MOR Wiki - User contributions [en]

ITHACA-FV

2026-05-05T07:22:24Z

Saak:

[[Category:Software]]

== Synopsis ==

[[File:ithaca-fv.png|200px|right|ithaca-sem box]]

[http://mathlab.sissa.it/ithaca-fv ITHACA-FV] is an implementation in OpenFOAM of several reduced order modelling techniques. ITHACA-FV is designed for [http://openfoam.org/version/6 OpenFOAM 6.0] and [http://openfoam.org/version/5-0 OpenFOAM 5.0] but it can be easily adapted also to other versions of OpenFOAM.

ITHACA-FV can also be used as a basis for more advanced projects that would like to assess the capability of reduced order models in their existing OpenFOAM-based software, thanks to the availability of several reduced order methods and algorithms.

Linear and non-linear algebra operations which are not already implemented in OpenFOAM are performed with the external library [http://eigen.tuxfamily.org/index.php?title=Main_Page Eigen]. The source code of Eigen 3.3.4 is provided together with ITHACA-FV and is located in the [http://github.com/mathLab/ITHACA-FV/tree/master/src/thirdparty/Eigen src/thirdyparty/Eigen]. For the EigenValue decomposition it is also possible to rely on the [http://spectralib.org/ Spectra-0.6.1] library and the source code is provided in the [http://github.com/mathLab/ITHACA-FV/tree/master/src/thirdparty/spectra-0.6.1 src/thirdyparty/spectra-0.6.1] folder.

ITHACA-FV has been tested on Ubuntu 16.04, Centos 6.6, Centos 7 and ArchLinux, but can be easily compiled on any linux distribution with a compiled version of OpenFOAM 6.0 or OpenFOAM 5.0.

== Requirements ==

ITHACA-FV requires
* [http://openfoam.org/version/6 OpenFOAM 6.0] or
* [http://openfoam.org/version/5-0 OpenFOAM 5.0]

== Features ==

As of Feb. 2019:
* It can perform Linear and Non-Linear Model Order Reduction.
* Allows using generic parametrization specified by the user.
* It uses POD for the generation of the bases.
* Computes a POD-Galerkin reduced order model.
* Possibility to use non-intrusive POD-I methods with Radial Basis Function Interpolation.
* Discrete Empirical Interpolation Method for non-linearity and non-affinity.

== Links ==

GitHub repository: http://github.com/mathLab/ITHACA-FV

Website: http://mathlab.sissa.it/ITHACA-FV

Documentation: http://mathlab.github.io/ITHACA-FV/

== References ==
* G. Stabile, G. Rozza, [http://doi.org/10.1016/j.compfluid.2018.01.035 Finite volume POD-Galerkin stabilised reduced order methods for the parametrised incompressible Navier-Stokes equations], Computers & Fluids, Elsevier BV, 2018, 173, 273-284
* G. Stabile, S. Hijazi, A. Mola, S. Lorenzi, G. Rozza, [http://doi.org/10.1515/caim-2017-0011 POD-Galerkin reduced order methods for CFD using Finite Volume Discretisation: vortex shedding around a circular cylinder Communications in Applied and Industrial Mathematics], Walter de Gruyter GmbH, 2017, 8, 210-236
* G. Stabile, G. Rozza, [http://arxiv.org/abs/1901.06373 Efficient Geometrical parametrization for finite-volume based reduced order methods], 2019, submitted.
* S. Hijazi, S. Ali, G. Stabile, F. Ballarin, G. Rozza, [http://arxiv.org/abs/1807.11370 The Effort of Increasing Reynolds Number in Projection-Based Reduced Order Methods: from Laminar to Turbulent Flows], FEF Special Volume, 2018
* S. Georgaka, G. Stabile, G. Rozza, M. J. Bluck, [http://arxiv.org/abs/1808.05175 Parametric POD-Galerkin Model Order Reduction for Unsteady-State Heat Transfer Problems], Communications in Computational Physics, 2019, in Press.

== How to cite ==
Most of the theoretical aspects behind ITHACA-FV are deeply explained in [http://arxiv.org/pdf/1701.03424.pdf Stabile2017CAIM] and [http://arxiv.org/pdf/1710.11580.pdf Stabile2017CAF].
For this reason, if you use this software, please consider citing the mentioned works, reported in the following bibtex entries:

@Article{Stabile2017CAIM,
Title = {{POD-Galerkin reduced order methods for CFD using Finite
Volume Discretisation: vortex shedding around a circular cylinder}},
Author = {Stabile, Giovanni and Hijazi, Saddam and Mola, Andrea and
Lorenzi, Stefano and Rozza, Gianluigi},
Journal = {Communications in Applied and Industrial Mathematics},
Year = {(2017)},
Volume = {8},
Number = {1},
pages = {210-236},
Doi = {10.1515/caim-2017-0011}}

@Article{Stabile2017CAF,
Title = {{Finite volume POD-Galerkin stabilised reduced order methods
for the parametrised incompressible Navier-Stokes equations}},
Author = {Stabile, Giovanni and Rozza, Gianluigi},
Journal = {Computers & Fluids},
Year = {2018},
Doi = {10.1016/j.compfluid.2018.01.035}}

and cite the [http://mathlab.sissa.it/ITHACA-FV ITHACA-FV website].

== Contact ==

[[User:Stabile| Giovanni Stabile]]

Stokes equation

2026-05-05T07:21:55Z

Saak:

[[Category:benchmark]]
[[Category:procedural]]
[[Category:SISO]]
[[Category:linear]]
[[Category:Sparse]]

==Description==
This benchmark presents the two-dimensional instationary [[wikipedia:Stokes_flow|Stokes equation]],
which models flow of an incompressible fluid in a domain <ref name="Sty03"/>,<ref name="Sty04"/>,<ref name="MehS05"/>,<ref name="Sty06"/>,<ref name="Sch07"/>.
The associated partial differential equation system is given by:
:<math>
\begin{align}
\frac{\partial v}{\partial t} &= \Delta v - \nabla p + f, \qquad (x,t) \in \Omega \times (0,T] \\
0 &= \operatorname{div} v, \\
v &= 0, \qquad \qquad \qquad \quad \; (x,t) \in \partial \Omega \times (0,T]
\end{align}
</math>
with velocity variable <math>v(x,t)</math> and pressure variable <math>\rho(x,t)</math>,
on a spatial domain <math>\Omega = [0,1] \times [0,1] \subset \mathbb{R}^2</math>,
and an external forcing term <math>f</math>.
The boundary conditions are no-slip.

A finite volume discretization on a uniform, staggered grid yields the descriptor system:
:<math>
\begin{align}
\begin{bmatrix} E_{11} & 0 \\ 0 & 0 \end{bmatrix} \begin{pmatrix} \dot{v}_h(t) \\ 0 \end{pmatrix} &=
\begin{bmatrix} A_{11} & A_{12} \\ A_{12}^\intercal & 0 \end{bmatrix} \begin{pmatrix} v_h(t) \\ \rho_h(t) \end{pmatrix} +
\begin{bmatrix} B_1 \\ B_2 \end{bmatrix} u(t) \\
y(t)\quad & = \begin{bmatrix} C_1 \,\;&\;\, C_2 \end{bmatrix} \begin{pmatrix} v_h(t) \\ \rho_h(t) \end{pmatrix}
\end{align}
</math>
The matrix <math>A_{11}</math> matrix is the discretized Laplace operator,
while <math>A_{12}</math> corresponds to the discrete gradient and divergence operators.
For this benchmark the compound discretization of the boundary values and external forcing <math>[B_1 \; B_2]^\intercal \in \mathbb{R}^{N \times 1}</math> is chosen (uniformly) randomly,
whereas the output matrix <math>[C_1 \; C_2] \in \mathbb{R}^{1 \times N}</math> is set to:
:<math>
\begin{align}
\begin{bmatrix} C_1 & C_2 \end{bmatrix} = \begin{bmatrix} 1 & 0 & \dots & 0 \end{bmatrix}.
\end{align}
</math>

==Data==

This is a procedural benchmark.
A MATLAB m-file to generate <math>E, A, B, C</math> matrices can be found as part of the [https://www.mpi-magdeburg.mpg.de/projects/mess M.E.S.S] project,
under:

DEMOS/models/stokes/stokes_ind2.m

==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 1}</math>,
<math>C \in \mathbb{R}^{1 \times N}</math>.

==Citation==

To cite this benchmark, use the following references:

* For the benchmark itself and its data:
::The MORwiki Community, '''Stokes equation'''. MORwiki - Model Order Reduction Wiki, 2018. https://modelreduction.org/morwiki/Stokes_equation

@MISC{morwiki_stokes,
author = <nowiki>{{The MORwiki Community}}</nowiki>,
title = {Stokes equation},
howpublished = {{MORwiki} -- Model Order Reduction Wiki},
url = <nowiki>{https://modelreduction.org/morwiki/Stokes_equation}</nowiki>,
year = {20XX}
}

* For the background on the benchmark:

@PHDTHESIS{Sch07,
author = <nowiki>{M.Schmidt}</nowiki>,
title = {Systematic discretization of input/output maps and other contributions to the control of distributed parameter systems},
school = {TU Berlin},
year = {2007},
doi = {10.14279/depositonce-1600}
}

==References==

<references>

<ref name="Sty03">T. Stykel. [https://doi.org/10.1002/pamm.200310302 Balanced truncation model reduction for descriptor systems], Proceedings in Applied Mathematics and Mechanics 3: 5--8, 2003.</ref>

<ref name="Sty04">T. Stykel. [https://doi.org/10.1007/s00498-004-0141-4 Gramian-Based Model Reduction for Descriptor System], Mathematics of Control, Signals, and Systems 16(4): 297--319, 2004.</ref>

<ref name="MehS05">V. Mehrmann, T. Stykel. [https://doi.org/10.1007/3-540-27909-1_3 Balanced Truncation Model Reduction for Large-Scale Systems in Descriptor Form], Dimension Reduction of Large-Scale Systems, Lecture Notes in Computational Science and Engineering, vol 45: 83--115, 2005.</ref>

<ref name="Sty06">T. Stykel. [https://doi.org/10.1016/j.laa.2004.01.015 Balanced Truncation model reduction for semidiscretized Stokes equation], Linear Algebra and its Application 415(2--3): 262--289, 2006.</ref>

<ref name="Sch07">M.Schmidt. [https://doi.org/10.14279/depositonce-1600 Systematic discretization of input/output maps and other contributions to the control of distributed parameter systems], Ph.D. thesis, TU Berlin, 2007.</ref>

</references>

==Contact==

[[User:Himpe]]

Talk:Mass-Spring-Damper

2026-04-30T12:17:15Z

Saak: Created page with "{{preliminary}}  I feel like this should be a landing page for all kinds of MSD systems, or the plain linear MSD. It feels odd that the nonlinear one is the default."

{{preliminary}} 

I feel like this should be a landing page for all kinds of MSD systems, or the plain linear MSD. It feels odd that the nonlinear one is the default.

Sound transmission through a plate

2026-04-30T12:07:40Z

Saak:

[[Category:benchmark]]
[[Category:linear]]
[[Category:second differential order]]
[[Category:SISO]]

{{Infobox
|Title = Sound Transmission through a Plate
|Benchmark ID = soundTransmission_n95480m1q1
|Category = misc
|System-Class = LTI-SOS
|nstates = 95480
|ninputs = 1
|noutputs = 1
|nparameters = 0
|components = B, C, E, K, M
|License = Creative Commons Attribution 4.0 International
|Creator = [[User:Aumann]]
|Editor =
* [[User:Aumann]]
|Zenodo-link = https://zenodo.org/record/7670587/files/soundTransmission_n95480m1q1.mat
}}

<figure id="fig:plot1">
[[File:guy.png|480px|thumb|right|<caption>Sketch of the geometry.</caption>]]
</figure>

<figure id="fig:tf">
[[File:guy_tf.png|480px|thumb|right|<caption>Transfer function.</caption>]]
</figure>

==Description==
The '''Sound transmission through a plate''' benchmark models the radiation of a vibrating plate and the excitation of a structure by an oscillating acoustic fluid. It is based on an experiment by Guy<ref name="guy81"/>.

The system consists of a cuboid acoustic cavity, where one wall is considered a system of two parallel elastic brass plates with a <math>2\,\mathrm{cm}</math> air gap between them; all other walls are considered rigid. The plates measure <math>0.2 \times 0.2\,\mathrm{m}</math> and have a thickness of <math>t = 0.9144\,\mathrm{mm}</math>; the receiving cavity is <math>0.2\,\mathrm{m}</math> wide. The outer plate is excited by a uniform pressure load and the resulting acoustic pressure in the receiving cavity is measured at the middle of the rigid wall opposite to the elastic plate (<math>P_1</math> in the sketch).

The following material parameters have been considered for the brass plates and the acoustic fluid:
{| class="wikitable" style="margin: auto;"
|+ style="caption-side:bottom;"|
|-
|Part
|Parameter
|Value
|Unit
|-style="background-color:#FFFFFF;"
|Brass plates
|<math>E</math>
|<math>104</math>
|<math>\mathrm{GPa}</math>
|-style="background-color:#FFFFFF;"
|
|<math>\rho</math>
|<math>8500</math>
|<math>\mathrm{kg}\,\mathrm{m}^{-3}</math>
|-style="background-color:#FFFFFF;"
|
|<math>\nu</math>
|<math>0.37</math>
|<math>-</math>
|-
|Acoustic fluid
|<math>c</math>
|<math>343</math>
|<math>\mathrm{m}\,\mathrm{s}^{-1}</math>
|-
|
|<math> \rho</math>
|<math> 1.21</math>
|<math> \mathrm{kg}\,\mathrm{m}^{-3}</math>
|-
|}

==Dimensions==
System structure:

:<math>
\begin{align}
M \ddot{x}(t) + E \dot{x}(t) + K x(t) &= B u(t), \\
y(t) &= C x(t)
\end{align}
</math>

System dimensions:

<math>M \in \mathbb{R}^{n \times n}</math>,
<math>E \in \mathbb{R}^{n \times n}</math>,
<math>K \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>,
with <math>n=95\,480</math>.

Proportional damping, i.e. <math>E=\alpha M + \beta K</math>, with <math>\alpha=0, \beta=1\cdot 10^{-7}</math> is considered.
The two-way coupling between the structure and the acoustic fluid results in non-symmetric matrices <math>M, E, K</math>.

==Data==
The data is available at [https://doi.org/10.5281/zenodo.7300346 Zenodo].

==Remarks==
* The numerical model resembles the experimental data<ref name="guy81"/> in a frequency range from <math>1\,\mathrm{Hz}</math> to <math>1000\,\mathrm{Hz}</math>. The frequency response in this range is also included in the dataset.
* The finite element discretization has been performed with [https://github.com/KratosMultiphysics/Kratos Kratos Multiphysics].
* The system has unstable eigenvalues. This is common in interior acoustic problems where no damping is assumed for the acoustic fluid<ref name="cool22"/>.
* A comparison of different interpolation-based MOR methods using this benchmark example is available in<ref name="aumann23"/>

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

* For the benchmark itself and its data:
@Misc{dataAum22,
author = {Aumann, Q.},
title = {Matrices for a sound transmission problem},
howpublished = {hosted at {MORwiki} -- Model Order Reduction Wiki},
year = 2022,
doi = {10.5281/zenodo.7300346}
}

* For the background on the benchmark:

@Article{AumW23,
author = {Aumann, Q. and Werner, S.~W.~R.},
title = {Structured model order reduction for vibro-acoustic problems using interpolation and balancing methods},
journal = {Journal of Sound and Vibration},
volume = 543,
year = 2023,
pages = {117363},
doi = {10.1016/j.jsv.2022.117363},
publisher = {Elsevier {BV}}
}

==References==

<references>

<ref name="guy81">R. W. Guy. "[https://www.ingentaconnect.com/content/dav/aaua/1981/00000049/00000004/art00010 The Transmission of Airborne Sound through a Finite Panel, Air Gap, Panel and Cavity Configuration – a Steady State Analysis ]", Acta Acustica united with Acustica, 49(4): 323--333, 1981.</ref>

<ref name="cool22">V. Cool, S. Jonckheere, E. Deckers, W. Desmet. "[http://dx.doi.org/10.1016/j.jsv.2022.116922 Black box stability preserving reduction techniques in the Loewner framework for the efficient time domain simulation of dynamical systems with damping treatments]", Journal of Sound and Vibration, 529: 116922, 2022.</ref>

<ref name="aumann23">Q. Aumann, S. W. R. Werner. "[https://doi.org/10.1016/j.jsv.2022.117363 Structured model order reduction for vibro-acoustic problems using interpolation and balancing methods]", Journal of Sound and Vibration, 543: 117363, 2023.</ref>

</references>

RLC Ladder (Gugercin/Antoulas 2004)

2026-04-30T12:07:13Z

Saak:

[[Category:benchmark]]
[[Category:SISO]]

{{Infobox
|Title = RCL Circuit Equations
|Benchmark ID =
* rlc_ladder_GA_n?m1q1
|Category = morwiki
|System-Class = LTI-FOS
|nstates =
* arbitrary
|ninputs =
* 1
|noutputs =
* 1
|nparameters = 0
|components = A, B, C, D
|License = MIT
|Creator = [[User:Gugercin]]
|Editor =
* [[User:Saak]]
|Zenodo-link = NA
}}

==Description==
<figure id="fig1">[[File:Rlc_ladder_segment_GugA04.png|490px|thumb|right|<caption>One section of the circuit.</caption>]]</figure>

This model represents an electic circuit made of a cascade of interconnected sections. Each section consists of a simple setup as depicted in [[RLC_Ladder_(Gugercin/Antoulas_2004)#fig1|Figure 1]]. The input is the voltage <math>V</math> applied to the first section; the output is the current <math>I</math> of the first section.

:<math>
\begin{align}
\dot x(t) &= A x(t) + B u(t), \\
y(t) &= C x(t) + D u(t), \\
x(0) &= x_0,
\end{align}
</math>

with <math>t>0</math>.

==Origin==
This model was used in the numerical experiments section of <ref name="morGugA04"/>.

==Data==
The following Matlab code assembles the above described <math>A</math>, <math>B</math>, <math>C</math>, and <math>D</math>, matrices of requested dimensions. The input parameters <code>R</code>, <code>Rbar</code>, <code>Cap</code> and <code>L</code> represent the two resistances, the capacitance and the inductivity of each section of the circuit, as depicted in [[RLC_Ladder_(Gugercin/Antoulas_2004)#fig1|Figure 1]]. They default to the values from <ref name="morGugA04"/>, when omitted.

<div class="thumbinner" style="width:680px;text-align:left;">
<syntaxhighlight lang="matlab">
function [A, B, C, D, sys_rlc] = circuit_sparse(N, R , Rbar, Cap, L)
% circuit_sparse generates a SISO RLC ladder model of prescribed dimensions
%
% The model follows the descriptioin in DOI:10.1080/00207170410001713448
% and the input parameters R, Rbar, Cap and L default to the values given
% there, when omitted. If also N is omitted the original 100 dimensional
% realization is created.
%
% The code is a sparse adaption of the original dense generator function by
% Serkan Gugercin.
%

%
% MIT License
%
% Copyright (c) 2026 The MORwiki Community
%
% Permission is hereby granted, free of charge, to any person
% obtaining a copy of this software and associated documentation files
% (the "Software"), to deal in the Software without restriction,
% including without limitation the rights to use, copy, modify, merge,
% publish, distribute, sublicense, and/or sell copies of the Software,
% and to permit persons to whom the Software is furnished to do so,
% subject to the following conditions:
%
% The above copyright notice and this permission notice shall be
% included in all copies or substantial portions of the Software.
%
% THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
% EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
% MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
% NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS
% BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN
% ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
% CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
% SOFTWARE.
%

if nargin < 1
N = 100;
end

if nargin < 2
% parameter values from DOI:10.1080/00207170410001713448
R = 0.1;
Rbar = 1;
Cap = 0.1;
L = 0.1;
end

z1 = 1 / L * ones(N, 1);
z2 = -1 / L * Rbar * R / (Rbar + R) * ones(N, 1);
z3 = -1 / L * Rbar / (Rbar + R) * ones(N, 1);

% Every second row needs to be adapted for the second ladder step
z3(2:2:N) = -1 / Cap;
z2(1:2:N) = -1 / Cap / (Rbar + R);
z1(2:2:N) = 1 / Cap * Rbar / (Rbar + R);

% start end end are exceptional
z2(1) = -1 / R / Cap; % sets A(1, 1)
z3(1) = -1 / Cap; % sets A(1, 2)
z2(N) = -Rbar / L; % sets A(N, N)
z1(N - 1) = 1 / L; % sets A(N, N-1)

A = spdiags([z1 z2 z3], -1:1, N, N);
B = [(1 / R / Cap); sparse(N - 1, 1)];
C = [(-1 / R) sparse(1, N - 1)];
D = 1 / R;

if exist('sparss', 'file')
sys_rlc = sparss(A, B, C, D);
else
sys_rlc = [];
end
</syntaxhighlight>
</div>

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

* For the benchmark itself and its data:
:: '''RLC Ladder (Gugercin/Antoulas 2004)'''. hosted at MORwiki - Model Order Reduction Wiki, 2026. http://modelreduction.org/index.php/RLC_Ladder_(Gugercin/Antoulas_2004)

@MISC{morwiki_steel,
author = <nowiki>{{The MORWiki Community}}</nowiki>,
title = {RLC Ladder (Gugercin/Antoulas 2004)}
howpublished = {hosted at {MORwiki} -- Model Order Reduction Wiki},
url = <nowiki>{https://modelreduction.org/morwiki/RLC_Ladder_(Gugercin/Antoulas_2004)}</nowiki>,
year = 2026
}

* For the background on the benchmark:

@Article{morGugA04,
author = {Gugercin, S. and Antoulas, A.~C.},
title = {A survey of model reduction by balanced truncation and some
new results},
journal = IntControl,
year = 2004,
volume = 77,
number = 8,
pages = {748--766},
doi = {10.1080/00207170410001713448}
}

==References==

<references>

<ref name="morGugA04"> S. Gugercin and A.C. Antoulas, [https://doi.org/10.1080/00207170410001713448 A survey of model reduction by balanced truncation and some new results], International Journal of Control,
77:8, 748-766, 2004.</ref>

</references>

Battery pack

2026-04-30T12:05:37Z

Saak:

[[Category:benchmark]]
[[Category:parametric]]
[[Category:sparse]]
[[Category:linear]]
[[Category:first differential order]]
[[Category:ODE]]
[[Category:MIMO]]

{{Infobox
|Title = Battery pack
|Benchmark ID = batteryPack_n151642m10q10
|Category = misc
|System-Class = AP-LTI-FOS
|nstates = 151642
|ninputs = 10
|noutputs = 10
|nparameters = 2
|components = A, B, C, E
|License = Creative Commons Attribution 4.0 International
|Creator = Lucas Kostetzer ([http://www.cadfem.de/ CADFEM])
|Editor = [[User:Vettermann]]
|Zenodo-link = https://zenodo.org/records/10820678
}}

== Motivation ==
Due to the increasing interest in electromobility detailed knowledge about the thermal system behavior
of complete '''battery packs''' becomes crucial <ref name="geppert"/>. Many aspects like power performance and aging characteristics depend on the temperature of the system. Thus the use of reduced models is important for a fast simulation of the system behavior over a long period of time.

== Description ==

[[File:Battery.png|480px|thumb|right|<caption>Model of the battery pack.</caption>]]

The '''battery pack''' consists of 10 cells and a water-cooled plate .
The model has been generated and meshed in ANSYS.
SOLID90 elements have been used for the finite element discretization of the battery cells.
The flow problem has been modeled by FLUID116 elements, representing a one-dimensional pipe flow. Thereby
SURF152 elements have been used to realize the convection between fluid and cooled plate.
Thermal radiation and convection between battery pack and environment are neglected.
The contact between the individual battery cells and between cells and cooled plate has been modeled with
the help of the elements CONTA174 and TARGE170.

The ambient temperature as well as the fluid temperature at the entrance of the pipes has the given value of 0°C.

== Data ==
The parametric system of order <math> n=151642 </math> with <math> m=10 </math> inputs and <math> q=10 </math> outputs is of the following form

:<math>
\begin{align}
E\dot{T} & = (A + p_1 A_1 + p_2 A_2)T + Bu \\
y & = CT
\end{align}
</math>

with

:{| style="text-align:left"
| <math> E \in \mathbb{R}^{n\times n} </math> || - capacity matrix
|-
| <math> A \in \mathbb{R}^{n \times n} </math> || - basic conductivity matrix
|-
| <math> A_1 \in \mathbb{R}^{n \times n} </math> || - part of conductivity matrix arising from convection
|-
| <math> A_2 \in \mathbb{R}^{n \times n} </math> || - part of conductivity matrix arising from heat flux
|-
| <math> B \in \mathbb{R}^{n\times m} </math> || - input map
|-
| <math> C \in \mathbb{R}^{q\times n} </math> || - output map
|-
| <math> T \in \mathbb{R}^n </math> ||- state vector (temperature)
|-
| <math> u \in \mathbb{R}^{m} </math> ||- input vector (heat generation rate of each battery cell)
|-
| <math> y \in \mathbb{R}^{q} </math> ||- output vector (temperature at the center of each battery cell)
|-
|}

where <math> p_1 </math> is the heat transfer coefficient and <math> p_2 </math> is the mass flow in the pipes (FLUID116 elements with load heat flux).

All matrices can be downloaded from [https://zenodo.org/records/10820678 Zenodo]. The '''battery pack''' is a benchmark for problems
containing unsymmetric matrices.

In the original model the values <math>p_1=500\tfrac{W}{m^2 K}</math> and <math>p_2=0.1\tfrac{W}{m^2}</math> for the parameters have been used.

== Origin ==
The model was created in ANSYS by Lucas Kostetzer ([http://www.cadfem.de/ CADFEM]). The export of the system matrices from ANSYS and the documentation for MOR Wiki were performed by [[User:Vettermann]].

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

For the benchmark itself and its data:

@misc{dataBatteryPack,
author = {Lucas Kostetzer and Julia Vettermann},
title = {Battery pack},
howpublished = {hosted at {MORwiki} -- Model Order Reduction Wiki},
year = 2024,
doi = {10.5281/zenodo.10820678}
}

== Reference ==
<references>
<ref name="geppert"> Geppert, Michael: "Entwicklung einer Werkzeugkette für die Erstellung reduzierter thermischer Modelle für Batteriepacks", diploma thesis, Institute of Automotive Technology, Technische Universität München, Munich, Germany (2010).</ref>
</references>

EZyRB

2026-04-30T12:05:07Z

Saak:

[[Category:Software]]
[[Category:Python]]

[[file:logo_ezrb.png|220px|right|EZyRB logo]]

[https://github.com/mathLab/EZyRB EZyRB]: Easy Reduced Basis method, is a Python package for the Model Order Reduction based on baricentric triangulation for the selection of the parameter points and on Proper Orthogonal Decomposition for the selection of the modes. It is ideally suited for actual industrial problems, since its structure can interact with several simulation software simply providing the output file of the simulations. Up to now, it handles files in the vtk, stl, and mat formats. It has been used for the model order reduction of problems solved with MATLAB and openFOAM.

It has several tutorials for offline and online phases, and has been used in naval and automotive engineering problems as a non-intrusive tool for model order reduction, since it uses only solution field snapshots.

== Features ==
The following main features are provided in the latest release of the software (as of January 2019):
* POD with interpolation capabilities
* Radial basis functions interpolator
* Input from different files such as VTK, MATLAB, and STL
* Mapping of different solution fields on a common mesh
* Selection of new parameters using the barycentric center of the region (simplex) with higher error
* Error estimation based on leave-one-out strategy

== Citation ==
* Nicola Demo, Marco Tezzele, Gianluigi Rozza (2018). EZyRB: Easy Reduced Basis method. Journal of Open Source Software, 3(24), 661, https://doi.org/10.21105/joss.00661

== Links ==
* Official software page: https://github.com/mathLab/EZyRB
* Online documentation: https://mathlab.github.io/EZyRB/
* mathLab computational science and engineering software: https://mathlab.sissa.it/cse-software

== Contact ==
* [[User:Demo|Nicola Demo]]
* [[User:Tezzele|Marco Tezzele]]

FEniCS Rail

2026-04-30T12:04:50Z

Saak:

[[Category:benchmark]]
[[Category:time invariant]]
[[Category:MIMO]]
[[Category:Sparse]]

{{Infobox
|Title = FEniCS Rail
|Benchmark ID =
* fenicsRail_n371m7q6
* fenicsRail_n1357m7q6
* fenicsRail_n5177m7q6
* fenicsRail_n20209m7q6
* fenicsRail_n79841m7q6
* fenicsRail_n317377m7q6
* fenicsRail_n1265537m7q6
|Category = MOR Wiki
|System-Class = LTI-FOS
|nstates =
* 371
* 1357
* 5177
* 20209
* 79841
* 317377
* 1265537
|ninputs = 7
|noutputs = 6
|nparameters = 0
|components = A, B, C, E
|License = CC-BY-4.0
|Creator =
* [[User:Saak]]
* Maximilian Behr
|Editor = [[User:Saak]]
|Zenodo-link = https://zenodo.org/record/5113560 Zenodo
}}

[[Steel Profile|Oberwolfach Rail]] Reimplementation in FEniCS.

See the [https://gitlab.mpi-magdeburg.mpg.de/models/fenicsrail Gitlab] or [https://zenodo.org/record/5113560 Zenodo] links for the data.

Search Tool

2026-04-30T12:03:26Z

Saak:

We are currently developing a search interface that will allow users to filter benchmark data sets based on properties like size, linearity, symmetry, etc., similar to how one can navigate the SuiteSparse[https://sparse.tamu.edu] matrix collection. Please check back often for updates.

See the [[Glossary]] for a list of definitions, abbreviations, and search properties.

Feed axis

2026-04-30T12:01:42Z

Saak:

[[Category:benchmark]]
[[Category:Sparse]]
[[Category:first differential order]]
[[Category:MIMO]]
[[Category:CRC-TR-96]]

==Description==
<figure id="fig:plot1">
[[File:feed_axis.png|480px|thumb|right|<caption>Feed axis of a modern 5-axis vertical milling machine<ref name="vettermann22"/>.</caption>]]
</figure>

The '''Feed axis''' benchmark is a thermo-mechanical model of a subassembly of a modern 5-axis vertical milling machine described in<ref name="vettermann22"/>. Due to trade secrets the model provided here uses a coarser discretization and sliqhtly different material properties. The system consists of two large structural parts, namely the slide and the headstock, and four machine components which are the carriages, see Figure 1. During the finite element analysis, the parts are modeled as linear elements, while the components are considered as nonlinear spring-damper elements using multi-point constraints. The temperature change in the guideway systems of a machine tool can lead to a measurable change in the static stiffness and causes a nonlinearity in the model. Thus, the stiffness matrix has a small nonlinear part reflecting these geometrically local nonlinearities.

==Dimensions==
System structure:

:<math>
\begin{align}
E \dot{x}(t) + K x(t) &= B u(t), \\
y(t) &= C x(t)
\end{align}
</math>

System dimensions:

<math>E \in \mathbb{R}^{n \times n}</math>,
<math>K \in \mathbb{R}^{n \times n}</math>,
<math>B \in \mathbb{R}^{n \times m}</math>,
<math>C \in \mathbb{R}^{p \times n}</math>,
with <math>n=79\,814</math>, <math>m=20</math> and <math>p=63</math>.

==Data==
The data is available at [https://doi.org/10.5281/zenodo.6778458 Zenodo]. It contains information for 6 different poses of the model which can be combined in form of a switched system to consider a relative movement between slide and headstock.

==Remarks==
* The finite element discretization has been performed with [https://www.ansys.com Ansys].
* The system consists of a large linear part and a small nonlinear subsystem. A strategy for MOR by substructuring allowing the usage of standard methods for LTI systems is presented in<ref name="vettermann22"/>.
* It is a differential-algebraic system with one-sided coupling.
* Further investigations on MOR for this benchmark including the problem of moving loads modeled in form of a switched system can be found in<ref name="vettermann23"/>. Here, the scaling of the model plays an important role.
* The data package<ref name="datavettermann22"/> also provides codes for MOR and simulation of the model.

==Origin==
The '''Feed axis''' model was developed in the [https://morwiki.mpi-magdeburg.mpg.de/morwiki/index.php/Category:CRC-TR-96 CRC/TR 96] Project-ID 174223256 financed by the German Research Foundation DFG.

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

* For the benchmark itself and its data:
@misc{dataVS22,
author = {J. Vettermann and A. Steinert and J. Saak},
title = {Feed axis},
howpublished = {hosted at {MORwiki} -- Model Order Reduction Wiki},
year = 2022,
doi = {10.5281/zenodo.6778458}
}

* For the background on the benchmark:

@article{VS22,
author = {J. Vettermann and A. Steinert and C. Brecher and P. Benner and J. Saak},
title = {Compact thermo-mechanical models for the fast simulation of machine tools with nonlinear component behavior},
journal = {at - Automatisierungstechnik},
volume = 70,
number = 8,
year = 2022,
pages = {692--704},
doi = {10.1515/auto-2022-0029},
}

==References==

<references>

<ref name="vettermann22">J. Vettermann, A. Steinert, C. Brecher, P. Benner, J. Saak. "[https://doi.org/10.1515/auto-2022-0029 Compact thermo-mechanical models for the fast simulation of machinetools with nonlinear component behavior]", at - Automatisierungstechnik, 70(8): 692–704, 2022.</ref>

<ref name="datavettermann22">J. Vettermann, A. Steinert, J. Saak. [https://doi.org/10.5281/zenodo.6778458 Code and Data for Numerical Experiments in "Compact Thermo-Mechanical Models for the Fast Simulation of Machine Tools with Nonlinear Component Behavior"], zenodo, 2022.</ref>

<ref name="vettermann23">Q. Aumann, P. Benner, J. Saak, J. Vettermann. "[https://doi.org/10.1002/pamm.202200286 Model order reduction via substructuring for a nonlinear, differential-algebraic machine tool model with moving loads]", Proceedings in Applied Mathematics and Mechanics, 93(1), 2023.</ref>

</references>

==Contact==

''[[User:Saak]]''

MAX stand

2026-04-30T12:01:18Z

Saak:

[[Category:benchmark]]
[[Category:Parametric]]
[[Category:Sparse]]
[[Category:linear]]
[[Category:first differential order]]
[[Category:ODE]]
[[Category:MIMO]]
[[Category:CRC-TR-96]]

{{Infobox
|Title = MAX stand
|Benchmark ID =
* maxStandSA1_n25872m10q10
* maxStandSA2_n39527m30q30
* maxStandSA3_n13551m6q6
* maxStandSA4_n4813m23q23
|Category = CRC-TR-96
|System-Class = AP-LTI-FOS
|nstates =
* 25872
* 39527
* 13551
* 4813
|ninputs =
* 10
* 30
* 6
* 23
|noutputs =
* 10
* 30
* 6
* 23
|nparameters =
* 2
* 1
* 1
* 1
|components = A, B, C, E
|License = Creative Commons Attribution 4.0 International
|Creator =
* CRC/TR 96:
* Chair of Machine Tools Development and Adaptive Controls (Technische Universität Dresden),
* Mathematics in Industry and Technology (Technische Universität Chemnitz)
|Editor = [[User:Vettermann]]
|Zenodo-link = https://zenodo.org/records/10039696
}}

==Motivation==

Due to the increasing interest in manufacturing accuracy without an additional energy demand for cooling, knowledge about the thermo-elastic behavior of entire machine tools becomes crucial. Methods to correct the thermally induced position error between the tool-center-point (TCP) and the workpiece in real-time are needed. Therefore, reduced-order models that enable a fast simulation of entire machine tools are applied in the design and production process.

==Description==
<figure id="fig:plot1">
[[File:MAX_stand.png|480px|thumb|right|<caption>Subassemblies of the MAX stand.</caption>]]
</figure>

The '''MAX stand''' benchmark is a linear thermal model of a stand of the demonstrator machine tool '''[https://tu-dresden.de/ing/maschinenwesen/imd/lwm/forschung/werkzeugmaschinen-versuchsfeld/versuchstraeger-max MAX]'''. Due to its lightweight construction based on aluminium structures, low heat capacities and high thermal coefficients of expansion are to be expected <ref name="grossmann2015"/>. It is divided into four stationary subassemblies (SA): base, z-stand with guide rail and bottom plate, motor with belt housing, bearing seat and outer bearing ring as well as ball screw (spindle with inner bearing ring), see Fig. 1. The thermal finite element (FE) model was generated in ANSYS and afterwards the FE system matrices were exported for post-processing, such as MOR, to MATLAB. The interaction between the subassemblies is modeled by contact boundary conditions. The evolution of the temperature field is modeled with the heat equation

:<math>
\begin{align}
c_p\rho\frac{\partial T}{\partial t}&=\lambda \Delta T, & &\text{ on } \Omega_k , \text{ } k=1,\dots,4, \\
\lambda\frac{\partial T}{\partial n}&=f, & &\text{ on } \Gamma_{c_k} \subset\partial\Omega_k , \text{ } k=1,\dots,4, \\
\lambda\frac{\partial T}{\partial n}&=\alpha_{ext}(T_{ext}-T), & &\text{ on } \Gamma_{ext_k} \subset\partial\Omega_k , \text{ } k=1,\dots,4, \\
T(0)&=T_0, & &\text{ at } t=0
\end{align}
</math>

with

:<math>
\begin{align}
f=q_{fric}+\kappa_c(T_{c_i}-T_{c_k}), \quad i,k=1,\dots,4, \quad i\neq k,
\end{align}
</math>

and

:{| style="text-align:left"
| <math> k </math> || - number of the subassembly, <math> k=1,\dots, 4 </math>
|-
| <math> T </math> || - temperature
|-
| <math> c_p </math> || - specific heat capacity
|-
| <math> \rho </math> || - density
|-
| <math> \lambda </math> || - heat conductivity
|-
| <math> \Omega_k </math> || - domain of the k-th subassembly
|-
| <math> \Gamma_{c_k} </math> || - contact boundary of the k-th subassembly (partly time varying, moves with the position of the z-slide (considered as heat flow))
|-
| <math> \kappa_{ext} </math> || - heat transfer coefficient between a subassembly and the ambient air
|-
| <math> T_{ext} </math> || - external temperature
|-
| <math> \Gamma_{ext_k} </math> || - contact boundary with the ambience
|-
| <math> q_{fric} </math> || - friction driven heat flow induced by the movement
|-
| <math> \kappa_c </math> || - heat transfer coefficient between two subassemblies
|-
| <math> T_{c_k} </math> || - temperature of the contact area of subassembly k.
|-
|}

The finite element discretization of the heat conduction models leads to the four systems

:<math>
\begin{align}
E_k\dot{T}_k&=(A_k-\sum_{i=1}^{l_k}\kappa_{ext_i}(t)A^i_k)T_k+B_k u_k(t),\quad k=1,\dots,4\\
y_k(t)&=C_k T_k,\\
\end{align}
</math>

with

:{| style="text-align:left"
| <math> E_k \in \mathbb{R}^{n\times n} </math> || - FE mass matrix
|-
| <math> A_k \in \mathbb{R}^{n\times n} </math> || - basic stiffness matrix (discrete Laplacian)
|-
| <math> l_k \in \mathbb{R} </math> || - number of boundary conditions with the ambience (Robin boundary conditions (RBC))
|-
| <math> A^i_k \in \mathbb{R}^{n\times n} </math> || - boundary mass matrix (part of stiffness matrix arising from RBC)
|-
| <math> T_k \in \mathbb{R}^n </math> || - state vector (discrete temperature)
|-
| <math> B_k \in \mathbb{R}^{n \times m} </math> || - input map
|-
| <math> u_k \in \mathbb{R}^m </math> || - input vector
|-
| <math> y_k \in \mathbb{R}^p </math> || - output vector
|-
| <math> C_k \in \mathbb{R}^{p \times n} </math> || - output map.
|-
|}

The movement of the z-slide is considered as position-dependent heat flows in the input <math> u(t) </math>. The position of the z-slide in the '''MAX stand''' model is characterized by the position <math> d \in [0, 0.7571]\text{ }m </math> of the z-slide on the spindle and the guide rail. To include this variability in the model the boundaries of the subassemblies
are divided into smaller parts and the average temperature of these parts is used for computing the input <math> u(t) </math>. To be more precise, the spindle and the guide rail are divided into 20 segments each. The segments are numbered from top to bottom, i.e. for the position <math>d=0</math> the z-slide is in contact with segment 1 of the spindle and the guide rail.
In the simulation the calculated average temperature of an area in the current time step serves as input temperature of this area in the next time step and is also used for calculating the thermally dependent heat transfer coefficients. Thus the average temperatures of all contact areas are needed as outputs <math> y(t) </math>. Further, the temperatures in certain nodes of interest complete the output <math> y(t) </math>. For more information concerning MOR for systems with moving loads see e.g. <ref name="lang2014"/> and the references therein.

==Data==

The system matrices (heat transfer coefficients with the ambience may be varied) and files for a simulation of the model in time domain can be downloaded from [https://zenodo.org/records/10039696 Zenodo]. There is a set of matrices for each subassembly. The numbering of the subassemblies is shown in Fig. 1. Further the archive contains a MATLAB file with the description and computation of the contacts between the subassemblies and a file for the simulation of a work process. The overall system dimension is <math> n=83\,763 </math> with

{| class="wikitable" style="margin: auto;"
|+ style="caption-side:bottom;"|
|-
|Subassembly <math>k</math>
|<math>n_k</math>
|<math>m_k</math>
|<math>p_k</math>
|-style="background-color:#FFFFFF;"
|1
|<math>25\,872</math>
|<math>10</math>
|<math>10</math>
|-style="background-color:#FFFFFF;"
|2
|<math>39\,527</math>
|<math>30</math>
|<math>30</math>
|-style="background-color:#FFFFFF;"
|3
|<math>13\,551</math>
|<math>6</math>
|<math>6</math>
|-style="background-color:#FFFFFF;"
|4
|<math>4\,813</math>
|<math>23</math>
|<math>23</math>
|-
|}

==Remarks==
* This is a model with diagonal matrix <math>E</math>.
* The model was also used for numerical experiments presented in <ref name="palitta2023"/>.
* For the simulation the system was shifted by the initial temperature <math>T_0=20^{\circ}C</math> to guarantee a zero inital value.

==Origin==

The '''MAX stand''' is used as a demonstrator in the [https://morwiki.mpi-magdeburg.mpg.de/morwiki/index.php/Category:CRC-TR-96 CRC/TR 96] Project-ID 174223256 financed by the German Research Foundation DFG.

==Citation==

To cite this benchmark, use the following references:

* For the benchmark itself and its data:

@misc{dataCRCTR9623,
author = {Collaborative Research Centre Transregio 96 (CRC/TR 96)},
title = {Model of a machine tool stand},
howpublished = {hosted at {MORwiki} -- Model Order Reduction Wiki},
year = 2023,
doi = {10.5281/zenodo.10039696}
}

==References==
<references>
<ref name="grossmann2015">
K. Großmann, ed., "[https://doi.org/10.1007/978-3-319-12625-8 Thermo-energetic Design of Machine Tools]", Springer International Publishing, Switzerland, pp. 9-10, 2015.
</ref>

<ref name="lang2014">
N. Lang, J. Saak and P. Benner, "[https://doi.org/10.1515/auto-2014-1095 Model Order Reduction for Systems with Moving Loads]", at-Automatisierungstechnik, pp. 512–522, 2014.
</ref>

<ref name="palitta2023">
P. Benner, D. Palitta and J. Saak, "[https://doi.org/10.1007/s11075-022-01409-5 On an integrated Krylov-ADI solver for large-scale Lyapunov equations]", Numer Algor 92, pp. 35–63, 2023.
</ref>
</references>

==Contact==

''[[User:Saak]]''

MiniHex

2026-04-30T12:00:52Z

Saak:

[[Category:benchmark]]
[[Category:Parametric]]
[[Category:Sparse]]
[[Category:linear]]
[[Category:time varying]]
[[Category:first differential order]]
[[Category:ODE]]
[[Category:MIMO]]
[[Category:CRC-TR-96]]

{{Infobox
|Title = MiniHex
|Benchmark ID =
* MiniHexSA1_n44902m9q12
* MiniHexSA2_n49590m32q35
* MiniHexSA3_n1336m3q4
* MiniHexSA4_n21064m17q19
|Category = CRC-TR-96
|System-Class = AP-LTV-FOS
|nstates =
* 44902
* 49590
* 1336
* 21064
|ninputs =
* 9
* 32
* 3
* 17
|noutputs =
* 12
* 35
* 4
* 19
|nparameters =
* 6
* 2
* 1
* 9
|components = A, B, C, E
|License = Creative Commons Attribution 4.0 International
|Creator =
* CRC/TR 96:
* Chair of Machine Tools Development and Adaptive Controls (Technische Universität Dresden),
* Mathematics in Industry and Technology (Technische Universität Chemnitz)
|Editor = [[User:Vettermann]]
|Zenodo-link = https://zenodo.org/records/10033872
}}

==Motivation==

Due to the increasing interest in manufacturing accuracy without an additional energy demand for cooling, knowledge about the thermo-elastic behavior of entire machine tools becomes crucial. Methods to
correct the thermally induced position error between the tool-center-point (TCP) and the workpiece in real-time are needed. Therefore reduced-order models that enable a fast simulation of entire machine tools are
applied in the design and production process.

==Description==


[[File:MiniHex.png|480px|thumb|right|<caption>Figure 1: Thermal FE-modeling with segmented spindle surface to enter position-dependent heat flows <ref name="galant2015"/></caption>]]


The mobile demonstrator-machine '''[https://tu-dresden.de/ing/maschinenwesen/imd/lwm/forschung/werkzeugmaschinen-versuchsfeld/hexapod-minihex MiniHex]''' consists of six struts of variable length, which are driven by ball screws, each with a servo-motor <ref name="grossmann2015"/>. Following one of the feedaxes is considered. It is divided into four stationary
subassemblies: belt housing with motor, spindle, spindle nut and feed tube. The thermal finite element (FE) model was generated in ANSYS and afterwards the FE system matrices were exported for post-proceessing, such as MOR, to MATLAB.
The evolution of the temperature field is modelled with the heat equation

:<math>
\begin{align}
c_p\rho\frac{\partial T}{\partial t}&=\lambda \Delta T, & &\text{ on } \Omega_k , \text{ } k=1,\dots,4, \\
\lambda\frac{\partial T}{\partial n}&=f, & &\text{ on } \Gamma_{c_k} \subset\partial\Omega_k , \text{ } k=1,\dots,4, \\
\lambda\frac{\partial T}{\partial n}&=\kappa_{ext}(T_{ext}-T), & &\text{ on } \Gamma_{ext_k} \subset\partial\Omega_k , \text{ } k=1,\dots,4, \\
T(0)&=T_0, & &\text{ at } t=0
\end{align}
</math>

with

:<math>
\begin{align}
f=q_{fric}+\kappa_c(T_{c_i}-T_{c_k}), \quad i,k=1,\dots,4, \quad i\neq k,
\end{align}
</math>

and

:{| style="text-align:left"
| <math> k \in \mathbb{R} </math> || - number of the subassembly, <math> k=1,\dots, 4 </math>
|-
| <math> T </math> || - temperature
|-
| <math> c_p </math> || - specific heat capacity
|-
| <math> \rho </math> || - density
|-
| <math> \lambda </math> || - heat conductivity
|-
| <math> \Omega_k </math> || - domain of the k-th subassembly
|-
| <math> \Gamma_{c_k} </math> || - contact boundary of the k-th subassembly (partly time varying, moves with the position of the nut)
|-
| <math> \kappa_{ext} </math> || - heat transfer coefficient between a subassembly and the ambient air
|-
| <math> T_{ext} </math> || - external temperature
|-
| <math> \Gamma_{ext_k} </math> || - contact boundary with the ambience
|-
| <math> q_{fric} </math> || - friction driven heat flow induced by the movement
|-
| <math> \kappa_c </math> || - heat transfer coefficient between two subassemblies
|-
| <math> T_{c_k} </math> || - temperature of the contact area of subassembly k.
|-
|}

The finite element discretization of the heat conduction models leads to the four systems

:<math>
\begin{align}
E_k\dot{T}_k&=(A_k-\sum_{i=1}^{l_k}\kappa_{ext_i}(t)A^i_k)T_k+B_k u_k(t),\quad k=1,\dots,4\\
y_k(t)&=C_k T_k,\\
\end{align}
</math>

with

:{| style="text-align:left"
| <math> E_k \in \mathbb{R}^{n\times n} </math> || - FE mass matrix
|-
| <math> A_k \in \mathbb{R}^{n\times n} </math> || - basic stiffness matrix (discrete Laplacian)
|-
| <math> l \in \mathbb{R} </math> || - number of boundary conditions with the ambience (Robin boundary conditions (RBC))
|-
| <math> A^i_k \in \mathbb{R}^{n\times n} </math> || - boundary mass matrix (part of stiffness matrix arising from RBC)
|-
| <math> T_k \in \mathbb{R}^n </math> || - state vector (discrete temperature)
|-
| <math> B_k \in \mathbb{R}^{n \times m} </math> || - input map
|-
| <math> u_k \in \mathbb{R}^m </math> || - input vector
|-
| <math> y_k \in \mathbb{R}^p </math> || - output vector
|-
| <math> C_k \in \mathbb{R}^{p \times n} </math> || - output map.
|-
|}

The interaction between the subassemblies is considered as position-dependent heat flows in the input <math> u(t) </math>. The movement of the '''MiniHex''' is characterized by the position <math> d </math> of the nut on the spindle with
<math> d \in [-0.26,0.26]\text{ }m </math>. This movement induces a variability of the contact areas between the subassemblies. To include this variability in the model the boundaries of the subassemblies
are divided into smaller parts and the average temperature of these parts is used for computing the input <math> u(t) </math>. To be more precise, the spindle is divided into 32 parts and the feed tube into 17 parts <ref name="galant2016"/>.
In the simulation the calculated average temperature of an area in the current time step serves as input temperature of this area in the next time step and is also used for calculating the thermally dependent
heat transfer coefficients. Thus the average temperatures of all contact areas are needed as outputs <math> y(t) </math>. Further, the temperatures in certain nodes of interest complete the output <math> y(t) </math>.
For more information concerning MOR for systems with moving loads see e.g. <ref name="lang2014"/> and the references therein.

==Data==

The system matrices can be downloaded from [https://zenodo.org/records/10033872 Zenodo]. There is a set of matrices for each subassembly and input data to simulate a work process. The numbering of the subassemblies is as follows:
1 - belt housing with motor, 2 - spindle, 3 - spindle nut and 4 - feed tube.
Further the archive contains some MATLAB files with the description and computation of the 18 contacts between the subassemblies as well as the computation of the temperature-dependent heat transfer coefficients. The overall system dimension is <math> n=116892 </math> with <math> n_1=44902 </math> , <math> n_2=49590 </math>, <math> n_3=1336 </math> and <math> n_4=21064 </math>.

==Origin==

The '''MiniHex''' is used as a demonstrator in the [https://morwiki.mpi-magdeburg.mpg.de/morwiki/index.php/Category:CRC-TR-96 CRC/TR 96] Project-ID 174223256 financed by the German Research Foundation DFG.

==Citation==

To cite this benchmark, use the following references:

* For the benchmark itself and its data:

@misc{dataCRCTR9623b,
author = {Collaborative Research Centre Transregio 96 (CRC/TR 96)},
title = {Model of a machine tool axis},
howpublished = {hosted at {MORwiki} -- Model Order Reduction Wiki},
year = 2023,
doi = {10.5281/zenodo.10033872}
}

* For the background on the benchmark:

@inbook{GalMG15,
author = {Galant, A. and Mühl, A. and Gro{\ss}mann, K.},
title = {Thermo-Elastic Simulation of Entire Machine Tool},
booktitle = {Thermo-energetic Design of Machine Tools},
editor = {Gro{\ss}mann, K.},
publisher = {Springer International Publishing, Switzerland},
pages = {69--84},
year = {2015},
doi = {10.1007/978-3-319-12625-8}
}

==References==
<references>
<ref name="galant2016">
A. Galant, S. Schroeder, B. Kauschinger and M. Beitelschmidt, "Erstellung und Abgleich eines strukturbasierten thermischen Modells der kugelgewindegetriebenen Vorschubachsen eines Hexapoden", in Thermo-Energetische Gestaltung von Werkzeugmaschinen, [https://d-nb.info/1082556157 Tagungsband 4. Kolloquium zum SFB/TR 96], C. Brecher, ed., RWTH Aachen, Aachen, 2016, pp. 15–32.
</ref>

<ref name="galant2015">
A. Galant, A. Mühl and K. Großmann, "Thermo-Elastic Simulation of Entire Machine Tool", in [https://doi.org/10.1007/978-3-319-12625-8 Thermo-energetic Design of Machine Tools], K. Großmann, ed., Springer International Publishing, Switzerland, 2015, pp. 69–84.
</ref>

<ref name="grossmann2015">
K. Großmann, ed., "[https://doi.org/10.1007/978-3-319-12625-8 Thermo-energetic Design of Machine Tools]", Springer International Publishing, Switzerland, 2015, pp. 9-10.
</ref>

<ref name="lang2014">
N. Lang, J. Saak and P. Benner, "[https://doi.org/10.1515/auto-2014-1095 Model Order Reduction for Systems with Moving Loads]", at-Automatisierungstechnik, 8/2014, pp. 512–522.
</ref>
</references>

==Contact==

''[[User:Saak]]''

Machine tool with relative movements

2026-04-30T12:00:01Z

Saak:

[[Category:benchmark]]
[[Category:Sparse]]
[[Category:first differential order]]
[[Category:MIMO]]
[[Category:CRC-TR-96]]

{{Infobox
|Title = Machine tool with relative movements
|Benchmark ID =
* rail_n91181m89q89
* slider_n74392m8q8
|Category = CRC-TR-96
|System-Class = LTI-FOS
|nstates =
* 91181
* 74392
|ninputs =
* 89
* 8
|noutputs =
* 89
* 8
|nparameters = 0
|components = A, B, C, E
|License = Creative Commons Attribution 4.0 International
|Creator =
* CRC/TR 96:
* [[User:Aumann]]
* [[User:Saak]]
* [[User:Vettermann]]
|Editor = [[User:Vettermann]]
|Zenodo-link = https://zenodo.org/records/8099979
}}

<figure id="fig:plot1">
[[File:mt_geo.png|480px|thumb|right|<caption>Sketch of the geometry and the boundary conditions.</caption>]]
</figure>
==Description==

This benchmark models a machine tool composed out of two components. The "rail" part is the machine bed with a guide rail, the "slider" part moves along the rail on four carts and carries the tool.
Slider and rail move relative to each other during the simulated work process. This relative movement is realized by decomposing a weighting function into a Fourier series and superposing their weighted sum, which depends on the current position of the slider. The weighted sums are then used in every time step to compute the thermal load exchanged between the two components. This approach is described in more detail in<ref name="hernandez"/>. Due this approach, additional inputs and outputs are created, but the resulting system is still LTI, despite the relative movement.

<figure id="fig:plot2">
[[File:mt_rail.png|480px|thumb|right|<caption>Temperature evaluation on the rail midpoint.</caption>]]
</figure>
<figure id="fig:plot3">
[[File:mt_slider.png|480px|thumb|right|<caption>Temperature evaluation on the TCP.</caption>]]
</figure>
The thermal response of the system has been investigated in<ref name="ictimt"/>. Here, the temperature change in the middle of the rail and the tool center point (TCP), respectively, have been measured during a simulated work process. In the first <math>600\,\mathrm{s}</math>, the slider is moving from left to right constantly. Afterwards, the slider remains at its location. During the first <math>600\,\mathrm{s}</math> six heat sources introduce energy into the system. They are located at the TCP, the work piece, and the four carts (see Fig. 1). After the slider stops to move, the heat sources are switched off. The temperature evaluations are given in Figs. 2 and 3.

==Dimensions==
Both systems have the same structure:

:<math>
\begin{align}
E \dot{x}(t) &= A x(t) + B u(t), \\
y(t) &= C x(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}^{p \times n}</math>,
with <math>n=91\,181</math>, <math>m=p=89</math> for the rail system and <math>n=74\,392</math>, <math>m=p=8</math> for the slider system.

==Data==
The data is available at [https://doi.org/10.5281/zenodo.8099978 Zenodo].

==Remarks==
* The dataset contains also the data for the movement profile that was used to produce the results reported here. This can be changed by modifying the variable <code>sc</code>.
* The system also contains the elastic degrees of freedom and their coupling in <math>x</math>-direction.

==Origin==
The '''Machine tool with relative movements''' model was developed in the [https://morwiki.mpi-magdeburg.mpg.de/morwiki/index.php/Category:CRC-TR-96 CRC/TR 96] Project-ID 174223256 financed by the German Research Foundation DFG.

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

* For the benchmark itself and its data:
@misc{dataAumSV23,
author = {Q. Aumann and J. Saak and J. Vettermann},
title = {Model of a machine tool with relative movements},
howpublished = {hosted at {MORwiki} -- Model Order Reduction Wiki},
year = 2023,
doi = {10.5281/zenodo.8099979}
}

* For the background on the benchmark:

@article{AumBSetal23,
author = {Q. Aumann and P. Benner and J. Saak and J. Vettermann},
booktitle = {Lecture Notes in Production Engineering},
publisher = {Springer International Publishing},
title = {Model order reduction strategies for the computation of compact machine tool models},
year = {2023},
editor = {S. Ihlenfeldt},
pages = {132--145},
doi = {10.1007/978-3-031-34486-2_10},
}

==References==

<references>

<ref name="ictimt">Q. Aumann, P. Benner, J. Saak, J. Vettermann. "[https://doi.org/10.1007/978-3-031-34486-2_10 Model Order Reduction Strategies for the Computation of Compact Machine Tool Models]", In: S. Ihlenfeldt (ed) Lecture Notes in Production Engineering. Springer International Publishing, pp 132–145, 2023.</ref>

<ref name="hernandez">P. Hernández-Becerro [https://www.research-collection.ethz.ch/handle/20.500.11850/449279 Efficient Thermal Error Models of Machine Tools"], Dissertation, ETH Zurich, 2002.</ref>

</references>

Machine tool MAX

2026-04-30T11:59:40Z

Saak:

[[Category:benchmark]]
[[Category:Sparse]]
[[Category:linear]]
[[Category:first differential order]]
[[Category:ODE]]
[[Category:MIMO]]
[[Category:CRC-TR-96]]

{{Infobox
|Title = Machine tool MAX
|Benchmark ID =
* machineToolMAX_feCoupled_n1265497m69q11
* machineToolMAX_outputCoupled_n1265497m287q224
|Category = CRC-TR-96
|System-Class = LTI-FOS
|nstates = 1265497
|ninputs =
* 69
* 287
|noutputs =
* 11
* 224
|nparameters = 0
|components = A, B, C, E
|License = Creative Commons Attribution 4.0 International
|Creator =
* CRC/TR 96:
* Chair of Machine Tools Development and Adaptive Controls (TU Dresden),
* Chair of Dynamics and Mechanism Design (TU Dresden),
* Mathematics in Industry and Technology (TU Chemnitz),
* Numerical Mathematics (Partial Differential Equations) (TU Chemnitz)
|Editor = [[User:Vettermann]]
|Zenodo-link = https://zenodo.org/records/10041041
}}

==Motivation==

Due to the increasing interest in manufacturing accuracy without an additional energy demand for cooling, knowledge about the thermo-elastic behavior of entire machine tools becomes crucial. Methods to correct the thermally induced position error between the tool-center-point (TCP) and the workpiece in real-time are needed. Therefore, reduced-order models that enable a fast simulation of entire machine tools are applied in the design and production process.

==Description==
<figure id="fig:plot1">
[[File:MAX_real.jpg|480px|thumb|right|<caption>Experimental machine tool MAX.</caption>]]
</figure>

<figure id="fig:plot2">
[[File:MAX_FE.pdf|480px|thumb|right|<caption>Subassemblies and FE-model of the benchmark MAX.</caption>]]
</figure>

The '''MAX''' benchmark is a linear time-invariant thermal model of the demonstrator machine tool '''[https://tu-dresden.de/ing/maschinenwesen/imd/lwm/forschung/werkzeugmaschinen-versuchsfeld/versuchstraeger-max MAX]'''(Fig. 1). Due to its lightweight construction based on aluminium structures, low heat capacities and high thermal coefficients of expansion are to be expected <ref name="grossmann2015"/>. It is divided into 50 stationary subassemblies (SA), see Fig. 2. The thermal finite element (FE) model was generated in ANSYS and afterwards the model was exported for post-processing as described in <ref name="vettermann2021"/>. The interaction between the subassemblies is modeled by contact boundary conditions. The evolution of the temperature field is modeled with the heat equation

:<math>
\begin{align}
c_p\rho\frac{\partial T}{\partial t}&=\lambda \Delta T, & &\text{ on } \Omega_k , \text{ } k=1,\dots,50, \\
\lambda\frac{\partial T}{\partial n}&=f, & &\text{ on } \Gamma_{c_k} \subset\partial\Omega_k , \text{ } k=1,\dots,50, \\
\lambda\frac{\partial T}{\partial n}&=\alpha_{ext}(T_{ext}-T), & &\text{ on } \Gamma_{ext_k} \subset\partial\Omega_k , \text{ } k=1,\dots,50, \\
T(0)&=T_0, & &\text{ at } t=0
\end{align}
</math>

with

:<math>
\begin{align}
f=\kappa_c(T_{c_i}-T_{c_k}), \quad i\neq k,
\end{align}
</math>

and

:{| style="text-align:left"
| <math> k </math> || - number of the subassembly, <math> k=1,\dots, 50 </math>
|-
| <math> T </math> || - temperature
|-
| <math> c_p </math> || - specific heat capacity
|-
| <math> \rho </math> || - density
|-
| <math> \lambda </math> || - heat conductivity
|-
| <math> \Omega_k </math> || - domain of the k-th subassembly
|-
| <math> \Gamma_{c_k} </math> || - contact boundary of the k-th subassembly (partly time varying, moves with the position of the z-slide (considered as heat flow))
|-
| <math> \kappa_{ext} </math> || - heat transfer coefficient between a subassembly and the ambient air
|-
| <math> T_{ext} </math> || - external temperature
|-
| <math> \Gamma_{ext_k} </math> || - contact boundary with the ambience
|-
| <math> \kappa_c </math> || - heat transfer coefficient between two subassemblies
|-
| <math> T_{c_k} </math> || - temperature of the contact area of subassembly k.
|-
|}

The finite element discretization of the heat conduction models leads to the system

:<math>
\begin{align}
E\dot{T}&=A T+B u(t),\\
y(t)&=C T,\\
\end{align}
</math>

with

:{| style="text-align:left"
| <math> E \in \mathbb{R}^{n\times n} </math> || - capacity matrix
|-
| <math> A \in \mathbb{R}^{n\times n} </math> || - conductivity matrix
|-
| <math> T \in \mathbb{R}^n </math> || - state vector (discrete temperature)
|-
| <math> B \in \mathbb{R}^{n \times m} </math> || - input map
|-
| <math> u \in \mathbb{R}^m </math> || - input vector
|-
| <math> y \in \mathbb{R}^p </math> || - output vector
|-
| <math> C \in \mathbb{R}^{p \times n} </math> || - output map.
|-
|}

==Data==

<figure id="fig:plot3">
[[File:coupled_systems.pdf|480px|thumb|right|<caption>Sketch of the two coupling approaches using the example of a model with 2 subassemblies.</caption>]]
</figure>

The system matrices are available in the .mat file format and can be downloaded from [https://zenodo.org/records/10041041 Zenodo]. The model has <math> n=1\,265\,497 </math> degrees of freedom and is available for two different coupling approaches, which are explained in more detail in <ref name="vettermann2021"/>, see also Fig. 3:
* A so called output-coupled model: In this case, an input-output coupling was used, i.e., the model is block diagonal with a total number of <math> m=287 </math> inputs and <math> p=224 </math> outputs. Thus the subassemlby models can be reduced separately for structure preserving MOR. The block diagonal system can be split into a set of matrices for each subassembly by the script "generate_subsystems.m".
* A so called FE-coupled model: In this case, the subassemblies are coupled on FE-level, i.e., the conductivity matrix A of the overall system has additional (off-diagonal) coupling blocks. Thus the subassembly models cannot be reduced separately anymore. There is one set of matrices for the overall model with <math> m=69 </math> inputs and <math> p=11 </math> outputs.

==Origin==

The '''MAX''' is used as an experimental machine tool in the [https://morwiki.mpi-magdeburg.mpg.de/morwiki/index.php/Category:CRC-TR-96 CRC/TR 96] Project-ID 174223256 financed by the German Research Foundation DFG.

==Citation==

To cite this benchmark, use the following references:

* For the benchmark itself and its data:

@misc{dataCRCTR9623a,
author = {Collaborative Research Centre Transregio 96 (CRC/TR 96)},
title = {Machine tool model},
howpublished = {hosted at {MORwiki} -- Model Order Reduction Wiki},
year = 2023,
doi = {10.5281/zenodo.10041041}
}

* For the background on the benchmark:

@article{morVetSNetal21,
author = {Vettermann, J. and Sauerzapf, S. and Naumann, A. and Beitelschmidt, M. and Herzog, R. and Benner, P. and Saak, J.},
title = {Model order reduction methods for coupled machine tool models},
journal = {MM Science Journal},
volume = {Special Issue ICTIMT2021 --- 2nd International Conference on Thermal Issues in Machine Tools, April 20, 2021, Prague, Czech Republic},
number = 3,
pages = {4652--4659},
issn = {1805-0476},
year = {2021},
doi = {10.17973/MMSJ.2021_7_2021072}
}

==References==
<references>
<ref name="grossmann2015">
K. Großmann, ed., "[https://doi.org/10.1007/978-3-319-12625-8 Thermo-energetic Design of Machine Tools]", Springer International Publishing, Switzerland, pp. 9-10, 2015.
</ref>

<ref name="vettermann2021">
J. Vettermann, S. Sauerzapf, A. Naumann, M. Beitelschmidt, R. Herzog, P. Benner and J. Saak, "[https://doi.org/10.17973/MMSJ.2021_7_2021072 Model order reduction methods for coupled machine tool models]", MM Science Journal, Special Issue ICTIMT 2021, 2021.
</ref>

</references>

==Contact==

''[[User:Saak]]''

Category:Procedural

2026-04-30T11:58:58Z

Saak:

[[Category:benchmark]]

This page lists procedural benchmarks.

RLC Ladder (Gugercin/Antoulas 2004)

2026-01-26T09:56:06Z

Saak:

{{preliminary}} 

[[Category:benchmark]]
[[Category:SISO]]

{{Infobox
|Title = RCL Circuit Equations
|Benchmark ID =
* rlc_ladder_GA_n?m1q1
|Category = morwiki
|System-Class = LTI-FOS
|nstates =
* arbitrary
|ninputs =
* 1
|noutputs =
* 1
|nparameters = 0
|components = A, B, C, D
|License = MIT
|Creator = [[User:Gugercin]]
|Editor =
* [[User:Saak]]
|Zenodo-link = NA
}}

==Description==
<figure id="fig1">[[File:Rlc_ladder_segment_GugA04.png|490px|thumb|right|<caption>One section of the circuit.</caption>]]</figure>

This model represents an electic circuit made of a cascade of interconnected sections. Each section consists of a simple setup as depicted in [[RLC_Ladder_(Gugercin/Antoulas_2004)#fig1|Figure 1]]. The input is the voltage <math>V</math> applied to the first section; the output is the current <math>I</math> of the first section.

:<math>
\begin{align}
\dot x(t) &= A x(t) + B u(t), \\
y(t) &= C x(t) + D u(t), \\
x(0) &= x_0,
\end{align}
</math>

with <math>t>0</math>.

==Origin==
This model was used in the numerical experiments section of <ref name="morGugA04"/>.

==Data==
The following Matlab code assembles the above described <math>A</math>, <math>B</math>, <math>C</math>, and <math>D</math>, matrices of requested dimensions. The input parameters <code>R</code>, <code>Rbar</code>, <code>Cap</code> and <code>L</code> represent the two resistances, the capacitance and the inductivity of each section of the circuit, as depicted in [[RLC_Ladder_(Gugercin/Antoulas_2004)#fig1|Figure 1]]. They default to the values from <ref name="morGugA04"/>, when omitted.

<div class="thumbinner" style="width:680px;text-align:left;">
<syntaxhighlight lang="matlab">
function [A, B, C, D, sys_rlc] = circuit_sparse(N, R , Rbar, Cap, L)
% circuit_sparse generates a SISO RLC ladder model of prescribed dimensions
%
% The model follows the descriptioin in DOI:10.1080/00207170410001713448
% and the input parameters R, Rbar, Cap and L default to the values given
% there, when omitted. If also N is omitted the original 100 dimensional
% realization is created.
%
% The code is a sparse adaption of the original dense generator function by
% Serkan Gugercin.
%

%
% MIT License
%
% Copyright (c) 2026 The MORwiki Community
%
% Permission is hereby granted, free of charge, to any person
% obtaining a copy of this software and associated documentation files
% (the "Software"), to deal in the Software without restriction,
% including without limitation the rights to use, copy, modify, merge,
% publish, distribute, sublicense, and/or sell copies of the Software,
% and to permit persons to whom the Software is furnished to do so,
% subject to the following conditions:
%
% The above copyright notice and this permission notice shall be
% included in all copies or substantial portions of the Software.
%
% THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
% EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
% MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
% NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS
% BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN
% ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
% CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
% SOFTWARE.
%

if nargin < 1
N = 100;
end

if nargin < 2
% parameter values from DOI:10.1080/00207170410001713448
R = 0.1;
Rbar = 1;
Cap = 0.1;
L = 0.1;
end

z1 = 1 / L * ones(N, 1);
z2 = -1 / L * Rbar * R / (Rbar + R) * ones(N, 1);
z3 = -1 / L * Rbar / (Rbar + R) * ones(N, 1);

% Every second row needs to be adapted for the second ladder step
z3(2:2:N) = -1 / Cap;
z2(1:2:N) = -1 / Cap / (Rbar + R);
z1(2:2:N) = 1 / Cap * Rbar / (Rbar + R);

% start end end are exceptional
z2(1) = -1 / R / Cap; % sets A(1, 1)
z3(1) = -1 / Cap; % sets A(1, 2)
z2(N) = -Rbar / L; % sets A(N, N)
z1(N - 1) = 1 / L; % sets A(N, N-1)

A = spdiags([z1 z2 z3], -1:1, N, N);
B = [(1 / R / Cap); sparse(N - 1, 1)];
C = [(-1 / R) sparse(1, N - 1)];
D = 1 / R;

if exist('sparss', 'file')
sys_rlc = sparss(A, B, C, D);
else
sys_rlc = [];
end
</syntaxhighlight>
</div>

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

* For the benchmark itself and its data:
:: '''RLC Ladder (Gugercin/Antoulas 2004)'''. hosted at MORwiki - Model Order Reduction Wiki, 2026. http://modelreduction.org/index.php/RLC_Ladder_(Gugercin/Antoulas_2004)

@MISC{morwiki_steel,
author = <nowiki>{{The MORWiki Community}}</nowiki>,
title = {RLC Ladder (Gugercin/Antoulas 2004)}
howpublished = {hosted at {MORwiki} -- Model Order Reduction Wiki},
url = <nowiki>{https://modelreduction.org/morwiki/RLC_Ladder_(Gugercin/Antoulas_2004)}</nowiki>,
year = 2026
}

* For the background on the benchmark:

@Article{morGugA04,
author = {Gugercin, S. and Antoulas, A.~C.},
title = {A survey of model reduction by balanced truncation and some
new results},
journal = IntControl,
year = 2004,
volume = 77,
number = 8,
pages = {748--766},
doi = {10.1080/00207170410001713448}
}

==References==

<references>

<ref name="morGugA04"> S. Gugercin and A.C. Antoulas, [https://doi.org/10.1080/00207170410001713448 A survey of model reduction by balanced truncation and some new results], International Journal of Control,
77:8, 748-766, 2004.</ref>

</references>

RLC Ladder (Gugercin/Antoulas 2004)

2026-01-26T09:51:53Z

Saak:

{{preliminary}} 

[[Category:benchmark]]
[[Category:SISO]]

{{Infobox
|Title = RCL Circuit Equations
|Benchmark ID =
* rlc_ladder_GA_n?m1q1
|Category = morwiki
|System-Class = LTI-FOS
|nstates =
* arbitrary
|ninputs =
* 1
|noutputs =
* 1
|nparameters = 0
|components = A, B, C, D
|License = MIT
|Creator = [[User:Gugercin]]
|Editor =
* [[User:Saak]]
|Zenodo-link = NA
}}

==Description==
<figure id="fig1">[[File:Rlc_ladder_segment_GugA04.png|490px|thumb|right|<caption>One section of the circuit.</caption>]]</figure>

This model represents an electic circuit made of a cascade of interconnected sections. Each section consists of a simple setup as depicted in [[RLC_Ladder_(Gugercin/Antoulas_2004)#fig1|Figure 1]]. The input is the voltage V applied to the first section; the output is the current I of the first section.

:<math>
\begin{align}
\dot x(t) &= A x(t) + B u(t), \\
y(t) &= C x(t) + D u(t), \\
x(0) &= x_0,
\end{align}
</math>

with <math>t>0</math>.

==Origin==
This model was used in the numerical experiments section of <ref name="morGugA04"/>.

==Data==
The following Matlab code assembles the above described <math>A</math>, <math>B</math>, <math>C</math>, and <math>D</math>, matrices of requested dimensions. The input parameters R, Rbar, Cap and L represent the two resistances, the capacitance and the inductivity of each section of the circuit, as depicted in [[RLC_Ladder_(Gugercin/Antoulas_2004)#fig1|Figure 1]]. They default to the values from <ref name="morGugA04"/>, when omitted.

<div class="thumbinner" style="width:680px;text-align:left;">
<syntaxhighlight lang="matlab">
function [A, B, C, D, sys_rlc] = circuit_sparse(N, R , Rbar, Cap, L)
% circuit_sparse generates a SISO RLC ladder model of prescribed dimensions
%
% The model follows the descriptioin in DOI:10.1080/00207170410001713448
% and the input parameters R, Rbar, Cap and L default to the values given
% there, when omitted. If also N is omitted the original 100 dimensional
% realization is created.
%
% The code is a sparse adaption of the original dense generator function by
% Serkan Gugercin.
%

%
% MIT License
%
% Copyright (c) 2026 The MORwiki Community
%
% Permission is hereby granted, free of charge, to any person
% obtaining a copy of this software and associated documentation files
% (the "Software"), to deal in the Software without restriction,
% including without limitation the rights to use, copy, modify, merge,
% publish, distribute, sublicense, and/or sell copies of the Software,
% and to permit persons to whom the Software is furnished to do so,
% subject to the following conditions:
%
% The above copyright notice and this permission notice shall be
% included in all copies or substantial portions of the Software.
%
% THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
% EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
% MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
% NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS
% BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN
% ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
% CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
% SOFTWARE.
%

if nargin < 1
N = 100;
end

if nargin < 2
% parameter values from DOI:10.1080/00207170410001713448
R = 0.1;
Rbar = 1;
Cap = 0.1;
L = 0.1;
end

z1 = 1 / L * ones(N, 1);
z2 = -1 / L * Rbar * R / (Rbar + R) * ones(N, 1);
z3 = -1 / L * Rbar / (Rbar + R) * ones(N, 1);

% Every second row needs to be adapted for the second ladder step
z3(2:2:N) = -1 / Cap;
z2(1:2:N) = -1 / Cap / (Rbar + R);
z1(2:2:N) = 1 / Cap * Rbar / (Rbar + R);

% start end end are exceptional
z2(1) = -1 / R / Cap; % sets A(1, 1)
z3(1) = -1 / Cap; % sets A(1, 2)
z2(N) = -Rbar / L; % sets A(N, N)
z1(N - 1) = 1 / L; % sets A(N, N-1)

A = spdiags([z1 z2 z3], -1:1, N, N);
B = [(1 / R / Cap); sparse(N - 1, 1)];
C = [(-1 / R) sparse(1, N - 1)];
D = 1 / R;

if exist('sparss', 'file')
sys_rlc = sparss(A, B, C, D);
else
sys_rlc = [];
end
</syntaxhighlight>
</div>

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

* For the benchmark itself and its data:
:: '''RLC Ladder (Gugercin/Antoulas 2004)'''. hosted at MORwiki - Model Order Reduction Wiki, 2026. http://modelreduction.org/index.php/RLC_Ladder_(Gugercin/Antoulas_2004)

@MISC{morwiki_steel,
author = <nowiki>{{The MORWiki Community}}</nowiki>,
title = {RLC Ladder (Gugercin/Antoulas 2004)}
howpublished = {hosted at {MORwiki} -- Model Order Reduction Wiki},
url = <nowiki>{https://modelreduction.org/morwiki/RLC_Ladder_(Gugercin/Antoulas_2004)}</nowiki>,
year = 2026
}

* For the background on the benchmark:

@Article{morGugA04,
author = {Gugercin, S. and Antoulas, A.~C.},
title = {A survey of model reduction by balanced truncation and some
new results},
journal = IntControl,
year = 2004,
volume = 77,
number = 8,
pages = {748--766},
doi = {10.1080/00207170410001713448}
}

==References==

<references>

<ref name="morGugA04"> S. Gugercin and A.C. Antoulas, [https://doi.org/10.1080/00207170410001713448 A survey of model reduction by balanced truncation and some new results], International Journal of Control,
77:8, 748-766, 2004.</ref>

</references>

RLC Ladder (Gugercin/Antoulas 2004)

2026-01-26T09:51:04Z

Saak:

{{preliminary}} 

[[Category:benchmark]]
[[Category:SISO]]

{{Infobox
|Title = RCL Circuit Equations
|Benchmark ID =
* rlc_ladder_GA_n?m1q1
|Category = morwiki
|System-Class = LTI-FOS
|nstates =
* arbitrary
|ninputs =
* 1
|noutputs =
* 1
|nparameters = 0
|components = A, B, C, D
|License = MIT
|Creator = [[User:Gugercin]]
|Editor =
* [[User:Saak]]
|Zenodo-link = NA
}}

==Description==
<figure id="fig1">[[File:Rlc_ladder_segment_GugA04.png|490px|thumb|right|<caption>One section of the circuit.</caption>]]</figure>

This model represents an electic circuit made of a cascade of interconnected sections. Each section consists of a simple setup as depicted in [[RLC_Ladder_(Gugercin/Antoulas_2004)#fig1|Figure 1]]. The input is the voltage V applied to the first section; the output is the current I of the first section.

:<math>
\begin{align}
\dot x(t) &= A x(t) + B u(t), \\
y(t) &= C x(t) + D u(t), \\
x(0) &= x_0,
\end{align}
</math>

with <math>t>0</math>.

==Origin==
This model was used in the numerical experiments section of <ref name="morGugA04"/>.

==Data==
The following Matlab code assembles the above described <math>A</math>, <math>B</math>, <math>C</math>, and <math>D</math>, matrices of requested dimensions. The input parameters R, Rbar, Cap and L represent the two resistances, the capacitance and the inductivity of each section of the circuit, as depicted in Figure 1. They default to the values from <ref name="morGugA04"/>, when omitted.

<div class="thumbinner" style="width:680px;text-align:left;">
<syntaxhighlight lang="matlab">
function [A, B, C, D, sys_rlc] = circuit_sparse(N, R , Rbar, Cap, L)
% circuit_sparse generates a SISO RLC ladder model of prescribed dimensions
%
% The model follows the descriptioin in DOI:10.1080/00207170410001713448
% and the input parameters R, Rbar, Cap and L default to the values given
% there, when omitted. If also N is omitted the original 100 dimensional
% realization is created.
%
% The code is a sparse adaption of the original dense generator function by
% Serkan Gugercin.
%

%
% MIT License
%
% Copyright (c) 2026 The MORwiki Community
%
% Permission is hereby granted, free of charge, to any person
% obtaining a copy of this software and associated documentation files
% (the "Software"), to deal in the Software without restriction,
% including without limitation the rights to use, copy, modify, merge,
% publish, distribute, sublicense, and/or sell copies of the Software,
% and to permit persons to whom the Software is furnished to do so,
% subject to the following conditions:
%
% The above copyright notice and this permission notice shall be
% included in all copies or substantial portions of the Software.
%
% THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
% EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
% MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
% NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS
% BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN
% ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
% CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
% SOFTWARE.
%

if nargin < 1
N = 100;
end

if nargin < 2
% parameter values from DOI:10.1080/00207170410001713448
R = 0.1;
Rbar = 1;
Cap = 0.1;
L = 0.1;
end

z1 = 1 / L * ones(N, 1);
z2 = -1 / L * Rbar * R / (Rbar + R) * ones(N, 1);
z3 = -1 / L * Rbar / (Rbar + R) * ones(N, 1);

% Every second row needs to be adapted for the second ladder step
z3(2:2:N) = -1 / Cap;
z2(1:2:N) = -1 / Cap / (Rbar + R);
z1(2:2:N) = 1 / Cap * Rbar / (Rbar + R);

% start end end are exceptional
z2(1) = -1 / R / Cap; % sets A(1, 1)
z3(1) = -1 / Cap; % sets A(1, 2)
z2(N) = -Rbar / L; % sets A(N, N)
z1(N - 1) = 1 / L; % sets A(N, N-1)

A = spdiags([z1 z2 z3], -1:1, N, N);
B = [(1 / R / Cap); sparse(N - 1, 1)];
C = [(-1 / R) sparse(1, N - 1)];
D = 1 / R;

if exist('sparss', 'file')
sys_rlc = sparss(A, B, C, D);
else
sys_rlc = [];
end
</syntaxhighlight>
</div>

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

* For the benchmark itself and its data:
:: '''RLC Ladder (Gugercin/Antoulas 2004)'''. hosted at MORwiki - Model Order Reduction Wiki, 2026. http://modelreduction.org/index.php/RLC_Ladder_(Gugercin/Antoulas_2004)

@MISC{morwiki_steel,
author = <nowiki>{{The MORWiki Community}}</nowiki>,
title = {RLC Ladder (Gugercin/Antoulas 2004)}
howpublished = {hosted at {MORwiki} -- Model Order Reduction Wiki},
url = <nowiki>{https://modelreduction.org/morwiki/RLC_Ladder_(Gugercin/Antoulas_2004)}</nowiki>,
year = 2026
}

* For the background on the benchmark:

@Article{morGugA04,
author = {Gugercin, S. and Antoulas, A.~C.},
title = {A survey of model reduction by balanced truncation and some
new results},
journal = IntControl,
year = 2004,
volume = 77,
number = 8,
pages = {748--766},
doi = {10.1080/00207170410001713448}
}

==References==

<references>

<ref name="morGugA04"> S. Gugercin and A.C. Antoulas, [https://doi.org/10.1080/00207170410001713448 A survey of model reduction by balanced truncation and some new results], International Journal of Control,
77:8, 748-766, 2004.</ref>

</references>

File:Rlc ladder segment GugA04.png

2026-01-26T09:43:07Z

Saak: resemblance of Figure 1a from the paper, depicting one ladder section.

== Summary ==
resemblance of Figure 1a from the paper, depicting one ladder section.

Mass-Spring-Damper

2026-01-23T17:26:10Z

Saak: /* Data */

{{preliminary}} 

[[Category:benchmark]]
[[Category:nonlinear]]
[[Category:ODE]]
[[Category:time invariant]]
[[Category:first differential order]]
[[Category:second differential order]]
[[Category:Procedural]]
[[Category:SISO]]

==Description: Mass-Spring-Damper System==

This benchmark is a generalization of the nonlinear [[wikipedia:Mass-spring-damper_model|mass-spring-damper]] system presented in <ref name="kawano15"/>,
which is concerned with modeling the a mechanical systems consisting of chained masses, linear and nonlinear springs, and dampers.
The underlying mathematical model is a second order system:
:<math>
\begin{align}
M \ddot{x}(t) + D \dot{x}(t) + K x(t) + f(x(t)) &= B u(t), \\
y(t) &= C x(t).
\end{align}
</math>

===First Order Representation===

The second order system can be represented as a first order system as follows:

:<math>
\begin{align}
\begin{pmatrix} 1 & 0 \\ 0 & M \end{pmatrix} \begin{pmatrix} \dot{p} \\ \dot{v} \end{pmatrix} &=
\begin{pmatrix} 0 & 1 \\ K & D \end{pmatrix} \begin{pmatrix} p \\ v \end{pmatrix} +
\begin{pmatrix} 0 \\ f_p(p) \end{pmatrix} + \begin{pmatrix} 0 \\ B_v \end{pmatrix} \\
y &= \begin{pmatrix} C_p & 0 \end{pmatrix} \begin{pmatrix} p \\ v \end{pmatrix}
\end{align}
</math>

with the components:

:<math>
M = m \begin{pmatrix} 1 \\ & \ddots \end{pmatrix}, \quad
K_0 = k_l \begin{pmatrix} -2 & 1 \\ 1 & -2 & \ddots \\ & \ddots & \ddots \end{pmatrix}, \quad
D = d \begin{pmatrix} -2 & 1 \\ 1 & -2 & \ddots \\ & \ddots & \ddots \end{pmatrix}, \quad
B_v = \begin{pmatrix} 0 \\ \vdots \\ 0 \\ 1 \end{pmatrix}, \quad
C_p = \begin{pmatrix} 0 & \dots & 0 & 1 \end{pmatrix},
</math>

and the nonlinear term:

:<math>
f_p(p) = -k_n \Big( \begin{pmatrix} 1 & -1 \\ & \ddots & \ddots \end{pmatrix} p \Big)^3 -k_n \Big( \begin{pmatrix} 1 \\ -1 & \ddots \\ & \ddots \end{pmatrix} p \Big)^3
</math>

and thus yielding the classic first order components:

:<math>
E = \begin{pmatrix} 1 & 0 \\ 0 & M \end{pmatrix}, \quad
A = \begin{pmatrix} 0 & 1 \\ K & D \end{pmatrix}, \quad
B = \begin{pmatrix} 0 \\ B_v \end{pmatrix}, \quad
C = \begin{pmatrix} C_p & 0 \end{pmatrix}.
</math>

The parameters for the mass <math>m</math>, linear spring constant <math>k_l</math>, nonlinear spring constant <math>k_n</math>, and damping <math>d</math> are chosen in <ref name="kawano15"/> as <math>m=1</math>, <math>k_l=1</math>, <math>k_n=2</math>, and <math>d=1</math>.

==Data==

The following Matlab code assembles the above described <math>E</math>, <math>A</math>, <math>B</math> and <math>C</math> parameter dependent matrices and the function <math>f</math> for a given number of subsystems <math>N</math>.

<div class="thumbinner" style="width:540px;text-align:left;">
<syntaxhighlight lang="matlab">
function [E,A,B,C,f] = msd(N)

U = speye(N); % Sparse unit matrix
T = gallery('tridiag',N,-1,2,-1); % Sparse tridiagonal matrix
H = gallery('tridiag',N,-1,1,0); % Sparse transport matrix
Z = sparse(N,N); % Sparse all zero matrix
z = sparse(N,1); % Sparse all zero vector

E = @(m) [U,Z;Z,m*U]; % Handle to parametric E matrix
A = @(kl,d) [Z,U;kl*T,d*T]; % Handle to parametric A matrix
B = sparse(2*N,1,1,2*N,1);
C = sparse(N,1,1,2*N,1);
f = @(x,kn) [z;-kn*( (H'*x(N+1:end)).^3 - (H*x(N+1:end)).^3)];
end
</syntaxhighlight>
</div>

==Dimensions==

System structure:

:<math>
\begin{array}{rcl}
E(m) \dot{x}(t) &=& A(k_l,d)x(t) + f(x(t);k_n) + Bu(t) \\
y(t) &=& Cx(t)
\end{array}
</math>

System dimensions:

<math>E \in \mathbb{R}^{2N \times 2N}</math>,
<math>A \in \mathbb{R}^{2N \times 2N}</math>,
<math>B \in \mathbb{R}^{2N \times 1}</math>,
<math>C \in \mathbb{R}^{1 \times 2N}</math>.

==Citation==

To cite this benchmark, use the following references:

* For the benchmark itself and its data:
:: The MORwiki Community, '''Mass-Spring-Damper System'''. MORwiki - Model Order Reduction Wiki, 2018. http://modelreduction.org/index.php/Mass-Spring-Damper

@MISC{morwiki_msd,
author = <nowiki>{{The MORwiki Community}}</nowiki>,
title = {Mass-Spring-Damper System},
howpublished = {hosted at {MORwiki} -- Model Order Reduction Wiki},
url = <nowiki>{https://modelreduction.org/morwiki/Mass-Spring-Damper}</nowiki>,
year = 2018
}

* For the background on the benchmark:

@INPROCEEDINGS{morKawS15,
title = {Model Reduction by Generalized Differential Balancing},
author = {Y. Kawano and J.M.A. Scherpen},
booktitle = {Mathematical Control Theory I: Nonlinear and Hybrid Control Systems},
series = {Lecture Notes in Control and Information Sciences},
volume = {461},
pages = {349--362},
year = {2015},
doi = {10.1007/978-3-319-20988-3}
}

==References==

<references>

<ref name="kawano15">Y. Kawano and J.M.A. Scherpen, [https://doi.org/10.1007/978-3-319-20988-3_19 Model Reduction by Generalized Differential Balancing], In: Mathematical Control Theory I: Nonlinear and Hybrid Control Systems, Lecture Notes in Control and Information Sciences 461: 349--362, 2015.</ref>

</references>

RLC Ladder (Gugercin/Antoulas 2004)

2026-01-23T17:17:20Z

Saak: Created page with "{{preliminary}}  Category:benchmark Category:SISO {{Infobox |Title = RCL Circuit Equations |Benchmark ID = * rlc_ladder_GA_n?m1q1..."

{{preliminary}} 

[[Category:benchmark]]
[[Category:SISO]]

{{Infobox
|Title = RCL Circuit Equations
|Benchmark ID =
* rlc_ladder_GA_n?m1q1
|Category = morwiki
|System-Class = LTI-FOS
|nstates =
* arbitrary
|ninputs =
* 1
|noutputs =
* 1
|nparameters = 0
|components = A, B, C, D
|License = MIT
|Creator = [[User:Gugercin]]
|Editor =
* [[User:Saak]]
|Zenodo-link = NA
}}

==Description==
This model represents an electic circuit made of a cascade of interconnected sections. Each section consists of a simple setup as depicted in Figure 1. The input is the voltage V applied to the first section; the output is the current I of the first section.

:<math>
\begin{align}
\dot x(t) &= A x(t) + B u(t), \\
y(t) &= C x(t) + D u(t), \\
x(0) &= x_0,
\end{align}
</math>

with <math>t>0</math>.

==Origin==
This model was used in the numerical experiments section of <ref name="morGugA04"/>.

==Data==
The following Matlab code assembles the above described <math>A</math>, <math>B</math>, <math>C</math>, and <math>D</math>, matrices of requested dimensions. The input parameters R, Rbar, Cap and L represent the two resistances, the capacitance and the inductivity of each section of the circuit, as depicted in Figure 1. They default to the values from <ref name="morGugA04"/>, when omitted.

<div class="thumbinner" style="width:680px;text-align:left;">
<syntaxhighlight lang="matlab">
function [A, B, C, D, sys_rlc] = circuit_sparse(N, R , Rbar, Cap, L)
% circuit_sparse generates a SISO RLC ladder model of prescribed dimensions
%
% The model follows the descriptioin in DOI:10.1080/00207170410001713448
% and the input parameters R, Rbar, Cap and L default to the values given
% there, when omitted. If also N is omitted the original 100 dimensional
% realization is created.
%
% The code is a sparse adaption of the original dense generator function by
% Serkan Gugercin.
%

%
% MIT License
%
% Copyright (c) 2026 The MORwiki Community
%
% Permission is hereby granted, free of charge, to any person
% obtaining a copy of this software and associated documentation files
% (the "Software"), to deal in the Software without restriction,
% including without limitation the rights to use, copy, modify, merge,
% publish, distribute, sublicense, and/or sell copies of the Software,
% and to permit persons to whom the Software is furnished to do so,
% subject to the following conditions:
%
% The above copyright notice and this permission notice shall be
% included in all copies or substantial portions of the Software.
%
% THE SOFTWARE IS PROVIDED "AS IS", WITHOUT WARRANTY OF ANY KIND,
% EXPRESS OR IMPLIED, INCLUDING BUT NOT LIMITED TO THE WARRANTIES OF
% MERCHANTABILITY, FITNESS FOR A PARTICULAR PURPOSE AND
% NONINFRINGEMENT. IN NO EVENT SHALL THE AUTHORS OR COPYRIGHT HOLDERS
% BE LIABLE FOR ANY CLAIM, DAMAGES OR OTHER LIABILITY, WHETHER IN AN
% ACTION OF CONTRACT, TORT OR OTHERWISE, ARISING FROM, OUT OF OR IN
% CONNECTION WITH THE SOFTWARE OR THE USE OR OTHER DEALINGS IN THE
% SOFTWARE.
%

if nargin < 1
N = 100;
end

if nargin < 2
% parameter values from DOI:10.1080/00207170410001713448
R = 0.1;
Rbar = 1;
Cap = 0.1;
L = 0.1;
end

z1 = 1 / L * ones(N, 1);
z2 = -1 / L * Rbar * R / (Rbar + R) * ones(N, 1);
z3 = -1 / L * Rbar / (Rbar + R) * ones(N, 1);

% Every second row needs to be adapted for the second ladder step
z3(2:2:N) = -1 / Cap;
z2(1:2:N) = -1 / Cap / (Rbar + R);
z1(2:2:N) = 1 / Cap * Rbar / (Rbar + R);

% start end end are exceptional
z2(1) = -1 / R / Cap; % sets A(1, 1)
z3(1) = -1 / Cap; % sets A(1, 2)
z2(N) = -Rbar / L; % sets A(N, N)
z1(N - 1) = 1 / L; % sets A(N, N-1)

A = spdiags([z1 z2 z3], -1:1, N, N);
B = [(1 / R / Cap); sparse(N - 1, 1)];
C = [(-1 / R) sparse(1, N - 1)];
D = 1 / R;

if exist('sparss', 'file')
sys_rlc = sparss(A, B, C, D);
else
sys_rlc = [];
end
</syntaxhighlight>
</div>

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

* For the benchmark itself and its data:
:: '''RLC Ladder (Gugercin/Antoulas 2004)'''. hosted at MORwiki - Model Order Reduction Wiki, 2026. http://modelreduction.org/index.php/RLC_Ladder_(Gugercin/Antoulas_2004)

@MISC{morwiki_steel,
author = <nowiki>{{The MORWiki Community}}</nowiki>,
title = {RLC Ladder (Gugercin/Antoulas 2004)}
howpublished = {hosted at {MORwiki} -- Model Order Reduction Wiki},
url = <nowiki>{https://modelreduction.org/morwiki/RLC_Ladder_(Gugercin/Antoulas_2004)}</nowiki>,
year = 2026
}

* For the background on the benchmark:

@Article{morGugA04,
author = {Gugercin, S. and Antoulas, A.~C.},
title = {A survey of model reduction by balanced truncation and some
new results},
journal = IntControl,
year = 2004,
volume = 77,
number = 8,
pages = {748--766},
doi = {10.1080/00207170410001713448}
}

==References==

<references>

<ref name="morGugA04"> S. Gugercin and A.C. Antoulas, [https://doi.org/10.1080/00207170410001713448 A survey of model reduction by balanced truncation and some new results], International Journal of Control,
77:8, 748-766, 2004.</ref>

</references>

RCL Circuit Equations

2026-01-23T16:07:56Z

Saak:

[[Category:benchmark]]
[[Category:Oberwolfach]]
[[Category:SISO]]
[[Category:Differential_algebraic_system]]

{{Infobox
|Title = RCL Circuit Equations
|Benchmark ID =
* rclCircuitEquations_n1841m16q16
* rclCircuitEquations_n306m2q2
|Category = oberwolfach
|System-Class = LTI-FOS
|nstates =
* 1841
* 306
|ninputs =
* 16
* 2
|noutputs =
* 16
* 2
|nparameters = 0
|components = A, B, C, E
|License = NA
|Creator = [[User:Himpe]]
|Editor =
* [[User:Himpe]]
|Zenodo-link = NA
}}

==Description==
These benchmarks 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>{https://modelreduction.org/morwiki/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>

PyMOR

2026-01-12T11:06:49Z

Saak:

[[Category:Software]]
[[Category:Python]]

== Synopsis ==

[https://pymor.org pyMOR] is a [https://opensource.org/licenses/BSD-2-Clause BSD-licensed] software library for building model order reduction applications in the [[:Wikipedia:Python_(programming_language)|Python programming language]].
All algorithms in '''pyMOR''' are formulated in terms of abstract interfaces, allowing generic implementations to work with different backends, from NumPy/SciPy to external partial differential equation solver packages.

== Features ==

Currently, the following model reduction algorithms are provided by '''pyMOR''':
* A generic reduction routine for projection of arbitrary high-dimensional discretizations onto reduced spaces, preserving (possibly nested) affine decompositions of operators and functionals for efficient offline/online decomposition.
* Efficient error estimation for linear affinely decomposed problems.
* Empirical interpolation of arbitrary operators (with efficient evaluation of projected interpolated operators if the operator supports restriction to selected degrees of freedom).
* Parallel adaptive greedy and POD algorithms for reduced space construction.
* Empirical-Interpolation-Greedy and DEIM algorithms for generation of interpolation data for empirical operator interpolation.
* Balanced-based and interpolation-based reduction methods for first-order, second-order, and port-Hamiltonian linear time-invariant systems.
* Model order reduction using artificial neural networks.
* Data-driven model order reduction with Dynamic Mode Decomposition, Loewner matrices, Eigensystem Realization, and parametric AAA.
* Data-driven model order reduction using machine learning methods such as artificial neural networks or the Vectorial Kernel Orthogonal Greedy Algorithm (VKOGA).
* [[:Wikipedia:Gram_schmidt|Gram-Schmidt algorithm]] supporting re-orthogonalization for improved numerical accuracy.
* Time-stepping and Newton algorithms, as well as generic iterative linear solvers.
* Low-rank alternating direction implicit (LR ADI) method for large-scale Lyapunov equations and bindings for matric equations solvers in [https://www.slicot.org SLICOT] (via [https://github.com/python-control/Slycot slycot]) and [https://www.mpi-magdeburg.mpg.de/projects/mess Py-M.E.S.S].
* Eigenvalue/pole computation using the implicitly restarted Arnoldi method and the subspace accelerated dominant pole (SAMDP) algorithm.
* Modal truncation for linear time-invariant systems.
* Time-dependent parameters.

All these algorithms are formulated in terms of abstract interfaces for seamless integration with external high-dimensional PDE solvers.
Bindings for the following PDE solver libraries are available:
* [https://www.dealii.org/ deal.II]
* [https://dune-project.org/ DUNE]
* [https://fenicsproject.org/ FEniCS]
* [https://fenicsproject.org/ FEniCSx]
* [https://sourceforge.net/projects/ngsolve/ NGSolve]
* [https://scikit-fem.readthedocs.io/ scikit-fem] (experimental)

Pure Python implementations of discretizations using the [https://numpy.org NumPy]/[https://scipy.org SciPy] scientific computing stack are implemented to provide an easy-to-use sandbox for experimentation with new model reduction approaches. '''pyMOR''' offers:
* Structured 1D and 2D grids, as well as an experimental Gmsh-based grid, implementing the same abstract grid interface.
* [[:Wikipedia:Finite_element|Finite element]] and [[:Wikipedia:Finite_volume|finite volume]] operators based on this interface.
* SciPy/[http://crd-legacy.lbl.gov/~xiaoye/SuperLU SuperLU] based iterative and direct solvers for sparse systems.
* [[:Wikipedia:Opengl|OpenGL]], [https://matplotlib.org matplotlib], and [https://github.com/K3D-tools/K3D-jupyter k3d] based visualizations of solutions.

== References ==
* M. Ohlberger, S. Rave, S. Schmidt, S. Zhang. "[https://doi.org/10.1007/978-3-319-05591-6_69 A Model Reduction Framework for Efficient Simulation of Li-Ion Batteries]". Springer Proceedings in Mathematics & Statistics Vol. 78: Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems, Berlin, June 2014.
* R. Milk, S. Rave, F. Schindler. "[https://doi.org/10.1137/15M1026614 pyMOR - Generic Algorithms and Interfaces for Model Order Reduction]". SIAM Journal on Scientific Computing 38(5): S194--S216, 2016.

== Links ==
* Official [https://pymor.org website],
* Development of '''pyMOR''' can be tracked on [https://github.com/pymor/pymor GitHub],
* Online [https://docs.pymor.org documentation].

== Contact ==
For assistance with, and contributions to '''pyMOR''', the developers can be contacted via [https://github.com/pymor/pymor/discussions GitHub discussions].

Comparison of Software

2026-01-12T11:04:13Z

Saak:

[[Category:software]]

The following table provides a '''Comparison of Software''' for the model reduction software projects listed in the MORwiki.
For more information on MOR software (especially packages listed in the MORwiki), see <ref name="haasdonk21"/>.

{| class="wikitable sortable" style="text-align: center; width: auto;"
|-
! Name
! Linear
! Nonlinear
! First Order
! Second Order
! Parametric
! DAE
! Dense
! Sparse
!
! Latest Version
! License
! Language
|-
! [[DPA|DPA]]
| Yes
| No
| Yes
| Yes
| No
| Yes
| (Yes)
| Yes
|
| ?
| ?
| Matlab
|-
! [[Emgr|emgr]]
| Yes
| Yes
| Yes
| Yes
| Yes
| (Yes)
| Yes
| (Yes)
|
| 5.99 (04.2022)
| [https://spdx.org/licenses/BSD-2-Clause.html BSD-2-Clause]
| Matlab
|-
! [[EZyRB|EZyRB]]
| ?
| ?
| ?
| ?
| ?
| ?
| ?
| ?
|
| 1.1 (10.2020)
| [https://spdx.org/licenses/MIT.html MIT]
| Python
|-
! [[ITHACA-FV]]
| Yes
| Yes
| Yes
| No
| Yes
| No
| Yes
| Yes
|
| 2.1 (02.2019)
| [https://spdx.org/licenses/LGPL-3.0.html LGPL-3.0]
| C++
|-
! [[ITHACA-SEM]]
| (Yes)
| (Yes)
| Yes
| No
| Yes
| No
| Yes
| Yes
|
| (02.2019)
| [https://spdx.org/licenses/MIT.html MIT]
| C++
|-
! [[MESS]]
| Yes
| No
| Yes
| Yes
| No
| Yes
| (Yes)
| Yes
|
| 3.1 (Matlab), 1.0 (C, Python, Julia)
| [https://spdx.org/licenses/BSD-2-Clause.html BSD-2-Clause] (Matlab). [https://spdx.org/licenses/GPL-2.0.html GPL-2.0] (C, Python, Julia)
| C, Matlab, Python, Julia
|-
! [[MOR Toolbox]]
| Yes
| (on-going)
| Yes
| (Yes)
| No
| Yes
| Yes
| Yes
|
| 1.1 (Dec. 2020)
| [http://mordigitalsystems.fr/en/ MOR Digital Systems]
| Matlab
|-
! [[MOREMBS]]
| Yes
| No
| Yes
| Yes
| (Yes)
| Yes
| Yes
| Yes
|
| ?
| ?
| C++, Matlab
|-
! [[MORLAB]]
| Yes
| No
| Yes
| Yes
| No
| Yes
| Yes
| (Yes)
|
| 6.0 (09.2023)
| [https://spdx.org/licenses/BSD-2-Clause.html BSD-2-Clause]
| Matlab
|-
! [[MORPACK]]
| Yes
| No
| Yes
| Yes
| No
| Yes
| Yes
| Yes
|
| v3.0.099 (07.2015)
| ?
| Matlab
|-
! [https://www.mw.tum.de/rt/forschung/modellordnungsreduktion/software/psssmor/ psssMOR]
| Yes
| No
| Yes
| No
| Yes
| (No)
| Yes
| Yes
|
| 1.00 (09.2017)
| [https://spdx.org/licenses/BSD-2-Clause.html BSD-2-Clause]
| Matlab
|-
! [[PyDMD|PyDMD]]
| ?
| ?
| ?
| ?
| ?
| ?
| ?
| ?
|
| 0.3 (07.2020)
| [https://spdx.org/licenses/MIT.html MIT]
| Python
|-
! [[PyMOR|pyMOR]]
| Yes
| Yes
| Yes
| Yes
| Yes
| (No)
| Yes
| Yes
|
| 2025.2.0 (01.2026)
| [https://spdx.org/licenses/BSD-2-Clause.html BSD-2-Clause]
| Python
|-
! [[sssMOR]]
| Yes
| No
| Yes
| (No)
| (Yes)
| (No)
| Yes
| Yes
|
| 2.00 (09.2017)
| [https://spdx.org/licenses/BSD-2-Clause.html BSD-2-Clause]
| Matlab
|-
! [[RBmatlab]]
| Yes
| Yes
| Yes
| Yes
| Yes
| No
| Yes
| Yes
|
| 1.16.09 (09.2016)
| [https://spdx.org/licenses/AFL-3.0.html AFL-3.0]
| Matlab
|-
! [[RBniCS]]
| Yes
| Yes
| Yes
| No
| Yes
| No
| Yes
| Yes
|
| 0.1.0 (06.2019)
| [https://spdx.org/licenses/LGPL-3.0.html LGPL-3.0]
| Python
|}

----
See also: [[Further Software]]

References:
<references>

<ref name="haasdonk21">B. Haasdonk "[https://doi.org/10.1515/9783110499001-013 MOR Software]", Model Order Reduction, Volume 3: Applications: 431--460, 2021.</ref>

</references>

Comparison of Software

2025-09-10T12:48:17Z

Saak:

[[Category:software]]

The following table provides a '''Comparison of Software''' for the model reduction software projects listed in the MORwiki.
For more information on MOR software (especially packages listed in the MORwiki), see <ref name="haasdonk21"/>.

{| class="wikitable sortable" style="text-align: center; width: auto;"
|-
! Name
! Linear
! Nonlinear
! First Order
! Second Order
! Parametric
! DAE
! Dense
! Sparse
!
! Latest Version
! License
! Language
|-
! [[DPA|DPA]]
| Yes
| No
| Yes
| Yes
| No
| Yes
| (Yes)
| Yes
|
| ?
| ?
| Matlab
|-
! [[Emgr|emgr]]
| Yes
| Yes
| Yes
| Yes
| Yes
| (Yes)
| Yes
| (Yes)
|
| 5.99 (04.2022)
| [https://spdx.org/licenses/BSD-2-Clause.html BSD-2-Clause]
| Matlab
|-
! [[EZyRB|EZyRB]]
| ?
| ?
| ?
| ?
| ?
| ?
| ?
| ?
|
| 1.1 (10.2020)
| [https://spdx.org/licenses/MIT.html MIT]
| Python
|-
! [[ITHACA-FV]]
| Yes
| Yes
| Yes
| No
| Yes
| No
| Yes
| Yes
|
| 2.1 (02.2019)
| [https://spdx.org/licenses/LGPL-3.0.html LGPL-3.0]
| C++
|-
! [[ITHACA-SEM]]
| (Yes)
| (Yes)
| Yes
| No
| Yes
| No
| Yes
| Yes
|
| (02.2019)
| [https://spdx.org/licenses/MIT.html MIT]
| C++
|-
! [[MESS]]
| Yes
| No
| Yes
| Yes
| No
| Yes
| (Yes)
| Yes
|
| 3.1 (Matlab), 1.0 (C, Python, Julia)
| [https://spdx.org/licenses/BSD-2-Clause.html BSD-2-Clause] (Matlab). [https://spdx.org/licenses/GPL-2.0.html GPL-2.0] (C, Python, Julia)
| C, Matlab, Python, Julia
|-
! [[MOR Toolbox]]
| Yes
| (on-going)
| Yes
| (Yes)
| No
| Yes
| Yes
| Yes
|
| 1.1 (Dec. 2020)
| [http://mordigitalsystems.fr/en/ MOR Digital Systems]
| Matlab
|-
! [[MOREMBS]]
| Yes
| No
| Yes
| Yes
| (Yes)
| Yes
| Yes
| Yes
|
| ?
| ?
| C++, Matlab
|-
! [[MORLAB]]
| Yes
| No
| Yes
| Yes
| No
| Yes
| Yes
| (Yes)
|
| 6.0 (09.2023)
| [https://spdx.org/licenses/BSD-2-Clause.html BSD-2-Clause]
| Matlab
|-
! [[MORPACK]]
| Yes
| No
| Yes
| Yes
| No
| Yes
| Yes
| Yes
|
| v3.0.099 (07.2015)
| ?
| Matlab
|-
! [https://www.mw.tum.de/rt/forschung/modellordnungsreduktion/software/psssmor/ psssMOR]
| Yes
| No
| Yes
| No
| Yes
| (No)
| Yes
| Yes
|
| 1.00 (09.2017)
| [https://spdx.org/licenses/BSD-2-Clause.html BSD-2-Clause]
| Matlab
|-
! [[PyDMD|PyDMD]]
| ?
| ?
| ?
| ?
| ?
| ?
| ?
| ?
|
| 0.3 (07.2020)
| [https://spdx.org/licenses/MIT.html MIT]
| Python
|-
! [[PyMOR|pyMOR]]
| Yes
| Yes
| Yes
| Yes
| Yes
| (No)
| Yes
| Yes
|
| 2025.1.2 (09.2025)
| [https://spdx.org/licenses/BSD-2-Clause.html BSD-2-Clause]
| Python
|-
! [[sssMOR]]
| Yes
| No
| Yes
| (No)
| (Yes)
| (No)
| Yes
| Yes
|
| 2.00 (09.2017)
| [https://spdx.org/licenses/BSD-2-Clause.html BSD-2-Clause]
| Matlab
|-
! [[RBmatlab]]
| Yes
| Yes
| Yes
| Yes
| Yes
| No
| Yes
| Yes
|
| 1.16.09 (09.2016)
| [https://spdx.org/licenses/AFL-3.0.html AFL-3.0]
| Matlab
|-
! [[RBniCS]]
| Yes
| Yes
| Yes
| No
| Yes
| No
| Yes
| Yes
|
| 0.1.0 (06.2019)
| [https://spdx.org/licenses/LGPL-3.0.html LGPL-3.0]
| Python
|}

----
See also: [[Further Software]]

References:
<references>

<ref name="haasdonk21">B. Haasdonk "[https://doi.org/10.1515/9783110499001-013 MOR Software]", Model Order Reduction, Volume 3: Applications: 431--460, 2021.</ref>

</references>

Comparison of Software

2025-09-05T11:59:14Z

Saak:

[[Category:software]]

The following table provides a '''Comparison of Software''' for the model reduction software projects listed in the MORwiki.
For more information on MOR software (especially packages listed in the MORwiki), see <ref name="haasdonk21"/>.

{| class="wikitable sortable" style="text-align: center; width: auto;"
|-
! Name
! Linear
! Nonlinear
! First Order
! Second Order
! Parametric
! DAE
! Dense
! Sparse
!
! Latest Version
! License
! Language
|-
! [[DPA|DPA]]
| Yes
| No
| Yes
| Yes
| No
| Yes
| (Yes)
| Yes
|
| ?
| ?
| Matlab
|-
! [[Emgr|emgr]]
| Yes
| Yes
| Yes
| Yes
| Yes
| (Yes)
| Yes
| (Yes)
|
| 5.99 (04.2022)
| [https://spdx.org/licenses/BSD-2-Clause.html BSD-2-Clause]
| Matlab
|-
! [[EZyRB|EZyRB]]
| ?
| ?
| ?
| ?
| ?
| ?
| ?
| ?
|
| 1.1 (10.2020)
| [https://spdx.org/licenses/MIT.html MIT]
| Python
|-
! [[ITHACA-FV]]
| Yes
| Yes
| Yes
| No
| Yes
| No
| Yes
| Yes
|
| 2.1 (02.2019)
| [https://spdx.org/licenses/LGPL-3.0.html LGPL-3.0]
| C++
|-
! [[ITHACA-SEM]]
| (Yes)
| (Yes)
| Yes
| No
| Yes
| No
| Yes
| Yes
|
| (02.2019)
| [https://spdx.org/licenses/MIT.html MIT]
| C++
|-
! [[MESS]]
| Yes
| No
| Yes
| Yes
| No
| Yes
| (Yes)
| Yes
|
| 3.1 (Matlab), 1.0 (C, Python, Julia)
| [https://spdx.org/licenses/BSD-2-Clause.html BSD-2-Clause] (Matlab). [https://spdx.org/licenses/GPL-2.0.html GPL-2.0] (C, Python, Julia)
| C, Matlab, Python, Julia
|-
! [[MOR Toolbox]]
| Yes
| (on-going)
| Yes
| (Yes)
| No
| Yes
| Yes
| Yes
|
| 1.1 (Dec. 2020)
| [http://mordigitalsystems.fr/en/ MOR Digital Systems]
| Matlab
|-
! [[MOREMBS]]
| Yes
| No
| Yes
| Yes
| (Yes)
| Yes
| Yes
| Yes
|
| ?
| ?
| C++, Matlab
|-
! [[MORLAB]]
| Yes
| No
| Yes
| Yes
| No
| Yes
| Yes
| (Yes)
|
| 6.0 (09.2023)
| [https://spdx.org/licenses/BSD-2-Clause.html BSD-2-Clause]
| Matlab
|-
! [[MORPACK]]
| Yes
| No
| Yes
| Yes
| No
| Yes
| Yes
| Yes
|
| v3.0.099 (07.2015)
| ?
| Matlab
|-
! [https://www.mw.tum.de/rt/forschung/modellordnungsreduktion/software/psssmor/ psssMOR]
| Yes
| No
| Yes
| No
| Yes
| (No)
| Yes
| Yes
|
| 1.00 (09.2017)
| [https://spdx.org/licenses/BSD-2-Clause.html BSD-2-Clause]
| Matlab
|-
! [[PyDMD|PyDMD]]
| ?
| ?
| ?
| ?
| ?
| ?
| ?
| ?
|
| 0.3 (07.2020)
| [https://spdx.org/licenses/MIT.html MIT]
| Python
|-
! [[PyMOR|pyMOR]]
| Yes
| Yes
| Yes
| Yes
| Yes
| (No)
| Yes
| Yes
|
| 2025.1.1 (09.2025)
| [https://spdx.org/licenses/BSD-2-Clause.html BSD-2-Clause]
| Python
|-
! [[sssMOR]]
| Yes
| No
| Yes
| (No)
| (Yes)
| (No)
| Yes
| Yes
|
| 2.00 (09.2017)
| [https://spdx.org/licenses/BSD-2-Clause.html BSD-2-Clause]
| Matlab
|-
! [[RBmatlab]]
| Yes
| Yes
| Yes
| Yes
| Yes
| No
| Yes
| Yes
|
| 1.16.09 (09.2016)
| [https://spdx.org/licenses/AFL-3.0.html AFL-3.0]
| Matlab
|-
! [[RBniCS]]
| Yes
| Yes
| Yes
| No
| Yes
| No
| Yes
| Yes
|
| 0.1.0 (06.2019)
| [https://spdx.org/licenses/LGPL-3.0.html LGPL-3.0]
| Python
|}

----
See also: [[Further Software]]

References:
<references>

<ref name="haasdonk21">B. Haasdonk "[https://doi.org/10.1515/9783110499001-013 MOR Software]", Model Order Reduction, Volume 3: Applications: 431--460, 2021.</ref>

</references>

Comparison of Software

2025-09-05T11:57:54Z

Saak:

[[Category:software]]

The following table provides a '''Comparison of Software''' for the model reduction software projects listed in the MORwiki.
For more information on MOR software (especially packages listed in the MORwiki), see <ref name="haasdonk21"/>.

{| class="wikitable sortable" style="text-align: center; width: auto;"
|-
! Name
! Linear
! Nonlinear
! First Order
! Second Order
! Parametric
! DAE
! Dense
! Sparse
!
! Latest Version
! License
! Language
|-
! [[DPA|DPA]]
| Yes
| No
| Yes
| Yes
| No
| Yes
| (Yes)
| Yes
|
| ?
| ?
| Matlab
|-
! [[Emgr|emgr]]
| Yes
| Yes
| Yes
| Yes
| Yes
| (Yes)
| Yes
| (Yes)
|
| 5.99 (04.2022)
| [https://spdx.org/licenses/BSD-2-Clause.html BSD-2-Clause]
| Matlab
|-
! [[EZyRB|EZyRB]]
| ?
| ?
| ?
| ?
| ?
| ?
| ?
| ?
|
| 1.1 (10.2020)
| [https://spdx.org/licenses/MIT.html MIT]
| Python
|-
! [[ITHACA-FV]]
| Yes
| Yes
| Yes
| No
| Yes
| No
| Yes
| Yes
|
| 2.1 (02.2019)
| [https://spdx.org/licenses/LGPL-3.0.html LGPL-3.0]
| C++
|-
! [[ITHACA-SEM]]
| (Yes)
| (Yes)
| Yes
| No
| Yes
| No
| Yes
| Yes
|
| (02.2019)
| [https://spdx.org/licenses/MIT.html MIT]
| C++
|-
! [[MESS]]
| Yes
| No
| Yes
| Yes
| No
| Yes
| (Yes)
| Yes
|
| 2.2 (Matlab), 1.0 (C, Python, Julia)
| [https://spdx.org/licenses/BSD-2-Clause.html BSD-2-Clause] (Matlab). [https://spdx.org/licenses/GPL-2.0.html GPL-2.0] (C, Python, Julia)
| C, Matlab, Python, Julia
|-
! [[MOR Toolbox]]
| Yes
| (on-going)
| Yes
| (Yes)
| No
| Yes
| Yes
| Yes
|
| 1.1 (Dec. 2020)
| [http://mordigitalsystems.fr/en/ MOR Digital Systems]
| Matlab
|-
! [[MOREMBS]]
| Yes
| No
| Yes
| Yes
| (Yes)
| Yes
| Yes
| Yes
|
| ?
| ?
| C++, Matlab
|-
! [[MORLAB]]
| Yes
| No
| Yes
| Yes
| No
| Yes
| Yes
| (Yes)
|
| 6.0 (09.2023)
| [https://spdx.org/licenses/BSD-2-Clause.html BSD-2-Clause]
| Matlab
|-
! [[MORPACK]]
| Yes
| No
| Yes
| Yes
| No
| Yes
| Yes
| Yes
|
| v3.0.099 (07.2015)
| ?
| Matlab
|-
! [https://www.mw.tum.de/rt/forschung/modellordnungsreduktion/software/psssmor/ psssMOR]
| Yes
| No
| Yes
| No
| Yes
| (No)
| Yes
| Yes
|
| 1.00 (09.2017)
| [https://spdx.org/licenses/BSD-2-Clause.html BSD-2-Clause]
| Matlab
|-
! [[PyDMD|PyDMD]]
| ?
| ?
| ?
| ?
| ?
| ?
| ?
| ?
|
| 0.3 (07.2020)
| [https://spdx.org/licenses/MIT.html MIT]
| Python
|-
! [[PyMOR|pyMOR]]
| Yes
| Yes
| Yes
| Yes
| Yes
| (No)
| Yes
| Yes
|
| 2025.1.1 (09.2025)
| [https://spdx.org/licenses/BSD-2-Clause.html BSD-2-Clause]
| Python
|-
! [[sssMOR]]
| Yes
| No
| Yes
| (No)
| (Yes)
| (No)
| Yes
| Yes
|
| 2.00 (09.2017)
| [https://spdx.org/licenses/BSD-2-Clause.html BSD-2-Clause]
| Matlab
|-
! [[RBmatlab]]
| Yes
| Yes
| Yes
| Yes
| Yes
| No
| Yes
| Yes
|
| 1.16.09 (09.2016)
| [https://spdx.org/licenses/AFL-3.0.html AFL-3.0]
| Matlab
|-
! [[RBniCS]]
| Yes
| Yes
| Yes
| No
| Yes
| No
| Yes
| Yes
|
| 0.1.0 (06.2019)
| [https://spdx.org/licenses/LGPL-3.0.html LGPL-3.0]
| Python
|}

----
See also: [[Further Software]]

References:
<references>

<ref name="haasdonk21">B. Haasdonk "[https://doi.org/10.1515/9783110499001-013 MOR Software]", Model Order Reduction, Volume 3: Applications: 431--460, 2021.</ref>

</references>

Comparison of Software

2025-09-05T11:55:28Z

Saak:

[[Category:software]]

The following table provides a '''Comparison of Software''' for the model reduction software projects listed in the MORwiki.
For more information on MOR software (especially packages listed in the MORwiki), see <ref name="haasdonk21"/>.

{| class="wikitable sortable" style="text-align: center; width: auto;"
|-
! Name
! Linear
! Nonlinear
! First Order
! Second Order
! Parametric
! DAE
! Dense
! Sparse
!
! Latest Version
! License
! Language
|-
! [[DPA|DPA]]
| Yes
| No
| Yes
| Yes
| No
| Yes
| (Yes)
| Yes
|
| ?
| ?
| Matlab
|-
! [[Emgr|emgr]]
| Yes
| Yes
| Yes
| Yes
| Yes
| (Yes)
| Yes
| (Yes)
|
| 5.99 (04.2022)
| [https://spdx.org/licenses/BSD-2-Clause.html BSD-2-Clause]
| Matlab
|-
! [[EZyRB|EZyRB]]
| ?
| ?
| ?
| ?
| ?
| ?
| ?
| ?
|
| 1.1 (10.2020)
| [https://spdx.org/licenses/MIT.html MIT]
| Python
|-
! [[ITHACA-FV]]
| Yes
| Yes
| Yes
| No
| Yes
| No
| Yes
| Yes
|
| 2.1 (02.2019)
| [https://spdx.org/licenses/LGPL-3.0.html LGPL-3.0]
| C++
|-
! [[ITHACA-SEM]]
| (Yes)
| (Yes)
| Yes
| No
| Yes
| No
| Yes
| Yes
|
| (02.2019)
| [https://spdx.org/licenses/MIT.html MIT]
| C++
|-
! [[MESS]]
| Yes
| No
| Yes
| Yes
| No
| Yes
| (Yes)
| Yes
|
| 2.2 (Matlab), 1.0 (C, Python, Julia)
| [https://spdx.org/licenses/BSD-2-Clause.html BSD-2-Clause] (Matlab). [https://spdx.org/licenses/GPL-2.0.html GPL-2.0] (C, Python, Julia)
| C, Matlab, Python, Julia
|-
! [[MOR Toolbox]]
| Yes
| (on-going)
| Yes
| (Yes)
| No
| Yes
| Yes
| Yes
|
| 1.1 (Dec. 2020)
| [http://mordigitalsystems.fr/en/ MOR Digital Systems]
| Matlab
|-
! [[MOREMBS]]
| Yes
| No
| Yes
| Yes
| (Yes)
| Yes
| Yes
| Yes
|
| ?
| ?
| C++, Matlab
|-
! [[MORLAB]]
| Yes
| No
| Yes
| Yes
| No
| Yes
| Yes
| (Yes)
|
| 5.0 (08.2019)
| [https://spdx.org/licenses/AGPL-3.0.html AGPL-3.0]
| Matlab
|-
! [[MORPACK]]
| Yes
| No
| Yes
| Yes
| No
| Yes
| Yes
| Yes
|
| v3.0.099 (07.2015)
| ?
| Matlab
|-
! [https://www.mw.tum.de/rt/forschung/modellordnungsreduktion/software/psssmor/ psssMOR]
| Yes
| No
| Yes
| No
| Yes
| (No)
| Yes
| Yes
|
| 1.00 (09.2017)
| [https://spdx.org/licenses/BSD-2-Clause.html BSD-2-Clause]
| Matlab
|-
! [[PyDMD|PyDMD]]
| ?
| ?
| ?
| ?
| ?
| ?
| ?
| ?
|
| 0.3 (07.2020)
| [https://spdx.org/licenses/MIT.html MIT]
| Python
|-
! [[PyMOR|pyMOR]]
| Yes
| Yes
| Yes
| Yes
| Yes
| (No)
| Yes
| Yes
|
| 2025.1.1 (09.2025)
| [https://spdx.org/licenses/BSD-2-Clause.html BSD-2-Clause]
| Python
|-
! [[sssMOR]]
| Yes
| No
| Yes
| (No)
| (Yes)
| (No)
| Yes
| Yes
|
| 2.00 (09.2017)
| [https://spdx.org/licenses/BSD-2-Clause.html BSD-2-Clause]
| Matlab
|-
! [[RBmatlab]]
| Yes
| Yes
| Yes
| Yes
| Yes
| No
| Yes
| Yes
|
| 1.16.09 (09.2016)
| [https://spdx.org/licenses/AFL-3.0.html AFL-3.0]
| Matlab
|-
! [[RBniCS]]
| Yes
| Yes
| Yes
| No
| Yes
| No
| Yes
| Yes
|
| 0.1.0 (06.2019)
| [https://spdx.org/licenses/LGPL-3.0.html LGPL-3.0]
| Python
|}

----
See also: [[Further Software]]

References:
<references>

<ref name="haasdonk21">B. Haasdonk "[https://doi.org/10.1515/9783110499001-013 MOR Software]", Model Order Reduction, Volume 3: Applications: 431--460, 2021.</ref>

</references>

Convective Thermal Flow

2025-07-03T08:23:42Z

Saak:

[[Category:benchmark]]
[[Category:Oberwolfach]]
[[Category:linear]]
[[Category:time invariant]]
[[Category:first differential order]]
[[Category:MIMO]]
[[Category:sparse]]

{{Infobox
|Title = Convective Thermal Flow
|Benchmark ID =
* ctfChipCoolingv0_n20082m1q5
* ctfChipCoolingv01_n20082m1q5
* ctfFlowMeterv0_n9669m1q5
* ctfFlowMeterv05_n9669m1q5
|Category = oberwolfach
|System-Class = LTI-FOS
|nstates =
* 20082
* 20082
* 9669
* 9669
|ninputs = 1
|noutputs = 5
|nparameters = 0
|components = A, B, C, E
|License = NA
|Creator = C. Moosmann, E.B. Rudnyi, A. Greiner, J.G. Korvink
|Editor =
* [[User:Himpe]]
|Zenodo-link = NA
}}

==Description: Convective Thermal Flow Problems==
<figure id="fig1">[[File:Convection1.jpg|490px|thumb|right|Figure 1: Convective heat flow example: 2D anemometer model]]</figure>
<figure id="fig2">[[File:Convection2.jpg|490px|thumb|right|Figure 2: Convective heat flow example: 3D cooling structure]]</figure>

Many thermal problems require simulation of heat exchange between a solid body and a fluid flow.
The most elaborate approach to this problem is [[wikipedia:Computational_fluid_dynamics|computational fluid dynamics]] (CFD).
However, CFD is computationally expensive.
A popular solution is to exclude the flow completely from the computational domain and to use convection boundary conditions for the solid model.
However, caution has to be taken to select the [[wikipedia:Heat_transfer_coefficient|film coefficient]].

An intermediate level is to include a flow region with a given velocity profile that adds convective transport to the model.
Compared to convection boundary conditions this approach has the advantage that the film coefficient does not need to be specified and that information about the heat profile in the flow can be obtained.
A drawback of the method is the greatly increased number of elements needed to perform a physically valid simulation because the solution accuracy when employing upwind finite element schemes depends on the element size.
While this problem still is linear, due to the forced convection, the conductivity matrix changes from a symmetric matrix to an un-symmetric one.
So this problem type can be used as a benchmark for problems containing un-symmetric matrices.

Two different designs are tested: a 2D model of an [[Anemometer|anemometer]]-like structure mainly consisting of a tube and a small heat source (Fig. 1) <ref name="ernst2001"/>.
The solid model has been generated and meshed in [http://www.ansys.com ANSYS].
Triangular <tt>PLANE55</tt> elements have been used for meshing and discretizing by the finite element method, resulting in 19282 elements and 9710 nodes.
The second design is a 3D model of a chip cooled by forced convection (Fig. 2) <ref name="harper1997"/>.
In this case, the tetrahedral element type <tt>SOLID70</tt> was used, resulting in 107989 elements and 20542 nodes.
Since the implementation of the convective term in ANSYS does not allow defining the fluid speed on a per-element basis but on a per-region one, the flow profile has to be approximated by piece-wise step functions.
The approximation used for these benchmarks is shown in Fig. 1.

The Dirichlet boundary conditions are applied to the original system.
In both models, the reference temperature is set to <math>300 \, \text{K}</math>, and Dirichlet boundary conditions as well as initial conditions are set to <math>0</math> with respect to the reference.
The specified Dirichlet boundary conditions are in both cases the inlet of the fluid and the outer faces of the solids. Matrices are supplied for the symmetric case (fluid speed is zero; no convection), and the non-symmetric case (with forced convection).
Table 1 shows the output nodes specified for the two benchmarks, Table 2 links the filenames according to the different cases.

Practically, only a few nodes are considered quantities of interest.
Hence, a small subset of five nodes is selected as output nodes,
which are filtered from the discretized state by a linear transformation.

==Origin==

This benchmark is part of the '''Oberwolfach Benchmark Collection'''<ref name="korvink2005"/>; No. 38867, see <ref name="moosmann2005"/>.

==Data==

Matrices are in the [http://math.nist.gov/MatrixMarket/ Matrix Market] format.
The matrix name is used as an extension of the matrix file.
<tt>*.C.names</tt> contains a list of output names written consecutively.
The system matrices have been extracted from ANSYS models by means of [http://portal.uni-freiburg.de/imteksimulation/downloads/mor4fem mor4fem].

{| class="wikitable" style="margin: auto;"
|+ style="caption-side:bottom;"|''Table 1: Output nodes for the two models.''
|-
!Model
!Number
!Code
!Comment
|-
|Flow Meter
|1
|out1
|outlet position
|-
|
|2
|out2
|outlet position
|-
|
|3
|SenL
|left sensor position
|-
|
|4
|Heater
|within the heater
|-
|
|5
|SenR
|right sensor position
|-
|Cooling Structure
|1
|out1
|outlet position
|-
|
|2
|out2
|outlet position
|-
|
|3
|out3
|outlet position
|-
|
|4
|out4
|outlet position
|-
|
|5
|Heater
|within the heater
|}

{| class="wikitable" style="margin: auto;"
|+ style="caption-side:bottom;"|''Table 2: Provided files.''
|-
!Model
!Fluid Speed (m/s)
!Link
!Size
|-
|Flow Meter
|<math>0</math>
|[https://csc.mpi-magdeburg.mpg.de/mpcsc/MORWIKI/Oberwolfach/Convection-dim1e4-flow_meter_model_v0.tgz Convection-dim1e4-flow_meter_model_v0.tgz]
|649.4 kB
|-
|
|<math>0.5</math>
|[https://csc.mpi-magdeburg.mpg.de/mpcsc/MORWIKI/Oberwolfach/Convection-dim1e4-flow_meter_model_v0.5.tgz Convection-dim1e4-flow_meter_model_v0.5.tgz]
|757.8 kB
|-
|Cooling Structure
|<math>0</math>
|[https://csc.mpi-magdeburg.mpg.de/mpcsc/MORWIKI/Oberwolfach/Convection-dim1e4-chip_cooling_model_v0.tgz Convection-dim1e4-chip_cooling_model_v0.tgz]
|3.9 MB
|-
|
|<math>0.1</math>
|[https://csc.mpi-magdeburg.mpg.de/mpcsc/MORWIKI/Oberwolfach/Convection-dim1e4-chip_cooling_model_v0.1.tgz Convection-dim1e4-chip_cooling_model_v0.1.tgz]
|4.0 MB
|}

Further information on the models can be found in <ref name="moosmann2004"/>,
where model reduction by means of the [[wikipedia:Arnoldi_iteration|Arnoldi algorithm]] is also presented.

==Dimensions==

System structure:

:<math>
\begin{align}
E \dot{x}(t) &= A x(t) + B u(t) \\
y(t) &= C x(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 1}</math>,
<math>C \in \mathbb{R}^{5 \times n}</math>.

System variants:

<tt>flow_v0</tt>: <math>n = 9669</math>,
<tt>flow_v0.5</tt>: <math>n = 9669</math>,
<tt>chip_v0</tt>: <math>n = 20082</math>,
<tt>chip_v0.1</tt>: <math>n = 20082</math>.

==Citation==

To cite this benchmark, use the following references:

* For the benchmark itself and its data:
::The MORwiki Community, '''Convective Thermal Flow'''. MORwiki - Model Order Reduction Wiki, 2018. http://modelreduction.org/index.php/Convective_Thermal_Flow

@MISC{morwiki_convection,
author = <nowiki>{{The MORwiki Community}}</nowiki>,
title = {Convective Thermal Flow},
howpublished = {{MORwiki} -- Model Order Reduction Wiki},
url = <nowiki>{https://modelreduction.org/morwiki/Convection}</nowiki>,
year = {2018}
}

* For the background on the benchmark:

@INPROCEEDINGS{morMooRGetal04,
author = <nowiki>{C. Moosmann, E.B. Rudnyi, A. Greiner, J.G. Korvink}</nowiki>,
title = {Model Order Reduction for Linear Convective Thermal Flow},
booktitle = {Proceedings of 10th International Workshops on THERMal INvestigations of ICs and Systems},
year = {2004},
url = <nowiki>{http://modelreduction.com/doc/papers/moosmann04THERMINIC.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="ernst2001">H. Ernst, [https://freidok.uni-freiburg.de/data/201 High-Resolution Thermal Measurements in Fluids], PhD thesis, University of Freiburg, Germany, 2001.</ref>

<ref name="harper1997">C.A. Harper, [https://doi.org/10.1036/0071430482 Electronic packaging and interconnection handbook], New York McGraw- Hill, USA, 1997</ref>

<ref name="moosmann2004">C. Moosmann, E.B. Rudnyi, A. Greiner, 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, Sophia Antipolis, France, 2004.</ref>

<ref name="moosmann2005">C. Moosmann, A. Greiner, [https://doi.org/10.1007/3-540-27909-1_16 Convective Thermal Flow Problems], In: Dimension Reduction of Large-Scale Systems. Springer, Berlin, Heidelberg. Lecture Notes in Computational Science and Engineering, vol 45: 341--343, 2005.</ref>

</references>

Clamped Beam

2025-06-05T08:57:45Z

Saak:

[[Category:benchmark]]
[[Category:SLICOT]]
[[Category:linear]]
[[Category:time invariant]]
[[Category:first differential order]]
[[Category:second differential order]]
[[Category:SISO]]

{{Infobox
|Title = Clamped Beam
|Benchmark ID = clampedBeam_n348m1q1
|Category = slicot
|System-Class = LTI-FOS
|nstates = 348
|ninputs = 1
|noutputs = 1
|nparameters = 0
|components = A, B, C
|License = NA
|Creator = [[User:Himpe]]
|Editor =
* [[User:Himpe]]
* [[User:Mlinaric]]
|Zenodo-link = NA
}}

==Description: Clamped Beam Model==

This benchmark models a [[wikipedia:Cantilever|cantilever beam]], which is a beam clamped on one end.
More details can be found in <ref name="antoulas01"/> and <ref name="chahlaoui02"/>, <ref name="chahlaoui05"/>.

For larger beam-type benchmarks see the [[Linear_1D_Beam|linear 1d beam]] and [[Electrostatic_Beam|electrostatic beam]] benchmarks.

==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> are available from the [https://www.slicot.org/20-site/126-benchmark-examples-for-model-reduction SLICOT benchmarks] page: [https://www.slicot.org/objects/software/shared/bench-data/beam.zip beam.zip] and are stored as MATLAB [https://www.mathworks.com/help/matlab/import_export/mat-file-versions.html .mat] file.

Here is [https://www.python.org Python] code for loading the matrices (<math>A</math> is stored as a sparse matrix that is mostly full and <math>C</math> is stored as an array of 8-bit unsigned integers):

:<syntaxhighlight lang="python">
import numpy as np
from scipy.io import loadmat

mat = loadmat('beam.mat')
A = mat['A'].toarray()
B = mat['B']
C = mat['C'].astype(np.float64)
</syntaxhighlight>

The <math>(A, B, C)</math> represents a second-order system

:<math>
\begin{align}
\ddot{q}(t) + E_{so} \dot{q}(t) + a K_{so} q(t) &= a B_{so} u(t), \\
y(t) &= C_{so} q(t),
\end{align}
</math>

as

:<math>
\begin{align}
A &=
\begin{pmatrix}
0 & a I \\
-K_{so} & -E_{so}
\end{pmatrix}, \\
B &=
\begin{pmatrix}
0 \\
B_{so}
\end{pmatrix}, \\
C &=
\begin{pmatrix}
C_{so} & 0
\end{pmatrix},
\end{align}
</math>

where <math>a \approx 21.3896</math>.

Here is [https://www.python.org Python] code for checking the structure and extracting the second-order matrices:

:<syntaxhighlight lang="python">
n = 348
n2 = n // 2

assert np.all(A[:n2, :n2] == 0)
assert np.all(A[:n2, n2:] == A[0, n2] * np.eye(n2))
assert np.all(B[:n2] == 0)
assert np.all(C[:, n2:] == 0)

a = A[0, n2]
Eso = -A[n2:, n2:]
Kso = -a * A[n2:, :n2]
Bso = a * B[n2:]
Cso = C[:, :n2]
</syntaxhighlight>

==Dimensions==

===First differential order===

System structure:

:<math>
\begin{align}
\dot{x}(t) &= A x(t) + B u(t) \\
y(t) &= C x(t)
\end{align}
</math>

System dimensions:

<math>A \in \mathbb{R}^{348 \times 348}</math>,
<math>B \in \mathbb{R}^{348 \times 1}</math>,
<math>C \in \mathbb{R}^{1 \times 348}</math>.

===Second differential order===

System structure:

:<math>
\begin{align}
\ddot{x}(t) + E \dot{x}(t) + K x(t) &= B u(t) \\
y(t) &= C_p x(t)
\end{align}
</math>

System dimensions:

<math>E, K \in \mathbb{R}^{174 \times 174}</math>,
<math>B \in \mathbb{R}^{174 \times 1}</math>,
<math>C_p \in \mathbb{R}^{1 \times 174}</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_beam,
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{morAntSG01,
author = <nowiki>{A.C. Antoulas, D.C. Sorensen and S. Gugercin}</nowiki>,
title = {A survey of model reduction methods for large-scale systems},
journal = {Contemporary Mathematics},
volume = {280},
pages = {193--219},
year = {2001},
doi = {10.1090/conm/280}
}

==References==

<references>

<ref name="antoulas01"> A.C. Antoulas, D.C. Sorensen and S. Gugercin. [https://doi.org/10.1090/conm/280 A survey of model reduction methods for large-scale systems]. Contemporary Mathematics, 280: 193--219, 2001.</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>

Main Page

2025-05-28T15:05:19Z

Saak:

<Big>'''Welcome to the MOR Wiki'''</Big>

==Introduction==



The purpose of the '''M'''odel-'''O'''rder-'''R'''eduction-'''Wiki''' is to bring together experts in the area of model reduction along with researchers from related application areas, with the goal of providing a platform for exchanging ideas and benchmark examples.

Modeling and numerical simulation are unavoidable in many application and research areas such as reaction processes, micro-electro-mechanical systems ([[:Wikipedia:MEMS|MEMS]]) design, and control design.
Such processes or devices can be modeled by partial differential equations ([[:Wikipedia:Partial_differential_equation|PDEs]]).
To simulate these models, spatial discretization via, for example, finite element discretization is necessary, which results in a system of ordinary differential equations ([[:Wikipedia:Ordinary_differential_equation|ODEs]]), or differential algebraic equations ([[:Wikipedia:Differential_algebraic_equation|DAEs]]).

After spatial discretization, the number of degrees of freedom ([[:Wikipedia:Degrees_of_Freedom|DoFs]]) is usually very high.
Simulating such large-scale systems of ODEs or DAEs can therefore become incredibly time-consuming.
Developed from well established mathematical theory and robust numerical algorithms, Model Order Reduction (MOR) or Model Reduction has been recognized as very efficient for reducing the simulation time of large-scale systems; see the page [[Projection based MOR]] for a basic overview.
Through model order reduction, a small system with a reduced number of equations (i.e., the reduced model) is derived.
The reduced model is simulated instead, and the solution of the original PDEs or ODEs can then be recovered from the solution of the reduced model.
As a result, the simulation time of the original large-scale system can be shortened by several orders of magnitude.
The reduced model as a whole can also replace the original system and be reused repeatedly during the design process, which can lead to further time or energy savings.

[[:Category:Parametric|Parametric model order reduction (PMOR) methods]] are designed for model order reduction of parametrized systems, where the parameters of the system play an important role in practical applications such as [[:Wikipedia:Integrated circuit design|Integrated Circuit (IC)]] design, [[:Wikipedia:MEMS|MEMS]] design, and chemical engineering.
The parameters could be the variables describing geometrical measurements, material properties, the damping of the system or the component flow-rate.
Reduced models are constructed such that all the parameters can be preserved with acceptable accuracy.

=== How to use the MOR Wiki ===
The MOR Wiki comprises pages providing [[:Category:Benchmark|benchmarks of parametric or non-parametric models]] and pages explaining applicable (P)MOR [[:Category:Method|methods]] as well as available [[:Category:Software|software implementations]]. We ([[MOR Wiki:About|the editors]]) are actively improving documentation at the moment, so check back often for updates!

Following the [[Submission rules]], it is also possible to submit new benchmarks, methods, or software packages, along with pages describing the contribution.

Consult the [http://meta.wikimedia.org/wiki/Help:Contents User's Guide] for information on using Wiki software and the Wiki markup language we use here.

See the [[Glossary]] for definitions and abbreviations.

Find [[MOR_Wiki:Current_events|current model reduction conferences, workshops and minisymposia]], a [[Publications|list of books and lectures on model reduction]] and [[MOR_Wiki:Community_portal|links to the model reduction community]].

=== MORB: Model Order Reduction Benchmarker ===
A new benchmarking tool for model order reduction is currently under development. It is a demonstrator of the generic benchmark framework developed for Task Area 2 of the Mathematical Research Data Initiative ([https://www.mardi4nfdi.de/about/task-areas MaRDI]). [[MORB]] will serve as an example of how to fairly compare different implementations of algorithms across a standardized benchmark set for scientific computing. Visit the [[MORB]] page for updates.

=== Citations ===
To cite the MOR Wiki itself, please use the following

The MORwiki Community. '''MORwiki - Model Order Reduction Wiki'''. http://modelreduction.org

<nowiki>
@misc{morwiki,
author = {{The MORwiki Community}},
title = {{MORwiki} - {M}odel {O}rder {R}eduction {W}iki},
howpublished = {\url{https://modelreduction.org}},
key = {morwiki}
}
</nowiki>

A BibTeX file which contains a list of references related to model order reduction can be found and downloaded here: [[Bibtex|mor.bib]].

== List of all Categories in the Wiki ==
{{special:categories}}

{|
|- valign="top"
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MOR Wiki:Current events

2025-05-28T15:03:13Z

Saak:

[[Category:Miscellaneous]]
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== 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://mortech2025.i3a.es/ MORTech 2025 -- 7th International Workshop on Model Order Reduction Techniques], November 26 - 28 2025, Zaragoza (Spain)

== Past Events ==
=== 2025 ===
* [https://mathmod.at Minisymposium on Recent Advances in Model Order Reduction and Data-driven Modelling at MathMod 2025], February 19 - 21 2025, Vienna (Austria)

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

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

=== 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]"

MOR Wiki:Current events

2025-05-28T15:01:22Z

Saak:

[[Category:Miscellaneous]]
__NOTOC__

== 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://mortech2025.i3a.es/ MORTech 2025 -- 7th International Workshop on Model Order Reduction Techniques], November 26 - 28 2025, Zaragoza (Spain)

== Past Events ==
=== 2025 ===
* [https://mathmod.at Minisymposium on Recent Advances in Model Order Reduction and Data-driven Modelling at MathMod 2025], February 19 - 21 2025, Vienna (Austria)

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

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

=== 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]"

Plate with tuned vibration absorbers

2025-05-27T07:25:55Z

Saak: clarified which version the frequency response is for.

[[Category:benchmark]]
[[Category:linear]]
[[Category:second differential order]]
[[Category:SISO]]
[[Category:MIMO]]

{{Infobox
|Title = Plate with tuned vibration absorbers
|Benchmark ID =
* plateTVA_n201900m1q1
* plateTVA_n201900m1q28278
|Category = misc
|System-Class = LTI-SOS
|nstates = 201900
|ninputs = 1
|noutputs =
* 1
* 28278
|nparameters = 0
|components = B, C, E, K, M
|License = Creative Commons Attribution 4.0 International
|Creator = [[User:Aumann]]
|Editor =
* [[User:Aumann]]
|Zenodo-link =
* https://zenodo.org/record/7671686/files/plateTVA_n201900m1q1.mat
* https://zenodo.org/record/7671686/files/plateTVA_n201900m1q28278.mat
}}

<figure id="fig:plot1">
[[File:Plate_tva.png|480px|thumb|right|<caption>Sketch of the geometry.</caption>]]
</figure>

<figure id="fig:tf">
[[File:Plate_tva_frf.png|480px|thumb|right|<caption>Frequency response function (for the SIMO model version).</caption>]]
</figure>

==Description==
The '''Plate with tuned vibration absorbers''' benchmark models the vibration response of a plate excited by a single harmonic load. The plate is equipped with 108 tuned vibration absorbers (TVA), which change the vibration pattern of the host structure in a narrow frequency band around their tuning frequency<ref name="sun95"/>. Such systems have, for example, been examined in <ref name="jagodzinski20"/> and <ref name="claeys16"/>.

This benchmark models an aluminum plate with dimensions <math>0.8 \times 0.8\,\mathrm{m}</math> and a thickness of <math>t = 1\,\mathrm{mm}</math>. The surrounding edges are simply supported. The plate's surface is equipped with six struts along the <math>y</math>-direction, on which the TVAs are placed. The TVAs have a combined mass of <math>10\,\%</math> of the plate mass and are tuned to <math>f=48\,\mathrm{Hz}</math>. The plate is excited by a single load near one of the corners of the plate (see sketch). The root mean square of the displacement in <math>z</math>-direction at all points of the plate surface is plotted in Figure 2. The effect of the TVAs is clearly visible in the frequency range around their tuning frequency.

The following material parameters have been considered for aluminum:
{| class="wikitable" style="margin: auto;"
|+ style="caption-side:bottom;"|
|-
|Parameter
|Value
|Unit
|-style="background-color:#FFFFFF;"
|<math>E</math>
|<math>69</math>
|<math>\mathrm{GPa}</math>
|-style="background-color:#FFFFFF;"
|<math>\rho</math>
|<math>2650</math>
|<math>\mathrm{kg}\,\mathrm{m}^{-3}</math>
|-style="background-color:#FFFFFF;"
|<math>\nu</math>
|<math>0.22</math>
|<math>-</math>
|-
|}

==Dimensions==
System structure:

:<math>
\begin{align}
M \ddot{x}(t) + E \dot{x}(t) + K x(t) &= B u(t), \\
y(t) &= C x(t)
\end{align}
</math>

System dimensions:

<math>M \in \mathbb{R}^{n \times n}</math>,
<math>E \in \mathbb{R}^{n \times n}</math>,
<math>K \in \mathbb{R}^{n \times n}</math>,
<math>B \in \mathbb{R}^{n \times 1}</math>,
<math>C \in \mathbb{R}^{q \times n}</math>,
with <math>n=201\,900</math> and <math>q=28\,278</math>.

Proportional damping, i.e. <math>E=\alpha M + \beta K</math>, with <math>\alpha=1\cdot 10^{-2}, \beta=1\cdot 10^{-4}</math> is considered.
The matrices <math>M, E, K</math> are positive (semi-) definite.

==Data==
The data is available at [https://doi.org/10.5281/zenodo.7507011 Zenodo].

==Remarks==
* The dataset also contains a version with a single output (SISO). Here, the displacement of the plate at the location of the load is evaluated.
* The frequency response in the range <math>1\,\mathrm{Hz}</math> to <math>250\,\mathrm{Hz}</math> is included in the dataset.
* The finite element discretization has been performed with [https://github.com/KratosMultiphysics/Kratos Kratos Multiphysics].
* A comparison of different interpolation-based MOR methods using this benchmark example is available in <ref name="aumann23"/>

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

* For the benchmark itself and its data:
@Misc{dataAum23,
author = {Aumann, Q.},
title = {Matrices for a plate with tuned vibration absorbers},
howpublished = {hosted at {MORwiki} -- Model Order Reduction Wiki},
year = 2023,
doi = {10.5281/zenodo.7507011}
}

* For the background on the benchmark:

@Article{AumW23,
author = {Aumann, Q. and Werner, S.~W.~R.},
title = {Structured model order reduction for vibro-acoustic problems using interpolation and balancing methods},
journal = {Journal of Sound and Vibration},
volume = 543,
year = 2023,
pages = {117363},
doi = {10.1016/j.jsv.2022.117363},
publisher = {Elsevier {BV}}
}

==References==

<references>

<ref name="sun95"> J. Q. Sun, M. R. Jolly, M. A. Norris. "[http://dx.doi.org/10.1115/1.2836462 Passive, Adaptive and Active Tuned Vibration Absorbers—A Survey]", Journal of Mechanical Design, 117.B: 234–242, 1995.</ref>

<ref name="jagodzinski20"> D. J. Jagodzinski, M. Miksch, Q. Aumann, G. Müller. "[http://dx.doi.org/10.1080/15397734.2020.1787842 Modeling and optimizing an acoustic metamaterial to minimize low-frequency structure-borne sound]", Mechanics Based Design of Structures and Machines, 50(8): 2877–2891, 2020.</ref>

<ref name="claeys16"> C. Claeys, E. Deckers, B. Pluymers, W. Desmet. "[http://dx.doi.org/10.1016/j.ymssp.2015.08.029 A lightweight vibro-acoustic metamaterial demonstrator: Numerical and experimental investigation]", Mechanical Systems and Signal Processing, 70-71: 853–880, 2016.</ref>

<ref name="aumann23">Q. Aumann, S. W. R. Werner. "[https://doi.org/10.1016/j.jsv.2022.117363 Structured model order reduction for vibro-acoustic problems using interpolation and balancing methods]", Journal of Sound and Vibration, 543: 117363, 2023.</ref>

</references>

MOR Wiki:Current events

2025-05-26T12:24:46Z

Saak:

[[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://mortech2025.i3a.es/ MORTech 2025 -- 7th International Workshop on Model Order Reduction Techniques], November 26 - 28 2025, Zaragoza (Spain)

== Past Events ==
=== 2025 ===
* [https://mathmod.at Minisymposium on Recent Advances in Model Order Reduction and Data-driven Modelling at MathMod 2025], February 19 - 21 2025, Vienna (Austria)

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

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

=== 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]"

FEniCS Rail

2025-05-09T08:16:06Z

Saak:

{{preliminary}} 

[[Category:benchmark]]
[[Category:time invariant]]
[[Category:MIMO]]
[[Category:Sparse]]

{{Infobox
|Title = FEniCS Rail
|Benchmark ID =
* fenicsRail_n371m7q6
* fenicsRail_n1357m7q6
* fenicsRail_n5177m7q6
* fenicsRail_n20209m7q6
* fenicsRail_n79841m7q6
* fenicsRail_n317377m7q6
* fenicsRail_n1265537m7q6
|Category = MOR Wiki
|System-Class = LTI-FOS
|nstates =
* 371
* 1357
* 5177
* 20209
* 79841
* 317377
* 1265537
|ninputs = 7
|noutputs = 6
|nparameters = 0
|components = A, B, C, E
|License = CC-BY-4.0
|Creator =
* [[User:Saak]]
* Maximilian Behr
|Editor = [[User:Saak]]
|Zenodo-link = https://zenodo.org/record/5113560 Zenodo
}}

[[Steel Profile|Oberwolfach Rail]] Reimplementation in FEniCS.

See the [https://gitlab.mpi-magdeburg.mpg.de/models/fenicsrail Gitlab] or [https://zenodo.org/record/5113560 Zenodo] links for the data.

FEniCS Rail

2025-05-09T08:13:51Z

Saak:

{{preliminary}} 

[[Category:benchmark]]
[[Category:time invariant]]
[[Category:MIMO]]
[[Category:Sparse]]

{{Infobox
|Title = FEniCS Rail
|Benchmark ID =
* fenicsRail_n371m7q6
* fenicsRail_n1357m7q6
* fenicsRail_n5177m7q6
* fenicsRail_n20209m7q6
* fenicsRail_n79841m7q6
* fenicsRail_n317377m7q6
* fenicsRail_n1265537m7q6
|Category =
|System-Class = LTI-FOS
|nstates =
* 371
* 1357
* 5177
* 20209
* 79841
* 317377
* 1265537
|ninputs = 7
|noutputs = 6
|nparameters = 0
|components = A, B, C, E
|License = CC-BY-4.0
|Creator =
* [[User:Saak]]
* Maximilian Behr
|Editor = [[User:Saak]]
|Zenodo-link = https://zenodo.org/record/5113560 Zenodo
}}

[[Steel Profile|Oberwolfach Rail]] Reimplementation in FEniCS.

See the [https://gitlab.mpi-magdeburg.mpg.de/models/fenicsrail Gitlab] or [https://zenodo.org/record/5113560 Zenodo] links for the data.

Comparison of Software

2025-01-08T16:36:48Z

Saak:

[[Category:software]]

The following table provides a '''Comparison of Software''' for the model reduction software projects listed in the MORwiki.
For more information on MOR software (especially packages listed in the MORwiki), see <ref name="haasdonk21"/>.

{| class="wikitable sortable" style="text-align: center; width: auto;"
|-
! Name
! Linear
! Nonlinear
! First Order
! Second Order
! Parametric
! DAE
! Dense
! Sparse
!
! Latest Version
! License
! Language
|-
! [[DPA|DPA]]
| Yes
| No
| Yes
| Yes
| No
| Yes
| (Yes)
| Yes
|
| ?
| ?
| Matlab
|-
! [[Emgr|emgr]]
| Yes
| Yes
| Yes
| Yes
| Yes
| (Yes)
| Yes
| (Yes)
|
| 5.99 (04.2022)
| [https://spdx.org/licenses/BSD-2-Clause.html BSD-2-Clause]
| Matlab
|-
! [[EZyRB|EZyRB]]
| ?
| ?
| ?
| ?
| ?
| ?
| ?
| ?
|
| 1.1 (10.2020)
| [https://spdx.org/licenses/MIT.html MIT]
| Python
|-
! [[ITHACA-FV]]
| Yes
| Yes
| Yes
| No
| Yes
| No
| Yes
| Yes
|
| 2.1 (02.2019)
| [https://spdx.org/licenses/LGPL-3.0.html LGPL-3.0]
| C++
|-
! [[ITHACA-SEM]]
| (Yes)
| (Yes)
| Yes
| No
| Yes
| No
| Yes
| Yes
|
| (02.2019)
| [https://spdx.org/licenses/MIT.html MIT]
| C++
|-
! [[MESS]]
| Yes
| No
| Yes
| Yes
| No
| Yes
| (Yes)
| Yes
|
| 2.2 (Matlab), 1.0 (C, Python, Julia)
| [https://spdx.org/licenses/BSD-2-Clause.html BSD-2-Clause] (Matlab). [https://spdx.org/licenses/GPL-2.0.html GPL-2.0] (C, Python, Julia)
| C, Matlab, Python, Julia
|-
! [[MOR Toolbox]]
| Yes
| (on-going)
| Yes
| (Yes)
| No
| Yes
| Yes
| Yes
|
| 1.1 (Dec. 2020)
| [http://mordigitalsystems.fr/en/ MOR Digital Systems]
| Matlab
|-
! [[MOREMBS]]
| Yes
| No
| Yes
| Yes
| (Yes)
| Yes
| Yes
| Yes
|
| ?
| ?
| C++, Matlab
|-
! [[MORLAB]]
| Yes
| No
| Yes
| Yes
| No
| Yes
| Yes
| (Yes)
|
| 5.0 (08.2019)
| [https://spdx.org/licenses/AGPL-3.0.html AGPL-3.0]
| Matlab
|-
! [[MORPACK]]
| Yes
| No
| Yes
| Yes
| No
| Yes
| Yes
| Yes
|
| v3.0.099 (07.2015)
| ?
| Matlab
|-
! [https://www.mw.tum.de/rt/forschung/modellordnungsreduktion/software/psssmor/ psssMOR]
| Yes
| No
| Yes
| No
| Yes
| (No)
| Yes
| Yes
|
| 1.00 (09.2017)
| [https://spdx.org/licenses/BSD-2-Clause.html BSD-2-Clause]
| Matlab
|-
! [[PyDMD|PyDMD]]
| ?
| ?
| ?
| ?
| ?
| ?
| ?
| ?
|
| 0.3 (07.2020)
| [https://spdx.org/licenses/MIT.html MIT]
| Python
|-
! [[PyMOR|pyMOR]]
| Yes
| Yes
| Yes
| Yes
| Yes
| (No)
| Yes
| Yes
|
| 2024.2.0 (12.2024)
| [https://spdx.org/licenses/BSD-2-Clause.html BSD-2-Clause]
| Python
|-
! [[sssMOR]]
| Yes
| No
| Yes
| (No)
| (Yes)
| (No)
| Yes
| Yes
|
| 2.00 (09.2017)
| [https://spdx.org/licenses/BSD-2-Clause.html BSD-2-Clause]
| Matlab
|-
! [[RBmatlab]]
| Yes
| Yes
| Yes
| Yes
| Yes
| No
| Yes
| Yes
|
| 1.16.09 (09.2016)
| [https://spdx.org/licenses/AFL-3.0.html AFL-3.0]
| Matlab
|-
! [[RBniCS]]
| Yes
| Yes
| Yes
| No
| Yes
| No
| Yes
| Yes
|
| 0.1.0 (06.2019)
| [https://spdx.org/licenses/LGPL-3.0.html LGPL-3.0]
| Python
|}

----
See also: [[Further Software]]

References:
<references>

<ref name="haasdonk21">B. Haasdonk "[https://doi.org/10.1515/9783110499001-013 MOR Software]", Model Order Reduction, Volume 3: Applications: 431--460, 2021.</ref>

</references>

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2024-10-02T11:26:51Z

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2024-10-02T11:25:48Z

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2024-10-02T11:24:17Z

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2024-10-02T10:54:48Z

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2024-10-01T16:45:20Z

Saak: Undo revision 3939 by Saak (talk)

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2024-10-01T16:44:04Z

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Further Software

2024-09-14T09:33:07Z

Saak:

[[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://github.com/Algopaul/SOBMOR SOBMIR] - Demo code for Structured optimization based model order reduction
* [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)

Comparison of Software

2024-09-14T09:27:34Z

Saak:

[[Category:software]]

The following table provides a '''Comparison of Software''' for the model reduction software projects listed in the MORwiki.
For more information on MOR software (especially packages listed in the MORwiki), see <ref name="haasdonk21"/>.

{| class="wikitable sortable" style="text-align: center; width: auto;"
|-
! Name
! Linear
! Nonlinear
! First Order
! Second Order
! Parametric
! DAE
! Dense
! Sparse
!
! Latest Version
! License
! Language
|-
! [[DPA|DPA]]
| Yes
| No
| Yes
| Yes
| No
| Yes
| (Yes)
| Yes
|
| ?
| ?
| Matlab
|-
! [[Emgr|emgr]]
| Yes
| Yes
| Yes
| Yes
| Yes
| (Yes)
| Yes
| (Yes)
|
| 5.99 (04.2022)
| [https://spdx.org/licenses/BSD-2-Clause.html BSD-2-Clause]
| Matlab
|-
! [[EZyRB|EZyRB]]
| ?
| ?
| ?
| ?
| ?
| ?
| ?
| ?
|
| 1.1 (10.2020)
| [https://spdx.org/licenses/MIT.html MIT]
| Python
|-
! [[ITHACA-FV]]
| Yes
| Yes
| Yes
| No
| Yes
| No
| Yes
| Yes
|
| 2.1 (02.2019)
| [https://spdx.org/licenses/LGPL-3.0.html LGPL-3.0]
| C++
|-
! [[ITHACA-SEM]]
| (Yes)
| (Yes)
| Yes
| No
| Yes
| No
| Yes
| Yes
|
| (02.2019)
| [https://spdx.org/licenses/MIT.html MIT]
| C++
|-
! [[MESS]]
| Yes
| No
| Yes
| Yes
| No
| Yes
| (Yes)
| Yes
|
| 2.2 (Matlab), 1.0 (C, Python, Julia)
| [https://spdx.org/licenses/BSD-2-Clause.html BSD-2-Clause] (Matlab). [https://spdx.org/licenses/GPL-2.0.html GPL-2.0] (C, Python, Julia)
| C, Matlab, Python, Julia
|-
! [[MOR Toolbox]]
| Yes
| (on-going)
| Yes
| (Yes)
| No
| Yes
| Yes
| Yes
|
| 1.1 (Dec. 2020)
| [http://mordigitalsystems.fr/en/ MOR Digital Systems]
| Matlab
|-
! [[MOREMBS]]
| Yes
| No
| Yes
| Yes
| (Yes)
| Yes
| Yes
| Yes
|
| ?
| ?
| C++, Matlab
|-
! [[MORLAB]]
| Yes
| No
| Yes
| Yes
| No
| Yes
| Yes
| (Yes)
|
| 5.0 (08.2019)
| [https://spdx.org/licenses/AGPL-3.0.html AGPL-3.0]
| Matlab
|-
! [[MORPACK]]
| Yes
| No
| Yes
| Yes
| No
| Yes
| Yes
| Yes
|
| v3.0.099 (07.2015)
| ?
| Matlab
|-
! [https://www.mw.tum.de/rt/forschung/modellordnungsreduktion/software/psssmor/ psssMOR]
| Yes
| No
| Yes
| No
| Yes
| (No)
| Yes
| Yes
|
| 1.00 (09.2017)
| [https://spdx.org/licenses/BSD-2-Clause.html BSD-2-Clause]
| Matlab
|-
! [[PyDMD|PyDMD]]
| ?
| ?
| ?
| ?
| ?
| ?
| ?
| ?
|
| 0.3 (07.2020)
| [https://spdx.org/licenses/MIT.html MIT]
| Python
|-
! [[PyMOR|pyMOR]]
| Yes
| Yes
| Yes
| Yes
| Yes
| (No)
| Yes
| Yes
|
| 2024.1.2 (08.2024)
| [https://spdx.org/licenses/BSD-2-Clause.html BSD-2-Clause]
| Python
|-
! [[sssMOR]]
| Yes
| No
| Yes
| (No)
| (Yes)
| (No)
| Yes
| Yes
|
| 2.00 (09.2017)
| [https://spdx.org/licenses/BSD-2-Clause.html BSD-2-Clause]
| Matlab
|-
! [[RBmatlab]]
| Yes
| Yes
| Yes
| Yes
| Yes
| No
| Yes
| Yes
|
| 1.16.09 (09.2016)
| [https://spdx.org/licenses/AFL-3.0.html AFL-3.0]
| Matlab
|-
! [[RBniCS]]
| Yes
| Yes
| Yes
| No
| Yes
| No
| Yes
| Yes
|
| 0.1.0 (06.2019)
| [https://spdx.org/licenses/LGPL-3.0.html LGPL-3.0]
| Python
|}

----
See also: [[Further Software]]

References:
<references>

<ref name="haasdonk21">B. Haasdonk "[https://doi.org/10.1515/9783110499001-013 MOR Software]", Model Order Reduction, Volume 3: Applications: 431--460, 2021.</ref>

</references>

PyMOR

2024-09-14T09:26:08Z

Saak:

[[Category:Software]]
[[Category:Python]]

== Synopsis ==

[https://pymor.org pyMOR] is a [https://opensource.org/licenses/BSD-2-Clause BSD-licensed] software library for building model order reduction applications in the [[:Wikipedia:Python_(programming_language)|Python programming language]].
All algorithms in '''pyMOR''' are formulated in terms of abstract interfaces, allowing generic implementations to work with different backends, from NumPy/SciPy to external partial differential equation solver packages.

== Features ==

Currently, the following model reduction algorithms are provided by '''pyMOR''':
* A generic reduction routine for projection of arbitrary high-dimensional discretizations onto reduced spaces, preserving (possibly nested) affine decompositions of operators and functionals for efficient offline/online decomposition.
* Efficient error estimation for linear affinely decomposed problems.
* Empirical interpolation of arbitrary operators (with efficient evaluation of projected interpolated operators if the operator supports restriction to selected degrees of freedom).
* Parallel adaptive greedy and POD algorithms for reduced space construction.
* Empirical-Interpolation-Greedy and DEIM algorithms for generation of interpolation data for empirical operator interpolation.
* Balanced-based and interpolation-based reduction methods for first-order, second-order, and port-Hamiltonian linear time-invariant systems.
* Model order reduction using artificial neural networks.
* Data-driven model order reduction with Dynamic Mode Decomposition, Loewner matrices, Eigensystem Realization, and parametric AAA.
* [[:Wikipedia:Gram_schmidt|Gram-Schmidt algorithm]] supporting re-orthogonalization for improved numerical accuracy.
* Time-stepping and Newton algorithms, as well as generic iterative linear solvers.
* Low-rank alternating direction implicit (LR ADI) method for large-scale Lyapunov equations and bindings for matric equations solvers in [https://www.slicot.org SLICOT] (via [https://github.com/python-control/Slycot slycot]) and [https://www.mpi-magdeburg.mpg.de/projects/mess Py-M.E.S.S].
* Eigenvalue/pole computation using the implicitly restarted Arnoldi method and the subspace accelerated dominant pole (SAMDP) algorithm.
* Modal truncation for linear time-invariant systems.
* Time-dependent parameters.

All these algorithms are formulated in terms of abstract interfaces for seamless integration with external high-dimensional PDE solvers.
Bindings for the following PDE solver libraries are available:
* [https://www.dealii.org/ deal.II]
* [https://dune-project.org/ DUNE]
* [https://fenicsproject.org/ FEniCS]
* [https://fenicsproject.org/ FEniCSx] (in preparation, see feature branch)
* [https://sourceforge.net/projects/ngsolve/ NGSolve]
* [https://scikit-fem.readthedocs.io/ scikit-fem] (experimental)

Pure Python implementations of discretizations using the [https://numpy.org NumPy]/[https://scipy.org SciPy] scientific computing stack are implemented to provide an easy-to-use sandbox for experimentation with new model reduction approaches. '''pyMOR''' offers:
* Structured 1D and 2D grids, as well as an experimental Gmsh-based grid, implementing the same abstract grid interface.
* [[:Wikipedia:Finite_element|Finite element]] and [[:Wikipedia:Finite_volume|finite volume]] operators based on this interface.
* SciPy/[http://crd-legacy.lbl.gov/~xiaoye/SuperLU SuperLU] based iterative and direct solvers for sparse systems.
* [[:Wikipedia:Opengl|OpenGL]], [https://matplotlib.org matplotlib], and [https://github.com/K3D-tools/K3D-jupyter k3d] based visualizations of solutions.

== References ==
* M. Ohlberger, S. Rave, S. Schmidt, S. Zhang. "[https://doi.org/10.1007/978-3-319-05591-6_69 A Model Reduction Framework for Efficient Simulation of Li-Ion Batteries]". Springer Proceedings in Mathematics & Statistics Vol. 78: Finite Volumes for Complex Applications VII-Elliptic, Parabolic and Hyperbolic Problems, Berlin, June 2014.
* R. Milk, S. Rave, F. Schindler. "[https://doi.org/10.1137/15M1026614 pyMOR - Generic Algorithms and Interfaces for Model Order Reduction]". SIAM Journal on Scientific Computing 38(5): S194--S216, 2016.

== Links ==
* Official [https://pymor.org website],
* Development of '''pyMOR''' can be tracked on [https://github.com/pymor/pymor GitHub],
* Online [https://docs.pymor.org documentation].

== Contact ==
For assistance with, and contributions to '''pyMOR''', the developers can be contacted via [https://github.com/pymor/pymor/discussions GitHub discussions].

Convective Thermal Flow

2024-09-10T15:31:14Z

Saak:

[[Category:benchmark]]
[[Category:Oberwolfach]]
[[Category:linear]]
[[Category:time invariant]]
[[Category:first differential order]]
[[Category:MIMO]]
[[Category:sparse]]

{{Infobox
|Title = Convective Thermal Flow
|Benchmark ID =
* ctfChipCoolingv0_n20082m1q5
* ctfChipCoolingv01_n20082m1q5
* ctfFlowMeterv0_n9669m1q5
* ctfFlowMeterv05_n9669m1q5
|Category = oberwolfach
|System-Class = LTI-FOS
|nstates =
* 20082
* 20082
* 9669
* 9669
|ninputs = 1
|noutputs = 5
|nparameters = 0
|components = A, B, C
|License = NA
|Creator = [[User:Himpe]]
|Editor =
* [[User:Himpe]]
|Zenodo-link = NA
}}

==Description: Convective Thermal Flow Problems==
<figure id="fig1">[[File:Convection1.jpg|490px|thumb|right|Figure 1: Convective heat flow example: 2D anemometer model]]</figure>
<figure id="fig2">[[File:Convection2.jpg|490px|thumb|right|Figure 2: Convective heat flow example: 3D cooling structure]]</figure>

Many thermal problems require simulation of heat exchange between a solid body and a fluid flow.
The most elaborate approach to this problem is [[wikipedia:Computational_fluid_dynamics|computational fluid dynamics]] (CFD).
However, CFD is computationally expensive.
A popular solution is to exclude the flow completely from the computational domain and to use convection boundary conditions for the solid model.
However, caution has to be taken to select the [[wikipedia:Heat_transfer_coefficient|film coefficient]].

An intermediate level is to include a flow region with a given velocity profile that adds convective transport to the model.
Compared to convection boundary conditions this approach has the advantage that the film coefficient does not need to be specified and that information about the heat profile in the flow can be obtained.
A drawback of the method is the greatly increased number of elements needed to perform a physically valid simulation because the solution accuracy when employing upwind finite element schemes depends on the element size.
While this problem still is linear, due to the forced convection, the conductivity matrix changes from a symmetric matrix to an un-symmetric one.
So this problem type can be used as a benchmark for problems containing un-symmetric matrices.

Two different designs are tested: a 2D model of an [[Anemometer|anemometer]]-like structure mainly consisting of a tube and a small heat source (Fig. 1) <ref name="ernst2001"/>.
The solid model has been generated and meshed in [http://www.ansys.com ANSYS].
Triangular <tt>PLANE55</tt> elements have been used for meshing and discretizing by the finite element method, resulting in 19282 elements and 9710 nodes.
The second design is a 3D model of a chip cooled by forced convection (Fig. 2) <ref name="harper1997"/>.
In this case, the tetrahedral element type <tt>SOLID70</tt> was used, resulting in 107989 elements and 20542 nodes.
Since the implementation of the convective term in ANSYS does not allow defining the fluid speed on a per-element basis but on a per-region one, the flow profile has to be approximated by piece-wise step functions.
The approximation used for these benchmarks is shown in Fig. 1.

The Dirichlet boundary conditions are applied to the original system.
In both models, the reference temperature is set to <math>300 \, \text{K}</math>, and Dirichlet boundary conditions as well as initial conditions are set to <math>0</math> with respect to the reference.
The specified Dirichlet boundary conditions are in both cases the inlet of the fluid and the outer faces of the solids. Matrices are supplied for the symmetric case (fluid speed is zero; no convection), and the non-symmetric case (with forced convection).
Table 1 shows the output nodes specified for the two benchmarks, Table 2 links the filenames according to the different cases.

Practically, only a few nodes are considered quantities of interest.
Hence, a small subset of five nodes is selected as output nodes,
which are filtered from the discretized state by a linear transformation.

==Origin==

This benchmark is part of the '''Oberwolfach Benchmark Collection'''<ref name="korvink2005"/>; No. 38867, see <ref name="moosmann2005"/>.

==Data==

Matrices are in the [http://math.nist.gov/MatrixMarket/ Matrix Market] format.
The matrix name is used as an extension of the matrix file.
<tt>*.C.names</tt> contains a list of output names written consecutively.
The system matrices have been extracted from ANSYS models by means of [http://portal.uni-freiburg.de/imteksimulation/downloads/mor4fem mor4fem].

{| class="wikitable" style="margin: auto;"
|+ style="caption-side:bottom;"|''Table 1: Output nodes for the two models.''
|-
!Model
!Number
!Code
!Comment
|-
|Flow Meter
|1
|out1
|outlet position
|-
|
|2
|out2
|outlet position
|-
|
|3
|SenL
|left sensor position
|-
|
|4
|Heater
|within the heater
|-
|
|5
|SenR
|right sensor position
|-
|Cooling Structure
|1
|out1
|outlet position
|-
|
|2
|out2
|outlet position
|-
|
|3
|out3
|outlet position
|-
|
|4
|out4
|outlet position
|-
|
|5
|Heater
|within the heater
|}

{| class="wikitable" style="margin: auto;"
|+ style="caption-side:bottom;"|''Table 2: Provided files.''
|-
!Model
!Fluid Speed (m/s)
!Link
!Size
|-
|Flow Meter
|<math>0</math>
|[https://csc.mpi-magdeburg.mpg.de/mpcsc/MORWIKI/Oberwolfach/Convection-dim1e4-flow_meter_model_v0.tgz Convection-dim1e4-flow_meter_model_v0.tgz]
|649.4 kB
|-
|
|<math>0.5</math>
|[https://csc.mpi-magdeburg.mpg.de/mpcsc/MORWIKI/Oberwolfach/Convection-dim1e4-flow_meter_model_v0.5.tgz Convection-dim1e4-flow_meter_model_v0.5.tgz]
|757.8 kB
|-
|Cooling Structure
|<math>0</math>
|[https://csc.mpi-magdeburg.mpg.de/mpcsc/MORWIKI/Oberwolfach/Convection-dim1e4-chip_cooling_model_v0.tgz Convection-dim1e4-chip_cooling_model_v0.tgz]
|3.9 MB
|-
|
|<math>0.1</math>
|[https://csc.mpi-magdeburg.mpg.de/mpcsc/MORWIKI/Oberwolfach/Convection-dim1e4-chip_cooling_model_v0.1.tgz Convection-dim1e4-chip_cooling_model_v0.1.tgz]
|4.0 MB
|}

Further information on the models can be found in <ref name="moosmann2004"/>,
where model reduction by means of the [[wikipedia:Arnoldi_iteration|Arnoldi algorithm]] is also presented.

==Dimensions==

System structure:

:<math>
\begin{align}
E \dot{x}(t) &= A x(t) + B u(t) \\
y(t) &= C x(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 1}</math>,
<math>C \in \mathbb{R}^{5 \times n}</math>.

System variants:

<tt>flow_v0</tt>: <math>n = 9669</math>,
<tt>flow_v0.5</tt>: <math>n = 9669</math>,
<tt>chip_v0</tt>: <math>n = 20082</math>,
<tt>chip_v0.1</tt>: <math>n = 20082</math>.

==Citation==

To cite this benchmark, use the following references:

* For the benchmark itself and its data:
::The MORwiki Community, '''Convective Thermal Flow'''. MORwiki - Model Order Reduction Wiki, 2018. http://modelreduction.org/index.php/Convective_Thermal_Flow

@MISC{morwiki_convection,
author = <nowiki>{{The MORwiki Community}}</nowiki>,
title = {Convective Thermal Flow},
howpublished = {{MORwiki} -- Model Order Reduction Wiki},
url = <nowiki>{http://modelreduction.org/index.php/Convection}</nowiki>,
year = {2018}
}

* For the background on the benchmark:

@INPROCEEDINGS{morMooRGetal04,
author = <nowiki>{C. Moosmann, E.B. Rudnyi, A. Greiner, J.G. Korvink}</nowiki>,
title = {Model Order Reduction for Linear Convective Thermal Flow},
booktitle = {Proceedings of 10th International Workshops on THERMal INvestigations of ICs and Systems},
year = {2004},
url = <nowiki>{http://modelreduction.com/doc/papers/moosmann04THERMINIC.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="ernst2001">H. Ernst, [https://freidok.uni-freiburg.de/data/201 High-Resolution Thermal Measurements in Fluids], PhD thesis, University of Freiburg, Germany, 2001.</ref>

<ref name="harper1997">C.A. Harper, [https://doi.org/10.1036/0071430482 Electronic packaging and interconnection handbook], New York McGraw- Hill, USA, 1997</ref>

<ref name="moosmann2004">C. Moosmann, E.B. Rudnyi, A. Greiner, 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, Sophia Antipolis, France, 2004.</ref>

<ref name="moosmann2005">C. Moosmann, A. Greiner, [https://doi.org/10.1007/3-540-27909-1_16 Convective Thermal Flow Problems], In: Dimension Reduction of Large-Scale Systems. Springer, Berlin, Heidelberg. Lecture Notes in Computational Science and Engineering, vol 45: 341--343, 2005.</ref>

</references>

Template:Editors

2024-09-03T08:39:22Z

Saak:

* [[User:Saak]]
* [[User:Grundel]]
* [[User:Werner]]
* [[User:Himpe]]