd - 4th, 2010; Berlin (Germany)
* Sessions at [http://www.siam.org/meetings/an10/ SIAM Annual Meeting 2010], July 12th - 16th, 2010; Pittsburgh (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=10125 MS2 - Advances in Model Reduction for Large-Scale Problems - Part I of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=10126 MS38 - Advances in Model Reduction for Large-Scale Problems - Part II of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=10127 MS51 - Advances in Model Reduction for Large-Scale Problems - Part III of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=10202 MS33 - Reduced Order Models for Dynamical Systems]"
* Minisymposium "[http://www.eccomas-cfd2010.org/minisymposia.php Model Order Reduction of Complex Systems in CFD]" at [http://www.eccomas-cfd2010.org ECCOMAS CFD]; June 14th - 17th, 2010; Lisbon (Portugal)

===2009===
* Sessions at [https://archive.siam.org/meetings/la09/index.php SIAM Conference on Applied Linear Algebra] October 26 th 29th, 2009; Monterey Bay-Seaside (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=8992 MS14 - Model Order Reduction for Dynamical Systems - Part I of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=8993 MS20 - Model Order Reduction for Dynamical Systems - Part II of III]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=8994 MS32 - Model Order Reduction for Dynamical Systems - Part III of III]"
* [http://www.win.tue.nl/casa/meetings/special/mor09/ Autumn School on Future Developments in Model Order Reduction] September 21st - 25th, 2009; Terschelling (Netherlands)
* [http://www.uni-muenster.de/CeNoS/ocs/index.php/MRP/MRP09/ MoRePaS] September 16th - 18th, 2009; Münster (Germany)
* Session at [http://www.siam.org/meetings/an09/ SIAM Annual Meeting 2009] July 6th - 10th, 2009; Denver (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=8863 CP20 - Model Reduction]"
* [http://modelreduction.net/iwmrrf2009/ 2nd International Workshop on Model Reduction in Reacting Flows] March 30th - April 1st, 2009 Notre Dame (USA)
* [http://www.cl.eps.manchester.ac.uk/medialand/maths/archived-events/workshops/www.mims.manchester.ac.uk/events/workshops/HSMoR09/ CICADA Workshop on Hybrid Systems and Model Reduction] March 19th - 20th, 2009 Manchester (England)
* Sessions at the [http://siam.org/meetings/cse09 SIAM Conference on Computational Science and Engineering] March 2nd - 6th, 2009; Miami (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=8306 CP12 - Model Reduction]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=7918 MS106 - Model Reduction - Part I of V]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=7919 MS119 - Model Reduction - Part II of V]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=7920 MS127 - Model Reduction - Part III of V]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=7921 MS141 - Model Reduction - Part IV of V]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=7922 MS151 - Model Reduction - Part V of V]"

===2008===

* [https://www.math.uni-hamburg.de/spag/zms/syrene/ Model Reduction for Circuit Simulation] October 30th - 31st, 2008; Hamburg (Germany)
* Session at [http://acc2008.a2c2.org/ American Control Conference] June 11th - 13th, 2008; Seattle (USA)
** "[https://css.paperplaza.net/conferences/conferences/2008ACC/program/2008ACC_ContentListWeb_3.html#fra11 Model Reduction]"

===2007===
* [http://www.win.tue.nl/casa/meetings/special/mor07/ Symposium on Recent Advances in Model Order Reduction] November 23rd, 2007; Eindhoven (Netherlands)
* [http://modelreduction.net/ModelReductionWorkshop/Home%20Page.html 1st International Workshop on Model Reduction in Reacting Flows] September 3rd - 5th, 2007; Rome (Italy)
* Sessions at [http://iciam.org/event/iciam-2007-%E2%80%93-zurich 6th International Congress for Industrial and Applied Mathematics] July 16th - 20th, 2007; Zurich (Switzerland)
** "[http://iciamold.jsiam.org/iciam2007/ICIAM07-ProgramBook.pdf#IC/MP/002/S/346 Model reduction: theory, methodology and software #1]"
** "[http://iciamold.jsiam.org/iciam2007/ICIAM07-ProgramBook.pdf#IC/MP/002/S/346-2 Model reduction: theory, methodology and software #2]"
** "[http://iciamold.jsiam.org/iciam2007/iciam07_programbook.pdf#IC/MP/020/S/347 Model reduction: structured and higher-order systems #1]"
** "[http://iciamold.jsiam.org/iciam2007/iciam07_programbook.pdf#IC/MP/020/S/347-2 Model reduction: structured and higher-order systems #2]"
** "[http://iciamold.jsiam.org/iciam2007/iciam07_programbook.pdf#IC/MP/020/P/348 Model reduction in circuit simulation #1]"
** "[http://iciamold.jsiam.org/iciam2007/ICIAM07-ProgramBook.pdf#IC/MP/020/P/348-2 Model reduction in circuit simulation #2]"
* Session at [http://acc2007.a2c2.org/ American Control Conference] July 11th - 13th, 2007; New York (USA)
** "[https://css.paperplaza.net/conferences/conferences/2007ACC/program/2007ACC_ContentListWeb_1.html#web07 Reduced Order Modeling]"
* Sessions at [https://archive.siam.org/meetings/ct07/index.php SIAM Conference on Control and its Application] June 29th - July 1st, 2007; San Francisco (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=6338 MS16 - Model Reduction for Control and Dynamical Systems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=6339 MS21 - Model Reduction for Control and Dynamical Systems - Part II of II]"
* Sessions at [http://siam.org/meetings/cse07 SIAM Conference on Computational Science and Engineering] February 19th - 23rd, 2007; Costa Mesa (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=5955 MS36 - Model Order Reduction and Automated Behavioural Modeling - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=6029 MS48 - Model Order Reduction and Automated Behavioural Modeling - Part II of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=6137 CP12 - Reduced Order Modelling]"

===2006===
* Session "Model Reduction" at [http://www.eurosime.org/b06.htm EuroSimE 2006] April 24th - 26th, 2006; Como (Italy)

* Minisymposia at [http://www.siam.org/meetings/an06/index.php SIAM Annual Meeting 2006] July 10th - 14th, 2006; Boston (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=5357 MS13 - Model Reduction of Dynamical Systems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=5358 MS31 - Model Reduction of Dynamical Systems - Part II of II]"

===2005===
* [http://www.lorentzcenter.nl/lc/web/2005/160/info.php3?wsid=160. Model order reduction, coupled problems and optimization] September 19th - 23rd, 2005; Leiden (Netherlands)

* Minisymposia at [http://www.siam.org/meetings/an05/index.htm SIAM Annual Conference 2005] July 11th - 15th, 2005; New Orleans (USA)
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=4372 MS43 - Model Reduction for Large Scale Dynamical Systems - Part I of II]"
** "[http://meetings.siam.org/sess/dsp_programsess.cfm?SESSIONCODE=4373 MS55 - Model Reduction for Large Scale Dynamical Systems - Part II of II]"

===2004===
* [https://www.birs.ca/events/2004/5-day-workshops/04w5513 Model Reduction Problems and Matrix Methods] April 3rd - 8th; Banff (Canada)

===2003===
* [http://web.archive.org/web/20070612131401/http://www.math.tu-berlin.de/numerik/mt/NumMat/Meetings/0310_MFO/ Dimensional Reduction of Large-Scale Systems] October 19th - 25th, 2003 Oberwolfach (Germany)

===2001===
* [https://research.tue.nl/en/activities/macsi-workshop-on-model-reduction MACSI workshop on Model Reduction] October 8th - 9th, 2001; Eindhoven (Netherlands)
* Minisymposium at [http://user.it.uu.se/~icosahom/ International Conference On Spectral and High Order Methods] June 11th - 15th, 2001; Uppsala (Sweden)
** "Reduced-Basis Methods for Partial Differential Equations"

===2000===
* Session at the [https://archive.siam.org/meetings/cse00/ First SIAM Conference on Computational Science and Engineering] September 21st - 24th, 2000; Washington D.C. (USA)
** "[https://archive.siam.org/meetings/cse00/cp25.htm CP25 - Model Reduction, Validation and Data Assimilation]"

===1999===
* Minisymposia at the [http://iciam.org/event/iciam-1999-%E2%80%93-edinburgh 4th International Council for Industrial and Applied Mathematics Congress] July 5th - 9th, 1999; Edinburgh (Scotland)
** "[http://www.macs.hw.ac.uk/archive/iciam99/PrintedProgramme/BookOfAbstracts.pdf#page=171 MSP-187 Reduced-Order Modeling of Large-Scale Systems and Applications in Industry]"
** "[http://www.macs.hw.ac.uk/archive/iciam99/PrintedProgramme/BookOfAbstracts.pdf#page=187 MSP-205,206 Methods of Dimension Reduction]"

Category:Nonzero initial condition

2022-08-31T19:10:59Z

Himpe:

[[Category:benchmark]]

Although reduced basis methods can deal with systems with non-zero initial conditions, some MOR methods like classic Gramian based MOR ( e.g. balanced truncation ) or moment-matching MOR, cannot be directly applied to systems with non-zero initial conditions. However, systems with non-zero initial conditions are very common, for example, in the filed of chemical engineering, and hence deserve attention.

Category talk:Nonzero initial condition

2022-08-31T19:10:42Z

Himpe: Blanked the page

Category:Linear

2022-08-31T19:09:04Z

Himpe: Created page with "All benchmark pages describing linear systems are part of this category."

All benchmark pages describing linear systems are part of this category.

Category:Differential algebraic system

2022-08-31T19:06:46Z

Himpe:

[[Category:benchmark]]

Category:First differential order

2022-08-31T19:06:39Z

Himpe:

[[Category:benchmark]]

All benchmark pages describing first order systems are part of this category.

Category:MIMO

2022-08-31T19:06:18Z

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[[Category:benchmark]]

Multiple-Input-Multiple-Output benchmarks

Category:Nonzero initial condition

2022-08-31T19:06:09Z

Himpe:

[[Category:benchmark]]

Although reduced basis methods can deal with systems with non-zero initial conditions, some MOR methods like Gramian based MOR ( e.g. balanced truncation ) or moment-matching MOR, cannot be directly applied to systems with non-zero initial conditions. However, systems with non-zero initial conditions are very common, for example, in the filed of chemical engineering, and hence deserve attention.

Category:Parametric

2022-08-31T19:05:59Z

Himpe:

[[Category:benchmark]]

Category:SISO

2022-08-31T19:05:51Z

Himpe:

[[Category:benchmark]]

Single-Input-Single-Output Benchmarks

Category:Second differential order

2022-08-31T19:05:40Z

Himpe:

[[Category:benchmark]]

All benchmark pages describing second order systems are part of this category.

Category:Time invariant

2022-08-31T19:05:30Z

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[[Category:benchmark]]

All benchmark pages describing time invariant systems are part of this category.

Category:Time varying

2022-08-31T19:05:17Z

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[[Category:benchmark]]

All benchmark pages describing time varying systems are part of this category.

Coplanar Waveguide

2022-08-25T13:11:17Z

Himpe:

[[Category:benchmark]]
[[Category:PDE]]
[[Category:Parametric]]
[[Category:linear]]
[[Category:affine parameter representation]]
[[Category:Stationary]]

==Description==

A '''coplanar waveguide''' (see Fig. 1) is a microwave semiconductor device, which is governed by [[wikipedia:Maxwell's_equations|Maxwell's equations]].
The [[wikipedia:Coplanar_waveguide|coplanar waveguide]] considered with dielectric overlay, i.e. a transmission line shielded within two layers of multilayer board with <math>0.5mm</math> thickness are buried in a substrate with <math>10mm</math> thickness and relative permittivity
<math>\epsilon_r = 4.4 </math> and relative permeability <math>\mu_r = 1 </math>, and low conductivity <math>\sigma = 0.02 S/m </math>.
The low-loss upper layer has low permittivity <math>\epsilon_r = 1.07 </math> and <math>\sigma = 0.01 S/m</math>.
The whole structure is enlosed in a metallic box of dimension <math>140mm</math> by <math>100mm</math> by <math>50mm</math>.
The discrete port with <math>50Ohm</math> lumped load imposes <math>1 A</math> current as the input to the one side of the strip.
The voltage along the discrete port 2 at the end of the other side of coupled lines is integrated as the output.

<figure id="fig:coplanar">
[[File:CoplanarWaveguideScaled.jpg|frame|<caption>Coplanar Waveguide Model<ref name="hess2003"/></caption>]]
</figure>

==Data==

Considered parameters are the frequency <math> \omega </math> and the width <math> \nu </math> of the middle stripline.

The affine form <math> a(u, v; \omega, \nu) = \sum_{q=1}^Q \Theta^q(\omega, \nu) a^q(u, v) </math> can be established using <math> Q = 15 </math> affine terms.

The discretized bilinear form is <math> a(u, v; \omega, \nu) = \sum_{q=1}^Q \Theta^q(\omega, \nu) A^q </math>, with matrices <math> A^q </math>.

The matrices corresponding to the bilinear forms <math> a^q( \cdot , \cdot ) </math> as well as the input and output forms and H(curl) inner product matrix have been assembled
using the Finite Element Method, resulting in 7754 degrees of freedom, after removal of boundary conditions. The files are numbered according to their
appearance in the summation.

The coefficient functions are given by:

:<math> \Theta^1(\omega, \nu) = 1 </math>

:<math> \Theta^2(\omega, \nu) = \omega </math>

:<math> \Theta^3(\omega, \nu) = -\omega^2 </math>

:<math> \Theta^4(\omega, \nu) = \frac{\nu}{6} </math>

:<math> \Theta^5(\omega, \nu) = \frac{6}{\nu} </math>

:<math> \Theta^6(\omega, \nu) = \frac{6 \omega}{\nu} </math>

:<math> \Theta^7(\omega, \nu) = -\frac{6 \omega^2}{\nu} </math>

:<math> \Theta^8(\omega, \nu) = \frac{\nu \omega}{6} </math>

:<math> \Theta^9(\omega, \nu) = -\frac{\nu \omega^2}{6} </math>

:<math> \Theta^{10}(\omega, \nu) = \frac{16 - \nu}{10} </math>

:<math> \Theta^{11}(\omega, \nu) = \frac{10}{16 - \nu} </math>

:<math> \Theta^{12}(\omega, \nu) = \frac{10 \omega}{16 - \nu} </math>

:<math> \Theta^{13}(\omega, \nu) = -\frac{10 \omega^2}{16 - \nu} </math>

:<math> \Theta^{14}(\omega, \nu) = \frac{16 - \nu}{10} \omega </math>

:<math> \Theta^{15}(\omega, \nu) = -\frac{16 - \nu}{10} \omega^2 </math>

The parameter domain of interest is <math>\omega \in [0.6, 3.0] \cdot 10^9 </math> Hz, where the factor of <math>10^9 </math> has already been taken into account
while assembling the matrices, while the geometric variation occurs between <math> \nu \in [2.0, 14.0]</math>.
The input functional also has a factor of <math> \omega </math>.

There are two output functionals, which is due to the fact that the complex system has been rewritten as a real symmetric one.
In particular the computation of the output

<math>s(u) = | l^T * u |</math> with complex vector <math>u</math> turns into <math>s(u) = \sqrt{ (l_1^T * u)^2 + (l_2^T * u)^2 }</math> with real vector <math> u </math>.

==Origin==

The models have been developed within the [http://www.moresim4nano.org MoreSim4Nano] project.

==Data==

The files are numbered according to their appearance in the summation and can be found here: [[Media:Matrices_cp.tar.gz|Matrices_cp.tar.gz]].

==Dimensions==

System structure:

:<math>
\begin{array}{rcl}
\sum_{q=1}^{15} \Theta^q(\omega, \nu) A^q u &=& b \\
s &=& \sqrt{ (l_1^T * u)^2 + (l_2^T * u)^2 }
\end{array}
</math>

System dimensions:

<math>A^q \in \mathbb{R}^{15504 \times 15504}</math>,
<math>b \in \mathbb{R}^{15504}</math>,
<math>l_1 \in \mathbb{R}^{15504}</math>,
<math>l_2 \in \mathbb{R}^{15504}</math>.

==Citation==
To cite this benchmark, use the following references:

* For the benchmark itself and its data:
::The MORwiki Community, '''Coplanar Waveguide'''. MORwiki - Model Order Reduction Wiki, 2018. http://modelreduction.org/index.php/Coplanar_Waveguide

@MISC{morwiki_waveguide,
author = <nowiki>{{The MORwiki Community}}</nowiki>,
title = {Coplanar Waveguide},
howpublished = {{MORwiki} -- Model Order Reduction Wiki},
url = <nowiki>{http://modelreduction.org/index.php/Coplanar_Waveguide}</nowiki>,
year = {2018}
}

* For the background on the benchmark:
@ARTICLE{morHesB13,
author = {Hess, M.~W. and Benner, P.},
title = {Fast Evaluation of Time-Harmonic {M}axwell's Equations Using the Reduced Basis Method},
journal = {{IEEE} Trans. Microw. Theory Techn.},
volume = 61,
number = 6,
pages = {2265--2274},
year = 2013,
doi = {10.1109/TMTT.2013.2258167}
}

==References==

<references>

<ref name="hess2003">M.W. Hess, P. Benner, "[https://doi.org/10.1109/TMTT.2013.2258167 Fast Evaluation of Time-Harmonic Maxwell's Equations Using the Reduced Basis Method]", IEEE Transactions on Microwave Theory and Techniques, 61(6): 2265--2274, 2013.</ref>

</references>

==Contact==

'' [[User:hessm|Martin Hess]]''

MESS

2022-08-25T13:06:34Z

Himpe:

[[Category:Software]]
[[Category:Linear algebra]]
[[Category:sparse]]
[[Category:Octave]]
[[Category:MATLAB]]

[http://www.mpi-magdeburg.mpg.de/projects/mess MESS], the '''M'''atrix '''E'''quations and '''S'''parse '''S'''olvers library, is the successor to the [http://www.netlib.org/lyapack/ Lyapack Toolbox] for MATLAB. It is available as a MATLAB toolbox, as well as, a C-library. It is intended for solving large sparse matrix equations as well as problems from model order reduction and optimal control. The C version provides a large set of auxiliary subroutines for sparse matrix computations and efficient usage of modern multicore workstations.

== Features ==
A list of the main features (some partially finished at the current stage) of both the MATLAB and C versions is:
* Solvers for large and sparse matrix Riccati (algebraic and differential) and Lyapunov (algebraic) equations
* Balanced Truncation based MOR for first and second order state space systems and index 1 DAEs
* <math>\mathcal{H}_2</math>-MOR via the IRKA and TSIA algorithms
* Basic tools for Large sparse linear quadratic optimal control problems

'''The C version moreover provides:'''
* sophisticated Multicore parallelism
* compressed file I/O
* uniform access to linear algebra routines
* specially structured Sylvester equation solvers
* interfaces to [http://www.netlib.org/blas BLAS], [http://www.netlib.org/lapack LAPACK], [http://www.cise.ufl.edu/research/sparse/SuiteSparse/ Suitesparse], [http://www.slicot.org Slicot]
== Further Reading ==
* P. Benner, M. Köhler, J. Saak; ''Matrix equations, sparse solvers: M-M.E.S.S.-2.0.1 - philosophy, features and application for (parametric) model order reduction''; In: Model Reduction of Complex Dynamical Systems, pp. 369 - 392 (Eds. Benner, P.; Breiten, T.; Faßbender, H.; Hinze, M.; Stykel, T. et al.). Birkhäuser, Cham, Switzerland, 2021 [https://doi.org/10.1007/978-3-030-72983-7_18 DOI] [https://morwiki.mpi-magdeburg.mpg.de/BibTeX/html/mor_bib.html#morBenKS21 BibTeX].
* J. Saak, M. Voigt; ''Model reduction of constrained mechanical systems in M-M.E.S.S''; IFAC-PapersOnLine, 51(2): 661–666, 2018. [https://doi.org/10.1016/j.ifacol.2018.03.112 DOI] [https://morwiki.mpi-magdeburg.mpg.de/BibTeX/html/mor_bib.html#morSaaV18 BibTeX]
* P. Benner, J. Saak; ''Efficient solution of large scale Lyapunov and Riccati equations arising in model order reduction problems''; Proceedings in Applied Mathematics and Mechanics, 8(1), Wiley InterScience; 2008. [https://doi.org/10.1002/pamm.200810085 DOI].

== Contact ==
[[User:Saak| Jens Saak]]

Category:Second differential order

2022-08-25T13:03:48Z

Himpe: Created page with "All benchmark pages describing second order systems are part of this category."

All benchmark pages describing second order systems are part of this category.

Category:First differential order

2022-08-25T13:03:23Z

Himpe: Created page with "All benchmark pages describing first order systems are part of this category."

All benchmark pages describing first order systems are part of this category.

Thermal Model

2022-08-25T13:01:53Z

Himpe:

[[Category:benchmark]]
[[Category:Oberwolfach]]
[[Category:parametric]]
[[Category:ODE]]
[[Category:linear]]
[[Category:first differential order]]
[[Category:time invariant]]
[[Category:MIMO]]
[[Category:Sparse]]

==Description: Boundary Condition Independent Thermal Model==
<figure id="fig1">[[File:ThermalModel.jpg|490px|thumb|right|<caption>A 2D-axisymmetrical model of the micro-thruster unit (not scaled). A heater is shown by a red spot.</caption>]]</figure>
A benchmark for the heat transfer problem with variable [[wikipedia:Heat_transfer_coefficient|film coefficients]] is presented.
It can be used to apply parametric model reduction algorithms to a linear first-order problem.

===Modeling===

An important requirements for a compact thermal model is that it should be independent from the boundary condition.
This means that a chip producer does not know conditions under which the chip will be used and hence the chip compact thermal model must allow an engineer to research on how the change in the environment influences the chip temperature.
The chip benchmarks representing boundary condition independent requirements are described in <ref name="lasance2001"/>.

Let us briefly describe the mathematical problem.
The thermal problem can be modeled by the heat transfer partial differential equation

:<math id="eq1">
\begin{align}
\nabla \cdot (\kappa(r)\nabla T(r,t)) + Q(r,t) - \rho(r)C_{p}(r)\frac{\partial T(r,t)}{\partial t} & = 0, & (1)
\end{align}
</math>

with <math>r</math> is the position, <math>t</math> is the time, <math>\kappa</math> is the thermal conductivity of the material, <math>C_{p}</math> is the specific heat capacity, <math>\rho</math> is the mass density, <math>Q</math> is the heat generation rate, and <math>T</math> is the unknown temperature distribution to be determined.
The heat exchange through device interfaces is usually modeled by convection boundary conditions

:<math id="eq2">
\begin{align}
q & = h_{i}(T - T_{bulk}), & (2)
\end{align}
</math>

where <math>q</math> is the heat flow through a given point, <math>h_{i}</math> is the film coefficient to describe the heat exchange for the <math>i</math>-th interface, <math>T</math> is the local temperature at this point, and <math>T_{bulk}</math> is the bulk temperature in the neighboring phase (in most cases <math>T_{bulk} = 0</math>).

After the discretization of equations [[#eq1|(1)]] and [[#eq2|(2)]] one obtains a system of ordinary differential equations as follows

:<math id="eq3">
\begin{align}
E \dot{x}(t) & = (A + \sum_{i} h_{i} A_{i})x(t) + b, & (3)
\end{align}
</math>

where <math>E</math> and <math>A</math> are the device system matrices, <math>A_i</math> is the diagonal matrix due to the discretization of equation [[#eq2|(2)]] for the <math>i</math>-th interface, <math>x(t)</math> is the vector with unknown temperatures.

In terms of the equation [[#eq3|(3)]] above, the engineering requirements read as follows.
A chip producer specifies the system matrices but the film coefficient, <math>h_i</math>, is controlled later on by another engineer.
As such, any reduced model to be useful should preserve <math>h_i</math> in the symbolic form.
This problem can be mathematically expressed as parametric model reduction<ref name="weile1999"/><ref name="gunupudi2003"/><ref name="daniel2004"/>.

Unfortunately, the benchmark from <ref name="lasance2001"/> is not available in the computer readable format.
For research purposes, we have modified a [[Micropyros_Thruster|Micropyros Thruster benchmark]] (see Fig. 1).
In the context of the present work, the model is as a generic example of a device with a single heat source when the generated heat dissipates through the device to the surroundings. The exchange between surrounding and the device is modeled by convection boundary conditions with different film coefficients at the top, <math>h_{top}</math>, bottom, <math>h_{bottom}</math>, and the side, <math>h_{side}</math>.
From this viewpoint, it is quite similar to a chip model used as a benchmark in <ref name="lasance2001"/>.
The goal of parametric model reduction in this case is to preserve <math>h_{top}</math>, <math>h_{bottom}</math>, and <math>h_{side}</math> in the reduced model in the symbolic form.

===Discretization===

We have used a 2D-axisymmetric microthruster model (T2DAL in [[Micropyros_Thruster|Micropyros Thruster]]).

The model has been made in [http://www.ansys.com/ ANSYS] and system matrices have been extracted by means of [http://portal.uni-freiburg.de/imteksimulation/downloads/mor4fem mor4fem] <ref name="rudnyi2004"/>.
The benchmark contains a constant load vector.
The input function equal to one corresponds to the constant input power of <math>15 mW</math>.

The linear ordinary differential equations of first order are written as:

:<math>
\begin{align}
E \dot{x}(t) & = (A - h_{top} A_{top} - h_{bottom} A_{bottom} - h_{side} A_{side}) x(t) + b \\
y & = Cx(t)
\end{align}
</math>

where <math>E</math> and <math>A</math> are the symmetric sparse system matrices (heat capacity and heat conductivity matrix), <math>b</math> is the load vector, <math>C</math> is the output matrix, <math>A_{top}</math>, <math>A_{bottom}</math>, and <math>A_{side}</math> are the diagonal matrices from the discretization of the convection boundary conditions and <math>T</math> is the vector of unknown temperatures.

The numerical values of film coefficients, <math>h_{top}</math>, <math>h_{bottom}</math>, and <math>h_{side}</math> can be from <math>1</math> to <math>10^9</math>.
Typical important sets film coefficients can be found in <ref name="lasance2001"/>.
The allowable approximation error is <math>5\%</math> <ref name="lasance2001"/>.

The benchmark has been used in <ref name="feng2004"/><ref name="feng2005"/> where the problem is also described in more detail.

==Acknowledgements==

This work was partially funded by the DFG project '''MST-Compact (KO-1883/6)''', the Italian research council CNR together with the Italian province of Trento PAT, by the German Ministry of Research BMBF (SIMOD), and an operating grant of the University of Freiburg.

==Origin==

This benchmark is part of the '''Oberwolfach Benchmark Collection'''<ref name="korvink2005"/>; No. 38865, see <ref name="rudnyi2005"/>.

==Data==

The matrices of this benchmark can be downloaded in the [http://math.nist.gov/MatrixMarket/ Matrix Market] format:

* [https://csc.mpi-magdeburg.mpg.de/mpcsc/MORWIKI/Oberwolfach/ThermalModel-dim1e3-T2DAL_BCI.tar.gz ThermalModel-dim1e3-T2DAL_BCI.tar.gz], 218.7 kB.

The matrix name is used as an extension of the matrix file. File <tt>T2DAL_BCI.C.names</tt> contains a list of output names written consecutively.

==Dimensions==

System structure:

:<math>
\begin{align}
E \dot{x}(t) & = (A + h_{top}A_{top} + h_{bottom}A_{bottom} + h_{side}A_{side}) x(t) + b \\
y(t) & = Cx(t)
\end{align}
</math>

System dimensions:

<math>E \in \mathbb{R}^{4257 \times 4257}</math>,
<math>A \in \mathbb{R}^{4257 \times 4257}</math>,
<math>A_{top} \in \mathbb{R}^{4257 \times 4257}</math>,
<math>A_{bottom} \in \mathbb{R}^{4257 \times 4257}</math>,
<math>A_{side} \in \mathbb{R}^{4257 \times 4257}</math>,
<math>b \in \mathbb{R}^{4257 \times 1}</math>,
<math>C \in \mathbb{R}^{7 \times 4257}</math>.

Parameter ranges:

<math>h_{top} \in [1,10^9]</math>,
<math>h_{bottom} \in [1,10^9]</math>,
<math>h_{side} \in [1,10^9]</math>.

==Citation==

To cite this benchmark, use the following references:

* For the benchmark itself and its data:
:: Oberwolfach Benchmark Collection, '''Thermal Model'''. hosted at MORwiki - Model Order Reduction Wiki, 2018. http://modelreduction.org/index.php/Thermal_Model

@MISC{morwiki_thermal,
author = <nowiki>{{Oberwolfach Benchmark Collection}}</nowiki>,
title = {Thermal Model},
howpublished = {hosted at {MORwiki} -- Model Order Reduction Wiki},
url = <nowiki>{http://modelreduction.org/index.php/Thermal_Model}</nowiki>,
year = 20XX
}

* For the background on the benchmark:

@TechReport{morFenRK04,
author = {Feng, L. and Rudnyi, E.~B. and Korvink, J.~G.},
title = {Parametric Model Reduction to Generate Boundary Condition Independent Compact Thermal Model},
institution = {IMTEK-Institute for Microsystem Technology},
type = {Technical report},
year = {2004},
url = <nowiki>{http://modelreduction.com/doc/papers/feng04THERMINIC.pdf}</nowiki>
}

==References==

<references>

<ref name="lasance2001">C.J.M. Lasance, "[https://doi.org/10.1109/6144.974943 Two benchmarks to facilitate the study of compact thermal modeling phenomena]", IEEE Transactions on Components and Packaging Technologies, 24: 559--565, 2001.</ref>

<ref name="weile1999">D.S. Weile, E. Michielssen, E. Grimme, K. Gallivan, "[https://doi.org/10.1016/S0893-9659(99)00063-4 A method for generating rational interpolant reduced order models of two-parameter linear systems]", Applied Mathematics Letters, 12: 93--102, 1999.</ref>

<ref name="gunupudi2003">P. K. Gunupudi, R. Khazaka, M. S. Nakhla, T. Smy, and D. Celo, "[https://doi.org/10.1109/TMTT.2003.820169 Passive parameterized time-domain macromodels for high-speed transmission-line networks]", IEEE Transactions on Microwave Theory and Techniques, 51: 2347--2354, 2003.</ref>

<ref name="daniel2004">L. Daniel, O.C. Siong, L.S. Chay, K.H. Lee, and J. White, "[https://doi.org/10.1109/TCAD.2004.826583 A Multiparameter Moment-Matching Model-Reduction Approach for Generating Geometrically Parameterized Interconnect Performance Models]", IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 23: 678--693, 2004.</ref>

<ref name="rudnyi2004">E.B. Rudnyi and J.G. Korvink, "[https://www.math.ucsd.edu/~helton/MTNSHISTORY/CONTENTS/2004LEUVEN/CDROM/papers/513.pdf Model Order Reduction of MEMS for Efficient Computer Aided Design and System Simulation]", MTNS2004, Sixteenth International Symposium on Mathematical Theory of Networks and Systems, Katholieke Universiteit Leuven, Belgium, July 5-9, 2004.</ref>

<ref name="feng2004">L. Feng, E.B. Rudnyi, J.G. Korvink, "[http://modelreduction.com/doc/papers/feng04THERMINIC.pdf Parametric Model Reduction to Generate Boundary Condition Independent Compact Thermal Model]", THERMINIC 2004, 10th International Workshop on Thermal Investigations of ICs and Systems, 29 September - 1 October 2004, Sophia Antipolis, Cote d'Azur, France.</ref>

<ref name="feng2005">L. Feng, E. B. Rudnyi, J. G. Korvink, "[https://doi.org/10.1109/TCAD.2005.852660 Preserving the film coefficient as a parameter in the compact thermal model for fast electro-thermal simulation]", IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 24(12): 1838--1847, 2005.</ref>

<ref name="korvink2005"> J.G. Korvink, E.B. Rudnyi, [https://doi.org/10.1007/3-540-27909-1_11 Oberwolfach Benchmark Collection], Dimension Reduction of Large-Scale Systems, Lecture Notes in Computational Science and Engineering, vol 45: 311--315, 2005.</ref>

<ref name="rudnyi2005">E.B. Rudnyi, J.G. Korvink, [https://doi.org/10.1007/3-540-27909-1_17 Boundary Condition Independent Thermal Model], Dimension Reduction of Large-Scale Systems, Lecture Notes in Computational Science and Engineering, vol 45: 345--348, 2005.</ref>

</references>

==Contact==

'' [[User:Feng|Lihong Feng]] ''

Thermal Block

2022-08-25T13:01:45Z

Himpe:

[[Category:benchmark]]
[[Category:parametric]]
[[Category:ODE]]
[[Category:linear]]
[[Category:first differential order]]
[[Category:time invariant]]
[[Category:MIMO]]
[[Category:Sparse]]

==Description==
A parametric semi-discretized heat transfer problem with varying heat transfer coefficients, the parameters, on subdomains. This model is also called the ''cookie baking problem'', and can be viewed as a flattened 2-D version of the ''skyscraper problem'' from high-performance computing.

<figure id="fig1">[[File:ThermalBlockDomain.svg|490px|thumb|right|<caption>The computational domain and boundaries.</caption>]]</figure>
<figure id="fig1">[[File:ThermalBlockTend.png|490px|thumb|right|<caption>A sample heat distribution at time 1.0 for parameter choice [100, 0.01, 0.001, 0.0001].</caption>]]</figure>
<figure id="fig1">[[File:ThermalBlockSigmaMagnitude.png|490px|thumb|right|<caption>Sigma magnitude plot of the single parameter variant.</caption>]]</figure>

===Modeling===
Consider a parameter <math>\mu\in{[10^{-6},10^2]}^4\subset\mathbb{R}^{4}</math> and define the heat conductivity <math>\sigma(\xi; \mu)</math> as <math>1.0</math> when <math>\xi\in\Omega_0</math> and <math>\sigma(\xi; \mu)=\mu_i</math> when <math>\xi\in\Omega_i</math>. The heat distribution is governed by the equation:
:<math>
\partial_t \theta(t, \xi; \mu) + \nabla \cdot (- \sigma(\xi; \mu) \nabla \theta(t, \xi; \mu)) = 0,\text{ for } t\in (0,T), \text{ and } \xi \in \Omega,
</math>
with a heat-inflow condition on the left ([[wikipedia:Neumann_boundary_condition|Neumann boundary]])
:<math>
\sigma(\xi; \mu) \nabla \theta(t, \xi; \mu) \cdot n(\xi) = u(t)\text{ for } t \in (0,T), \text{ and } \xi \in \Gamma_{in},
</math>
perfect isolation on the top and bottom ([[wikipedia:Boundary_conditions_in_fluid_dynamics#Wall_boundary_condition|Neumann-zero boundary]])
:<math>
\sigma(\xi; \mu) \nabla \theta(t, \xi; \mu) \cdot n(\xi) = 0\text{ for } t \in (0,T), \text{ and } \xi \in \Gamma_N,
</math>
and fixed temperature on the right ([[wikipedia:Dirichlet_boundary_condition|Dirichlet boundary]])
:<math>
\theta(t, \xi; \mu) = 0\text{ for } t \in (0,T), \text{ and } \xi \in \Gamma_{D},
</math>
and initial condition
:<math>
\theta(0, \xi; \mu) = 0 \text{ for } \xi \in \Omega.
</math>

===Discretization===
For the discretization, [https://fenicsproject.org/ FEniCS] '''2019.1''' was used on a simplicial grid with first order elements. The mesh is generated from the domain specification using [http://gmsh.info/ gmsh] '''3.0.6''' with '<code>clscale</code>' set to <math>0.1</math>. The Python-based source code for the discretization can be found at [https://doi.org/10.5281/zenodo.3691894 Zenodo].

==Origin==
This benchmark was developed for the [https://imsc.uni-graz.at/modred2019/ MODRED 2019] proceedings<ref name="morRavS20/>.

==Data==
The benchmark includes the basic domain description as a gmsh input file, Python scripts for the matrix assembly, simulation in pyMOR, and visualization as VTK, together with the matrices both as one combined file <code>ABCE.mat</code> or separate matrix market files for all matrices. The sources and the <code>ABCE.mat</code> are available for download at [https://doi.org/10.5281/zenodo.3691894 Zenodo].

Note that the heat transfer coefficients are designed as characteristic functions on the domains, such that the system is only well-posed when all entries in <math>\mu</math> are positive.

==Dimensions==
System structure:
:<math>
\begin{align}
E\dot{x}(t) &= (A_0 + \mu_1 A_1 + \mu_2 A_2 + \mu_3 A_3 + \mu_4 A_4) x(t) + Bu(t), \\
y(t) &= Cx(t)
\end{align}
</math>

System dimensions:

<math>E \in \mathbb{R}^{N \times N}</math>,
<math>A_0 \in \mathbb{R}^{N \times N}</math>,
<math>A_1 \in \mathbb{R}^{N \times N}</math>,
<math>A_2 \in \mathbb{R}^{N \times N}</math>,
<math>A_3 \in \mathbb{R}^{N \times N}</math>,
<math>A_4 \in \mathbb{R}^{N \times N}</math>,
<math>B \in \mathbb{R}^{N \times 1}</math>,
<math>C \in \mathbb{R}^{4 \times N}</math>,

where <math>N=7\,488</math> for the system matrices given in <code>ABCE.mat</code>.

==Variants==
Besides the full four parameter setup, the model can be used in variations with other numbers of independent parameters. The following two are recommended in the original work and have been investigated in the literature<ref name="morBenW20c"/>,<ref name="morHim20"/>,<ref name="morBenKS20"/>,<ref name="morMliRS20"/>.

===Single parameter===
The interpretation of the thermal block as the "cookie baking" problem with slight variation in the dough leads to an easy one parameter variant. Here the new single parameter <math>\hat\mu\in [ 10^{-6}, 10^2]</math> is chosen such that <math> \mu = \hat\mu\left[0.2, 0.4, 0.6, 0.8\right]. </math>

===Non-parametric===
The system can be used as a standard LTI state-space model. It is suggested to use <math>\mu = \sqrt{10} [0.2, 0.4, 0.6, 0.8]</math>.

==Citation==
To cite this benchmark, use the following references:

* For the benchmark itself and its data:
:: S. Rave and J. Saak, '''Thermal Block'''. MORwiki - Model Order Reduction Wiki, 2020. http://modelreduction.org/index.php/Thermal_Block

@MISC{morwiki_thermalblock,
author = <nowiki>{Rave, S. and Saak, J.}</nowiki>,
title = {Thermal Block},
howpublished = {{MORwiki} -- Model Order Reduction Wiki},
url = <nowiki>{http://modelreduction.org/index.php/Thermal_Block}</nowiki>,
year = 2020
}

* For the background on the benchmark:
:: S. Rave and J. Saak, [https://arxiv.org/abs/2003.00846 '''A Non-Stationary Thermal-Block Benchmark Model for Parametric Model Order Reduction''']. e-prints 2003.00846, arXiv, math.NA (2020).

@INPROCEEDINGS{morRavS21,
author = {Rave, S. and Saak, J.},
title = {A Non-Stationary Thermal-Block Benchmark Model for Parametric Model Order Reduction},
booktitle = {Model Reduction of Complex Dynamical Systems},
series = {International Series of Numerical Mathematics},
volume = {171},
publisher = {Springer},
year = 2021,
doi = {10.1007/978-3-030-72983-7_16}
}

==References==
<references>
<ref name="morBenW20c">P. Benner, S. W. R. Werner, [https://doi.org/10.1007/978-3-030-72983-7_19 MORLAB -- the Model Order Reduction LABoratory],
Model Reduction of Complex Dynamical Systems, International Series of Numerical Mathematics 171: 393--415, 2021.</ref>
<ref name="morHim20">C. Himpe, [https://doi.org/10.1007/978-3-030-72983-7_7 Comparing (empirical-Gramian-based) model order reduction algorithms],
Model Reduction of Complex Dynamical Systems, International Series of Numerical Mathematics 171: 141--164, 2021.</ref>
<ref name="morBenKS20">P. Benner, M. Köhler, J. Saak, [https://doi.org/10.1007/978-3-030-72983-7_18 Matrix equations, sparse solvers: M-M.E.S.S.-2.0.1 – philosophy, features and application for (parametric) model order reduction], Model Reduction of Complex Dynamical Systems, International Series of Numerical Mathematics 171: 369--392, 2021.</ref>
<ref name="morRavS20">S. Rave, J. Saak, [https://doi.org/10.1007/978-3-030-72983-7_16 An Non-Stationary Thermal-Block Benchmark Model for Parametric Model Order Reduction], Model Reduction of Complex Dynamical Systems, International Series of Numerical Mathematics 171: 349-356, 2021.</ref>
<ref name="morMliRS20">P. Mlinarić, S. Rave, J. Saak, [https://doi.org/10.1007/978-3-030-72983-7_17 Parametric model order reduction using pyMOR], Model Reduction of Complex Dynamical Systems, International Series of Numerical Mathematics 171: 357--367 , 2021.</ref>
</references>

==Contact==
'' [[User:Saak]]''

Thermal Block

2022-08-25T13:01:37Z

Himpe:

[[Category:benchmark]]
[[Category:parametric]]
[[Category:ODE]]
[[Category:linear]]
[[Category:first differential order]]
[[Category:time invariant]]
[[Category:Parametric]]
[[Category:MIMO]]
[[Category:Sparse]]

==Description==
A parametric semi-discretized heat transfer problem with varying heat transfer coefficients, the parameters, on subdomains. This model is also called the ''cookie baking problem'', and can be viewed as a flattened 2-D version of the ''skyscraper problem'' from high-performance computing.

<figure id="fig1">[[File:ThermalBlockDomain.svg|490px|thumb|right|<caption>The computational domain and boundaries.</caption>]]</figure>
<figure id="fig1">[[File:ThermalBlockTend.png|490px|thumb|right|<caption>A sample heat distribution at time 1.0 for parameter choice [100, 0.01, 0.001, 0.0001].</caption>]]</figure>
<figure id="fig1">[[File:ThermalBlockSigmaMagnitude.png|490px|thumb|right|<caption>Sigma magnitude plot of the single parameter variant.</caption>]]</figure>

===Modeling===
Consider a parameter <math>\mu\in{[10^{-6},10^2]}^4\subset\mathbb{R}^{4}</math> and define the heat conductivity <math>\sigma(\xi; \mu)</math> as <math>1.0</math> when <math>\xi\in\Omega_0</math> and <math>\sigma(\xi; \mu)=\mu_i</math> when <math>\xi\in\Omega_i</math>. The heat distribution is governed by the equation:
:<math>
\partial_t \theta(t, \xi; \mu) + \nabla \cdot (- \sigma(\xi; \mu) \nabla \theta(t, \xi; \mu)) = 0,\text{ for } t\in (0,T), \text{ and } \xi \in \Omega,
</math>
with a heat-inflow condition on the left ([[wikipedia:Neumann_boundary_condition|Neumann boundary]])
:<math>
\sigma(\xi; \mu) \nabla \theta(t, \xi; \mu) \cdot n(\xi) = u(t)\text{ for } t \in (0,T), \text{ and } \xi \in \Gamma_{in},
</math>
perfect isolation on the top and bottom ([[wikipedia:Boundary_conditions_in_fluid_dynamics#Wall_boundary_condition|Neumann-zero boundary]])
:<math>
\sigma(\xi; \mu) \nabla \theta(t, \xi; \mu) \cdot n(\xi) = 0\text{ for } t \in (0,T), \text{ and } \xi \in \Gamma_N,
</math>
and fixed temperature on the right ([[wikipedia:Dirichlet_boundary_condition|Dirichlet boundary]])
:<math>
\theta(t, \xi; \mu) = 0\text{ for } t \in (0,T), \text{ and } \xi \in \Gamma_{D},
</math>
and initial condition
:<math>
\theta(0, \xi; \mu) = 0 \text{ for } \xi \in \Omega.
</math>

===Discretization===
For the discretization, [https://fenicsproject.org/ FEniCS] '''2019.1''' was used on a simplicial grid with first order elements. The mesh is generated from the domain specification using [http://gmsh.info/ gmsh] '''3.0.6''' with '<code>clscale</code>' set to <math>0.1</math>. The Python-based source code for the discretization can be found at [https://doi.org/10.5281/zenodo.3691894 Zenodo].

==Origin==
This benchmark was developed for the [https://imsc.uni-graz.at/modred2019/ MODRED 2019] proceedings<ref name="morRavS20/>.

==Data==
The benchmark includes the basic domain description as a gmsh input file, Python scripts for the matrix assembly, simulation in pyMOR, and visualization as VTK, together with the matrices both as one combined file <code>ABCE.mat</code> or separate matrix market files for all matrices. The sources and the <code>ABCE.mat</code> are available for download at [https://doi.org/10.5281/zenodo.3691894 Zenodo].

Note that the heat transfer coefficients are designed as characteristic functions on the domains, such that the system is only well-posed when all entries in <math>\mu</math> are positive.

==Dimensions==
System structure:
:<math>
\begin{align}
E\dot{x}(t) &= (A_0 + \mu_1 A_1 + \mu_2 A_2 + \mu_3 A_3 + \mu_4 A_4) x(t) + Bu(t), \\
y(t) &= Cx(t)
\end{align}
</math>

System dimensions:

<math>E \in \mathbb{R}^{N \times N}</math>,
<math>A_0 \in \mathbb{R}^{N \times N}</math>,
<math>A_1 \in \mathbb{R}^{N \times N}</math>,
<math>A_2 \in \mathbb{R}^{N \times N}</math>,
<math>A_3 \in \mathbb{R}^{N \times N}</math>,
<math>A_4 \in \mathbb{R}^{N \times N}</math>,
<math>B \in \mathbb{R}^{N \times 1}</math>,
<math>C \in \mathbb{R}^{4 \times N}</math>,

where <math>N=7\,488</math> for the system matrices given in <code>ABCE.mat</code>.

==Variants==
Besides the full four parameter setup, the model can be used in variations with other numbers of independent parameters. The following two are recommended in the original work and have been investigated in the literature<ref name="morBenW20c"/>,<ref name="morHim20"/>,<ref name="morBenKS20"/>,<ref name="morMliRS20"/>.

===Single parameter===
The interpretation of the thermal block as the "cookie baking" problem with slight variation in the dough leads to an easy one parameter variant. Here the new single parameter <math>\hat\mu\in [ 10^{-6}, 10^2]</math> is chosen such that <math> \mu = \hat\mu\left[0.2, 0.4, 0.6, 0.8\right]. </math>

===Non-parametric===
The system can be used as a standard LTI state-space model. It is suggested to use <math>\mu = \sqrt{10} [0.2, 0.4, 0.6, 0.8]</math>.

==Citation==
To cite this benchmark, use the following references:

* For the benchmark itself and its data:
:: S. Rave and J. Saak, '''Thermal Block'''. MORwiki - Model Order Reduction Wiki, 2020. http://modelreduction.org/index.php/Thermal_Block

@MISC{morwiki_thermalblock,
author = <nowiki>{Rave, S. and Saak, J.}</nowiki>,
title = {Thermal Block},
howpublished = {{MORwiki} -- Model Order Reduction Wiki},
url = <nowiki>{http://modelreduction.org/index.php/Thermal_Block}</nowiki>,
year = 2020
}

* For the background on the benchmark:
:: S. Rave and J. Saak, [https://arxiv.org/abs/2003.00846 '''A Non-Stationary Thermal-Block Benchmark Model for Parametric Model Order Reduction''']. e-prints 2003.00846, arXiv, math.NA (2020).

@INPROCEEDINGS{morRavS21,
author = {Rave, S. and Saak, J.},
title = {A Non-Stationary Thermal-Block Benchmark Model for Parametric Model Order Reduction},
booktitle = {Model Reduction of Complex Dynamical Systems},
series = {International Series of Numerical Mathematics},
volume = {171},
publisher = {Springer},
year = 2021,
doi = {10.1007/978-3-030-72983-7_16}
}

==References==
<references>
<ref name="morBenW20c">P. Benner, S. W. R. Werner, [https://doi.org/10.1007/978-3-030-72983-7_19 MORLAB -- the Model Order Reduction LABoratory],
Model Reduction of Complex Dynamical Systems, International Series of Numerical Mathematics 171: 393--415, 2021.</ref>
<ref name="morHim20">C. Himpe, [https://doi.org/10.1007/978-3-030-72983-7_7 Comparing (empirical-Gramian-based) model order reduction algorithms],
Model Reduction of Complex Dynamical Systems, International Series of Numerical Mathematics 171: 141--164, 2021.</ref>
<ref name="morBenKS20">P. Benner, M. Köhler, J. Saak, [https://doi.org/10.1007/978-3-030-72983-7_18 Matrix equations, sparse solvers: M-M.E.S.S.-2.0.1 – philosophy, features and application for (parametric) model order reduction], Model Reduction of Complex Dynamical Systems, International Series of Numerical Mathematics 171: 369--392, 2021.</ref>
<ref name="morRavS20">S. Rave, J. Saak, [https://doi.org/10.1007/978-3-030-72983-7_16 An Non-Stationary Thermal-Block Benchmark Model for Parametric Model Order Reduction], Model Reduction of Complex Dynamical Systems, International Series of Numerical Mathematics 171: 349-356, 2021.</ref>
<ref name="morMliRS20">P. Mlinarić, S. Rave, J. Saak, [https://doi.org/10.1007/978-3-030-72983-7_17 Parametric model order reduction using pyMOR], Model Reduction of Complex Dynamical Systems, International Series of Numerical Mathematics 171: 357--367 , 2021.</ref>
</references>

==Contact==
'' [[User:Saak]]''

Silicon Nitride Membrane

2022-08-25T13:01:20Z

Himpe:

[[Category:benchmark]]
[[Category:Parametric]]
[[Category:linear]]
[[Category:first differential order]]
[[Category:time invariant]]

==Description==

<figure id="fig:tempprof">[[File:Fig_1.png|right|frame|<caption>silicon nitride membrane temperature profile</caption>]]</figure>

A '''silicon nitride membrane''' ([[wikipedia:Silicon_nitride|SiN]] membrane) <ref name="bechthold10"/> can be a part of a gas sensor,
but also a part of an infra-red sensor, a microthruster, an optical filter etc.
This structure resembles a microhotplate similar to other micro-fabricated devices such as gas sensors <ref name="spannhake05"/> and infrared sources <ref name="graf04"/> (See also [[Gas_Sensor|Gas Sensor Benchmark]]).
See Fig. 1, the temperature profile for the SiN membrane.

The governing heat transfer equation in the membrane is:

:<math> \nabla \cdot (\kappa \nabla T)+Q - \rho c_p \cdot \frac{\partial T}{\partial t}=0 </math>

where <math>\kappa </math> is the thermal conductivity in <math>W m^{-1} K^{-1}</math>,
<math>c_p</math> is the specific heat capacity in <math>J kg^{-1} K^{-1}</math>,
<math>\rho</math> is the mass density in <math>kg m^{-3}</math> and <math>T</math> is the temperature distribution.
We assume a homogeneous heat generation rate over a lumped resistor:

:<math>Q = \frac{u^2(t)}{R(T)}</math>

with <math>Q</math> the heat generation rate per unit volume in <math>W m^{-3}</math>.
We use the initial condition <math>T_0 = 273K</math>,
and the Dirichlet boundary condition <math>T = 273 K</math> at the bottom of the computational domain.

The convection boundary condition at the top of the membrane is

:<math>
q=h(T-T_{air}),
</math>

where <math>h</math> is the heat transfer coefficient between the membrane and the ambient air in <math>W m^{-2} K^{-1}</math>.

==Discretization==

Under the above convection boundary condition and assuming <math>T_{air}=0</math>,
a finite element discretization of the heat transfer model leads to the parametrized system as below,

:<math>
(E_0+\rho c_p \cdot E_1) \dot{T} +(A_0 +\kappa \cdot A_1 +h \cdot A_2)T = B \frac{u^2(t)}{R(T)}, \quad
y=C T,
</math>

where the volumetric heat capacity <math>\rho c_p</math>,
thermal conductivity <math>\kappa</math> and the heat transfer coefficient <math>h</math> between the membrane are kept as parameters.
The volumetric hear capacity <math>\rho c_p</math> is the product of two independent variables,
i.e. the specific hear capacity <math>c_p</math> and the density <math>\rho</math>.
The range of interest for the four independent variables are <math>\kappa \in [2, 5]</math>, <math>c_p \in [400, 750]</math>, <math>\rho \in [3000,3200]</math> and <math> h \in [10, 12]</math> respectively.
The frequency range is <math>f \in [0,25]Hz</math>.
What is of interest is the output in time domain.
The interesting time interval is <math>t \in [0,0.04]s</math>.

Here <math>R(T)</math> is either a constant heat resistivity <math>R(T)=R_0</math>, or <math>R(T)=R_0(1+\alpha T)</math>,
which depends linearly on the temperature.
Here we use <math>R_0=274.94 \Omega</math> and temperature coefficient <math>\alpha=2.293 \pm 0.006 \times 10^{-4}</math>.
The model was created and meshed in ANSYS. It contains a constant load vector <math>B</math> corresponding to the constant input power of <math>2.49mW</math>.
The number of degrees of freedom is <math>n=60,020</math>.

The input function <math>u(t)</math> is a step function with the value <math>1</math>,
which disappears at the time <math>0.02s</math>.
This means between <math>0s</math> and <math>0.02s</math> input is one and after that it is zero.
However, be aware that <math>u(t)</math> is just a factor with which the load vector B is multiplied and which corresponds to the heating power of <math>2.49mW</math>.
This means if one keeps <math>u(t)</math> as suggested above, the device is heated with <math>2.49mW</math> for the time length of 0.02s and after that the heating is turned off.
If for whatever reason, one wants the heating power to be <math>5mW</math>, then <math>u(t)</math> has to be set equal to two, etc.
When <math>R(T)=R_0(1+\alpha T)</math>, it is a function of the state vector <math>T</math> and hence, the system has non-linear input (It is also called a weakly nonlinear system.).

==Data==

The model is generated in ANSYS. The system matrices are in [http://math.nist.gov/MatrixMarket/ MatrixMarket] format and can be downloaded here: [[Media: SiN_membrane.tgz|SiN_membrane.tgz]].

==Dimensions==

System structure:

:<math>
\begin{array}{rcl}
(E_0 + \rho c_p E_1)\dot{x}(t) &=& -(A_0 + \kappa A_1 + h A_3)x(t) + Bu(t) \\
y(t) &=& Cx(t)
\end{array}
</math>

System dimensions:

<math>E_0 \in \mathbb{R}^{60020 \times 60020}</math>,
<math>E_1 \in \mathbb{R}^{60020 \times 60020}</math>,
<math>A_0 \in \mathbb{R}^{60020 \times 60020}</math>,
<math>A_1 \in \mathbb{R}^{60020 \times 60020}</math>,
<math>A_2 \in \mathbb{R}^{60020 \times 60020}</math>,
<math>B \in \mathbb{R}^{60020 \times 2}</math>,
<math>C \in \mathbb{R}^{2 \times 60020}</math>.

==References==

<references>

<ref name="bechthold10">T. Bechtold, D. Hohfeld, E. B. Rudnyi and M. Guenther, "[https://doi.org/10.1088/0960-1317/20/4/045030 Efficient extraction of thin-film thermal parameters from numerical models via parametric model order reduction]", J. Micromech. Microeng. 20(4): 045030, 2010.</ref>

<ref name="spannhake05">J. Spannhake, O. Schulz, A. Helwig, G. Müller and T. Doll, "[https://doi.org/10.1109/ICSENS.2005.1597811 Design, development and operational concept of an advanced MEMS IR source for miniaturized gas sensor systems]", Proc. Sensors: 762--765, 2005.</ref>

<ref name="graf04">M. Graf, D. Barrettino, S. Taschini, C. Hagleitner, A. Hierlemann and H. Baltes, "[https://doi.org/10.1021/ac035432h Metal oxide-based monolithic complementary metal oxide semiconductor gas sensor microsystem]", Anal. Chem., 76(15): 4437--4445, 2004.</ref>

</references>

==Contact==
'' [[User:Feng|Lihong Feng]] ''

[http://www.igs.uni-rostock.de/mitarbeiter/tamara-bechtold/ Tamara Bechtold]

Scanning Electrochemical Microscopy

2022-08-25T13:01:10Z

Himpe:

[[Category:benchmark]]
[[Category:parametric]]
[[Category:linear]]
[[Category:time varying]]
[[Category:Parametric]]
[[Category:first differential order]]
[[Category:nonzero initial condition]]

==Description==

<figure id="fig:cylin">
[[Image:Fig.1.JPG|thumb|right|300px|<caption>Cylindrical Electrode</caption>]]
</figure>

'''Scanning Electrochemical Microscopy''' (SECM) has many applications in current problems in the biological field.
Quantitative mathematical models have been developed for different operating modes of the SECM.
Except for some very specific problems, like the diffusion-controlled current on a circular electrode far away from the border,
solutions can only be obtained by numerical simulation, which is based on discretization of the model in space by an appropriate method like finite differences, finite elements, or boundary elements.
After discretization, a high-dimensional system of ordinary differential equations is obtained.
Its high dimensionality leads to high computational cost.

We consider a cylindrical electrode in Fig. 1.
The computation domain under the 2D-axisymmetric approximation includes the electrolyte under the electrode.
We assume that the concentration does not depend on the rotation angle.
A single chemical reaction takes place on the electrode:

:<math>Ox+e^-\Leftrightarrow Red, \quad \quad \quad \quad (1) </math>

where <math>Ox</math> and <math>Red</math> are two different species in the reaction.
According to the theory of SECM <ref name="mirkin01"/>, the species transport in the electrolyte is described by diffusion only.
The diffusion partial differential equation is given by the second [[wikipedia:Fick's_laws_of_diffusion|Fick's law]] as follows

:<math>
\frac{dc_1}{dt}=D_1\cdot \Delta ^2c_1 , \quad
\frac{dc_2}{dt}=D_2\cdot \Delta ^2c_2,
</math>

where <math>c_1</math> and <math>c_2</math> are the concentration fields of species <math>Ox</math> and <math>Red</math>, respectively.
The initial conditions are <math>c_1(0)=c_{1,0}</math> and <math>c_2(0)=c_{2,0}.</math> conditions at the glass and the bottom of the bath
are described by the Neumann boundary conditions of zero flux <math>\nabla c_1\cdot \vec{n}=0</math> and <math>\nabla c_2\cdot \vec{n}=0</math>.
Conditions at the border of the bulk are described by Dirichlet boundary conditions of constant concentration, equal to the initial conditions <math>c_1=c_{1,0}</math> and <math>c_2=c_{2,0}</math>.
The boundary conditions at the electrode are described by

:<math>
\nabla c_1\cdot \vec{n}=j, \,
\nabla c_2\cdot \vec{n}=-j. \quad \quad \quad \quad (2)
</math>

Here <math>j</math> is related to the forward reaction rate <math>k_f</math> and the backward reaction rate <math>k_b</math> through the [[wikipedia:Butler–Volmer_equation|Butler-Volmer equation]],

:<math>
j=k_f \cdot c_1-k_b \cdot c_2.
</math>

The reaction rates <math>k_f</math> and <math>k_b</math> are in the following form,

:<math>
k_f=k^0\exp{(\frac{\alpha z F(v(t)-v^0)}{RT})}, </math>

:<math>k_b=k^0\exp{(\frac{-(1-\alpha) z F(v(t)-v^0)}{RT})} .
</math>

Here, <math>k^0</math> is the heterogeneous standard rate constant, which is an empirical transmission factor for a heterogeneous reaction.
<math>F</math> is the [[wikipedia:Faraday_constant|Faraday-constant]], <math>R</math> is the [[wikipedia:Gas_constant|gas constant]], <math>T</math> is the temperature, and <math>z</math> is the number of exchanged electrons per reaction.
<math>u(t)=v(t)-v^0</math> is the difference between the electrode potential and the reference potential.
This difference, to which we refer below as voltage, changes during the measurement of a [[wikipedia:Voltammetry|voltammogram]].

==Model==

The control volume method has been used for the spatial discretization of (1).
Together with the boundary conditions, the resulting system of ordinary differential equations is as follows,

:<math>
E\frac{d\vec{c}}{dt}+K(u(t))\vec{c}-A\vec{c}=B,\quad
y(t)=C\vec{c},\quad
\vec{c}(0)=\vec{c}_0 \neq 0,
</math>

where E and <math>K(u(t))</math> are system matrices, <math>K(u(t))</math> is a function of voltage that in turn depends on time.
The voltage appears in the system matrix due to the boundary conditions (2).
The vector <math>\vec{c} \in \mathbb{R}^n</math> is the vector of unknown concentrations, which includes both the <math>Ox</math> and <math>Red</math> species.
The vector <math>B</math> is the load vector, which arises as a consequence of the Dirichlet boundary conditions imposed at the bulk boundary of the electrolyte. The total current is computed as an integral (sum) over the electrode surface.
The matrix <math>K(u(t))</math> has the following form,

:<math>
K(u(t))=K_1(u(t))+K_2(u(t)),
</math>

where <math>K_i(u(t))=h_i D_i, \, i=1,2,</math> and <math>h_1=\exp(\beta u(t)), \, h_2=\exp(-\beta u(t))</math>.
The voltage <math>u(t)</math> is a function of <math>\sigma</math>,

:<math>
u(t)=\sigma t-1, \, \text{for } t \leq \frac{2}{ \sigma}, \quad
u(t)=-\sigma t+3, \, \text{for } \frac{2}{ \sigma} < t \leq \frac{4}{ \sigma},
</math>

where <math>\sigma</math> can take four different values, <math>\sigma=0.5, \, 0.05, \, 0.005, \, 0.0005</math>. The constant <math>\beta</math> is computed from the parameters <math>\alpha, \, z, \, F, \, R,</math> and <math>T,</math> leading to the value <math>\beta=21.243036728240824</math>.
Although the system is a time-varying system, it can be considered as a parametrized system with two parameters <math>h_1</math> and <math>h_2</math>.

==Data==

The data of the system matrices <math>E, \ D_1, \ D_2, \ A, \ B, C</math> as well as the initial state <math>\vec{c}_0=x_0</math> are in MatrixMarket format (http://math.nist.gov/MatrixMarket/), and can be downloaded here [[Media:SECM.TGZ|SECM.tgz]]. The quantity of interest is the current which is computed by <math>I(t)=C(5,:)\vec{c}</math> in MATLAB notation. The associated plot is called the [[wikipedia:Cyclic_voltammetry|cyclic voltammogram]] <ref name="feng06"/>, which is the plot of the current changing with the voltage <math>u(t)</math>.

==Dimensions==

System structure:

:<math>
\begin{array}{rcl}
E\dot{c}(t) &=& (A - h_1 D_1 - h_2 D_2)c(t) + Bu(t) \\
y(t) &=& Cc(t)
\end{array}
</math>

System dimensions:

<math>E \in \mathbb{R}^{16\,912 \times 16\,912}</math>,
<math>A \in \mathbb{R}^{16\,912 \times 16\,912}</math>,
<math>D_1 \in \mathbb{R}^{16\,912 \times 16\,912}</math>,
<math>D_2 \in \mathbb{R}^{16\,912 \times 16\,912}</math>,
<math>B \in \mathbb{R}^{16\,912 \times 1}</math>,
<math>C \in \mathbb{R}^{5 \times 16\,912}</math>.

==Citation==

To cite this benchmark, use the following references:

* For the benchmark itself and its data:
::The MORwiki Community, '''Scanning Electrochemical Microscopy'''. MORwiki - Model Order Reduction Wiki, 2018. http://modelreduction.org/index.php/Scanning_Electrochemical_Microscopy

@MISC{morwiki_secm,
author = <nowiki>{{The MORwiki Community}}</nowiki>,
title = {Scanning Electrochemical Microscopy},
howpublished = {{MORwiki} -- Model Order Reduction Wiki},
url = <nowiki>{http://modelreduction.org/index.php/Scanning_Electrochemical_Microscopy}</nowiki>,
year = {2018}
}

* For the background on the benchmark:

@ARTICLE{morFenKRetal06,
author = {L. Feng, D. Koziol, E.B. Rudnyi, and J.G. Korvink},
title = {Parametric Model Reduction for Fast Simulation of Cyclic Voltammograms},
journal = {Sensor Letters},
volume = 4,
number = 2,
pages = {165--173},
year = 2006,
doi = {10.1166/sl.2006.021}
}

==References==

<references>

<ref name="mirkin01"> M.V. Mirkin, "[https://doi.org/10.1201/b11850-7 Chapter 5: Theory]", In: A.J. Bard and M.V. Mirkin, (eds.), Scanning Electrochemical Microscopy, CRC Press: 144--199, 2001.</ref>

<ref name="feng06"> L. Feng, D. Koziol, E.B. Rudnyi, and J.G. Korvink, "[https://doi.org/10.1166/sl.2006.021 Parametric Model Reduction for Fast Simulation of Cyclic Voltammograms]", Sensor Letters, 4(2): 165--173, 2006.</ref>

</references>

==Contact==

'' [[User:Feng|Lihong Feng]] ''

Modified Gyroscope

2022-08-25T13:00:56Z

Himpe:

[[Category:benchmark]]
[[Category:ODE]]
[[Category:linear]]
[[Category:Parametric]]
[[Category:affine parameter representation]]
[[Category:time invariant]]
[[Category:second differential order]]

==Description==
<figure id="fig:gyro">[[File:Gyroscope.jpg|300px|thumb|right|<caption>Schematic representation of the gyroscope.</caption>]]</figure>

The device is a [[wikipedia:Vibrating_structure_gyroscope#MEMS_gyroscopes|MEMS gyroscope]] based on the butterfly gyroscope <ref name="lienemann2004"/> developed at the [http://www.imego.com/ Imego institute] in Gothenburg,
Sweden (see also: [[Butterfly_Gyroscope|Butterfly Gyroscope]], where a non-parametrized model for the device is given).
A [[wikipedia:Gyroscope|gyroscope]] is a device used to measure angular rates in up to three axes.

The basic working principle of the '''gyroscope''' can be described as follows, see also <ref name="Moo07"/>.
Without applied external rotation, the paddles vibrate in phase with the function <math>z(t),</math> see Fig. 1.
Under the influence of an external rotation about the <math>x</math>-axis (drawn in red),
an additional force due to the Coriolis acceleration acts upon the paddles.
This force leads to an additional small out-of-phase vibration between two paddles on the same side of the bearing.
This out-of phase vibration is measured as the difference of the <math>z</math>-displacement of the nodes with the red dots.
Thus, measuring the displacement of two adjacent paddles, the rotation velocity can be ascertained.

==Motivation==

When planning for and making decisions on future improvements of the butterfly gyroscope, it is of importance to improve the efficiency of the gyro simulations. Repeated analysis of the sensor structure have to be conducted with respect to a number of important issues.
Examples of such are sensitivity to shock, linear and angular vibration sensitivity, reaction to large rates and/or acceleration,
different types of excitation load cases and the effect of force-feedback.
The use of model order reduction indeed decreases run time for repeated simulations.

==The Parametrized Model==

Two parameters are of special interest for the model.
The first one is the quantity that is to be sensed, the rotation velocity <math>\theta</math> around the <math>x</math>-axes.
The second parameter is the width of the bearing, <math>d</math>.
The parametrized system below is obtained by finite element discretization of the parametrized model (in the form of partial differential equations) for the '''gyroscope'''.
The details of constructing the parametrized system can be found in <ref name="Moo07"/>.
The system is of the following form:

:<math>
\begin{align}
M(d)\ddot{x}(t) +D(d,\theta)\dot{x}(t) +T(d)x(t) &= B, \\
y(t) &=Cx(t).
\end{align}
</math>

Here,

* <math>M(d)=(M_1+dM_2)\in \mathbb R^{n\times n}</math> is the mass matrix,
* <math>D(d,\theta)=\theta(D_1 + d D_2)\in \mathbb R^{n\times n}</math> is the damping matrix,
* <math>T(d)=T_1+(1/d)T_2+dT_3\in \mathbb R^{n\times n}</math> is the stiffness matrix,
* <math>B \in \mathbb R^{n \times 1}</math> is the load vector,
* <math>C \in \mathbb R^{1 \times n}</math> is the output matrix,
* <math>x \in \mathbb R^{n}</math> is the state vector,
* and <math>y \in \mathbb R </math> is the output response.

The quantity of interesting <math>y</math> of the system is <math>\delta z(t)</math>,
which is the difference of the displacement <math>z(t)</math> between the two red markings on the ''east'' side of the bearing (see <xr id="fig:gyro"/>).

The parameters of the system, <math>d</math> and <math>\theta</math>,
represent the width of the bearing(<math>d</math>) and the rotation velocity along the <math>x</math>-axis (<math>\theta</math>),
with the ranges: <math>\theta\in [10^{-7}, 10^{-5}]</math> and <math>d\in [1,2]</math>.

The device works in the frequency range <math>f \in [0.025, 0.25]</math>MHz and the degrees of freedom are <math>n = 17913</math>.

==Data==

The model is generated in ANSYS.
The system matrices <math>M_1, \, M_2, \, D_1, \, D_2, \, T_1, \, T_2, \,T_3</math>, and <math> B</math> are in the [http://math.nist.gov/MatrixMarket/ MatrixMarket format], and can be downloaded here: [[Media: Gyroscope_modi.tgz|Gyroscope_modi.tgz]].
The matrix <math>C</math> defines the output, which has zeros on all the entries, except on the 2315th entry, where the value is <math>-1</math>, and on the 5806th entry, the value is <math>1</math>;
in MATLAB notation, it is <tt>C(1,2315) = -1</tt> and <tt>C(1,5806) = 1</tt>.

==Dimensions==

System structure:

:<math>
\begin{array}{rcl}
(M_1 + d M_2)\ddot{x}(t) + \theta(D_1 + d D_2) \dot{x}(t) + (T_1 + d^{-1} T_2 + d T_3)x(t) &=& B \\
y(t) &=& Cx(t)
\end{array}
</math>

System dimensions:

<math>M_1, M_2, D_1, D_2, T_1, T_2, T_3 \in \mathbb{R}^{17931 \times 17931}</math>,
<math>B \in \mathbb{R}^{17931 \times 1}</math>,
<math>C \in \mathbb{R}^{1 \times 17931}</math>.

==Citation==

To cite this benchmark, use the following references:

* For the benchmark itself and its data:
::The MORwiki Community, '''Modified Gyroscope'''. MORwiki - Model Order Reduction Wiki, 2018. http://modelreduction.org/index.php/Modified_Gyroscope

@MISC{morwiki_modgyro,
author = <nowiki>{{The MORwiki Community}}</nowiki>,
title = {Modified Gyroscope},
howpublished = {{MORwiki} -- Model Order Reduction Wiki},
url = <nowiki>{http://modelreduction.org/index.php/Modified_Gyroscope}</nowiki>,
year = 2018
}

* For the background on the benchmark: [https://morwiki.mpi-magdeburg.mpg.de/BibTeX/#morMoo07 morMoo07] ([https://morwiki.mpi-magdeburg.mpg.de/BibTeX/html/mor_bib.html#morMoo07 BibTeX])

==References==

<references>

<ref name="lienemann2004">J. Lienemann, D. Billger, E. B. Rudnyi, A. Greiner, J. G. Korvink, "[http://www.nsti.org/procs/Nanotech2004v2/6/W58.01 MEMS Compact Modeling Meets Model Order Reduction: Examples of the Application of Arnoldi Methods to Microsystem Devices]", TechConnect Briefs (Technical Proceedings of the 2004 NSTI Nanotechnology Conference and Trade Show, Volume 2): 303--306, 2004.</ref>

<ref name="Moo07">C. Moosmann, "[http://www.freidok.uni-freiburg.de/volltexte/3971/ ParaMOR Model Order Reduction for parameterized MEMS applications]", PhD thesis, Department of Microsystems Engineering, University of Freiburg, Freiburg, Germany 2007.</ref>

</references>

==Contact==

'' [[User:Feng]] ''

Coplanar Waveguide

2022-08-25T13:00:38Z

Himpe:

[[Category:benchmark]]
[[Category:PDE]]
[[Category:Parametric]]
[[Category:linear]]
[[Category:time invariant]]
[[Category:affine parameter representation]]

==Description==

A '''coplanar waveguide''' (see Fig. 1) is a microwave semiconductor device, which is governed by [[wikipedia:Maxwell's_equations|Maxwell's equations]].
The [[wikipedia:Coplanar_waveguide|coplanar waveguide]] considered with dielectric overlay, i.e. a transmission line shielded within two layers of multilayer board with <math>0.5mm</math> thickness are buried in a substrate with <math>10mm</math> thickness and relative permittivity
<math>\epsilon_r = 4.4 </math> and relative permeability <math>\mu_r = 1 </math>, and low conductivity <math>\sigma = 0.02 S/m </math>.
The low-loss upper layer has low permittivity <math>\epsilon_r = 1.07 </math> and <math>\sigma = 0.01 S/m</math>.
The whole structure is enlosed in a metallic box of dimension <math>140mm</math> by <math>100mm</math> by <math>50mm</math>.
The discrete port with <math>50Ohm</math> lumped load imposes <math>1 A</math> current as the input to the one side of the strip.
The voltage along the discrete port 2 at the end of the other side of coupled lines is integrated as the output.

<figure id="fig:coplanar">
[[File:CoplanarWaveguideScaled.jpg|frame|<caption>Coplanar Waveguide Model<ref name="hess2003"/></caption>]]
</figure>

==Data==

Considered parameters are the frequency <math> \omega </math> and the width <math> \nu </math> of the middle stripline.

The affine form <math> a(u, v; \omega, \nu) = \sum_{q=1}^Q \Theta^q(\omega, \nu) a^q(u, v) </math> can be established using <math> Q = 15 </math> affine terms.

The discretized bilinear form is <math> a(u, v; \omega, \nu) = \sum_{q=1}^Q \Theta^q(\omega, \nu) A^q </math>, with matrices <math> A^q </math>.

The matrices corresponding to the bilinear forms <math> a^q( \cdot , \cdot ) </math> as well as the input and output forms and H(curl) inner product matrix have been assembled
using the Finite Element Method, resulting in 7754 degrees of freedom, after removal of boundary conditions. The files are numbered according to their
appearance in the summation.

The coefficient functions are given by:

:<math> \Theta^1(\omega, \nu) = 1 </math>

:<math> \Theta^2(\omega, \nu) = \omega </math>

:<math> \Theta^3(\omega, \nu) = -\omega^2 </math>

:<math> \Theta^4(\omega, \nu) = \frac{\nu}{6} </math>

:<math> \Theta^5(\omega, \nu) = \frac{6}{\nu} </math>

:<math> \Theta^6(\omega, \nu) = \frac{6 \omega}{\nu} </math>

:<math> \Theta^7(\omega, \nu) = -\frac{6 \omega^2}{\nu} </math>

:<math> \Theta^8(\omega, \nu) = \frac{\nu \omega}{6} </math>

:<math> \Theta^9(\omega, \nu) = -\frac{\nu \omega^2}{6} </math>

:<math> \Theta^{10}(\omega, \nu) = \frac{16 - \nu}{10} </math>

:<math> \Theta^{11}(\omega, \nu) = \frac{10}{16 - \nu} </math>

:<math> \Theta^{12}(\omega, \nu) = \frac{10 \omega}{16 - \nu} </math>

:<math> \Theta^{13}(\omega, \nu) = -\frac{10 \omega^2}{16 - \nu} </math>

:<math> \Theta^{14}(\omega, \nu) = \frac{16 - \nu}{10} \omega </math>

:<math> \Theta^{15}(\omega, \nu) = -\frac{16 - \nu}{10} \omega^2 </math>

The parameter domain of interest is <math>\omega \in [0.6, 3.0] \cdot 10^9 </math> Hz, where the factor of <math>10^9 </math> has already been taken into account
while assembling the matrices, while the geometric variation occurs between <math> \nu \in [2.0, 14.0]</math>.
The input functional also has a factor of <math> \omega </math>.

There are two output functionals, which is due to the fact that the complex system has been rewritten as a real symmetric one.
In particular the computation of the output

<math>s(u) = | l^T * u |</math> with complex vector <math>u</math> turns into <math>s(u) = \sqrt{ (l_1^T * u)^2 + (l_2^T * u)^2 }</math> with real vector <math> u </math>.

==Origin==

The models have been developed within the [http://www.moresim4nano.org MoreSim4Nano] project.

==Data==

The files are numbered according to their appearance in the summation and can be found here: [[Media:Matrices_cp.tar.gz|Matrices_cp.tar.gz]].

==Dimensions==

System structure:

:<math>
\begin{array}{rcl}
\sum_{q=1}^{15} \Theta^q(\omega, \nu) A^q u &=& b \\
s &=& \sqrt{ (l_1^T * u)^2 + (l_2^T * u)^2 }
\end{array}
</math>

System dimensions:

<math>A^q \in \mathbb{R}^{15504 \times 15504}</math>,
<math>b \in \mathbb{R}^{15504}</math>,
<math>l_1 \in \mathbb{R}^{15504}</math>,
<math>l_2 \in \mathbb{R}^{15504}</math>.

==Citation==
To cite this benchmark, use the following references:

* For the benchmark itself and its data:
::The MORwiki Community, '''Coplanar Waveguide'''. MORwiki - Model Order Reduction Wiki, 2018. http://modelreduction.org/index.php/Coplanar_Waveguide

@MISC{morwiki_waveguide,
author = <nowiki>{{The MORwiki Community}}</nowiki>,
title = {Coplanar Waveguide},
howpublished = {{MORwiki} -- Model Order Reduction Wiki},
url = <nowiki>{http://modelreduction.org/index.php/Coplanar_Waveguide}</nowiki>,
year = {2018}
}

* For the background on the benchmark:
@ARTICLE{morHesB13,
author = {Hess, M.~W. and Benner, P.},
title = {Fast Evaluation of Time-Harmonic {M}axwell's Equations Using the Reduced Basis Method},
journal = {{IEEE} Trans. Microw. Theory Techn.},
volume = 61,
number = 6,
pages = {2265--2274},
year = 2013,
doi = {10.1109/TMTT.2013.2258167}
}

==References==

<references>

<ref name="hess2003">M.W. Hess, P. Benner, "[https://doi.org/10.1109/TMTT.2013.2258167 Fast Evaluation of Time-Harmonic Maxwell's Equations Using the Reduced Basis Method]", IEEE Transactions on Microwave Theory and Techniques, 61(6): 2265--2274, 2013.</ref>

</references>

==Contact==

'' [[User:hessm|Martin Hess]]''

Branchline Coupler

2022-08-25T13:00:30Z

Himpe:

{{preliminary}} 

[[Category:benchmark]]
[[Category:Parametric]]
[[Category:linear]]
[[Category:time invariant]]
[[Category:second differential order]]

==Description==

A '''branchline coupler''' (see Fig. 1) is a microwave semiconductor device, which is simulated by the [http://www.maxwells-equations.com/forms.php#harmonic time-harmonic Maxwell's equation].
A 2-section '''branchline coupler''' consists of four strip line ports, coupled to each other by two transversal bridges.
The energy excited at one port is coupled almost in equal shares to the two opposite ports, when considered as a [[List_of_abbreviations#MIMO|MIMO]]-system.
Here, only the [[List_of_abbreviations#SISO|SISO]] case is considered.
The '''branchline coupler''' with <math>0.05mm</math> thickness is placed on a substrate with <math>0.749mm</math> thickness and relative permittivity
<math> \epsilon_r = 2.2 </math> and zero-conductivity <math> \sigma = 0 S/m </math>.
The simulation domain is confined to a <math> 23.6 \times 22 \times 7 mm^3 </math> box.
The metallic ground plane of the device is represented by the electric boundary condition. The magnetic boundary
condition is considered for the other sides of the structures. The discrete input port with source impedance <math>50 \Omega</math>
imposes <math>1 A</math> current as the input. The voltage along the coupled port at the end of the other side of the coupler is
read as the output.

<figure id="fig:branch">
[[File:BranchlineCoupler.png|frame|<caption>Branchline Coupler Model<ref name="hess13"/></caption>]]
</figure>

Considered parameters are the frequency <math>\omega </math> and the relative permeability <math> \mu_r </math> .

The affine form <math> a(u, v; \omega, \mu_r) = \sum_{q=1}^Q \Theta^q(\omega, \mu_r) a^q(u, v) </math> can be established using <math> Q = 2 </math> affine terms.

The discretized bilinear form is <math> a(u, v; \omega, \mu_r) = \sum_{q=1}^Q \Theta^q(\omega, \mu_r) A^q </math>, with matrices <math> A^q </math>.

The matrices corresponding to the bilinear forms <math> a^q( \cdot , \cdot ) </math> as well as the input and output forms and the H(curl) inner product matrix have been assembled
using the [[wikipedia:Finite_Element_Method|Finite Element Method]], resulting in <math>27679</math> degrees of freedom, after removal of boundary conditions.

The coefficient functions are given by:

:<math> \Theta^1(\omega, \mu_r) = \frac{1}{\mu_r} </math>

:<math> \Theta^2(\omega, \mu_r) = -\omega^2. </math>

The parameter domain of interest is <math> \omega \in [1.0, 10.0] * 10^9 Hz</math>, where the factor of <math> 10^9 </math> has already been taken into account
while assembling the matrices, while the material variation occurs between <math> \mu_r \in [0.5, 2.0] </math>. The input functional also has a factor of <math> \omega </math>.

==Data==

The files are numbered according to their appearance in the summation and can be found here:
Part1
[[Media:branchline_part1.zip|branchline_part1.zip]]
Part2
[[Media:branchline_part2.zip|branchline_part2.zip]]
Part3
[[Media:branchline_part3.zip|branchline_part3.zip]]

==Origin==

The models have been developed within the [http://www.moresim4nano.org MoreSim4Nano project].

==Citation==

To cite this benchmark, use the following references:

* For the benchmark itself and its data:
::The MORwiki Community, '''Branchline Coupler'''. MORwiki - Model Order Reduction Wiki, 2018. http://modelreduction.org/index.php/Branchline_Coupler

@MISC{morwiki_branchcouple,
author = <nowiki>{{The MORwiki Community}}</nowiki>,
title = {Branchline Coupler},
howpublished = {{MORwiki} -- Model Order Reduction Wiki},
url = <nowiki>{http://modelreduction.org/index.php/Branchline_Coupler}</nowiki>,
year = {2013}
}

* For the background on the benchmark:
@ARTICLE{morHesB13,
author = {M.~W. Hess and P. Benner},
title = {Fast Evaluation of Time-Harmonic {M}axwell's
Equations Using the Reduced Basis Method},
journal = {{IEEE} Trans. Microw. Theory Techn.},
year = 2013,
volume = 61,
number = 6,
pages = {2265--2274},
doi = {10.1109/TMTT.2013.2258167}
}

==References==

<references>

<ref name="hess13">M. W. Hess, P. Benner, "[https://doi.org/10.1109/TMTT.2013.2258167 Fast Evaluation of Time-Harmonic Maxwell's Equations Using the Reduced Basis Method]", IEEE Transactions on Microwave Theory and Techniques, 61(6): 2265--2274, 2013.</ref>

</references>

==Contact==

'' [[User:hessm|Martin Hess]]''

Batch Chromatography

2022-08-25T13:00:22Z

Himpe:

[[Category:benchmark]]
[[Category:PDE]]
[[Category:nonlinear]]
[[Category:Parametric]]

==Description==

<figure id="fig:bach">[[File:Fig_BatchChrom.jpg|490px|thumb|right|<caption>Sketch of a batch chromatographic process for the separation of A and B.</caption>]]</figure>

Preparative liquid chromatography as a crucial separation and purification tool has been widely employed in food, fine chemical and pharmaceutical industries. Chromatographic separation at industry scale can be operated either discontinuously or in a continuous mode.
The continuous case will be discussed in the benchmark [[SMB]], and here we focus on the discontinuous mode -- [[wikipedia:Affinity_chromatography#Batch_and_column_setups|batch chromatography]].
The principle of the batch chromatographic process for the binary separation is shown in Fig. 1.
During the injection period <math>t_{inj}</math>, a mixture of products A and B is injected at the inlet of the column packed with a suitable stationary phase.
With the help of the mobile phase, the feed mixture flows through the column.
Since the to-be-separated solutes exhibit different adsorption affinities to the stationary phase, they move at different velocities,
and thus separate from each other when exiting the column.
At the column outlet, component A is collected between <math>t_1</math> and <math>t_2</math>, and component B is collected between <math>t_3</math> and <math>t_4</math>.
Here the positions of <math>t_1</math> and <math>t_4</math> are determined by a minimum concentration threshold that the detector can resolve, and the positions of <math>t_2</math> and <math>t_3</math> are determined by the purity specifications imposed on the products.
After the cycle period <math>t_{cyc}:=t_4-t_1</math>, the injection is repeated.
The feed flow-rate <math>Q</math> and injection period <math>t_{inj}</math> are often considered as the operating variables.
By properly choosing them, the process can achieve the desired performance criterion, such as production rate, while respecting the product specifications (e.g., purity, recovery yield).

The dynamics of the batch chromatographic column can be described precisely by an axially dispersed plug-flow model with a limited mass-transfer rate characterized by a linear driving force (LDF) approximation.
In this model the differential mass balance of component <math>i</math> (<math>i=A,B,</math>) in the liquid phase can be written as:

:<math>
\frac{\partial c_i}{\partial t}+\frac{1-\epsilon}{\epsilon}\frac{\partial q_i}{\partial t}+u\frac{\partial c_i}{\partial z}-D_i\frac{\partial^2 c_i}{\partial z^2}=0, \qquad z\in(0,\;L), \qquad (1)
</math>

where <math>c_i</math> and <math>q_i</math> are the concentrations of solute <math>i</math> in the liquid and solid phases, respectively, <math>u</math> the interstitial liquid velocity, <math>\epsilon</math> the column porosity, <math>t</math> the time coordinate, <math>z</math> the axial coordinate along the column, <math>L</math> the column length, <math>D_i=\frac{uL}{Pe}</math> the axial dispersion coefficient and <math>Pe</math> the [[wikipedia:Péclet_number|Péclet number]].
The adsorption rate is modeled by the LDF approximation:

:<math>
\frac{\partial q_i}{\partial t} = \kappa_{i}\,(q^{Eq}_i-q_i), \qquad z\in[0,\;L],
</math>

where <math>\kappa_{i}</math> is the mass-transfer coefficient of component <math>i</math> and <math>q^{Eq}_i</math> is the adsorption equilibrium concentration calculated by the isotherm equation for component <math>i</math>. Here the bi-[[wikipedia:Langmuir_adsorption_model|Langmuir]] isotherm model is used to describe the adsorption equilibrium:

:<math>
q^{Eq}_i=\frac{H_{i,1}\,c_i}{1+\sum_{j=A,B}K_{j,1}\,c_j}+\frac{H_{i,2}\,c_i}{1+\sum_{j=A,B}K_{j,2}\,c_j},\; i=A,B,
</math>

where <math>H_{i,1}</math> and <math>H_{i,2}</math> are the Henry constants, and <math>K_{j,1}</math> and <math>K_{j,2}</math> the thermodynamic coefficients.

The boundary conditions for (1) are specified by the Danckwerts relations:

:<math>
D_i\left.\frac{\partial c_i}{\partial z}\right|_{z=0} = u\,(\left.c_i\right|_{z=0}-c^{in}_i), \quad\quad \left.\frac{\partial c_i}{\partial z}\right|_{z=L}=0,
</math>

where <math>c^{in}_i</math> is the concentration of component <math>i</math> at the inlet of the column.
A rectangular injection is assumed for the system and thus

:<math>
c^{in}_i=\left \{ \begin{array}{cc} c^F_i, &\text{if } t \le t_{inj};\\
0, &\text{if } t > t_{inj}.
\end{array}
\right .
</math>

Here <math>c^F_i</math> is the feed concentration for component <math>i</math> and <math>t_{inj}</math> is the injection period.
In addition, the column is assumed unloaded initially:

:<math>
c_i(t=0,z)=q_i(t=0,z)=0,\quad z\in[0,\;L],\;i=A,B.
</math>

More details about the mathematical modeling for batch chromatography can be found in the literature <ref name="guiochon06"/>.

==Discretization==
In this model, the feed volumetric flow-rate <math>Q</math> and the injection period <math>t_{inj}</math> are considered as the operating parameters, and denoted as the parameter <math>\mu=(Q,\,t_{inj})</math>. Using the finite volume discretization, we get the full order model (FOM) as follows,

:<math>
\left\{
\begin{array}{ll}
\mathbf{ A c}_i^{k+1} = \mathbf{Bc}_i^{k} + d_i^k
- \frac{1-\epsilon}{\epsilon} \Delta t \mathbf h_i^k,\\
\mathbf{q}_i^{k+1} = \mathbf{q}_i^{k} + \Delta t \mathbf h_i^k,
\end{array}
\right .
</math>

where <math> \mathbf {c}_i^k ,\mathbf q_i^k \in \mathbb{R}^{\mathcal N}, i=A,B</math> are the solution vectors of <math> c_i</math> and <math>q_i</math> at the time instance <math>t=t^k, k = 0,1,\cdots,K, </math> respectively.
The time step <math>\Delta t </math> is determined by the stability condition.
The equation <math> \mathbf h_i^k = \kappa_{i} (\mathbf q^{Eq}_i - \mathbf q_i^k) </math>, is time- and parameter-dependent, the boldface <math>\mathbf{A,B}</math> are constant matrices. As a result, it is a nonlinear parametric system.

==Generation of ROM==

The reduced order model (ROM) can be obtained by the reduced basis method <ref name="zhang15"/>, which is applicable for nonlinear parametric systems, see
[[Reduced_Basis_PMOR_method|Reduced Basis PMOR method]].
For parametrized time-dependent problems, the reduced basis is often generated by using the POD-Greedy algorithm <ref name="haasdonk08"/>.
Notice that the nonlinear functions <math>\mathbf h_i, i=A, B</math> can be approximated by the empirical interpolation method <ref name="barrault04"/>,
such that the ROM can be obtained efficiently by the strategy of offline-online decomposition.

Assume <math>W_z</math> is the collateral reduced basis (CRB) for the nonlinear operator <math>h_z</math>, and <math>V_{c_z},V_{q_z}</math> are the reduced bases for the field variables <math>c_z</math> and <math>q_z</math>, respectively.
Applying Galerkin projection and empirical operator interpolation, the ROM can be formulated as:

:<math>
\left \{
\begin{array}{llll}
\hat{A}_{c_z} {a}_{c_z}^{n+1} =\hat{ B}_{c_z} {a}_{c_z}^{n} +
d_0^n\hat{d}_{c_z} - \frac{1-\epsilon}{\epsilon} \Delta t \hat{H}_{c_z}\beta_z^n,\\
{a}_{q_z}^{n+1} = {a}_{q_z}^{n} + \Delta t \hat{H}_{q_z} \beta_z^n,\\
\end{array}
\right .
</math>

where <math> {a}_{c_z}^n, {a}_{q_z}^n \in \mathbb R^N</math> are the solution of the ROM. <math>\hat{A}_{c_z}=V_{c_z}^T A V_{c_z},
\hat{ B}_{c_z}=V_{c_z}^T B V_{c_z},
\hat{d}_{c_z}^{n}=V_{c_z}^T e_1</math>,
<math>\hat{H}_{c_z}:= V_{c_z}^TW_z ,</math>
<math>\hat{H}_{q_z}:= V_{q_z}^TW_z </math> are the reduced matrices, <math>e_1:=(1,0,\cdots,0)</math>.
<math>\beta_z^n \in \mathbb R^M</math> is the coefficients of the CRB <math>W_z</math> for the empirical interpolation.

==Data==
<figure id="fig:cabfr">[[File:cabfrA.png|480px|thumb|right|<caption>Concentrations at the outlet of the column.</caption>]]</figure>

Fig. 2 shows the concentrations at the outlet of the column at a given parameter <math>\mu= (0.1018, 1.3487)</math>, which show that the ROM (<math>N=46, M=151</math>) reproduces the dynamics of the full order model (<math>\mathcal N=1000</math>).

==Citation==

To cite this benchmark, use the following references:

* For the benchmark itself and its data:
::The MORwiki Community, '''Batch Chromatography'''. MORwiki - Model Order Reduction Wiki, 2018. http://modelreduction.org/index.php/Batch_Chromatography

@MISC{morwiki_bone,
author = <nowiki>{{The MORwiki Community}}</nowiki>,
title = {Batch Chromatography},
howpublished = {{MORwiki} -- Model Order Reduction Wiki},
url = <nowiki>{http://modelreduction.org/index.php/Batch_Chromatography}</nowiki>,
year = {2018}
}

* For the background on the benchmark:

@ARTICLE{RieWHetal95,
author = <nowiki>{Y. Zhang and L. Feng and S. Li and P. Benner}</nowiki>,
title = {Accelerating {PDE} constrained optimization by the reduced basis method: application to batch chromatography},
journal = {International Journal for Numerical Methods in Engineering},
volume = {104},
number = {11},
pages = {983--1007},
year = {2015},
doi = {10.1002/nme.4950}
}

==References==

<references>

<ref name="guiochon06"> G. Guiochon, A. Felinger, D. G. Shirazi, A. M. Katti, [http://books.google.com/books/about/Fundamentals_of_preparative_and_nonlinea.html?id=UjZRAAAAMAAJ Fundamentals of Preparative and Nonlinear Chromatography], 2nd Edition, Academic Press, 2006.</ref>

<ref name="barrault04"> M. Barrault, Y. Maday, N.C. Nguyen, and A.T. Patera, "[https://doi.org/10.1016/j.crma.2004.08.006 An 'empirical interpolation' method: application to efficient reduced-basis discretization of partial differential equations]", C. R. Acad. Sci. Paris Series I, 339 (2004), 667-672.</ref>

<ref name="haasdonk08"> B. Haasdonk and M. Ohlberger, "[https://doi.org/10.1051/m2an:2008001 Reduced basis method for finite volume approximations of parameterized linear evolution equations]", Mathematical Modeling and Numerical Analysis, 42 (2008), 277-302.</ref>

<ref name="zhang15"> Y. Zhang, L. Feng, S. Li and P. Benner, "[https://doi.org/10.1002/nme.4950 Accelerating PDE constrained optimization by the reduced basis method: application to batch chromatography]", International Journal for Numerical Methods in Engineering, 104(11): 983--1007, 2015.</ref>

</references>

==Contact==

'' [[User:Zhangy|Yongjin Zhang]]''

'' [[User:Suzhou|Suzhou Li]]''

Windscreen

2022-08-25T12:59:58Z

Himpe:

[[Category:benchmark]]
[[Category:Oberwolfach]]
[[Category:Linear]]
[[Category:Affine parameter representation]]
[[Category:Parametric]]
[[Category:SISO]]
[[Category:Sparse]]

==Description==
<figure id="fig1">[[File:Windscreen1.gif|490px|thumb|right|Figure 1]]</figure>
<figure id="fig2">[[File:Windscreen2.png|490px|thumb|right|Figure 2]]</figure>

This is an example for a model in the frequency domain of the form

:<math>
\begin{align}
K_d x - \omega^2 M x & = f \\
y & = f^* x
\end{align}
</math>

where <math>f</math> represents a unit point load in one unknown of the state vector.
<math>M</math> is a symmetric positive-definite matrix and <math>K_d = (1+i\gamma) K</math> where <math>K</math> is symmetric positive semi-definite.

The test problem is a structural model of a car windscreen. <ref name="meerbergen2007"/>
This is a 3D problem discretized with <math>7564</math> nodes and <math>5400</math> linear hexahedral elements (3 layers of <math>60 \times 30</math> elements).
The mesh is shown in Fig. 1.
The material is glass with the following properties:
The [[wikipedia:Young's_modulus|Young modulus]] is <math>7\times10^{10}\mathrm{N}/\mathrm{m}^2</math>, the density is <math>2490 \mathrm{kg}/\mathrm{m}^3</math>, and the [[wikipedia:Poisson's_ratio|Poisson ratio]] is <math>0.23</math>. The natural damping is <math>10\%</math>, i.e. <math>\gamma=0.1</math>.
The structural boundaries are free (free-free boundary conditions).
The windscreen is subjected to a point force applied on a corner.
The goal of the model reduction is the fast evaluation of <math>y</math>.
Model reduction is used as a fast linear solver for a sequence of parametrized linear systems.

The discretized problem has dimension <math>n=22692</math>.
The goal is to estimate <math>x(\omega)</math> for <math>\omega\in[0.5,200]</math>.
In order to generate the plots, the frequency range was discretized as <math>\{\omega_1,\ldots,\omega_m\} =
\{0.5j,j=1,\ldots,m\}</math> with <math>m=400</math>.

Fig. 1 shows the mesh of the car windscreen and Fig. 2 the frequency response <math>\vert \Re(y(\omega)) \vert</math>.

==Origin==

This benchmark is part of the '''Oberwolfach Benchmark Collection'''<ref name="korvink2005"/>; No. 38886.

==Data==

Download matrices in the [http://math.nist.gov/MatrixMarket/ Matrix Market] format:

* [https://csc.mpi-magdeburg.mpg.de/mpcsc/MORWIKI/Oberwolfach/Windscreen-dim1e4-windscreen.tar.gz Windscreen-dim1e4-windscreen.tar.gz] (21.5 MB)

The archive contains files <tt>windscreen.K</tt>, <tt>windscreen.M</tt> and <tt>windscreen.B</tt> representing <math>K_d</math>, <math>-M</math> and <math>f</math> accordingly.

==Dimensions==

System structure:
:<math>
\begin{align}
(K + \omega^2 M) x & = B \\
y & = B^{\mathrm{T}} x
\end{align}
</math>
with <math>\omega \in [0.5, 200]</math>.

System dimensions:

<math>K \in \mathbb{C}^{45384 \times 45384}</math>,
<math>M \in \mathbb{R}^{45384 \times 45384}</math>,
<math>B \in \mathbb{R}^{45384 \times 1}</math>.

==Citation==
To cite this benchmark, use the following references:

* For the benchmark itself and its data:
:: Oberwolfach Benchmark Collection, '''Windscreen'''. hosted at MORwiki - Model Order Reduction Wiki, 2018. http://modelreduction.org/index.php/Windscreen

@MISC{morwiki_windscreen,
author = <nowiki>{{Oberwolfach Benchmark Collection}}</nowiki>,
title = {Windscreen},
howpublished = {hosted at {MORwiki} -- Model Order Reduction Wiki},
url = <nowiki>{http://modelreduction.org/index.php/Windscreen}</nowiki>,
year = 20XX
}

* For the background on the benchmark:

@article{Mee07,
author = {K. Meerbergen},
title = {Fast frequency response computation for {R}ayleigh damping},
journal = {International Journal for Numerical Methods in Engineering},
volume = {73},
number = {1},
pages = {96--106},
year = {2007},
doi = {10.1002/nme.2058},
}

==References==

<references>

<ref name="korvink2005"> J.G. Korvink, E.B. Rudnyi, [https://doi.org/10.1007/3-540-27909-1_11 Oberwolfach Benchmark Collection], In: Dimension Reduction of Large-Scale Systems, Lecture Notes in Computational Science and Engineering, vol 45: 311--315, 2005.</ref>

<ref name="meerbergen2007"> K. Meerbergen, [https://doi.org/10.1002/nme.2058 Fast frequency response computation for Rayleigh damping], International Journal for Numerical Methods in Engineering, 73(1): 96--106, 2007.</ref>

</references>

Vertical Stand

2022-08-25T12:59:47Z

Himpe:

[[Category:benchmark]]
[[Category:Parametric]]
[[Category:Sparse]]
[[Category:linear]]
[[Category:time varying]]
[[Category:first differential order]]
[[Category:ODE]]
[[Category:MIMO]]

__NUMBEREDHEADINGS__

==Description==

<figure id="fig:cad">
[[File:Staender_Geom_white.jpg|180px|thumb|right|<caption>CAD Geometry</caption>]]
</figure>

The '''vertical stand''' (see Fig. 1) represents a structural part of a machine tool. A pair of guide rails is located on one of the surfaces of this structural part,
and during the machining process, a tool slide is moved to different positions along these rails. The machining process produces a certain amount of heat which is transported through the slide structure into the '''vertical stand'''. This heat source is considered to be a temperature input <math>q_{th}(t)</math> at the guide rails. The induced temperature field, denoted by <math> T </math> is modeled by the [[wikipedia:heat equation|heat equation]]

:<math>
c_p\rho\frac{\partial{T}}{\partial{t}}=\Delta T=0
</math>

with the boundary conditions

:<math>
\lambda\frac{\partial T}{\partial n}=q_{th}(t) \qquad\qquad\qquad
</math> on <math> \Gamma_{rail} </math> (surface where the tool slide is moving on the guide rails),

describing the heat transfer between the tool slide and the '''vertical stand'''.
The heat transfer to the ambiance is given by the locally fixed [[wikipedia:Robin_boundary_condition|Robin-type boundary condition]]

:<math>
\lambda\frac{\partial T}{\partial n}=\kappa_i(T-T_i^{ext})
</math> on <math> \Gamma_{amb} </math> (remaining boundaries).

The motion driven temperature input and the associated change in the temperature field <math>T</math> lead to deformations <math>u</math> within the stand structure. Further, it is assumed that no external forces <math>q_{el}</math> are induced to the system, such that the deformation is purely driven by the change of temperature. Since the mechanical behavior of the machine stand is much faster than the propagation of the thermal field, it is sufficient to consider the stationary [[wikipedia:Linear_elasticity|linear elasticity]] equations
:<math>
\begin{align}
-\operatorname{div}(\sigma(u)) &=q_{el}=0&\text{ on }\Omega,\\
\varepsilon(u) &= {\mathbf{C}}^{-1}:\sigma(u)+\beta(T-T_{ref})I_d&\text{ on }\Omega,\\
{\mathbf{C}}^{-1}\sigma(u) &=\frac{1+\nu}{E_u}\sigma(u)-\frac{\nu}{E_u}\text{tr}(\sigma(u))I_d&\text{ on }\Omega,\\
\varepsilon(u) &= \frac{1}{2}(\nabla u+\nabla u^T)&\text{on }\Omega.
\end{align}
</math>

'''Geometrical dimensions:'''

Stand: Width (<math>x</math> direction): <math>519mm</math>, Height (<math>y</math> direction): <math>2\,010mm</math>, Depth (<math>z</math> direction): <math>480mm</math>

Guide rails: <math>y\in [519, 2\,004] mm</math>

Slide: Width: <math>430 mm</math>, Height: <math>500mm</math>, Depth: <math>490 mm</math>

===Discretized Model===
The solid model has been generated and meshed in [[wikipedia:ANSYS|ANSYS]].
For the spatial discretization the [[wikipedia:finite element method|finite element method]] with linear Lagrange elements has been used and is implemented in [[wikipedia:FEniCS Project|FEniCS]]. The resulting system of [[wikipedia:ordinary differential equations|ordinary differential equations (ODE)]], representing the thermal behavior of the stand, reads

:<math>
\begin{align}
E \frac{\partial}{\partial t} T(t) &= A(t)T(t) + B(t)z(t), \\
T(0) &= T_0,
\end{align}
</math>

with <math>t>0</math> and a system dimension of <math>n=16\,626</math> degrees of freedom and <math>m=6</math> inputs. Note that <math>A(.)\in\mathbb{R}^{n\times n}</math> and <math>B(.)\in\mathbb{R}^{n\times m}</math> are time-dependent matrix-valued functions. That is, the underlying model is represented by a linear time-Varying (LTV) state-space system. More precisely, here the time dependence originates from the change of the boundary condition on <math>\Gamma_{rail}</math> due to the motion of the tool slide. The system input is, according to the boundary conditions, given by
:<math>
z_i=\begin{cases}
q_{th}(t), i=1,\\
\kappa_i T_i^{ext}(t), i=2,\dots,6
\end{cases}.
</math>

The discretized stationary elasticity model becomes
:<math>
Mu(t)=KT(t).
</math>
For the observation of the displacements in single points/regions of interest an output equation of the form
:<math>
y(t) = C u(t)
</math>
is given.

Exploiting the one-sided coupling of the temperature and deformation fields, and reorganizing the elasticity equation in the form <math>u(t)=M^{-1}KT(t)</math>, the heat equation and the elasticity model can easily be combined via the output equation. Finally, the thermo-elastic control system is of the form
:<math>
\begin{align}
E \frac{\partial}{\partial t} T(t) &= A(t)T(t) + B(t)z(t), \\
y(t)& = \tilde{C}T(t),\\
T(0) &= T_0,
\end{align}
</math>
where the modified output matrix <math>\tilde{C}=CM^{-1}KT(t)</math> includes the entire elasticity information.

The motion of the tool slide and the associated variation of the affected input boundary are modeled by two different system representations. The following specific model representations have been developed and investigated in <ref name="morLanSB14" />, <ref name="LanSB15" />, <ref name="Lan17" />.

===Switched Linear System===
<figure id="fig:segm">
[[File:Slide_stand_scheme_new.pdf|thumb|right|220px|<caption>Schematic segmentation</caption>]]
</figure>

For the model description as a switched linear system, the guide rails of the machine stand are modeled as fifteen equally distributed horizontal segments with a height of <math>99mm</math> (see a schematic depiction in Fig. 2). Any of these segments is assumed to be completely covered by the tool slide if its midpoint (in y-direction) lies within the height of the slide. On the other hand, each segment whose midpoint is not covered is treated as not in contact and therefore the slide always covers five to six segments at each time. Still, the covering of six segments does not have a significant effect on the behavior of the temperature and displacement fields. Due to that and in order to keep the number of subsystems small, this scenario will be neglected. Then, in fact eleven distinct, discrete boundary condition configurations for the stand model that are prescribed by the geometrical dimensions of the segmentation and the tool slide are defined. These distinguishable setups define the subsystems
:<math>
\begin{align}
E\dot{T}(t)&=A_{\alpha}T(t)+B_{\alpha}z(t),\\
y(t)&=\tilde{C}T(t),
\end{align}
</math>
of the switched linear system <ref name=Lib03/>, where <math>\alpha</math> is a piecewise constant function of time, which takes its value from the index set <math>\mathcal{J}=\{1,\dots,11\}</math>. To be more precise, the switching signal <math>\alpha</math> implicitly maps the slide position to the number of the currently active subsystem.

===Linear Parameter-Varying System===
For the parametric model description, the finite element nodes located at the guide rails are clustered with respect to their y-coordinates. This results in <math>233</math> distinct layers in y-direction. According to these layers, the matrices <math>A(t)=A(\mu(t)), B(t)=B(\mu(t)) </math> are defined in a parameter-affine representation of the form
:<math>
\begin{align}
A(\mu) = A_0+f_1(\mu)A_1+...+f_{m_A}(\mu)A_{m_A},\\
B(\mu) = B_0+g_1(\mu)B_1+...+g_{m_B}(\mu)B_{m_B}
\end{align}
</math>
with the scalar functions <math>f_i,g_j\in\{0,1\}, i=1,...,m_A, j=1,...,m_B</math> selecting the active layers, covered by the tool slide and <math>\mu(t)</math> being the position of the middle point (vertical / y-direction) of the slide. The matrix <math>A_0\in\mathbb{R}^{n\times n}</math> consists of the discretization of the [[wikipedia:Laplace operator|Laplacian]] <math>\Delta</math>, as well as the discrete portions from the Robin-type boundaries that correspond to the temperature exchange with the ambiance. The remaining summands <math>A_j\in\mathbb{R}^{n\times n},~j=1,...,m_A</math> denote the discretization associated to the moving Robin-type boundaries. For the representation of the input matrix, the summand <math>B_0\in\mathbb{R}^{n\times 6}</math> consists of a single zero column followed by five columns related to the inputs <math>z_i,~i=2,...,6</math>. The remaing matrices <math>B_j,~j=1,...,m_B</math> are built by a single column corresponding to the different layers followed by a zero block of dimension <math>n\times 5</math> designated to fit the dimension of <math>B_0</math>.

Note that in general, the number of summands of these representations need not be equal. Still, according to the number of layers, for this example, it holds that <math>m_A=m_B=233</math>. For more details on parametric models, see e.g., <ref name="morBauBBetal11" /> and the references therein.

Then, the final linear parameter-varying (LPV) reformulation of the above LTV system reads
:<math>
\begin{align}
E\dot{T}(t)&=A(\mu)T(t)+B(\mu)z(t),\\
y(t)&=\tilde{C}T(t).
\end{align}
</math>

==Acknowledgement & Origin==
The base model was developed <ref name="GalGM11" />, <ref name="GalGM15" /> in the [http://transregio96.de Collaborative Research Centre Transregio 96] ''Thermo-Energetic Design of Machine Tools'' funded by the [http://www.dfg.de/en/index.jsp Deutsche Forschungsgemeinschaft] .

==Data==
====Switched System Data====
The data file [[Media:VertStand_SLS.tar.gz|VertStand_SLS.tar.gz]] contains the matrices


:<math>
\begin{align}
E\in\mathbb{R}^{n\times n}, \tilde{C}\in\mathbb{R}^{q\times n}, A_\alpha\in\mathbb{R}^{n\times n}, B_\alpha\in\mathbb{R}^{n\times m}, \alpha=1,\dots,11.
\end{align}
</math>
defining the subsystems of the switched linear system.
The matrices <math>A_\alpha</math> and <math>B_\alpha</math> are numbered according to the slide position in descending order (1 - uppermost slide position / 11 - lowest slide position).

System dimensions:
:<math>
n=16\,626, m=6, q=27
</math>

====Parametric System Data====
The data file [[Media:VertStand_PAR.tar.gz|VertStand_PAR.tar.gz]] contains the matrices

:<math>
E,A_j\in\mathbb{R}^{n\times n},j=1,...,234, B_{rail}\in\mathbb{R}^{n\times 233}, B_{amb}\in\mathbb{R}^{n\times 5}</math> and <math>\tilde{C}\in\mathbb{R}^{q\times n}, q=27, n=16\,626,
</math>
as well as a file ''ycoord_layers.mtx'' containing the y-coordinates of the layers located on the guide rails.

Here <math>B_{rail} </math> contains all columns corresponding to the different layers on the guide rails and <math>B_{amb}</math> correlates to the boundaries where the ambient temperatures act on.

In order to set up the parameter dependent matrices <math>A(\mu),B(\mu)</math> the active matrices <math>A_i</math> and columns <math>B_{rail}(:,i)</math> associated to the covered layers have to be identified by the current position <math>\mu(t)</math> (vertical middle point of the slide) and the geometrical dimensions of the tool slide and the y-coordinates of the different layers given in ''ycoord_layers.mtx''. Then, <math>B(\mu)</math> has to be set up in the form <math>B(\mu)=[\sum_{i\in id_{active}}\!\!\!\!\!B_{rail}(:,i),B_{amb}]</math>, where <math>id_{active}</math> denotes the set of covered layers and their corresponding columns in <math>B_{rail}</math>.



==Citation==

To cite this benchmark, use the following references:

* For the benchmark itself and its data:
::The MORwiki Community, '''Vertical Stand'''. MORwiki - Model Order Reduction Wiki, 2018. http://modelreduction.org/index.php/Vertical_Stand

@MISC{morwiki_vertstand,
author = <nowiki>{{The MORwiki Community}}</nowiki>,
title = {Vertical Stand},
howpublished = {{MORwiki} -- Model Order Reduction Wiki},
url = <nowiki>{http://modelreduction.org/index.php/Vertical_Stand}</nowiki>,
year = 2014
}

* For the background on the benchmark:

@Article{morLanSB14,
author = {Lang, N. and Saak, J. and Benner, P.},
title = {Model Order Reduction for Systems with Moving Loads},
journal = {at-Automatisierungstechnik},
volume = 62,
number = 7,
pages = {512--522},
year = 2014,
doi = {10.1515/auto-2014-1095}
}

==References==

<references>

<ref name="morBauBBetal11"> U. Baur, C. A. Beattie, P. Benner, and S. Gugercin,
"[http://epubs.siam.org/doi/abs/10.1137/090776925 Interpolatory projection methods for parameterized model reduction]",
SIAM J. Sci. Comput., 33(5):2489-2518, 2011</ref>

<ref name="Lib03">D. Liberzon, [https://doi.org/10.1007/978-3-319-12625-8_8 Switching in Systems and Control] , Springer-Verlag, New York, 2003</ref>

<ref name="GalGM11"> A. Galant, K. Großmann, and A. Mühl, Model Order Reduction (MOR) for
Thermo-Elastic Models of Frame Structural Components on Machine Tools.
ANSYS Conference & 29th CADFEM Users’ Meeting 2011, October
19-21, 2011, Stuttgart, Germany</ref>.

<ref name="morLanSB14">N. Lang and J. Saak and P. Benner,
[https://doi.org/10.1515/auto-2014-1095 Model Order Reduction for Systems with Moving Loads] ,
in De Gruyter Oldenbourg: at-Automatisierungstechnik, Volume 62, Issue 7, Pages 512-522, 2014</ref>

<ref name="LanSB15">N. Lang, J. Saak and P. Benner, [https://doi.org/10.1007/978-3-319-12625-8_8 Model Order Reduction for Thermo-Elastic Assembly Group Models] , In: Thermo Energetic Design of Machine Tools, Lecture Notes in Production Engineering, 85-92, 2015</ref>

<ref name="Lan17">N. Lang, [https://www.logos-verlag.de/cgi-bin/buch/isbn/4700 Numerical Methods for Large-Scale Linear Time-Varying Control Systems and related Differential Matrix Equations] , Logos-Verlag, 2018. ISBN: 978-3-8325-4700-4</ref>

<ref name="GalGM15">A. Galant, K. Großmann and A. Mühl, [https://doi.org/10.1007/978-3-319-12625-8_7 Thermo-Elastic Simulation of Entire Machine Tool] , In: Thermo Energetic Design of Machine Tools, Lecture Notes in Production Engineering, 69-84, 2015</ref>

</references>

==Contact==

'' [[User:Saak]]''

Synthetic parametric model

2022-08-25T12:59:36Z

Himpe:

[[Category:benchmark]]
[[Category:procedural]]
[[Category:parametric]]
[[Category:linear]]
[[Category:time invariant]]
[[Category:Parametric]]
[[Category:first differential order]]
[[Category:SISO]]
[[Category:Sparse]]

==Description==

<figure id="fig1">[[File:synth_poles.png|600px|thumb|right|<caption>System poles for different parameter values.</caption>]]</figure>

On this page you will find a synthetic parametric model with one parameter for which one can easily experiment with different system orders, values of the parameter, as well as different poles and residues (see Fig. 1).
Also, the decay of the Hankel singular values can be changed indirectly through the parameter.

===Model===

We consider a dynamical system in the frequency domain given by its pole-residue form of the transfer function

:<math>
\begin{align}
H(s,\varepsilon) & = \sum_{k=1}^{N}\frac{r_{k}}{s-p_{k}}\\
& = \sum_{k=1}^{N}\frac{r_{k}}{s-(\varepsilon a_{k} + jb_{k})},
\end{align}
</math>

with <math>p_{k} = \varepsilon a_{k} + jb_{k}</math> the poles of the system, <math>j</math> the imaginary unit, and <math>r_{k}</math> the residues.
The parameter <math>\varepsilon</math> is used to scale the real part of the system poles.
We can write down the state-space realization of the system's transfer function as

:<math>
\begin{align}
H(s,\varepsilon) = \widehat{C}(sI_{N} - (\varepsilon \widehat{A}_{\varepsilon} + \widehat{A}_{0}))^{-1}\widehat{B},
\end{align}
</math>

with the corresponding system matrices <math>\widehat{A}_{\varepsilon} \in \mathbb{R}^{N \times N}</math>, <math>\widehat{A}_{0} \in \mathbb{C}^{N \times N}</math>, <math>\widehat{B} \in \mathbb{R}^{N}</math>, and <math>\widehat{C}^{T} \in \mathbb{C}^{N}</math> given by

:<math>
\begin{align}
\varepsilon\widehat{A}_{\varepsilon} + \widehat{A}_{0}
& = \varepsilon \begin{bmatrix} a_{1} & & \\ & \ddots & \\ & & a_{N} \end{bmatrix}
+ \begin{bmatrix} jb_{1} & & \\ & \ddots & \\ & & jb_{N} \end{bmatrix},\\
\widehat{B} & = \begin{bmatrix}1, & \ldots, & 1 \end{bmatrix}^{T},\\
\widehat{C} & = \begin{bmatrix}r_{1}, & \ldots, & r_{n} \end{bmatrix}.
\end{align}
</math>

One notices that the system matrices <math>\widehat{A}_{0}</math> and <math>\widehat{C}</math> have complex entries.
For rewriting the system with real matrices, we assume that <math>N</math> is even, <math>N=2m</math>, and that all system poles are complex and ordered in complex conjugate pairs, i.e.,

:<math>
\begin{align}
p_{1} & = \varepsilon a_{1} + jb_{1},\\
p_{2} & = \varepsilon a_{1} - jb_{1},\\
& \ldots\\
p_{N-1} & = \varepsilon a_{m} + jb_{m},\\
p_{N} & = \varepsilon a_{m} - jb_{m}.
\end{align}
</math>

Corresponding to the system poles, also the residues are written in complex conjugate pairs

:<math>
\begin{align}
r_{1} & = c_{1} + jd_{1},\\
r_{2} & = c_{1} - jd_{1},\\
& \ldots\\
r_{N-1} & = c_{m} + jd_{m},\\
r_N & = c_{m} - jd_{m}.
\end{align}
</math>

Using this, the realization of the dynamical system can be written with matrices having real entries by

:<math>
\begin{align}
A_{\varepsilon} & = \begin{bmatrix} A_{\varepsilon, 1} & & \\ & \ddots & \\ & & A_{\varepsilon, m} \end{bmatrix}, &
A_{0} & = \begin{bmatrix} A_{0, 1} & & \\ & \ddots & \\ & & A_{0, m} \end{bmatrix}, &
B & = \begin{bmatrix} B_{1} \\ \vdots \\ B_{m} \end{bmatrix}, &
C & = \begin{bmatrix} C_{1}, & \cdots, & C_{m} \end{bmatrix},
\end{align}
</math>

with <math>A_{\varepsilon, k} = \begin{bmatrix} a_{k} & 0 \\ 0 & a_{k} \end{bmatrix}</math>, <math>A_{0, k} = \begin{bmatrix} 0 & b_{k} \\ -b_{k} & 0 \end{bmatrix}</math>, <math>B_{k} = \begin{bmatrix} 2 \\ 0 \end{bmatrix}</math>, <math>C_{k} = \begin{bmatrix} c_{k}, & d_{k} \end{bmatrix}</math>.

<figure id="fig2">[[File:synth_freq_resp.png|600px|thumb|right|<caption>Frequency response of synthetic parametric system for different parameter values.</caption>]]</figure>

===Numerical Values===

<figure id="fig3">[[File:synth_hsv.png|600px|thumb|right|<caption>Hankel singular values of synthetic parametric system for different parameter values.</caption>]]</figure>

We construct a system of order <math>N = 100</math>.
The numerical values for the different variables are

* <math>a_{k}</math> equally spaced in the interval <math>[-10^3, -10]</math>,

* <math>b_{k}</math> equally spaced in the interval <math>[10, 10^3]</math>,

* <math>c_{k} = 1</math>,

* <math>d_{k} = 0</math>,

* <math>\varepsilon \in \left[\frac{1}{50}, 1\right]</math>.

The frequency response of the transfer function <math>H(s,\varepsilon) = C(sI_{N}-(\varepsilon A_{\varepsilon} + A_{0}))^{-1}B</math> is plotted for parameter values <math>\varepsilon \in \left[\frac{1}{50}, \frac{1}{20}, \frac{1}{10}, \frac{1}{5}, \frac{1}{2}, 1\right]</math> in Fig. 2.

Other interesting plots result for small values of the parameter <math>\varepsilon</math>.
For example, for <math>\varepsilon = \frac{1}{100}</math> or <math>\frac{1}{1000}</math>, the peaks in the frequency response become more pronounced, since the poles move closer to the imaginary axis.

For <math>\varepsilon \in \left[\frac{1}{50}, \frac{1}{20}, \frac{1}{10}, \frac{1}{5}, \frac{1}{2}, 1\right]</math>, we also plotted the decay of the Hankel singular values in Fig. 3.
Notice that for small values of the parameter, the decay of the Hankel singular values is very slow.

==Data and Scripts==

This benchmark includes one data set. The matrices can be downloaded in the [http://math.nist.gov/MatrixMarket/formats.html MatrixMarket] format:
* [[Media:Synth_matrices.tar.gz|Synth_matrices.tar.gz]] (1.28 kB)
The matrix name is used as an extension of the matrix file.

System data of arbitrary even order <math>N</math> can be generated in MATLAB or Octave by the following script:

<syntaxhighlight lang="octave">
N = 100; % Order of the resulting system.

% Set coefficients.
a = -linspace(1e1, 1e3, N/2).';
b = linspace(1e1, 1e3, N/2).';
c = ones(N/2, 1);
d = zeros(N/2, 1);

% Build 2x2 submatrices.
aa(1:2:N-1, 1) = a;
aa(2:2:N, 1) = a;
bb(1:2:N-1, 1) = b;
bb(2:2:N-2, 1) = 0;

% Set up system matrices.
Ae = spdiags(aa, 0, N, N);
A0 = spdiags([0; bb], 1, N, N) + spdiags(-bb, -1, N, N);
B = 2 * sparse(mod(1:N, 2)).';
C(1:2:N-1) = c.';
C(2:2:N) = d.';
C = sparse(C);
</syntaxhighlight>

or in Python:

<syntaxhighlight lang="python">
import numpy as np
import scipy.sparse as sps

N = 100 # Order of the resulting system.

# Set coefficients.
a = -np.linspace(1e1, 1e3, N//2)
b = np.linspace(1e1, 1e3, N//2)
c = np.ones(N//2)
d = np.zeros(N//2)

# Build 2x2 submatrices.
aa = np.empty(N)
aa[::2] = a
aa[1::2] = a
bb = np.zeros(N)
bb[::2] = b

# Set up system matrices.
Ae = sps.diags(aa, format='csc')
A0 = sps.diags([bb, -bb], [1, -1], (N, N), format='csc')
B = np.zeros((N, 1))
B[::2, :] = 2
C = np.empty((1, N))
C[0, ::2] = c
C[0, 1::2] = d
</syntaxhighlight>

Beside that, the plots in Fig. 1 and Fig. 2 can be generated in MATLAB and Octave using the following script:

<syntaxhighlight lang="octave">
% Get residues of the system.
r(1:2:N-1, 1) = c + 1j * d;
r(2:2:N, 1) = c - 1j * d;

ep = [1/50; 1/20; 1/10; 1/5; 1/2; 1]; % Parameter epsilon.
jw = 1j * linspace(0, 1.2e3, 5000).'; % Frequency grid.

% Computations for all given parameter values.
p = zeros(2 * length(a), length(ep));
Hjw = zeros(length(ep), 5000);
for k = 1:length(ep)
p(:, k) = [ep(k) * a + 1j * b; ep(k) * a - 1j * b]; % Poles.
[jww, pp] = meshgrid(jw, p(:, k));
Hjw(k, :) = (r.') * (1 ./ (jww - pp)); % Frequency response.
end

% Plot poles.
figure;
plot(real(p), imag(p), '.', 'MarkerSize', 12);
xlabel('Re(p)');
ylabel('Im(p)');
legend( ...
'\epsilon = 1/50', ...
'\epsilon = 1/20', ...
'\epsilon = 1/10', ...
'\epsilon = 1/5', ...
'\epsilon = 1/2', ...
'\epsilon = 1');

% Plot frequency response.
figure;
loglog(imag(jw), abs(Hjw), 'LineWidth', 2);
axis tight;
xlim([6 1200]);
xlabel('frequency (rad/sec)');
ylabel('magnitude');
legend( ...
'\epsilon = 1/50', ...
'\epsilon = 1/20', ...
'\epsilon = 1/10', ...
'\epsilon = 1/5', ...
'\epsilon = 1/2', ...
'\epsilon = 1');
</syntaxhighlight>

or in Python:

<syntaxhighlight lang="python">
import matplotlib.pyplot as plt

# Get residues of the system.
r = np.empty(N, dtype=complex)
r[::2] = c + 1j * d
r[1::2] = c - 1j * d

ep = [1/50, 1/20, 1/10, 1/5, 1/2, 1] # Parameter epsilon.
jw = 1j * np.geomspace(6, 1.2e3, 5000) # Frequency grid.

# Computations for all given parameter values.
p = np.zeros((len(ep), N), dtype=complex)
Hjw = np.zeros((len(ep), len(jw)), dtype=complex)
for k, epk in enumerate(ep):
# Poles.
p[k, :N//2] = epk * a + 1j * b
p[k, N//2:] = epk * a - 1j * b
# Frequency response.
Hjw[k, :] = (r / (jw[:, np.newaxis] - p[k])).sum(axis=1)

# Plot poles.
fig, ax = plt.subplots()
for k, epk in enumerate(ep):
ax.plot(p[k].real, p[k].imag, '.', label=fr'$\varepsilon$ = {epk}')
ax.autoscale(tight=True)
ax.set_xlabel('Re(p)')
ax.set_ylabel('Im(p)')
ax.legend()

# Plot frequency response.
fig, ax = plt.subplots()
for k, epk in enumerate(ep):
ax.loglog(jw.imag, np.abs(Hjw[k]), label=fr'$\varepsilon$ = {epk}', linewidth=2)
ax.autoscale(tight=True)
ax.set_xlabel('frequency (rad/sec)')
ax.set_ylabel('magnitude')
ax.legend()
</syntaxhighlight>

==Dimensions==

System structure:
:<math>
\begin{align}
\dot{x}(t) &= (\varepsilon A_{\varepsilon} + A_{0})x(t) + Bu(t), \\
y(t) &= Cx(t)
\end{align}
</math>

System dimensions:

<math>A_{\varepsilon} \in \mathbb{R}^{N \times N}</math>,
<math>A_{0} \in \mathbb{R}^{N \times N}</math>,
<math>B \in \mathbb{R}^{N \times 1}</math>,
<math>C \in \mathbb{R}^{1 \times N}</math>

System variants:

<tt>Synth_matrices</tt>: <math>N = 100</math>,
arbitrary even order <math>N</math> by using the [[#scr1|script]]

==Citation==

To cite this benchmark and its data:
::The MORwiki Community, '''Synthetic parametric model'''. hosted at MORwiki - Model Order Reduction Wiki, 2005. http://modelreduction.org/index.php/Synthetic_parametric_model

@MISC{morwiki_synth_pmodel,
author = <nowiki>{{The MORwiki Community}}</nowiki>,
title = {Synthetic parametric model},
howpublished = {hosted at {MORwiki} -- Model Order Reduction Wiki},
url = <nowiki>{http://modelreduction.org/index.php/Synthetic_parametric_model}</nowiki>,
year = 2005
}

==Contact==

''[[User:Ionita]]''

Anemometer

2022-08-25T12:59:15Z

Himpe:

[[Category:benchmark]]
[[Category:parametric]]
[[Category:linear]]
[[Category:ODE]]
[[Category:time invariant]]
[[Category:Parametric]]
[[Category:affine parameter representation]]
[[Category:first differential order]]
[[Category:SISO]]

==Description==

<figure id="fig:plot1">
[[File:Model_Color.pdf|600px|thumb|right|<caption>Schematic 2D-Model-Anemometer</caption>]]
</figure>
<figure id="fig:plot2">

[[file:ContourPlot30.pdf|600px|thumb|right|<caption>Calculated temperature profile for the Anemometer function</caption>]]

</figure>

An '''Anemometer'''<ref name="ernst01" group="a)"/><ref name="benner05" group="a)"/><ref name="moosmann05" group="a)"/><ref name="moosmann07" group="c)"/><ref name="moosmann05b" group="c)"/><ref name="rudnyi06" group="c)"/> (see [[wikipedia:Thermal_mass_flow_meter|thermal mass flow meter]])
is a flow sensing device, consisting of a heater and temperature sensors before and after the heater, placed either directly in the flow or in its vicinity Fig. 1.
They are located on a membrane to minimize heat dissipation through the structure.
Without any flow, the heat dissipates symmetrically into the fluid.
This symmetry is disturbed if a flow is applied to the fluid,
which leads to a convection on the temperature field and therefore to a difference between the temperature sensors (see Fig. 2) from which the fluid velocity can be determined.

The physical model can be expressed by the [[wikipedia:Convection–diffusion_equation|convection-diffusion partial differential equation]] <ref name="moosmann04" group="b)"/>:

:<math>\rho c \frac{\partial T}{\partial t} = \nabla \cdot (\kappa
\nabla T ) - \rho c v \nabla T + \dot q,</math>

where <math>\rho</math> denotes the mass density, <math>c</math> is the specific heat capacity, <math>\kappa</math> is the thermal conductivity,
<math>v</math> is the fluid velocity, <math>T</math> is the temperature, and <math>\dot q</math> is the heat flow into the system caused by the heater.

The solid model has been generated and meshed in [[wikipedia:ANSYS|ANSYS]].
Triangular [http://www.ansys.stuba.sk/html/elem_55/chapter4/ES4-55.htm PLANE55] elements have been used for the finite element discretization.
The order of the system is <math>n = 29008</math>.

Example with one parameter:

The <math>n</math> dimensional [[wikipedia:Ordinary_Differential_Equation|ODE]] system has the following transfer function
:<math>
G(p) = C((sE - A_1- p(A_2 - A_1))^{-1}b)
</math>

with the fluid velocity <math>p(=v)</math> as single parameter.
Here <math>E</math> is the heat capacitance matrix, <math>b</math> is the load vector which is derived from separating the spatial and temporal variables in <math>\dot{q}</math> and the [[wikipedia:Finite_Element_Method|FEM]] discretization w.r.t. the spatial variables.
<math>A_i</math> are the stiffness matrices with <math>i=1</math> for pure diffusion and <math>i=2</math> for diffusion and convection.
Thus, for obtaining pure convection you have to compute <math>A_2 - A_1</math>.

Example with three parameters:

Here, all fluid properties are identified as parameters. Thus, we consider the following transfer function

:<math>
G(p_0, p_1,p_2) = C((s \underbrace{(E_s + p_0 E_f)}_{E(p_0)} - \underbrace{( A_{d,s} + p_1 A_{d,f} + p_2 A_c )}_{A(p_1,p_2)} )^{-1}b)
</math>

with parameters <math>p_0, \, p_1, \, p_2</math> which are combinations of the original fluid parameters <math>\rho, \, c, \, \kappa, \, v: \quad p_0 = \rho c, \, p_1=\kappa,</math> and <math>p_2 =\rho c v,</math> see <ref name="baur11" group="c)"/>. So far, we have considered the mass density as fixed, i.e. <math>\rho=1</math>.

==Origin==

* [http://www.imtek.uni-freiburg.de/professuren/simulation/ IMTEK Freiburg, Simulation group], Prof Dr Jan G. Korvink has taken on a position as Director of the Institute of Microstructure Technology (IMT) at the Karlsruhe Institute of Technology (KIT).

==Data==

Matrices are in the [http://math.nist.gov/MatrixMarket/ Matrix Market] format.
All matrices (for the one parameter system and for the three parameter case) can be found and uploaded in [[Media:Anemometer.tar.gz|Anemometer.tar.gz]].
The matrix name is used as an extension of the matrix file.
The system matrices have been extracted from ANSYS models by means of [http://simulation.uni-freiburg.de/downloads/mor4fem mor4fem].
For more information about computing the system matrices, the choice of the output, applying the permutation, please look into the [[media:Readme2.pdf|readme file]]. [[File: Readme2.pdf|thumb]]

Example with one parameter:

* <tt>.B</tt>: load vector
* <tt>.E</tt>: heat capacitance matrix
* <tt>.P</tt>: permutation matrix
* <tt>.A</tt>: stiffness matrices (2)

Example with three parameters:

* <tt>.B</tt>: load vector
* <tt>.E</tt>: heat capacitance matrices (2)
* <tt>.A</tt>: stiffness matrices (5)

To test the quality of the reduced order systems, harmonic simulations as well as transient step responses could be computed, see <ref name="baur11" group="c)"/>.

The output matrix <math>C \in \mathbb{R}^{1 \times 29008}</math> is a vector with non-zero elements <math>C_{173} = 1</math> and <math>C_{133} = -1</math>.

==Dimensions==

System structure (1 parameter):

:<math>
\begin{array}{rcl}
E\dot{x}(t) &=& (A_1 + p (A_2 - A_1))x(t) + b \\
y(t) &=& Cx(t)
\end{array}
</math>

System dimensions:

<math>E \in \mathbb{R}^{29008 \times 29008}</math>,
<math>A_1 \in \mathbb{R}^{29008 \times 29008}</math>,
<math>A_2 \in \mathbb{R}^{29008 \times 29008}</math>,
<math>b \in \mathbb{R}^{29008 \times 1}</math>,
<math>C \in \mathbb{R}^{1 \times 29008}</math>.

System structure (3 parameter):

:<math>
\begin{array}{rcl}
(E_1 + p_0 (E_2 - E_1))\dot{x}(t) &=& (A_1 + p_1 (A_3 - A_1 + A_4 - A_5) + p_2 (A_2 - A_1))x(t) + b \\
y(t) &=& Cx(t)
\end{array}
</math>

System dimensions:

<math>E_1 \in \mathbb{R}^{29008 \times 29008}</math>,
<math>E_2 \in \mathbb{R}^{29008 \times 29008}</math>,
<math>A_1 \in \mathbb{R}^{29008 \times 29008}</math>,
<math>A_2 \in \mathbb{R}^{29008 \times 29008}</math>,
<math>A_3 \in \mathbb{R}^{29008 \times 29008}</math>,
<math>A_4 \in \mathbb{R}^{29008 \times 29008}</math>,
<math>A_5 \in \mathbb{R}^{29008 \times 29008}</math>,
<math>b \in \mathbb{R}^{29008 \times 1}</math>,
<math>C \in \mathbb{R}^{1 \times 29008}</math>.

==Citation==

To cite this benchmark, use the following references:

* For the benchmark itself and its data:
::The MORwiki Community, '''Anemometer'''. MORwiki - Model Order Reduction Wiki, 2018. http://modelreduction.org/index.php/Anemometer

@MISC{morwiki_anemom,
author = <nowiki>{{The MORwiki Community}}</nowiki>,
title = {Anemometer},
howpublished = {{MORwiki} -- Model Order Reduction Wiki},
url = <nowiki>{http://modelreduction.org/index.php/Anemometer}</nowiki>,
year = {2018}
}

* For the background on the benchmark:

==References==

a) About the '''Anemometer'''

<references group="a)">

<ref name="ernst01" group="a)">H. Ernst, "[http://www.freidok.uni-freiburg.de/volltexte/201/ High-Resolution Thermal Measurements in Fluids]," PhD thesis, University of Freiburg, Germany (2001).</ref>

<ref name="benner05" group="a)">P. Benner, V. Mehrmann and D. Sorensen, "[http://dx.doi.org/10.1007/3-540-27909-1 Dimension Reduction of Large-Scale Systems]", Lecture Notes in Computational Science and Engineering, Springer-Verlag, Berlin/Heidelberg, Germany, 45, 2005.</ref>

<ref name="moosmann05" group="a)">C. Moosmann and A. Greiner, "[http://dx.doi.org/10.1007/3-540-27909-1_16 Convective Thermal Flow Problems]", Chapter 16 (pages 341--343) of 2.</ref>

</references>

b) MOR for non-parametrized '''Anemometer'''

<references group="b)">

<ref name="moosmann04" group="b)">C. Moosmann, E. B. Rudnyi, A. Greiner and J. G. Korvink, "[http://modelreduction.com/doc/papers/moosmann04THERMINIC.pdf Model Order Reduction for Linear Convective Thermal Flow]",
Proceedings of 10th International Workshops on THERMal INvestigations of ICs and Systems, THERMINIC2004, 29 Sept - 1 Oct, 2004, Sophia Antipolis, France.</ref>

</references>

c) MOR for parametrized '''Anemometer'''

<references group="c)">

<ref name="baur11" group="c)">U. Baur, P. Benner, A. Greiner, J. G. Korvink, J. Lienemann and C. Moosmann, "[http://dx.doi.org/10.1080/13873954.2011.547658 Parameter preserving model order reduction for MEMS applications]", MCMDS Mathematical and Computer Modeling of Dynamical Systems, 17(4):297--317, 2011.</ref>

<ref name="moosmann07" group="c)">C. Moosmann, "[http://www.freidok.uni-freiburg.de/volltexte/3971/ ParaMOR - Model Order Reduction for parameterized MEMS applications]", PhD thesis, University of Freiburg, Germany (2007).</ref>

<ref name="moosmann05b" group="c)">C. Moosmann, E. B. Rudnyi, A. Greiner, J. G. Korvink and M. Hornung, "[http://modelreduction.com/doc/papers/moosmann05MSM.pdf Parameter Preserving Model Order Reduction of a Flow Meter]", Technical Proceedings of the 2005 Nanotechnology
Conference and Trade Show, Nanotech 2005, May 8-12, 2005, Anaheim, California, USA, NSTINanotech
2005, vol. 3, p. 684-687.</ref>

<ref name="rudnyi06" group="c)">E. B. Rudnyi, C. Moosmann, A. Greiner, T. Bechtold, J. G. Korvink, "[http://modelreduction.com/doc/papers/rudnyi06mathmod.pdf Parameter Preserving Model Reduction for MEMS System-level Simulation and Design]", Proceedings of MATHMOD 2006, February 8 -
10, 2006, Vienna University of Technology, Austria.</ref>

</references>

==Contact==

[[User:Himpe]]

Modal truncation

2022-08-25T12:57:16Z

Himpe:

[[Category:method]]
[[Category:linear]]
[[Category:Differential_algebraic_system]]
[[Category:time invariant]]
[[Category:first differential order]]
[[Category:second differential order]]
[[Category:linear algebra]]

==Description==
Model truncation<ref name="Dav66"/> is one of the oldest MOR methods for linear time invariant systems

:<equation id="gensys" shownumber>
<math>
E\dot{x}(t)=A x(t)+B u(t), \quad
y(t)=Cx(t)+Du(t),\quad E,A\in\mathbb{R}^{n\times n},~B\in\mathbb{R}^{n\times m},~C\in\mathbb{R}^{p\times n},~D\in\mathbb{R}^{p\times m}.\qquad (1)
</math>
</equation>

The main idea is to construct the [[Projection_based_MOR|projection matrices]] as <math>V=[x_1,\ldots,x_r], W=[y_1,\ldots,y_r]</math> where the <math>x_i, y_i</math> are right and left eigenvectors corresponding to
certain eigenvalues <math>\lambda_i\in\Lambda(A,E)</math>. The eigentriples <math>(\lambda_i,x_i,y_i)</math> satisfy.

:<math>
Ax_i=\lambda_iEx_i,\quad A^Hy_i=\overline{\lambda_i}E^Hy_i,\quad i=1,\ldots,r.
</math>

They are different ways to select this typically small subset of eigenvalues. An often used criterion is to take the eigenvalue closest to the imaginary axis, i.e. the ones with the smallest real part, and their associated eigenvectors into account. Dominant pole based modal truncation selects <math>(\lambda_i,x_i,y_i)</math> with respect to their contribution in the transfer function and is described below.

One advantage of such eigenvalue based MOR methods is that they can be easily adapted to more general time invariant systems, for instance, systems in second order form

:<math>
M\ddot{x}(t)+D\dot{x}(t)+K x(t)=B u(t), \quad
y(t)=C_px(t)+C_v\dot x(t)+Du(t)
</math>

which occur frequently in vibration analysis for mechanical systems. There, <math>M,D,K</math> being referred to as Mass, Damping, and Stiffness matrix are represent a finite element discretization of the mechanical system. In fact, a large variety of modal truncation type approaches originated in this application<ref name="KouB08"/>, e.g., Condensation (Guyan reduction)<ref name="Guy65"/> and Component Mode Synthesis (Craig-Bampton)<ref name="CraB68"/>.
Modal truncation methods can also be generalized to handle linear, time-invariant system with higher time derivatives and even with time-delays, e.g.

:<math>
E\dot{x}(t)=A x(t)+Fx(t-\tau)+B u(t), \quad
y(t)=Cx(t)+Du(t),
</math>

where <math>\tau\geq0</math> is the time-delay.

Other advantages are that modal truncation can in principle applied to DAEs of arbitrary index and to unstable systems. They do, however, preserve stability since they do not change the eigenvalues of the original system.
They rely on eigenvalue algorithms to compute the required eigentriplets. There are several algorithms available for this purpose for large and sparse matrices.

Disadvantages are the lack of a computationally feasible error bound and the often observed lower approximation accuracy compared to other MOR methods.

== Dominant pole based modal truncation ==

<figure id="bode1">
[[File:Transferf.jpg|350px|thumb|right|<caption>3D Bode plot of transfer function.</caption>]]
</figure>
<figure id="bode2">
[[File:Bode_newengland.jpg|350px|thumb|right|<caption>2D Bode plot of transfer function.</caption>]]
</figure>

This modal truncation variant aims at the identification of eigentriplets <math>(\lambda_i,x_i,y_i)</math> which have a strong contribution to the input-output behavior of the dynamical. For this purpose, let all eigenvalues be semisimple and consider the residue expansion of the transfer function matrix (exemplary of (1))

:<equation id="residue" shownumber>
<math>H(s)=C(sE-A)^{-1}B+D=\sum\limits_{j=1}^{n_f}\frac{(Cx_j)(y_j^HB)}{s-\lambda_j}+D+R_{\infty},\qquad(2)</math>
</equation>

where <math>n_f</math> is the number of finite eigenvalue of <math>(A,E)</math> and <math>R_{\infty}</math> is the residue corresponding to the infinite eigenvalues. For simplicity we assume <math>R_{\infty}=0</math>. The quantities <math>R_j:=(Cx_j)(y_j^HB)</math> in the numerator of the above series are the residues w.r.t. <math>\lambda_i</math>. Each finite eigenvalue <math>\lambda_i</math> is pole of <math>H(s)</math> and is called dominant pole if its scaled residue norm
<math>
\frac{\|R_j\|}{|\real{\lambda_j}|}
</math>
is larger than the ones of the other eigentriples which corresponds in some sense to the largest summand in the residue expansion of <math>H(s)</math>. Dominant poles can be observed in the Bode, or sigma plot. Fig. 1 and Fig. 2 illustrates this phenomenon for the [[Power_system_examples|New England]] test system.

The upper figure shows a three dimensional surface plot of <math>H(s)</math> in a region in the left half plane. The poles of <math>H(s)</math> (eigenvalues of
<math>(A,E)</math>) are marked as black dots in the <math>\real(s)-\Im(s)</math>-plane. Observe that the function values grow in the limit
towards infinity as <math>s</math> reaches an eigenvalue <math>\lambda\in\Lambda(A,E)</math>. However, the poles marked as
thick blue dots elevate the function values in a stronger way and are the one with the largest scaled residues, i.e., the dominant poles. The cutsection of this plot along the <math>\Im(s)</math> axis gives the Bode plot and is shown in the bottom figure where peaks occur near the imaginary parts of the dominant poles which are marked by the blue dots.

Dominant pole based model truncation then amounts to compute the, say <math>r\ll n_f</math>, most dominant poles (i.e., the dominant eigentriplets) and
take the associated right and left eigenvectors as columns of the truncation matrices <math>V, W</math>. Equivalently, the reduced order model is obtained by truncating the residue expansion (2):

:<math>H(s)\approx\tilde{H}(s)=\sum\limits_{j=1}^{r}\frac{(Cx_j)(y_j^HB)}{s-\lambda_j}+D</math>.

Note that <math>\tilde{H}(s)</math> constructed in that way is often called modal equivalent of <math>H(s)</math>.
A specially tailored eigenvalue algorithm to compute the sought dominant eigentriplets for this task is the [[DPA|(Subspace Accelerated) Dominant Pole Algorithm]]
<ref name="MarLP96"/><ref name="RomM06a"/><ref name="RomM06b"/><ref name="Rom07"/><ref name="RomS08"/><ref name="Kue10"/>.

A MATLAB implementation of this algorithms and certain variants thereof can be found at [https://sites.google.com/site/rommes/software https://sites.google.com/site/rommes/software].

==References==
<references>
<ref name="Dav66">E. J. Davison, "[http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=1098264 A method for simplifying linear dynamic systems]"
, IEEE Transaction on Automated Control, vol. 11, no. 1, 93–101, 1966</ref>

<ref name="KouB08">P. Koutsovasilis and M. Beitelschmidt, "[http://link.springer.com/article/10.1007%2Fs11044-008-9116-4# Comparison of Model Reduction Techniques for Large Mechanical Systems]", Multibody
System Dynamics, vol.20, no.2, pp.111-128, 2008</ref>

<ref name="Guy65">R.J. Guyan, "[http://arc.aiaa.org/doi/pdf/10.2514/3.2874 Reduction of Stiffness and Mass Matrices]", AIAA Journal, vol.3, no.2, pp.380, 1965</ref>

<ref name="CraB68">R. Craig and M. Bampton, "[http://arc.aiaa.org/doi/pdf/10.2514/3.4741 Coupling of Substructures for Dynamic Analyses]", AIAA Journal, vol.6, no.7, pp.1313-1319, 1968</ref>

<ref name="MarLP96">N. Martins, L. Lima, and H. Pinto, "[http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=486093 Computing dominant poles of power system transfer functions]", IEEE Transactions on
Power Systems, vol.11, no.1, pp.162-170, 1996</ref>

<ref name="RomM06a">J. Rommes and N. Martins, "[http://ieeexplore.ieee.org/xpl/freeabs_all.jsp?isnumber=34850&arnumber=1664957&count=60&index=22 Efficient computation of transfer function dominant poles using subspace acceleration]", IEEE Transactions on
Power Systems, vol.21, no.3, pp.1218-1226, 2006</ref>

<ref name="RomM06b">J. Rommes and N. Martins, "[http://ieeexplore.ieee.org/xpl/freeabs_all.jsp?isnumber=36135&arnumber=1717547&count=61&index=0 Efficient computation of multivariable transfer function dominant poles using subspace acceleration]", IEEE Transactions on
Power Systems, vol.21, no.4, pp.1471-1483, 2006</ref>

<ref name="Rom07">J. Rommes, "[http://igitur-archive.library.uu.nl/dissertations/2007-0626-202553/index.htm Methods for eigenvalue problems with applications in model order reduction]", Ph.D. dissertation, Universiteit
Utrecht, 2007.</ref>

<ref name="RomS08">J. Rommes and G. L. G. Sleijpen, "[http://epubs.siam.org/doi/abs/10.1137/060671401 Convergence of the dominant pole algorithm and Rayleigh quotient iteration]", SIAM
Journal on Matrix Analysis and Applications, vol. 30, no. 1,
pp. 346–363, 2008.</ref>

<ref name="Kue10">P. Kürschner, "[http://www.mpi-magdeburg.mpg.de/mpcsc/mitarbeiter/kuerschner/docs/masterthesis.pdf Two-sided eigenvalue methods for modal approximation]", Master’s thesis, Chemnitz University of Technology,
Department of Mathematics, Germany, 2010.</ref>
</references>

Krylov subspace MOR methods

2022-08-25T12:57:04Z

Himpe:

[[Category:method]]
[[Category:Differential_algebraic_system]]
[[Category:linear]]
[[Category:linear algebra]]

The Krylov subspace MOR methods may refer to the [[moment-matching method]] for non-parametric systems or the [[moment-matching PMOR method]] for parametric systems.

Transmission Lines (SLICOT)

2022-08-25T12:56:37Z

Himpe:

{{preliminary}} 

[[Category:benchmark]]
[[Category:SLICOT]]
[[Category:MIMO]]
[[Category:Dense]]
[[Category:Differential_algebraic_system]]

'''This is a stub. Please expand.'''

==Description: Model of a Transmission Line Model==

This benchmark models impedence of interconnected structures of a [[wikipedia:Transmission_line|transmission line]].
More details can be found in <ref name="li99"/>, <ref name="marques98"/> and <ref name="chahlaoui02"/>.

For a larger transmission lines model see the alternative [[Transmission_Lines]] benchmark.

==Origin==

This benchmark is part of the '''SLICOT Benchmark Examples for Model Reduction'''<ref name="chahlaoui05"/>.

==Data==

The system matrices <math>A</math>, <math>B</math>, <math>C</math>, <math>E</math> are available from the [http://slicot.org/20-site/126-benchmark-examples-for-model-reduction SLICOT benchmarks] page: [http://slicot.org/objects/software/shared/bench-data/tline.zip tline.zip] and are stored as MATLAB [https://www.mathworks.com/help/matlab/import_export/mat-file-versions.html .mat] file.

==Dimensions==

System structure:

:<math>
\begin{array}{rcl}
E\dot{x}(t) &=& Ax(t) + Bu(t) \\
y(t) &=& Cx(t)
\end{array}
</math>

System dimensions:

<math>A \in \mathbb{R}^{256 \times 256}</math>,
<math>B \in \mathbb{R}^{256 \times 2}</math>,
<math>C \in \mathbb{R}^{2 \times 256}</math>,
<math>E \in \mathbb{R}^{256 \times 256}</math>

==Citation==

To cite this benchmark, use the following references:

* For the benchmark itself and its data:
::Niconet e.V., '''SLICOT - Subroutine Library in Systems and Control Theory''', http://www.slicot.org

@MANUAL{slicot_tline,
title = {{SLICOT} - Subroutine Library in Systems and Control Theory},
organization = {Niconet e.V.}
address = <nowiki>{\url{http://www.slicot.org}}</nowiki>,
key = {SLICOT}
}

* For the background on the benchmark:

@INPROCEEDINGS{MarKWetal98,
author = <nowiki>{N. Marques and M. Kamon and J. White and L.M. Silveira}</nowiki>,
title = {A mixed nodal-mesh formulation for efficient extraction and passive reduced-order modeling of 3D interconnects},
booktitle = {Proceedings of the 1998 Design and Automation Conference},
pages = {297--302},
year = {1998},
doi = {110.1145/277044.277132}
}

==References==

<references>

<ref name="li99"> J.R. Li, J. White. [https://doi.org/10.1109/ICCAD.1999.810679 Efficient model reduction of interconnect via approximate system gramians]. 1999 IEEE/ACM International Conference on Computer-Aided Design: 380--383, 1999.</ref>

<ref name="marques98"> N. Marques, M. Kamon, J. White, L.M. Silveira. [https://doi.org/10.1145/277044.277132 A mixed nodal-mesh formulation for efficient extraction and passive reduced-order modeling of 3D interconnects]. Proceedings of the 1998 Design and Automation Conference: 297--302, 1998.</ref>

<ref name="chahlaoui02"> Y. Chahlaoui, P. Van Dooren, [http://eprints.maths.manchester.ac.uk/1040/1/ChahlaouiV02a.pdf A collection of Benchmark examples for model reduction of linear time invariant dynamical systems], Working Note 2002-2: 2002.</ref>

<ref name="chahlaoui05"> Y. Chahlaoui, P. Van Dooren, [https://doi.org/10.1007/3-540-27909-1_24 Benchmark Examples for Model Reduction of Linear Time-Invariant Dynamical Systems], Dimension Reduction of Large-Scale Systems, Lecture Notes in Computational Science and Engineering, vol 45: 379--392, 2005.</ref>

</references>

Supersonic Engine Inlet

2022-08-25T12:56:27Z

Himpe:

[[Category:benchmark]]
[[Category:Oberwolfach]]
[[Category:Differential_algebraic_system]]
[[Category:linear]]
[[Category:time invariant]]
[[Category:first differential order]]
[[Category:MIMO]]
[[Category:Sparse]]

==Description: Active Control of a Supersonic Engine Inlet==

<figure id="fig1">[[File:Supersonic_Inlet1.png|750px|thumb|right|<caption>Steady-state Mach contours inside diffuser. Freestream Mach number
is 2.2.</caption>]]</figure>

This example considers unsteady flow through a [[wikipedia:Diffuser_(thermodynamics)#Supersonic_Diffusers|supersonic diffuser]] as shown in Fig. 1.
The diffuser operates at a nominal [[wikipedia:Mach_number|Mach number]] of <math>2.2</math>, however it is subject to perturbations in the incoming flow, which may be due (for
example) to atmospheric variations.
In nominal operation, there is a strong shock downstream of the diffuser throat, as can be seen from the Mach contours
plotted in Figure Fig. 1.
Incoming disturbances can cause the shock to move forward towards the throat. When the shock sits at the throat, the inlet
is unstable, since any disturbance that moves the shock slightly upstream will cause it to move forward rapidly, leading to unstart of the inlet. This is extremely undesirable, since unstart results in a large loss of thrust.
In order to prevent unstart from occurring, one option is to actively control the position of the shock.
This control may be effected through flow bleeding upstream of the diffuser throat.

A complete description of the benchmark and some model reduction results can be downloaded as PDF file [https://www.mpi-magdeburg.mpg.de/mpcsc/MORWIKI/Oberwolfach/SupersonicEngineInlet.pdf here].

===Active Flow Control Setup===

<figure id="fig2">[[File:Supersonic_Inlet2.png|600px|thumb|right|<caption>Supersonic diffuser active flow control problem setup.</caption>]]</figure>

Fig. 2 presents the schematic of the actuation mechanism.
Incoming flow with possible disturbances enters the inlet and is sensed using pressure sensors.
The controller then adjusts the bleed upstream of the throat in order to control the position of the shock and to prevent it from moving upstream.
In simulations, it is difficult to automatically determine the shock location.
The average Mach number at the diffuser throat provides an appropriate surrogate that can be easily computed.
There are several transfer functions of interest in this problem.
The shock position will be controlled by monitoring the average Mach number at the diffuser throat.
The reduced-order model must capture the dynamics of this output in response to two inputs: the incoming flow disturbance and the bleed actuation.
In addition, total pressure measurements at the diffuser wall are used for sensing.

===CFD Formulation===

The unsteady, two-dimensional flow of an inviscid, compressible fluid is governed by the Euler equations.
The usual statements of mass, momentum, and energy can be written in integral form as

:<math>
\begin{align}
\frac{\partial}{\partial t}\iint\rho\mathrm{d}V + \oint\rho Q\cdot\mathrm{dA} & = 0,\\
\frac{\partial}{\partial t}\iint\rho Q\mathrm{d}V + \oint\rho Q (Q\cdot\mathrm{dA}) + \oint p \mathrm{dA} & = 0,\\
\frac{\partial}{\partial t}\iint\rho E\mathrm{d}V + \oint\rho H (Q\cdot\mathrm{dA}) + \oint p Q\cdot\mathrm{dA} & = 0,
\end{align}
</math>

where <math>\rho</math>, <math>Q</math>, <math>H</math>, <math>E</math>, and <math>p</math> denote density, flow velocity, total enthalpy, energy, and pressure, respectively.
The CFD formulation for this problem uses a finite volume method and is described fully in <ref name="lassaux2002"/> and <ref name="willcox2005"/>.
The unknown flow quantities used are the density, streamwise velocity component, normal velocity component, and enthalpy at each point in the computational grid.
Note that the local flow velocity components <math>q</math> and <math>q^{\perp}</math> are defined using a streamline computational grid that is computed for the steady-state solution.
<math>q</math> is the projection of the flow velocity on the meanline direction of the grid cell, and <math>q^{\perp}</math> is the normal-to-meanline component.
To simplify the implementation of the integral energy equation, total enthalpy is also used in place of energy.
The vector of unknowns at each node <math>i</math> is therefore

:<math>
x_{i} = \begin{bmatrix} \rho_{i}, & q_{i}, & q^{\perp}_{i}, & H_{i} \end{bmatrix}^{T}.
</math>

Two physically different kinds of boundary conditions exist: inflow/outflow conditions, and conditions applied at a solid wall.
At a solid wall, the usual no-slip condition of zero normal flow velocity is easily applied as <math>q^{\perp} = 0</math>.
In addition, we will allow for mass addition or removal (bleed) at various positions along the wall.
The bleed condition is also easily specified.
We set

:<math>
q^{\perp} = \frac{\dot{m}}{\rho},
</math>

where <math>\dot{m}</math> is the specified mass flux per unit length along the bleed slot.
At inflow boundaries, Riemann boundary conditions are used.
For the diffuser problem considered here, all inflow boundaries are supersonic, and hence we impose inlet vorticity, entropy and Riemann’s invariants.
At the exit of the duct, we impose outlet pressure.

===Linearized CFD Matrices===

The two-dimensional integral Euler equations are linearized about the steady-state solution to obtain an unsteady system of the form

:<math>
\begin{align}
E\dot{x}(t) & = Ax(t) + Bu(t),\\
y(t) & = Cx(t).
\end{align}
</math>

The descriptor matrix <math>E</math> arises from the particular CFD formulation.
In addition, the matrix <math>E</math> contains some zero rows that are due to implementation of boundary conditions.

==Origin==

This benchmark is part of the '''Oberwolfach Benchmark Collection'''<ref name="korvink2005"/>; No. 38866, see also <ref name="willcox2005"/>.

==Data==

The matrices of this benchmark can be downloaded in the [http://math.nist.gov/MatrixMarket/ Matrix Market] format:
* [http://csc.mpi-magdeburg.mpg.de/mpcsc/MORWIKI/Oberwolfach/SupersonicEngineInlet-dim1e4-Inlet.tar.gz SupersonicEngineInlet-dim1e4-Inlet.tar.gz].
The size of the file is 5.4 MB.
The matrix name is used as an extension of the matrix file.

==Dimensions==

System structure:

:<math>
\begin{align}
E \dot{x}(t) & = Ax(t) + Bu(t),\\
y(t) &= Cx(t)
\end{align}
</math>

System dimensions:

<math>E \in \mathbb{R}^{11730 \times 11730}</math>,
<math>A \in \mathbb{R}^{11730 \times 11730}</math>,
<math>B \in \mathbb{R}^{11730 \times 2}</math>,
<math>C \in \mathbb{R}^{1 \times 11730}</math>

==Citation==

To cite this benchmark, use the following references:

* For the benchmark itself and its data:
:: Oberwolfach Benchmark Collection, '''Supersonic Engine Inlet'''. hosted at MORwiki - Model Order Reduction Wiki, 2005. http://modelreduction.org/index.php/Supersonic_Engine_Inlet

@MISC{morwiki_supsonengine,
author = <nowiki>{{Oberwolfach Benchmark Collection}}</nowiki>,
title = {Supersonic Engine Inlet},
howpublished = {hosted at {MORwiki} -- Model Order Reduction Wiki},
url = <nowiki>{http://modelreduction.org/index.php/Supersonic_Engine_Inlet}</nowiki>,
year = 2005
}

* For the background on the benchmark:

@MASTERSTHESIS{morLas13,
author = {G. Lassaux},
year = 2002,
title = {High-Fidelity Reduced-Order Aerodynamic Models: Application to
Active Control of Engine Inlets},
school = {Massachusetts Institute of Technology},
address = {Cambridge, USA},
url = <nowiki>{http://web.mit.edu/kwillcox/Public/Web/LassauxMS.pdf}</nowiki>
}

==References==

<references>

<ref name="korvink2005"> J.G. Korvink, E.B. Rudnyi, [https://doi.org/10.1007/3-540-27909-1_11 Oberwolfach Benchmark Collection], Dimension Reduction of Large-Scale Systems, Lecture Notes in Computational Science and Engineering, vol 45: 311--315, 2005.</ref>

<ref name="lassaux2002">G. Lassaux. [http://hdl.handle.net/1721.1/82238 High-Fidelity Reduced-Order Aerodynamic Models: Application to Active Control of Engine Inlets]. Master’s thesis, Dept. of Aeronautics and Astronautics, MIT, June 2002.</ref>

<ref name="willcox2005">K. Willcox , G. Lassaux, [https://doi.org/10.1007/3-540-27909-1_20 Model Reduction of an Actively Controlled Supersonic Diffuser]. In: Dimension Reduction of Large-Scale Systems, Lecture Notes in Computational Science and Engineering, vol 45: 357--361, 2005.</ref>

</references>

RCL Circuit Equations

2022-08-25T12:56:18Z

Himpe:

{{preliminary}} 
[[Category:benchmark]]
[[Category:Oberwolfach]]
[[Category:SISO]]
[[Category:Differential_algebraic_system]]

==Description==
These benchmark originate from [[wikipedia:Very_Large_Scale_Integration|VLSI]] circuits.
Specifically [[wikipedia:RLC_circuit|resistor-capacitor-inductor]] circuits, which can be represented by first order descriptor systems,
following a modeling process based on the two [[wikipedia:Kirchhoff's_circuit_laws|Kirchhoff's circuit laws]] and the [[wikipedia:Modified_nodal_analysis| branch constitutive relations]].

===PEEC Problem===
This RCL circuit is a [[wikipedia:Partial_element_equivalent_circuit|PEEC]] discretization<ref name="ruehli1974"/> and has 2100 capacitors, 172 inductors, 6990 inductive couplings, as well as a resistive source<ref name="feldmann1995"/>,<ref name="freund2005"/>.
The resulting model has 306 states, and two inputs and outputs.

===Package Problem===
The second problem models a 64-pin package of an [[wikipedia:RF_circuit|RF]] circuit.
A subset of eight pins carry signals, which leads to sixteen terminals (eight interior and eight exterior)<ref name="bai1997"/>,<ref name="freund2005"/>.
The resulting model has 1841 states, and sixteen inputs and outputs.

==Origin==

This benchmark is part of the '''Oberwolfach Benchmark Collection'''<ref name="korvink2005"/>; see <ref name="freund2005"/>.

==Data==

The PEEC problem and package problem are available as MATLAB [https://www.mathworks.com/help/matlab/import_export/mat-file-versions.html .mat] files, providing the <math>A</math>, <math>B</math>, <math>E</math> matrices,
while <math>C = B^\intercal</math> is assumed:

* [[Media:PEEC.zip|PEEC.zip]] (32.8KB)
* [[Media:Package.zip|Package.zip]] (78.7KB)

==Dimensions==

System structure:

:<math>
\begin{align}
E \dot{x}(t) &= Ax(t) + Bu(t) \\
y(t) &= Cx(t)
\end{align}
</math>

System dimensions:

<math>E \in \mathbb{R}^{N \times N}</math>,
<math>A \in \mathbb{R}^{N \times N}</math>,
<math>B \in \mathbb{R}^{N \times M}</math>,
<math>C \in \mathbb{R}^{M \times N}</math>.

System variants:

<math>N = 306</math>, <math>M = 2</math>, for the PEEC problem, and <math>N = 1841</math>, <math>M = 16</math> for the package problem.

==Citation==

To cite this benchmark, use the following references:

* For the benchmark itself and its data:
::The MORwiki Community, '''RCL Circuit Equations'''. MORwiki - Model Order Reduction Wiki, 2019. http://modelreduction.org/index.php/RCL_Circuit_Equations

@MISC{morwiki_convection,
author = <nowiki>{{The MORwiki Community}}</nowiki>,
title = {RCL Circuit Equations},
howpublished = {{MORwiki} -- Model Order Reduction Wiki},
url = <nowiki>{http://modelreduction.org/index.php/RCL_Circuit_Equations}</nowiki>,
year = {20XX}
}

* For the background on the benchmark:

@INCOLLECTION{morFre05,
author = <nowiki>{R.W. Freund}</nowiki>,
title = {RCL Circuit Equations},
booktitle = {Dimension Reduction of Large-Scale Systems},
pages = {367--371),
year = {2005},
doi = {10.1007/3-540-27909-1_22}
}

==References==

<references>

<ref name="ruehli1974">A.E. Ruehli, [https://doi.org/10.1109/TMTT.1974.1128204 Equivalent Circuit Models for Three-Dimensional Multiconductor Systems], IEEE Transactions on Microwave Theory and Techniques 22(1): 216--221, 1974.</ref>

<ref name="feldmann1995"> P. Feldmann, R.W. Freund , [https://doi.org/10.1109/43.384428 Efficient linear circuit analysis by Pade approximation via the Lanczos process], IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems 14(5): 639--649, 1995.</ref>

<ref name="bai1997">Z. Bai, P. Feldmann, R.W. Freund, [http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.34.7763&rep=rep1&type=pdf Equivalent Stable and Passive Reduced-Order Models Based on Partial Pade Approximation Via the Lanczos Process], Numerical Analysis Manuscript 97(3): 1--17, 1997.</ref>

<ref name="korvink2005"> J.G. Korvink, E.B. Rudnyi, [https://doi.org/10.1007/3-540-27909-1_11 Oberwolfach Benchmark Collection], Dimension Reduction of Large-Scale Systems, Lecture Notes in Computational Science and Engineering, vol 45: 311--315, 2005.</ref>

<ref name="freund2005"> R.W. Freund, [https://doi.org/10.1007/3-540-27909-1_22 RCL Circuit Equations], Dimension Reduction of Large-Scale Systems, Lecture Notes in Computational Science and Engineering, vol 45: 367--371, 2005.</ref>

</references>

Padé approximation methods

2022-08-25T12:56:08Z

Himpe:

[[Category:method]]
[[Category:Differential_algebraic_system]]
[[Category:linear]]
[[Category:first differential order]]
[[Category:linear algebra]]

This kind of methods are also called the [[Krylov subspace MOR methods]] or the [[moment-matching method]]s.

Moment-matching method

2022-08-25T12:55:54Z

Himpe:

[[Category:method]]
[[Category:Differential_algebraic_system]]
[[Category:linear]]
[[Category:first differential order]]
[[Category:linear algebra]]

==Description==
The moment-matching methods are also called the ''Krylov'' subspace methods<ref name="freund03"/>, as well as
''Padé'' approximation methods<ref name="feldmann95"/>. They belong to the [[Projection based MOR]] methods. These methods are applicable to non-parametric linear time invariant systems, often descriptor systems, e.g.

:<math>E \dot{x}(t)=A x(t)+B u(t),</math>
:<math>y(t)=Cx(t).</math>

They are very efficient in many engineering applications, such as circuit simulation, Microelectromechanical systems (MEMS) simulation, etc..

The basic steps are as follows. First, the transfer function

:<math>H(s)=Y(s)/U(s)=C(sE-A)^{-1}B</math>

is expanded into a power series at an expansion point <math>s_0\in\mathbb{C}\cup \infty</math>.

Let <math>s=s_0+\sigma</math>, then, within the convergence radius of the series, we have

:<math>H(s_0 + \sigma)= C[(s_{0}+\sigma){E}-A]^{-1}B</math>

::<math>=C[\sigma { E}+(s_{0}{ E}-{ A})]^{-1}B</math>

::<math>=C[{ I}+\sigma(s_0{ E}-{ A})^{-1}E]^{-1}(s_0{ E}-{ A})^{-1}B</math>

::<math>=C[{ I}-\sigma(s_0{ E}- A )^{-1}E+\sigma^2[(s_0{ E}-{ A})^{-1}E]^{2}+\ldots]
(s_0{E}-{ A})^{-1}B</math>

::<math>=\sum \limits^\infty_{i=0}\underbrace{C[-(s_0{ E}-{A})^{-1}E]^i(s_0{ E}-{ A})^{-1}B}_{:= m_i(s_0)} \, \sigma^i,</math>

where <math>m_i(s_0)</math> are called the moments of the transfer function about <math>s_0</math> for <math>i=0,1,2,\ldots</math>.
If the expansion point is chosen as zero, then the moments simplify to <math>m_i(0)=C(A^{-1}E)^i(-A^{-1}B)</math>.

The goal in moment-matching model reduction is the construction of a reduced order
system where some moments <math>\hat m_i</math> of the associated transfer function <math>\hat H</math> match some moments
of the original transfer function <math>H</math>.

The matrices <math>V</math> and <math>W</math> for model order reduction can be computed
from the vectors which are associated with the moments, for
example, using a single expansion point <math>s_0=0</math>, by

:<math>\textrm{range}(V)=\textrm{span}\{\tilde B,({ A}^{-1}E)^2 \tilde B, \ldots,({ A}^{-1}E)^{r}{\tilde B}\}, \quad \quad \quad \quad \quad \quad \quad \quad\quad \quad \quad \ (1) </math>

:<math>\textrm{range}(W)=\textrm{span}\{C^T, E^T{ A}^{-T}C^T,(E^T{A}^{-T})^2C^T, \ldots
,(E^T{A}^{-T})^{r-1}C^T\}, \quad \quad (2) </math>

where <math>\tilde B=-A^{-1}B</math>.

The transfer function <math>\hat H</math> of the reduced model has good approximation properties around <math>s_0</math>, which matches the first <math>2r</math> moments of <math>H(s)</math> at <math>s_0</math>.

Using a set of <math>k</math> distinct expansion points <math>\{s_1,\cdots,s_k\}</math>, the reduced model obtained by, e.g.,

:<math>\textrm{range}(V)=\textrm{span}\{(A-s_1 {E})^{-1}E\tilde B,\ldots,(A-s_k {E})^{-1}E\tilde B \}, \quad \quad \quad \quad \quad \quad \quad \quad (3)</math>

:<math>\textrm{range}(W)=\textrm{span}\{E^T(A-s_1 {E})^{-T}C^T,\ldots,E^T(A-s_k {E})^{-T}C^T \},\quad \quad \quad \quad \quad (4) </math>

matches the first two moments at each <math>s_j</math>, <math>j=1,\ldots,k</math>, see <ref name="grimme97"/>. The reduced model is in the form as below

:<math>W^TE \frac{d{V z}}{t}=W^TA Vz +W^T B u(t), \quad \hat{y}(t)=CVz.</math>

For the case of one expansion point in (1)(2), it can be seen that the columns of <math>V</math>, <math>W</math> span Krylov subspaces
which can easily be computed by Arnoldi or Lanczos methods. The matrices <math>V</math> and <math>W</math> in (3)(4) can be computed with the rational Krylov algorithm in<ref name="grimme97"/> or with the modified Gram-Schmidt process. In these algorithms only a few number of linear systems need to be solved, where matrix-vector multiplications are only used if using iterative solvers, which are simple to implement and the complexity of the resulting
methods is roughly <math>O(n r^2)</math> for sparse matrices <math>A, E</math>.

==References==

<references>

<ref name="freund03">R.W. Freund, "[http://dx.doi.org/10.1017/S0962492902000120 Model reduction methods based on Krylov subspaces]". Acta Numerica, 12:267-319, 2003.</ref>

<ref name="feldmann95">P. Feldmann and R.W. Freund, "[http://dx.doi.org/10.1109/43.384428 Efficient linear circuit analysis by Pade approximation via the Lanczos process]". IEEE Trans. Comput.-Aided Des. Integr. Circuits Syst., 14:639-649, 1995.</ref>

<ref name="grimme97">E.J. Grimme, "[http://citeseerx.ist.psu.edu/viewdoc/download?doi=10.1.1.19.9254&rep=rep1&type=pdf Krylov projection methods for model reduction]. PhD thesis, Univ. Illinois, Urbana-Champaign, 1997.</ref>

</references>

Modified Nodal Analysis

2022-08-25T12:55:12Z

Himpe:

{{preliminary}} 

[[Category:benchmark]]
[[Category:SLICOT]]
[[Category:Sparse]]
[[Category:MIMO]]
[[Category:Differential_algebraic_system]]

'''This is a stub. Please expand.'''

==Description: Modified Nodal Analysis Model==

This set of benchmark uses models resulting from [[wikipedia:Modified_nodal_analysis|modified nodal analysis]].
More details can be found in <ref name="odabasioglu98"/> and <ref name="chahlaoui02"/>.

==Origin==

This benchmark is part of the '''SLICOT Benchmark Examples for Model Reduction'''<ref name="chahlaoui05"/>.

==Data==

The system matrices <math>A</math>, <math>B</math>, <math>C</math>, <math>E</math> are available from the [http://slicot.org/20-site/126-benchmark-examples-for-model-reduction SLICOT benchmarks] page:

{| class="wikitable" style="margin: auto;"
|+ style="caption-side:bottom;"|''Table 1: Benchmark files and dimensions.''
|-
!
!Inputs
!States
!Outputs
|-
|[http://slicot.org/objects/software/shared/bench-data/MNA_1.zip MNA_1.zip]
|<math>M = 9</math>
|<math>N = 578</math>
|<math>Q = 9</math>
|-
|[http://slicot.org/objects/software/shared/bench-data/MNA_2.zip MNA_2.zip]
|<math>M = 18</math>
|<math>N = 9223</math>
|<math>Q = 18</math>
|-
|[http://slicot.org/objects/software/shared/bench-data/MNA_3.zip MNA_3.zip]
|<math>M = 22</math>
|<math>N = 4863</math>
|<math>Q = 22</math>
|-
|[http://slicot.org/objects/software/shared/bench-data/MNA_4.zip MNA_4.zip]
|<math>M = 4</math>
|<math>N = 980</math>
|<math>Q = 4</math>
|-
|[http://slicot.org/objects/software/shared/bench-data/MNA_5.zip MNA_5.zip]
|<math>M = 9</math>
|<math>N = 10913</math>
|<math>Q = 9</math>
|}

and are stored as MATLAB [https://www.mathworks.com/help/matlab/import_export/mat-file-versions.html .mat] file.

==Dimensions==

System structure:

:<math>
\begin{array}{rcl}
E\dot{x}(t) &=& Ax(t) + Bu(t) \\
y(t) &=& Cx(t)
\end{array}
</math>

System dimensions:

<math>A \in \mathbb{R}^{N \times N}</math>,
<math>B \in \mathbb{R}^{N \times M}</math>,
<math>C \in \mathbb{R}^{Q \times N}</math>,
<math>E \in \mathbb{R}^{N \times N}</math>.

==Citation==

To cite this benchmark, use the following references:

* For the benchmark itself and its data:
::Niconet e.V., '''SLICOT - Subroutine Library in Systems and Control Theory''', http://www.slicot.org

@MANUAL{slicot_mna,
title = {{SLICOT} - Subroutine Library in Systems and Control Theory},
organization = {Niconet e.V.}
address = <nowiki>{\url{http://www.slicot.org}}</nowiki>,
key = {SLICOT}
}

* For the background on the benchmark:

@ARTICLE{morOda98,
author = <nowiki>{A. Odabasioglu and M. Celik and L.T. Pileggi}</nowiki>,
title = {{PRIMA}: Passive Reduced-order Interconnect Macromodeling Algorithm},
journal = {IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems},
volume = {17},
number = {8},
pages = {645--654},
year = {1998},
doi = {10.1109/43.712097}
}

==References==

<references>

<ref name="odabasioglu98">A. Odabasioglu, M. Celik, L.T. Pileggi, [https://doi.org/10.1109/43.712097 PRIMA: Passive Reduced-order Interconnect Macromodeling Algorithm]. IEEE Transactions on Computer-Aided Design of Integrated Circuits and Systems, 17(8): 645--654, 1998.</ref>

<ref name="chahlaoui02"> Y. Chahlaoui, P. Van Dooren, [http://eprints.maths.manchester.ac.uk/1040/1/ChahlaouiV02a.pdf A collection of Benchmark examples for model reduction of linear time invariant dynamical systems], Working Note 2002-2: 2002.</ref>

<ref name="chahlaoui05"> Y. Chahlaoui, P. Van Dooren, [https://doi.org/10.1007/3-540-27909-1_24 Benchmark Examples for Model Reduction of Linear Time-Invariant Dynamical Systems], Dimension Reduction of Large-Scale Systems, Lecture Notes in Computational Science and Engineering, vol 45: 379--392, 2005.</ref>

</references>

Modal truncation

2022-08-25T12:54:57Z

Himpe:

[[Category:method]]
[[Category:linear]]
[[Category:time invariant]]
[[Category:first differential order]]
[[Category:second differential order]]
[[Category:linear algebra]]

==Description==
Model truncation<ref name="Dav66"/> is one of the oldest MOR methods for linear time invariant systems

:<equation id="gensys" shownumber>
<math>
E\dot{x}(t)=A x(t)+B u(t), \quad
y(t)=Cx(t)+Du(t),\quad E,A\in\mathbb{R}^{n\times n},~B\in\mathbb{R}^{n\times m},~C\in\mathbb{R}^{p\times n},~D\in\mathbb{R}^{p\times m}.\qquad (1)
</math>
</equation>

The main idea is to construct the [[Projection_based_MOR|projection matrices]] as <math>V=[x_1,\ldots,x_r], W=[y_1,\ldots,y_r]</math> where the <math>x_i, y_i</math> are right and left eigenvectors corresponding to
certain eigenvalues <math>\lambda_i\in\Lambda(A,E)</math>. The eigentriples <math>(\lambda_i,x_i,y_i)</math> satisfy.

:<math>
Ax_i=\lambda_iEx_i,\quad A^Hy_i=\overline{\lambda_i}E^Hy_i,\quad i=1,\ldots,r.
</math>

They are different ways to select this typically small subset of eigenvalues. An often used criterion is to take the eigenvalue closest to the imaginary axis, i.e. the ones with the smallest real part, and their associated eigenvectors into account. Dominant pole based modal truncation selects <math>(\lambda_i,x_i,y_i)</math> with respect to their contribution in the transfer function and is described below.

One advantage of such eigenvalue based MOR methods is that they can be easily adapted to more general time invariant systems, for instance, systems in second order form

:<math>
M\ddot{x}(t)+D\dot{x}(t)+K x(t)=B u(t), \quad
y(t)=C_px(t)+C_v\dot x(t)+Du(t)
</math>

which occur frequently in vibration analysis for mechanical systems. There, <math>M,D,K</math> being referred to as Mass, Damping, and Stiffness matrix are represent a finite element discretization of the mechanical system. In fact, a large variety of modal truncation type approaches originated in this application<ref name="KouB08"/>, e.g., Condensation (Guyan reduction)<ref name="Guy65"/> and Component Mode Synthesis (Craig-Bampton)<ref name="CraB68"/>.
Modal truncation methods can also be generalized to handle linear, time-invariant system with higher time derivatives and even with time-delays, e.g.

:<math>
E\dot{x}(t)=A x(t)+Fx(t-\tau)+B u(t), \quad
y(t)=Cx(t)+Du(t),
</math>

where <math>\tau\geq0</math> is the time-delay.

Other advantages are that modal truncation can in principle applied to DAEs of arbitrary index and to unstable systems. They do, however, preserve stability since they do not change the eigenvalues of the original system.
They rely on eigenvalue algorithms to compute the required eigentriplets. There are several algorithms available for this purpose for large and sparse matrices.

Disadvantages are the lack of a computationally feasible error bound and the often observed lower approximation accuracy compared to other MOR methods.

== Dominant pole based modal truncation ==

<figure id="bode1">
[[File:Transferf.jpg|350px|thumb|right|<caption>3D Bode plot of transfer function.</caption>]]
</figure>
<figure id="bode2">
[[File:Bode_newengland.jpg|350px|thumb|right|<caption>2D Bode plot of transfer function.</caption>]]
</figure>

This modal truncation variant aims at the identification of eigentriplets <math>(\lambda_i,x_i,y_i)</math> which have a strong contribution to the input-output behavior of the dynamical. For this purpose, let all eigenvalues be semisimple and consider the residue expansion of the transfer function matrix (exemplary of (1))

:<equation id="residue" shownumber>
<math>H(s)=C(sE-A)^{-1}B+D=\sum\limits_{j=1}^{n_f}\frac{(Cx_j)(y_j^HB)}{s-\lambda_j}+D+R_{\infty},\qquad(2)</math>
</equation>

where <math>n_f</math> is the number of finite eigenvalue of <math>(A,E)</math> and <math>R_{\infty}</math> is the residue corresponding to the infinite eigenvalues. For simplicity we assume <math>R_{\infty}=0</math>. The quantities <math>R_j:=(Cx_j)(y_j^HB)</math> in the numerator of the above series are the residues w.r.t. <math>\lambda_i</math>. Each finite eigenvalue <math>\lambda_i</math> is pole of <math>H(s)</math> and is called dominant pole if its scaled residue norm
<math>
\frac{\|R_j\|}{|\real{\lambda_j}|}
</math>
is larger than the ones of the other eigentriples which corresponds in some sense to the largest summand in the residue expansion of <math>H(s)</math>. Dominant poles can be observed in the Bode, or sigma plot. Fig. 1 and Fig. 2 illustrates this phenomenon for the [[Power_system_examples|New England]] test system.

The upper figure shows a three dimensional surface plot of <math>H(s)</math> in a region in the left half plane. The poles of <math>H(s)</math> (eigenvalues of
<math>(A,E)</math>) are marked as black dots in the <math>\real(s)-\Im(s)</math>-plane. Observe that the function values grow in the limit
towards infinity as <math>s</math> reaches an eigenvalue <math>\lambda\in\Lambda(A,E)</math>. However, the poles marked as
thick blue dots elevate the function values in a stronger way and are the one with the largest scaled residues, i.e., the dominant poles. The cutsection of this plot along the <math>\Im(s)</math> axis gives the Bode plot and is shown in the bottom figure where peaks occur near the imaginary parts of the dominant poles which are marked by the blue dots.

Dominant pole based model truncation then amounts to compute the, say <math>r\ll n_f</math>, most dominant poles (i.e., the dominant eigentriplets) and
take the associated right and left eigenvectors as columns of the truncation matrices <math>V, W</math>. Equivalently, the reduced order model is obtained by truncating the residue expansion (2):

:<math>H(s)\approx\tilde{H}(s)=\sum\limits_{j=1}^{r}\frac{(Cx_j)(y_j^HB)}{s-\lambda_j}+D</math>.

Note that <math>\tilde{H}(s)</math> constructed in that way is often called modal equivalent of <math>H(s)</math>.
A specially tailored eigenvalue algorithm to compute the sought dominant eigentriplets for this task is the [[DPA|(Subspace Accelerated) Dominant Pole Algorithm]]
<ref name="MarLP96"/><ref name="RomM06a"/><ref name="RomM06b"/><ref name="Rom07"/><ref name="RomS08"/><ref name="Kue10"/>.

A MATLAB implementation of this algorithms and certain variants thereof can be found at [https://sites.google.com/site/rommes/software https://sites.google.com/site/rommes/software].

==References==
<references>
<ref name="Dav66">E. J. Davison, "[http://ieeexplore.ieee.org/xpls/abs_all.jsp?arnumber=1098264 A method for simplifying linear dynamic systems]"
, IEEE Transaction on Automated Control, vol. 11, no. 1, 93–101, 1966</ref>

<ref name="KouB08">P. Koutsovasilis and M. Beitelschmidt, "[http://link.springer.com/article/10.1007%2Fs11044-008-9116-4# Comparison of Model Reduction Techniques for Large Mechanical Systems]", Multibody
System Dynamics, vol.20, no.2, pp.111-128, 2008</ref>

<ref name="Guy65">R.J. Guyan, "[http://arc.aiaa.org/doi/pdf/10.2514/3.2874 Reduction of Stiffness and Mass Matrices]", AIAA Journal, vol.3, no.2, pp.380, 1965</ref>

<ref name="CraB68">R. Craig and M. Bampton, "[http://arc.aiaa.org/doi/pdf/10.2514/3.4741 Coupling of Substructures for Dynamic Analyses]", AIAA Journal, vol.6, no.7, pp.1313-1319, 1968</ref>

<ref name="MarLP96">N. Martins, L. Lima, and H. Pinto, "[http://ieeexplore.ieee.org/xpl/articleDetails.jsp?arnumber=486093 Computing dominant poles of power system transfer functions]", IEEE Transactions on
Power Systems, vol.11, no.1, pp.162-170, 1996</ref>

<ref name="RomM06a">J. Rommes and N. Martins, "[http://ieeexplore.ieee.org/xpl/freeabs_all.jsp?isnumber=34850&arnumber=1664957&count=60&index=22 Efficient computation of transfer function dominant poles using subspace acceleration]", IEEE Transactions on
Power Systems, vol.21, no.3, pp.1218-1226, 2006</ref>

<ref name="RomM06b">J. Rommes and N. Martins, "[http://ieeexplore.ieee.org/xpl/freeabs_all.jsp?isnumber=36135&arnumber=1717547&count=61&index=0 Efficient computation of multivariable transfer function dominant poles using subspace acceleration]", IEEE Transactions on
Power Systems, vol.21, no.4, pp.1471-1483, 2006</ref>

<ref name="Rom07">J. Rommes, "[http://igitur-archive.library.uu.nl/dissertations/2007-0626-202553/index.htm Methods for eigenvalue problems with applications in model order reduction]", Ph.D. dissertation, Universiteit
Utrecht, 2007.</ref>

<ref name="RomS08">J. Rommes and G. L. G. Sleijpen, "[http://epubs.siam.org/doi/abs/10.1137/060671401 Convergence of the dominant pole algorithm and Rayleigh quotient iteration]", SIAM
Journal on Matrix Analysis and Applications, vol. 30, no. 1,
pp. 346–363, 2008.</ref>

<ref name="Kue10">P. Kürschner, "[http://www.mpi-magdeburg.mpg.de/mpcsc/mitarbeiter/kuerschner/docs/masterthesis.pdf Two-sided eigenvalue methods for modal approximation]", Master’s thesis, Chemnitz University of Technology,
Department of Mathematics, Germany, 2010.</ref>
</references>