MOR Wiki - User contributions [en]

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"
|<categorytree mode=all>Benchmark</categorytree> || <categorytree mode=all>Method</categorytree> || <categorytree mode=all>Software</categorytree> || <categorytree mode=all>Miscellaneous</categorytree>
|}

MOR Wiki:Current events

2025-05-28T15:03:13Z

Saak:

[[Category:Miscellaneous]]
{| align="right"
| __TOC__
|}
== 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>

MediaWiki:Common.css

2024-10-02T11:26:51Z

Saak:

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MediaWiki:Common.css

2024-10-02T11:25:48Z

Saak:

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MediaWiki:Common.css

2024-10-02T11:24:17Z

Saak:

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2024-10-02T10:54:48Z

Saak:

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2024-10-02T09:48:07Z

Saak:

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2024-10-01T16:45:20Z

Saak: Undo revision 3939 by Saak (talk)

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MediaWiki:Common.css

2024-10-01T16:44:04Z

Saak:

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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
|-
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|[https://csc.mpi-magdeburg.mpg.de/mpcsc/MORWIKI/Oberwolfach/Convection-dim1e4-chip_cooling_model_v0.tgz Convection-dim1e4-chip_cooling_model_v0.tgz]
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|<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]
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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]]

MOR Wiki:Current events

2024-09-02T16:54:42Z

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

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

== Past Events ==

=== 2024 ===
* [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]"

User:Kuerschner

2024-09-02T16:46:31Z

Saak:

Patrick Kürschner 
HTWK Leipzig 
Mathematisch-Naturwissenschaftliches Zentrum 
Zuse-Bau | Raum Z 415 
Gustav-Freytag-Straße 42a 
04277 Leipzig 
Germany

phone: ++49 341 3076 6497 
www: https://mnz.htwk-leipzig.de/mnz/personen/professuren/prof-dr-rer-nat-patrick-kuerschner

Thanks

2024-09-02T16:41:53Z

Saak:

[[Category:Miscellaneous]]

The MOR Wiki community thanks:

* [[User:Baur]] for her editorial work on the Wiki and maintaining the mor.bib in the period from October 2013 to August 2016
* [[User:Feng]] for her editorial work on the Wiki in the period from October 2013 to May 2021
* [[User:Lund]] for her editorial work on the Wiki and the important initial steps on [[MORB]] during 2023/2024

Template:Editors

2024-09-02T05:56:07Z

Saak:

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

MORB

2024-06-03T13:20:52Z

Saak:

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

== Overview ==
An overview of MaRDI and MORB are provided in the poster, which was presented at [https://more.sciencesconf.org/ Model Reduction and Surrogate Modeling (MORE)], 19-23 September 2022, Berlin, Germany.

[[File:Morb2022.pdf|180px]]

== mini-MORB (snapshot of MATLAB prototype) ==
A MATLAB prototype for linear-time-invariant, first-order systems (LTI-FOS) is largely operational. An example [https://morwiki.mpi-magdeburg.mpg.de/morwiki/index.php/File:CdPlayer_n120m2q2.pdf report] for the [[CD Player]] benchmark is provided.

Please also see the [https://onlinelibrary.wiley.com/doi/10.1002/pamm.202300147 report] published in [https://onlinelibrary.wiley.com/journal/16177061 PAMM], as well as the accompanying [https://zenodo.org/record/8093833 code] hosted at [https://zenodo.org Zenodo].

<nowiki>
@article{BenLS23,
title = {Towards a benchmark framework for model order reduction in the {{Mathematical Research Data Initiative}} ({{MaRDI}})},
author = {Benner, Peter and Lund, Kathryn and Saak, Jens},
year = {2023},
journal = {Proceeding Appl. Math. Mech.},
doi = {10.1002/pamm.202300147},
pages = {e202300147},
volume = 23,
number = 3
}

@misc{mini-MORB,
title = {mini-{{MORB}} ({{Model Order Reduction Benchmarker}})},
author = {Lund, Kathryn and Saak, Jens and Benner, Peter},
year = {2023},
doi = {10.5281/zenodo.8093832}
}
</nowiki>

ALBERTA Rail 371

2024-04-11T16:01:12Z

Saak:

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

{{Infobox
|Title = Steel Profile 
|Benchmark ID =
* steelProfile_n371m7q6 
|Category =
|System-Class = LTI-FOS
|nstates =
* 371
|ninputs = 7
|noutputs = 6
|nparameters = 0
|components = A, B, C, E
|License = CC-by 4.0
|Creator =
* [[User:Saak]]
* Peter Benner
|Editor = [[User:Saak]]
|Zenodo-link = NA
}}

This is a small configuration of the original [[Steel Profile]],
that was not published in the [[:Category:Oberwolfach|Oberwolfach Collection]].
There are several publications that used this benchmark despite citing [[Steel Profile]]:

* Köhler, Martin, Norman Lang, and Jens Saak. “Solving Differential Matrix Equations Using Parareal.” PAMM 16, no. 1 (October 2016): 847–48. https://doi.org/10.1002/pamm.201610412. (@[[User:Saak]]: please confirm)
* Schulze, Jonas. “A Low-Rank Parareal Solver for Differential Riccati Equations Written in Julia.” Otto-von-Guericke-Universität Magdeburg, 2022. https://doi.org/10.5281/zenodo.7843197.
* ...

== Data ==

{| class="wikitable" style="margin: auto; text-align:right;"
|+ style="caption-side:bottom;"|
|-
|
|# nonzeros in A
|# nonzeros in E
|max. mesh width
|-
|[https://csc.mpi-magdeburg.mpg.de/mpcsc/MORWIKI/Oberwolfach/SteelProfile-dim1e3-rail_371.zip SteelProfile-dim1e3-rail_371.zip] (32kB)
|2341
|2343
|
|}

== Related Variants ==

* [[Steel Profile]]: dimensions 1357, 5177, 20209, 79841
* [[FEniCS Rail]]: dimensions 371, 1357, 5177, 20209, 79841, 317377, 1265537

Submission rules

2024-03-25T14:28:39Z

Saak:

The MORWiki [[:Category:Benchmark|benchmark collection]] contains benchmarks related to model order reduction. Its goal is to supply dynamical systems in a computer-readable format to researchers from different areas, who can then test new algorithms, software, etc.

The collection contains documents and wikipages that are human-readable and data files that can be read automatically by software. As a result, with minor exceptions, the rules concerning page preparation are recommended, while those concerning data files are considered obligatory (with exceptions, for example, for new types of nonlinear models).

==Benchmark Creation==
Anyone who has an example that could be relevant for the benchmark collection can add it after the editors have approved it. Simply write an email to the editors describing the benchmark to be created. Ideally, one should be able to point to an existing data set and publication. If the editors accept the benchmark, they then grant access to the submitter and create an empty page for the benchmark, which the submitter must then edit with a description of the benchmark, uploaded data files, and any supplementary documents, all of which should be linked within the page itself. See 2.1 for the content requirement.

==Content Rules==

The supplementary documents as well as the wikipage may be written by different authors, however each individual document should be written according to conventional scientific practice; that is, it should describe the subject in such a way that, at least in principle, anyone could reproduce the results presented. The authors should understand that the document may be read by people from quite different disciplines. Hence, abbreviations should be avoided or at least explained and references to the background ideas should be provided.

===Page Name===
Be careful to choose a unique, concise name, around 2-3 words. This name will become a permanent attribute of the benchmark and will be used internally for downstream purposes.

===Content Requirement===
Most of this content can be included in the wiki page directly. However, this is not necessary.
One should describe the origin of the dynamical system and its relevance to the application area. It is important to present the mathematical model, the meaning of the inputs and outputs, and the desired behavior from the application viewpoint.

The following points should be considered and if possible included in the benchmark description:

* The purpose of the model should be explained clearly. (For instance, simulation, iterative system design, feedback control design, ...)
* Why should the model be reduced at all? (For instance, reducing simulation time, reducing implementation effort in observers, controllers...)
* What are the QUALITATIVE requirements to the reduced model? What variables are to be approximated well? Is the step response to be approximated or is it the Bode plot? What are typical input signals? (Some systems are driven by a step function and nothing else, others are driven by a wide variety of input signals, others are used in closed loops and can cause instabilities, although being stable themselves.)
* What are the QUANTITATIVE requirements to the reduced model? Best would be if the authors of any individual model can suggest some cost functions (performance indices) to be used for the comparison. These can be in time domain, or in frequency domain (including bandwidth), or both.
* Are there limits of input and state variables known? (application related or generally)? What are the physical limits where the model becomes useless/false? If known a-priori: Out of the technically typical input signals, which one will cause "the most nonlinear" behavior?
* How many parameters are included in the model, are they physical parameters or geometrical parameters.
* Is the system linear or nonlinear? Is it a first or a second order system?
* When the model is used to test, e.g. an algorithm, can some of the parameters in the model be fixed, such that the model includes fewer parameters, which makes the testing easier?
* If possible, the source code generating the model should be provided.
* We stress the importance of describing the software employed, as well as its related options. For example, if the model is generated from ANSYS, the software ANSYS better be mentioned. If necessary, please also describe some related options like boundary conditions, initial conditions, and other parameters which need to be assigned when generating the model. Please go to the benchmark webpage [[Silicon nitride membrane]] for a reference.
* If the dynamical system is obtained from partial differential equations, then the information about material properties, geometrical data, and initial and boundary conditions should be given. The exception to this rule is the case when the original model comes from industry. In this case, if trade secrets are tied with the information mentioned, it may be kept hidden.
* The authors are encouraged to produce several dynamical models of different dimensions in order to provide an opportunity to apply different software and to research scalability issues. If an author has an interactive page on their server to generate benchmarks, a link to this page is welcome.
* The dynamical system may be obtained by means of compound matrices, for example, when the second-order system is converted to first-order. In this case, the document should describe such a transformation but in the data file the original and not the compound matrices should be given. This allows for researching other ways of model reduction of the original system.

The above information is in a general sense. Therefore, some items may not be applicable to certain benchmarks. However, it is recommended that the items that apply to the benchmark provided be fully considered.

===Additional Content===

This will typically be given in form of a document which we restrict to the following types: *.pdf, *.gif, *.jpeg, *.jpg, *.png,. This documents should include author names.

# The solution of the original benchmark that contains sample outputs for the usual input signals. Plots and numerical values of time and frequency response. Eigenvalues and eigenvectors, singular values, poles, zeros, etc.
# Model reduction and its results as compared to the original system.
# Description of any other related results.
# We stress the importance of describing the software employed as well as its related options.

===Metadata===
To aid in the categorization of benchmarks, we request that submitters provide the following information explicitly:
* List of author names in Last, F. format
* Citation in standard format
* License (see, e.g., https://tldrlegal.com/)
* Model components (which should match what is submitted in the data file(s))
* Differentiation index of DAE: 0, 1, 2, etc. (0 indicates ODE)
* Is the system... (boolean responses only)
** a DAE? (must be 1 if differentiation index is nonzero)
** affine parametric?
** block structured?
** bilinear?
** control affine?
** dissipative?
** nonlinear?
** passive?
** Port-Hamiltonian?
** square?
** stable?
** state-space symmetric?
** symmetric?
** quadratic bilinear?

Additional metadata will be automatically generated internally for the purposes of searchability and categorization.

==Data Files==

All the numerical data for the collection is regarded as a list of matrices, a vector being a m x 1 matrix. Consequently, we have implemented a strict naming scheme for matrices corresponding to different models. See [[Models]].

An author can suggest another naming standard in the case when the templates outlined in [[Models]] are insufficient. Otherwise exceptions will not be permitted.

===File standard===
A single benchmark instance should be saved in the .mat (https://de.mathworks.com/help/matlab/import_export/mat-file-versions.html) file format. To accommodate multiple languages, features, and the benchmark comparison tool (currently under development), we recommend v7.2 (https://docs.scipy.org/doc/scipy-0.14.0/reference/generated/scipy.io.loadmat.html). For example, the file associated to [[CD Player]] contains three matrices <math>A</math>, <math>B</math>, <math>C</math>.

Other file formats are accepted, as long as the naming scheme outlined in [[Models]] is adhered to. The editors reserve the right to adapt any data to fit our standards, and we may additionally add metadata to .mat file.

==References==

* 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.
* 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.
* 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.

Editors:
{{editors}}

Models

2024-03-25T14:28:03Z

Saak:

[[Category:Benchmark]]

==Benchmark Model Templates==
This page specifies templates for the types of models used as benchmark systems. In particular, the naming schemes established here are used in the corresponding data sets for all benchmarks. For example, <math>A</math> always serves as the name of the component matrix applied to the state <math>x(t)</math> in a linear time-invariant, first-order system.
For all models we assume an input <math>u : \mathbb{R} \to \mathbb{R}^m</math>, with components <math>u_j, j = 1, \ldots, m</math>,
a state <math>x : \mathbb{R} \to \mathbb{R}^n</math>,
and an output <math>y : \mathbb{R} \to \mathbb{R}^q</math>.
For all parametric models, we assume each component has <math>\ell</math> parameters; in cases where a component has fewer than <math>\ell</math> parameters, the extras are treated as <math>0</math>.
Some benchmarks (e.g., [[Bone Model]]) have a constant forcing term, in which case, it is assumed that <math>u(t)</math> is identically <math>1</math>.

===Linear Time-Invariant First-Order System (LTI-FOS)===

:<math>
\begin{align}
E\dot{x}(t) &= Ax(t) + Bu(t),\\
y(t) &= Cx(t) + Du(t),
\end{align}
</math>

with

<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}^{q \times n}</math>,
<math>D \in \mathbb{R}^{q \times m}</math>.

By default <math>E = I</math> and <math>D = 0</math>, unless explicitly provided.

===Linear Time-Varying First-Order System (LTV-FOS)===

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

with

<math>E : \mathbb{R} \to \mathbb{R}^{n \times n}</math>,
<math>A : \mathbb{R} \to \mathbb{R}^{n \times n}</math>,
<math>B : \mathbb{R} \to \mathbb{R}^{n \times m}</math>,
<math>C : \mathbb{R} \to \mathbb{R}^{q \times n}</math>,
<math>D : \mathbb{R} \to \mathbb{R}^{q \times m}</math>.

By default <math>E = I</math> and <math>D = 0</math>, unless explicitly provided.

===Affine-Parametric LTI-FOS (AP-LTI-FOS)===

:<math>
\begin{align}
(E + \sum_{i=1}^{\ell} p^E_i E_i)\dot{x}(t) &= (A + \sum_{i=1}^{\ell} p^A_i A_i) x(t) + (B + \sum_{i=1}^{\ell} p^B_i B_i)u(t),\\
y(t) &= (C + \sum_{i=1}^{\ell} p^C_i C_i)x(t),
\end{align}
</math>

with

<math>E, E_i \in \mathbb{R}^{n \times n}</math>;
<math>A, A_i \in \mathbb{R}^{n \times n}</math>;
<math>B, B_i \in \mathbb{R}^{n \times m}</math>; and
<math>C, C_i \in \mathbb{R}^{q \times n}</math>,
for all <math>i = 1, \ldots, \ell</math>.

By default <math>E = I, E_i = 0</math>, unless explicitly provided. If <math>A_i</math> are provided without <math>A</math>, then it is assumed <math>A = 0</math>. Likewise for <math>B</math>, <math>C</math>, and <math>E</math>.

===Linear Time-Invariant Second-Order System (LTI-SOS)===

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

with

<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 m}</math>,
<math>C_p, C_v \in \mathbb{R}^{q \times n}</math>,
<math>D \in \mathbb{R}^{q \times m}</math>.

When <math>C_v = 0</math>, we denote <math>C = C_p</math>. By default <math>E = I</math> and <math>D = 0</math>, unless explicitly provided.

===Affine-Parametric LTI-SOS (AP-LTI-SOS)===

:<math>
\begin{align}
(M + \sum_{i=1}^{\ell} p^M_i M_i)\ddot{x}(t) + (E + \sum_{i=1}^{\ell} p^E_i E_i)\dot{x}(t) + (K + \sum_{i=1}^{\ell} p^K_i K_i)x(t) &= (B + \sum_{i=1}^{\ell} p^B_i B_i) u(t), \\
y(t) &= (C + \sum_{i=1}^{\ell} p^C_i C_i) x(t),
\end{align}
</math>

with

<math>M, M_i \in \mathbb{R}^{n \times n}</math>;
<math>E, E_i \in \mathbb{R}^{n \times n}</math>;
<math>K, K_i \in \mathbb{R}^{n \times n}</math>;
<math>B, B_i \in \mathbb{R}^{n \times m}</math>; and
<math>C, C_i \in \mathbb{R}^{q \times n}</math>,
for all <math>i = 1, \ldots, \ell</math>.

By default <math>E = I, E_i = 0</math>, unless explicitly provided. If <math>M_i</math> are provided without <math>M</math>, then it is assumed <math>M = 0</math>. Likewise for <math>K</math>, <math>B</math>, and <math>C</math>.

===Quadratic-Bilinear System (QBS)===

:<math>
\begin{align}
E\dot{x}(t) &= A x(t) + H x(t) \otimes x(t) + \sum_{j=1}^m N_j x(t) u_j(t) + B u(t), \\
y(t) &= Cx(t) + Du(t),
\end{align}
</math>

with

<math>E \in \mathbb{R}^{n \times n}</math>,
<math>A \in \mathbb{R}^{n \times n}</math>,
<math>H \in \mathbb{R}^{n \times n^2}</math>,
<math>N_j \in \mathbb{R}^{n \times n}</math>,
<math>B \in \mathbb{R}^{n \times m}</math>,
<math>C \in \mathbb{R}^{q \times n}</math>,
<math>D \in \mathbb{R}^{q \times m}</math>.

===Nonlinear Time-Invariant First-Order System (NLTI-FOS)===

:<math>
\begin{align}
E\dot{x}(t) &= Ax(t) + Bu(t) + F f(x(t),u(t)),\\
y(t) &= Cx(t) + Du(t),
\end{align}
</math>

with

<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}^{q \times n}</math>,
<math>D \in \mathbb{R}^{q \times m}</math>,
<math>F \in \mathbb{R}^{n \times n}</math>,
<math>f : \mathbb{R}^n \times \mathbb{R}^m \to \mathbb{R}^n</math>.

By default <math>F = I</math>, <math>E = I</math>, <math>D = 0</math>, unless explicitly provided.

===Nonlinear Time-Invariant Second-Order System (NLTI-SOS)===

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

with

<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 m}</math>,
<math>F \in \mathbb{R}^{n \times n}</math>,
<math>C_p, C_v \in \mathbb{R}^{q \times n}</math>,
<math>D \in \mathbb{R}^{q \times m}</math>,
<math>f : \mathbb{R}^n \times \mathbb{R}^m \to \mathbb{R}^n</math>.

When <math>C_v = 0</math>, we denote <math>C = C_p</math>.

By default <math>F = I</math>, <math>E = I</math>, <math>D = 0</math>, unless explicitly provided.

===Other System Classes===
Affine-parametric and time-varying versions of nonlinear systems are clearly also possible by combining patterns of the above models.

Template:Benchmark not recommended

2023-12-06T10:43:57Z

Saak:

'''Due to unresolved license issues, we strongly advise against using this benchmark example in new experiments.'''

Template:Benchmark not recommended

2023-12-06T10:41:58Z

Saak: Saak moved page Template:Benchmark not reccommended to Template:Benchmark not recommended without leaving a redirect

'''Due to unresolved license issues, we strongly advise against using this benchmark example in new experiments.'''

Template:Benchmark not recommended

2023-12-06T10:41:17Z

Saak: Created page with "'''Due to unresolved license issues, we strongly advi..."

Power system examples

2023-11-24T09:38:55Z

Saak: /* Test systems for small-signal stability analysis of large electric power system networks */

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

{{Infobox
|Title = Power System Examples
|Benchmark ID =
* bauru5727_n40366m2q2
* bips071693_n13275m4q4
* bips071998_n15066m4q4
* bips072476_n16861m4q4
* bips073078_n21128m4q4
* bips1997_n13250m1q1
* bips2007_n21476m32q32
* bips97_n13251m1q1
* bips97mimo28_n13251m28q28
* bips97mimo46_n13250m46q46
* bips97mimo8_n13309m8q8
* bips981142_n9735m4q4
* bips981450_n11305m4q4
* bips98606_n7135m4q4
* juba5723_n40337m2q1
* newEngland_n66m1q1
* nopss_n11685m1q1
* xingo6u_n20738m1q6
* zerosnopss_n13296m46q46
|Category = power_system
|System-Class = LTI-FOS
|nstates =
* 40366
* 13275
* 15066
* 16861
* 21128
* 13250
* 21476
* 13251
* 13251
* 13250
* 13309
* 9735
* 11305
* 7135
* 40337
* 66
* 11685
* 20738
* 13296
|ninputs =
* 2
* 4
* 4
* 4
* 4
* 1
* 32
* 1
* 28
* 46
* 8
* 4
* 4
* 4
* 2
* 1
* 1
* 1
* 46
|noutputs =
* 2
* 4
* 4
* 4
* 4
* 1
* 32
* 1
* 28
* 46
* 8
* 4
* 4
* 4
* 1
* 1
* 1
* 6
* 46
|nparameters = 0
|components =
* A, B, C, E
* A, B, C, E
* A, B, C, E
* A, B, C, E
* A, B, C, E
* A, B, C, E
* A, B, C, D, E
* A, B, C, E
* A, B, C, E
* A, B, C, E
* A, B, C, E
* A, B, C, E
* A, B, C, E
* A, B, C, E
* A, B, C, E
* A, B, C
* A, B, C, D, E
* A, B, C, E
* A, B, C, E
|License = NA
|Creator = [[User:Rommes]]
|Editor =
* [[User:Rommes]]
* [[User:Kuerschner]]
* [[User:Himpe]]
|Zenodo-link = NA
}}

__NUMBEREDHEADINGS__

==Description==

These first order systems are given in generalized state space form

:<math>
\begin{array}{rcl}
E\dot{x}(t)&=&A x(t)+B u(t), \\
y(t)&=&Cx(t)+Du(t),
\end{array}
</math>
where <math>E,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>, <math>D\in\mathbb{R}^{p\times m}</math>,
and originated at [http://www.cepel.br/ CEPEL] for simulating large '''power systems'''.

They come in different sizes and variants, including both SISO and MIMO systems having regular or singular <math>E</math> matrices. In the latter case the DAEs are of index 1 (except for PI Sections 20--80 which are index 2) and using simple row and column permutations, <math>E,A,B,C</math> can be brought into the form

:<math>
E=\left[ \begin{array}{cc}I_{n_f}&0\\0&0\end{array}\right],\quad A=\left[ \begin{array}{cc}A_{11}&A_{12}\\A_{21}&A_{22}\end{array}\right],\quad B=\left[ \begin{array}{cc}B_{1}\\B_2\end{array}\right],\quad C=\left[ \begin{array}{cc}C_{1}&C_2\end{array}\right],
</math>

where <math>n_f</math> denotes the number of finite eigenvalues in <math>\Lambda(A,E)</math> and <math>A_{22}\in\mathbb{R}^{n-n_f\times n-n_f}</math> is regular.
A complete overview over these systems can be found in table below. The '''power systems''' served as benchmark examples for [[Modal truncation|Dominant Pole based Modal Truncation]]<ref name="MarLP96"></ref><ref name="RomM06a"></ref><ref name="RomM06b"></ref><ref name="Rom07"></ref><ref name="RomM08"></ref><ref name="Kue10"></ref> and for a special adaption<ref name="FreRM08"></ref> of [[Balanced Truncation]] for the index-1 DAE systems.

==Data==
The table below lists the charateristics of all '''power systems'''. The files can be downloaded at [https://sites.google.com/site/rommes/software https://sites.google.com/site/rommes/software].

{| class="wikitable sortable" style="text-align: center; width: auto;"
|-
! Name
! <math>n</math>
! <math>m</math>
! <math>p</math>
! Type
|-
|New England
|66
|1
|1
|ODE
|-
|BIPS/97
|13251
|1
|1
|DAE
|-
|BIPS/1997
|13250
|1
|1
|DAE
|-
|BIPS/2007
|21476
|32
|32
|DAE
|-
|BIPS/97,MIMO8
|13309
|8
|8
|DAE
|-
|BIPS/97,MIMO28
|13251
|28
|28
|DAE
|-
|BIPS/97,MIMO46
|13250
|46
|46
|DAE
|-
|Juba5723
|40337
|2
|1
|DAE
|-
|Bauru5727
|40366
|2
|2
|DAE
|-
|zeros_nopss
|13296
|46
|46
|DAE
|-
|xingo6u
|20738
|1
|6
|DAE
|-
|nopss
|11685
|1
|1
|DAE
|-
|bips98_606
|7135
|4
|4
|DAE
|-
|bips98_1142
|9735
|4
|4
|DAE
|-
|bips98_1450
|11305
|4
|4
|DAE
|-
|bips07_1693
|13275
|4
|4
|DAE
|-
|bips07_1998
|15066
|4
|4
|DAE
|-
|bips07_2476
|16861
|4
|4
|DAE
|-
|bips07_3078
|21128
|4
|4
|DAE
|-
|PI Sections:
|
|
|
|
|-
|S10
|682
|1
|1
|DAE
|-
|S20
|1182
|1
|1
|DAE
|-
|S40
|2182
|1
|1
|DAE
|-
|S80
|4182
|1
|1
|DAE
|-
|M10
|682
|3
|3
|DAE
|-
|M20
|1182
|3
|3
|DAE
|-
|M40
|2182
|3
|3
|DAE
|-
|M80
|4182
|3
|3
|DAE
|-
|}

==Background==
Electrical '''power systems''' experience several steady-state and dynamic phenomena that may hinder its reliable, stable operation if not properly designed and operated. Among the dynamic phenomena, '''power system''' angle stability is of major concern, its studies requiring both numerical integration of a stiff set of large, nonlinear differential-algebraic (DAE) equations (for transient stability simulations) and the eigensolution as well as the use of other numerical linear algebra (NLA) algorithms applied to the linearized DAE equations of the same large stability models. '''Power systems''' with multiple electrical power plants, consumer loads, and industrial loads experience complex electromechanical oscillations, much as spring-mass mechanical systems experience mechanical oscillations. These oscillations, when the electric '''power system''' is under stressed conditions, may become poorly damped or unstable. The analysis of these low-frequency oscillations, as well as their controller-induced damping control, is enhanced by the results from NLA algorithms. The study of all these issues constitutes the field known as small signal stability.

There is a pressing need for better utilization of the transmission network and its cost-effective expansions to reliably carry electric power from the generating plants, driven by several primary energy sources, to the loads. This imposes stricter requirements on network design and '''power system''' control equipment, as well as on the adopted control laws, which, coupled with the continental dimensions of modern interconnected '''power systems''', must be studied with the help of simulators employing advanced NLA algorithms. This wiki page contains system models developed when dealing with these NLA issues, with emphasis on the analysis and control of small signal stability.

Modal analysis has been used for Model Order Reduction (MOR) of lightly damped systems like flexible mechanical structures and RLC networks from either '''power systems''' or microprocessor interconnectors. The advent of subspace accelerated dominant pole algorithms in <ref name="MarLP96"></ref><ref name="RomM06a"></ref><ref name="RomM06b"></ref>, made modal reduction effective for better damped systems, such as interconnected '''power systems''', which have eigenvalue clusters in the <math>0.2</math> to <math>2.0 \mathrm{Hz}</math> range and damping ratios between <math>-0.05</math> and <math>0.25</math>. Important characteristics of model reduction methods include preserving the dominant dynamics and stability in the Reduced Order Models (ROMs).

Model reduction is important to the linear control system analysis and design of '''power system''' dynamic models. Reduced-order '''power system''' transfer function models are effective in lowering the computational costs of controller design. Once the dominant transfer function poles have been found, the calculation of their associated residues can be obtained by the scalar product of the left and right eigenvectors by the input and output vectors of the transfer function. From the knowledge of the dominant pole-residue set, one can build a transfer function ROM whose accuracy varies with the number of retained poles. See, e.g., the SADPA, SAMDP papers <ref name="RomM06a"></ref><ref name="RomM06b"></ref>.

Modal analysis is also used in the harmonic distortion analysis of '''power system''' networks, mainly in subtransmission and distribution voltage levels. In this application, modal analysis allows for determining the main network parameters that impact distortion levels and suggests changes to their effective values among other alternatives. The linear RLC network is modeled unloaded, the conventional electrical generators can be entirely neglected and the nonlinear loads of various nature are modeled as current injections into the network buses -3rd, 5th, 7th, 11th, 13th harmonics of the nominal system frequency (<math>50 \mathrm{Hz}</math> or <math>60 \mathrm{Hz}</math>). An even more important application for the modal analysis of these large descriptor system RLC network models is the production of ROM for multiport electrical networks, generally in the form of a state-space system whose dimension is considerably smaller than that of the original system. When these ROMs take the form of RLC networks, they are referred to as RLC reduced equivalents. These ROMs, or equivalents, are used in real-time and off-line simulators for the study of '''power system''' high-frequency transient phenomena. They are produced in varying degrees of complexity by using advanced NLA algorithms, which is an area of intense research work.

==Test systems for small-signal stability analysis of large electric power system networks==
All test '''power systems''' in [https://sites.google.com/site/rommes/software https://sites.google.com/site/rommes/software], except the PI sections example, are used for '''power system''' small-signal stability studies, and several of them are briefly described in <ref name="MarLP96"></ref>. Such studies include stability analysis, controller design, computation of MOR, etc. The dynamic phenomena of interest require the detailed modeling of the electrical energy generators (mainly the large sized ones) and other important devices such as flexible AC transmission systems (FACTS). The 3-phase alternating current (AC) network consists of nodes (electrical buses), which may be the representation of an entire electrical energy transmission (or distribution) substation, and branches (transmission lines, transformers, series capacitors) and need to have only a static model in this application except for the occasional high-power electronic HVDC (High voltage direct current) transmission links and FACTS devices.

The input <math>u(t)</math> depends on the study of interest, but the excitation system voltage reference is a frequent input variable in small-signal stability studies. Another reference is the active power setpoint of a rotor-speed regulator. The input signal used in all the above-mentioned files is of Vref type. The output could be an entry of the generalized state <math>x(t)</math> (state or algebraic variable) or a linear combination of these variables. The generalized states <math>x(t)</math> are associated with equations of generators, controllers, and network. The interconnected network has only algebraic variables, except when FACTS devices are connected.
The test systems are represented by generalized state-space models, see above, where the feed through matrix <math>D</math> is generally zero.

==Test systems for electromagnetic transients and harmonic distortion studies==
Depending on the harmonic study at hand, a voltage or current source can be assigned as an input. In <ref name="MarLP96"></ref> the current injection <math>u(t)</math> at a node (also, electrical bus, in '''power system''' terminology) is the input, while the nodal voltage, at the same node, is the output (variable <math>y(t)</math>).

All transmission lines in the network are modeled by RLC ladder networks, of cascaded RLC PI-circuits, having fixed parameters <ref name="Wat03"></ref>. The transformers are modeled by series RL circuits. Loads and shunt elements are represented by series-connected RL (or RC) branch, or just an L (or C). As a consequence, the states <math>x(t)</math> of the dynamic system are either the current through an inductor or the voltage across a capacitor. So matrices <math>A, B, C, D, E</math> describe how each circuit element equation, node and voltage are connected, according to the Kirchhoff’s law.

On https://sites.google.com/site/rommes/software the systems labeled by PI Sections 20--80 are of index-2 ([https://drive.google.com/file/d/1ttJgCZeNEspA3Ty7vNPtsuPqo_-Qa-6g/view SISO_PI_n.zip and MIMO_PI_n.zip]). The data of these test systems can be converted into index-0 systems by applying a procedure for symbolic math elimination of algebraic variables and redundant state variables. This procedure is detailed in the Appendix C of <ref name="FreRM11"></ref>.

==References==
<references>
<ref name="MarLP96">N. Martins, L. Lima, and H. Pinto, "[https://doi.org/10.1109/59.486093 Computing dominant poles of power system transfer functions]", IEEE Transactions on
Power Systems, 11: 162--170, 1996.</ref>

<ref name="RomM06a">J. Rommes and N. Martins, "[https://doi.org/10.1109/TPWRS.2006.876671 Efficient computation of transfer function dominant poles using subspace acceleration]", IEEE Transactions on
Power Systems, 21(3): 1218--1226, 2006.</ref>

<ref name="RomM06b">J. Rommes and N. Martins, "[https://doi.org/10.1109/TPWRS.2006.881154 Efficient computation of multivariable transfer function dominant poles using subspace acceleration]", IEEE Transactions on
Power Systems, 21(4): 1471--1483, 2006.</ref>

<ref name="Rom07">J. Rommes, "[https://dspace.library.uu.nl/handle/1874/21787 Methods for eigenvalue problems with applications in model order reduction]", Ph.D. dissertation, Universiteit
Utrecht, 2007.</ref>

<ref name="RomM08">J. Rommes and N. Martins, "[https://doi.org/10.1137/070684562 Computing transfer function dominant poles of large second-order dynamical systems]" SIAM Journal on Scientific Computing, 30(4): 2137--2157, 2008.</ref>

<ref name="FreRM08">F. Freitas, J. Rommes, and N. Martins, "[https://doi.org/10.1109/TPWRS.2008.926693 Gramian-based reduction method applied to large sparse power system descriptor models]" IEEE Transactions on Power Systems, 23(3): 1258--1270, 2008.</ref>

<ref name="Kue10">P. Kürschner, "[http://nbn-resolving.de/urn:nbn:de:bsz:ch1-201001082 Two-sided eigenvalue methods for modal approximation]”, Master’s thesis, Chemnitz University of Technology,
Department of Mathematics, Germany, 2010.</ref>

<ref name="FreRM11">F. D. Freitas, N. Martins, S. L. Varricchio, J. Rommes and F. C. Veliz, "[https://doi.org/10.1109/TPWRS.2011.2136442 Reduced-Order Transfer Matrices from RLC Network Descriptor Models of Electric Power Grids]” IEEE Transactions on Power Systems, 26(4): 1905--1916, 2011.</ref>

<ref name="Wat03">N. Watson and J. Arrillaga, "[http://dx.doi.org/10.1049/PBPO039E Power Systems Electromagnetic Transients Simulation]”, IET, London, UK, 2003.</ref>
</references>

==Contact==

[[User:Rommes|Joost Rommes]] 
[[User:kuerschner|Patrick Kürschner]] 
[http://www.nelsonmartins.com/ Nelson Martins] 
[http://www.ene.unb.br/index.php/component/professores/index.php?option=com_professores&view=professores&layout=perfil&id=131 Francisco D. Freitas]

Power system examples

2023-11-24T09:35:26Z

Saak:

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

{{Infobox
|Title = Power System Examples
|Benchmark ID =
* bauru5727_n40366m2q2
* bips071693_n13275m4q4
* bips071998_n15066m4q4
* bips072476_n16861m4q4
* bips073078_n21128m4q4
* bips1997_n13250m1q1
* bips2007_n21476m32q32
* bips97_n13251m1q1
* bips97mimo28_n13251m28q28
* bips97mimo46_n13250m46q46
* bips97mimo8_n13309m8q8
* bips981142_n9735m4q4
* bips981450_n11305m4q4
* bips98606_n7135m4q4
* juba5723_n40337m2q1
* newEngland_n66m1q1
* nopss_n11685m1q1
* xingo6u_n20738m1q6
* zerosnopss_n13296m46q46
|Category = power_system
|System-Class = LTI-FOS
|nstates =
* 40366
* 13275
* 15066
* 16861
* 21128
* 13250
* 21476
* 13251
* 13251
* 13250
* 13309
* 9735
* 11305
* 7135
* 40337
* 66
* 11685
* 20738
* 13296
|ninputs =
* 2
* 4
* 4
* 4
* 4
* 1
* 32
* 1
* 28
* 46
* 8
* 4
* 4
* 4
* 2
* 1
* 1
* 1
* 46
|noutputs =
* 2
* 4
* 4
* 4
* 4
* 1
* 32
* 1
* 28
* 46
* 8
* 4
* 4
* 4
* 1
* 1
* 1
* 6
* 46
|nparameters = 0
|components =
* A, B, C, E
* A, B, C, E
* A, B, C, E
* A, B, C, E
* A, B, C, E
* A, B, C, E
* A, B, C, D, E
* A, B, C, E
* A, B, C, E
* A, B, C, E
* A, B, C, E
* A, B, C, E
* A, B, C, E
* A, B, C, E
* A, B, C, E
* A, B, C
* A, B, C, D, E
* A, B, C, E
* A, B, C, E
|License = NA
|Creator = [[User:Rommes]]
|Editor =
* [[User:Rommes]]
* [[User:Kuerschner]]
* [[User:Himpe]]
|Zenodo-link = NA
}}

__NUMBEREDHEADINGS__

==Description==

These first order systems are given in generalized state space form

:<math>
\begin{array}{rcl}
E\dot{x}(t)&=&A x(t)+B u(t), \\
y(t)&=&Cx(t)+Du(t),
\end{array}
</math>
where <math>E,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>, <math>D\in\mathbb{R}^{p\times m}</math>,
and originated at [http://www.cepel.br/ CEPEL] for simulating large '''power systems'''.

They come in different sizes and variants, including both SISO and MIMO systems having regular or singular <math>E</math> matrices. In the latter case the DAEs are of index 1 (except for PI Sections 20--80 which are index 2) and using simple row and column permutations, <math>E,A,B,C</math> can be brought into the form

:<math>
E=\left[ \begin{array}{cc}I_{n_f}&0\\0&0\end{array}\right],\quad A=\left[ \begin{array}{cc}A_{11}&A_{12}\\A_{21}&A_{22}\end{array}\right],\quad B=\left[ \begin{array}{cc}B_{1}\\B_2\end{array}\right],\quad C=\left[ \begin{array}{cc}C_{1}&C_2\end{array}\right],
</math>

where <math>n_f</math> denotes the number of finite eigenvalues in <math>\Lambda(A,E)</math> and <math>A_{22}\in\mathbb{R}^{n-n_f\times n-n_f}</math> is regular.
A complete overview over these systems can be found in table below. The '''power systems''' served as benchmark examples for [[Modal truncation|Dominant Pole based Modal Truncation]]<ref name="MarLP96"></ref><ref name="RomM06a"></ref><ref name="RomM06b"></ref><ref name="Rom07"></ref><ref name="RomM08"></ref><ref name="Kue10"></ref> and for a special adaption<ref name="FreRM08"></ref> of [[Balanced Truncation]] for the index-1 DAE systems.

==Data==
The table below lists the charateristics of all '''power systems'''. The files can be downloaded at [https://sites.google.com/site/rommes/software https://sites.google.com/site/rommes/software].

{| class="wikitable sortable" style="text-align: center; width: auto;"
|-
! Name
! <math>n</math>
! <math>m</math>
! <math>p</math>
! Type
|-
|New England
|66
|1
|1
|ODE
|-
|BIPS/97
|13251
|1
|1
|DAE
|-
|BIPS/1997
|13250
|1
|1
|DAE
|-
|BIPS/2007
|21476
|32
|32
|DAE
|-
|BIPS/97,MIMO8
|13309
|8
|8
|DAE
|-
|BIPS/97,MIMO28
|13251
|28
|28
|DAE
|-
|BIPS/97,MIMO46
|13250
|46
|46
|DAE
|-
|Juba5723
|40337
|2
|1
|DAE
|-
|Bauru5727
|40366
|2
|2
|DAE
|-
|zeros_nopss
|13296
|46
|46
|DAE
|-
|xingo6u
|20738
|1
|6
|DAE
|-
|nopss
|11685
|1
|1
|DAE
|-
|bips98_606
|7135
|4
|4
|DAE
|-
|bips98_1142
|9735
|4
|4
|DAE
|-
|bips98_1450
|11305
|4
|4
|DAE
|-
|bips07_1693
|13275
|4
|4
|DAE
|-
|bips07_1998
|15066
|4
|4
|DAE
|-
|bips07_2476
|16861
|4
|4
|DAE
|-
|bips07_3078
|21128
|4
|4
|DAE
|-
|PI Sections:
|
|
|
|
|-
|S10
|682
|1
|1
|DAE
|-
|S20
|1182
|1
|1
|DAE
|-
|S40
|2182
|1
|1
|DAE
|-
|S80
|4182
|1
|1
|DAE
|-
|M10
|682
|3
|3
|DAE
|-
|M20
|1182
|3
|3
|DAE
|-
|M40
|2182
|3
|3
|DAE
|-
|M80
|4182
|3
|3
|DAE
|-
|}

==Background==
Electrical '''power systems''' experience several steady-state and dynamic phenomena that may hinder its reliable, stable operation if not properly designed and operated. Among the dynamic phenomena, '''power system''' angle stability is of major concern, its studies requiring both numerical integration of a stiff set of large, nonlinear differential-algebraic (DAE) equations (for transient stability simulations) and the eigensolution as well as the use of other numerical linear algebra (NLA) algorithms applied to the linearized DAE equations of the same large stability models. '''Power systems''' with multiple electrical power plants, consumer loads, and industrial loads experience complex electromechanical oscillations, much as spring-mass mechanical systems experience mechanical oscillations. These oscillations, when the electric '''power system''' is under stressed conditions, may become poorly damped or unstable. The analysis of these low-frequency oscillations, as well as their controller-induced damping control, is enhanced by the results from NLA algorithms. The study of all these issues constitutes the field known as small signal stability.

There is a pressing need for better utilization of the transmission network and its cost-effective expansions to reliably carry electric power from the generating plants, driven by several primary energy sources, to the loads. This imposes stricter requirements on network design and '''power system''' control equipment, as well as on the adopted control laws, which, coupled with the continental dimensions of modern interconnected '''power systems''', must be studied with the help of simulators employing advanced NLA algorithms. This wiki page contains system models developed when dealing with these NLA issues, with emphasis on the analysis and control of small signal stability.

Modal analysis has been used for Model Order Reduction (MOR) of lightly damped systems like flexible mechanical structures and RLC networks from either '''power systems''' or microprocessor interconnectors. The advent of subspace accelerated dominant pole algorithms in <ref name="MarLP96"></ref><ref name="RomM06a"></ref><ref name="RomM06b"></ref>, made modal reduction effective for better damped systems, such as interconnected '''power systems''', which have eigenvalue clusters in the <math>0.2</math> to <math>2.0 \mathrm{Hz}</math> range and damping ratios between <math>-0.05</math> and <math>0.25</math>. Important characteristics of model reduction methods include preserving the dominant dynamics and stability in the Reduced Order Models (ROMs).

Model reduction is important to the linear control system analysis and design of '''power system''' dynamic models. Reduced-order '''power system''' transfer function models are effective in lowering the computational costs of controller design. Once the dominant transfer function poles have been found, the calculation of their associated residues can be obtained by the scalar product of the left and right eigenvectors by the input and output vectors of the transfer function. From the knowledge of the dominant pole-residue set, one can build a transfer function ROM whose accuracy varies with the number of retained poles. See, e.g., the SADPA, SAMDP papers <ref name="RomM06a"></ref><ref name="RomM06b"></ref>.

Modal analysis is also used in the harmonic distortion analysis of '''power system''' networks, mainly in subtransmission and distribution voltage levels. In this application, modal analysis allows for determining the main network parameters that impact distortion levels and suggests changes to their effective values among other alternatives. The linear RLC network is modeled unloaded, the conventional electrical generators can be entirely neglected and the nonlinear loads of various nature are modeled as current injections into the network buses -3rd, 5th, 7th, 11th, 13th harmonics of the nominal system frequency (<math>50 \mathrm{Hz}</math> or <math>60 \mathrm{Hz}</math>). An even more important application for the modal analysis of these large descriptor system RLC network models is the production of ROM for multiport electrical networks, generally in the form of a state-space system whose dimension is considerably smaller than that of the original system. When these ROMs take the form of RLC networks, they are referred to as RLC reduced equivalents. These ROMs, or equivalents, are used in real-time and off-line simulators for the study of '''power system''' high-frequency transient phenomena. They are produced in varying degrees of complexity by using advanced NLA algorithms, which is an area of intense research work.

==Test systems for small-signal stability analysis of large electric power system networks==
All test '''power systems''' in [https://sites.google.com/site/rommes/software https://sites.google.com/site/rommes/software], except the PI sections example, are used for '''power system''' small-signal stability studies, and several of them are briefly described in <ref name="MarLP96"></ref>. Such studies include stability analysis, controller design, computation of MOR, etc. The dynamic phenomena of interest require the detailed modeling of the electrical energy generators (mainly the large sized ones) and other important devices such as flexible AC transmission systems (FACTS). The 3-phase alternating current (AC) network is comprised of nodes (electrical buses, which may be the representation of an entire electrical energy transmission (or distribution) substation, and branches (transmission lines, transformers, series capacitors) and need have only a static model in this application except for the occasional high-power electronic HVDC (High voltage direct current) transmission links and FACTS devices.

The input <math>u(t)</math> depends on the study of interest, but the excitation system voltage reference is a frequent input variable in small-signal stability studies. Another reference is the active power setpoint of a rotor-speed regulator. The input signal used in all the above mentioned files is of Vref type. The output could be an entry of the generalized state <math>x(t)</math> (state or algebraic variable) or a linear combination of these variables. The generalized states <math>x(t)</math> are associated with equations of generators, controllers and network. The interconnected network has only algebraic variables, except when FACTS devices are connected.
The test systems are represented by generalized state-space models, see <math>(1)</math>, where the feed through matrix <math>D</math> is generally zero.

==Test systems for electromagnetic transients and harmonic distortion studies==
Depending on the harmonic study at hand, a voltage or current source can be assigned as an input. In <ref name="MarLP96"></ref> the current injection <math>u(t)</math> at a node (also, electrical bus, in '''power system''' terminology) is the input, while the nodal voltage, at the same node, is the output (variable <math>y(t)</math>).

All transmission lines in the network are modeled by RLC ladder networks, of cascaded RLC PI-circuits, having fixed parameters <ref name="Wat03"></ref>. The transformers are modeled by series RL circuits. Loads and shunt elements are represented by series-connected RL (or RC) branch, or just an L (or C). As a consequence, the states <math>x(t)</math> of the dynamic system are either the current through an inductor or the voltage across a capacitor. So matrices <math>A, B, C, D, E</math> describe how each circuit element equation, node and voltage are connected, according to the Kirchhoff’s law.

On https://sites.google.com/site/rommes/software the systems labeled by PI Sections 20--80 are of index-2 ([https://drive.google.com/file/d/1ttJgCZeNEspA3Ty7vNPtsuPqo_-Qa-6g/view SISO_PI_n.zip and MIMO_PI_n.zip]). The data of these test systems can be converted into index-0 systems by applying a procedure for symbolic math elimination of algebraic variables and redundant state variables. This procedure is detailed in the Appendix C of <ref name="FreRM11"></ref>.

==References==
<references>
<ref name="MarLP96">N. Martins, L. Lima, and H. Pinto, "[https://doi.org/10.1109/59.486093 Computing dominant poles of power system transfer functions]", IEEE Transactions on
Power Systems, 11: 162--170, 1996.</ref>

<ref name="RomM06a">J. Rommes and N. Martins, "[https://doi.org/10.1109/TPWRS.2006.876671 Efficient computation of transfer function dominant poles using subspace acceleration]", IEEE Transactions on
Power Systems, 21(3): 1218--1226, 2006.</ref>

<ref name="RomM06b">J. Rommes and N. Martins, "[https://doi.org/10.1109/TPWRS.2006.881154 Efficient computation of multivariable transfer function dominant poles using subspace acceleration]", IEEE Transactions on
Power Systems, 21(4): 1471--1483, 2006.</ref>

<ref name="Rom07">J. Rommes, "[https://dspace.library.uu.nl/handle/1874/21787 Methods for eigenvalue problems with applications in model order reduction]", Ph.D. dissertation, Universiteit
Utrecht, 2007.</ref>

<ref name="RomM08">J. Rommes and N. Martins, "[https://doi.org/10.1137/070684562 Computing transfer function dominant poles of large second-order dynamical systems]" SIAM Journal on Scientific Computing, 30(4): 2137--2157, 2008.</ref>

<ref name="FreRM08">F. Freitas, J. Rommes, and N. Martins, "[https://doi.org/10.1109/TPWRS.2008.926693 Gramian-based reduction method applied to large sparse power system descriptor models]" IEEE Transactions on Power Systems, 23(3): 1258--1270, 2008.</ref>

<ref name="Kue10">P. Kürschner, "[http://nbn-resolving.de/urn:nbn:de:bsz:ch1-201001082 Two-sided eigenvalue methods for modal approximation]”, Master’s thesis, Chemnitz University of Technology,
Department of Mathematics, Germany, 2010.</ref>

<ref name="FreRM11">F. D. Freitas, N. Martins, S. L. Varricchio, J. Rommes and F. C. Veliz, "[https://doi.org/10.1109/TPWRS.2011.2136442 Reduced-Order Transfer Matrices from RLC Network Descriptor Models of Electric Power Grids]” IEEE Transactions on Power Systems, 26(4): 1905--1916, 2011.</ref>

<ref name="Wat03">N. Watson and J. Arrillaga, "[http://dx.doi.org/10.1049/PBPO039E Power Systems Electromagnetic Transients Simulation]”, IET, London, UK, 2003.</ref>
</references>

==Contact==

[[User:Rommes|Joost Rommes]] 
[[User:kuerschner|Patrick Kürschner]] 
[http://www.nelsonmartins.com/ Nelson Martins] 
[http://www.ene.unb.br/index.php/component/professores/index.php?option=com_professores&view=professores&layout=perfil&id=131 Francisco D. Freitas]

Main Page

2023-11-21T16:48:08Z

Saak: /* MORB: Model Order Reduction Benchmarker */

<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{http://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"
|<categorytree mode=all>Benchmark</categorytree> || <categorytree mode=all>Method</categorytree> || <categorytree mode=all>Software</categorytree> || <categorytree mode=all>Miscellaneous</categorytree>
|}

MORB

2023-11-16T15:33:50Z

Saak:

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

== Overview ==
An overview of MaRDI and MORB are provided in the poster, which was presented at [https://more.sciencesconf.org/ Model Reduction and Surrogate Modeling (MORE)], 19-23 September 2022, Berlin, Germany.

[[File:Morb2022.pdf|180px]]

== mini-MORB (snapshot of MATLAB prototype) ==
A MATLAB prototype for linear-time-invariant, first-order systems (LTI-FOS) is largely operational. An example [https://morwiki.mpi-magdeburg.mpg.de/morwiki/index.php/File:CdPlayer_n120m2q2.pdf report] for the [[CD Player]] benchmark is provided.

Please also see the [https://onlinelibrary.wiley.com/doi/10.1002/pamm.202300147 report] published in PAMM, as well as the accompanying [https://zenodo.org/record/8093833 code] hosted at Zenodo.

<nowiki>
@article{BenLS23,
title = {Towards a benchmark framework for model order reduction in the {{Mathematical Research Data Initiative}} ({{MaRDI}})},
author = {Benner, Peter and Lund, Kathryn and Saak, Jens},
year = {2023},
journal = {Proceeding Appl. Math. Mech.},
doi = {10.1002/pamm.202300147},
pages = {e202300147}
}

@misc{mini-MORB,
title = {mini-{{MORB}} ({{Model Order Reduction Benchmarker}})},
author = {Lund, Kathryn and Saak, Jens and Benner, Peter},
year = {2023},
doi = {10.5281/zenodo.8093832}
}
</nowiki>