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	<id>https://modelreduction.org/morwiki/api.php?action=feedcontributions&amp;feedformat=atom&amp;user=Ballarin</id>
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	<updated>2026-04-13T03:50:09Z</updated>
	<subtitle>User contributions</subtitle>
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	<entry>
		<id>https://modelreduction.org/morwiki/index.php?title=RBniCS&amp;diff=3098</id>
		<title>RBniCS</title>
		<link rel="alternate" type="text/html" href="https://modelreduction.org/morwiki/index.php?title=RBniCS&amp;diff=3098"/>
		<updated>2020-08-18T15:57:32Z</updated>

		<summary type="html">&lt;p&gt;Ballarin: Update a few links&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;[[Category:Software]]&lt;br /&gt;
&lt;br /&gt;
== Synopsis ==&lt;br /&gt;
&lt;br /&gt;
[[File:Rbnics.png|200px|right|RBniCS]]&lt;br /&gt;
&lt;br /&gt;
The [https://www.rbnicsproject.org/ &amp;lt;b&amp;gt;RBniCS&amp;lt;/b&amp;gt;] Project contains an implementation in [https://www.fenicsproject.org/ &amp;lt;b&amp;gt;FEniCS&amp;lt;/b&amp;gt;] of several reduced order modelling techniques (and, in particular, certified reduced basis method and Proper Orthogonal Decomposition-Galerkin methods) for parametrized problems. It is ideally suited for an introductory course on reduced basis methods and reduced order modelling, thanks to an object-oriented approach and an intuitive and versatile python interface. To this end, it has been employed in several doctoral courses on &amp;quot;Reduced Basis Methods for Computational Mechanics&amp;quot;.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;b&amp;gt;RBniCS&amp;lt;/b&amp;gt; can also be used as a basis for more advanced projects that would like to assess the capability of reduced order models in their existing &amp;lt;b&amp;gt;FEniCS&amp;lt;/b&amp;gt;-based software, thanks to the availability of several reduced order methods (such as reduced basis and proper orthogonal decomposition) and algorithms (such as successive constraint method, empirical interpolation method) in the library.&lt;br /&gt;
&lt;br /&gt;
This software is also a companion of the introductory reduced basis handbook:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;blockquote&amp;gt;&lt;br /&gt;
[https://www.springer.com/us/book/9783319224695 J. S. Hesthaven, G. Rozza, B. Stamm. &amp;lt;b&amp;gt;Certified Reduced Basis Methods for Parametrized Partial Differential Equations&amp;lt;/b&amp;gt;. SpringerBriefs in Mathematics. Springer International Publishing, 2015]&lt;br /&gt;
&amp;lt;/blockquote&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Requirements ==&lt;br /&gt;
&amp;lt;b&amp;gt;RBniCS&amp;lt;/b&amp;gt; requires&lt;br /&gt;
* &amp;lt;b&amp;gt;FEniCS&amp;lt;/b&amp;gt; (&amp;gt;= 2018.1.0, python 3), with PETSc, SLEPc, petsc4py and slepc4py for computations during the offline stage;&lt;br /&gt;
* numpy and scipy for computations during the online stage.&lt;br /&gt;
Additional requirements are automatically handled during the setup.&lt;br /&gt;
&lt;br /&gt;
Docker images with pre-installed library and its dependencies is available.&lt;br /&gt;
Online interactive runs are also possible through [https://colab.research.google.com/ Google Colab] and [https://argos.sissa.it/tutorials ARGOS].&lt;br /&gt;
&lt;br /&gt;
== Features ==&lt;br /&gt;
&lt;br /&gt;
Available problems:&lt;br /&gt;
* elliptic coercive problems,&lt;br /&gt;
* parabolic problems,&lt;br /&gt;
* nonlinear elliptic and parabolic problems,&lt;br /&gt;
* steady Stokes and Navier-Stokes problems,&lt;br /&gt;
* unsteady steady Stokes and Navier-Stokes problems,&lt;br /&gt;
* optimal control problems (elliptic and Stokes),&lt;br /&gt;
* extensible interface to add your own problem.&lt;br /&gt;
&lt;br /&gt;
Available reduction methods:&lt;br /&gt;
* certified reduced basis for basis generation,&lt;br /&gt;
* POD-Galerkin for basis generation,&lt;br /&gt;
* EIM/DEIM for hyper-reduction,&lt;br /&gt;
* SCM for stability factors computations,&lt;br /&gt;
* extensible interface to add your own method (see tutorials).&lt;br /&gt;
&lt;br /&gt;
Several [https://www.rbnicsproject.org/tutorials.html tutorials] are provided with the library.&lt;br /&gt;
&lt;br /&gt;
== Links ==&lt;br /&gt;
&lt;br /&gt;
GitHub.com repository: https://github.com/RBniCS/RBniCS&lt;br /&gt;
&lt;br /&gt;
Website: https://www.rbnicsproject.org/&lt;br /&gt;
&lt;br /&gt;
== References ==&lt;br /&gt;
If you use &amp;lt;b&amp;gt;RBniCS&amp;lt;/b&amp;gt; in your work, please use the following citations to reference &amp;lt;b&amp;gt;RBniCS&amp;lt;/b&amp;gt;&lt;br /&gt;
&lt;br /&gt;
 @book{HesthavenRozzaStamm2015,&lt;br /&gt;
  author    = {Hesthaven, Jan S. and Rozza, Gianluigi and Stamm, Benjamin},&lt;br /&gt;
  title     = {Certified Reduced Basis Methods for Parametrized Partial Differential Equations},&lt;br /&gt;
  publisher = {Springer International Publishing},&lt;br /&gt;
  year      = 2015,&lt;br /&gt;
  series    = {SpringerBriefs in Mathematics},&lt;br /&gt;
  isbn      = {978-3-319-22469-5}&lt;br /&gt;
 }&lt;br /&gt;
&lt;br /&gt;
and cite the [https://www.rbnicsproject.org/ RBniCS website].&lt;br /&gt;
&lt;br /&gt;
A list of scientific publications involving &amp;lt;b&amp;gt;RBniCS&amp;lt;/b&amp;gt; is available [https://www.rbnicsproject.org/publications.html on our website].&lt;br /&gt;
&lt;br /&gt;
== Contact ==&lt;br /&gt;
[[User:Ballarin| Francesco Ballarin]]&lt;/div&gt;</summary>
		<author><name>Ballarin</name></author>
	</entry>
	<entry>
		<id>https://modelreduction.org/morwiki/index.php?title=Comparison_of_Software&amp;diff=2924</id>
		<title>Comparison of Software</title>
		<link rel="alternate" type="text/html" href="https://modelreduction.org/morwiki/index.php?title=Comparison_of_Software&amp;diff=2924"/>
		<updated>2019-06-27T09:39:56Z</updated>

		<summary type="html">&lt;p&gt;Ballarin: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;[[Category:software]]&lt;br /&gt;
&lt;br /&gt;
The following table provides a &#039;&#039;&#039;Comparison of Software&#039;&#039;&#039; for the model reduction software projects listed in the MORwiki.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable sortable&amp;quot; style=&amp;quot;text-align: center; width: auto;&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
! Name&lt;br /&gt;
! Linear&lt;br /&gt;
! Nonlinear&lt;br /&gt;
! First Order&lt;br /&gt;
! Second Order&lt;br /&gt;
! Parametric&lt;br /&gt;
! DAE&lt;br /&gt;
! Dense&lt;br /&gt;
! Sparse&lt;br /&gt;
!&lt;br /&gt;
! Latest Version&lt;br /&gt;
! License&lt;br /&gt;
! Language&lt;br /&gt;
|-&lt;br /&gt;
! [[DPA|DPA]]&lt;br /&gt;
| Yes&lt;br /&gt;
| No&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
| No&lt;br /&gt;
| Yes&lt;br /&gt;
| (Yes)&lt;br /&gt;
| Yes&lt;br /&gt;
|&lt;br /&gt;
| ?&lt;br /&gt;
| ?&lt;br /&gt;
| Matlab&lt;br /&gt;
|-&lt;br /&gt;
! [[Emgr|emgr]]&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
| (Yes)&lt;br /&gt;
| Yes&lt;br /&gt;
| (Yes)&lt;br /&gt;
|&lt;br /&gt;
| 5.7 (02.2019)&lt;br /&gt;
| [http://opensource.org/licenses/BSD-2-Clause BSD-2-Clause]&lt;br /&gt;
| Matlab&lt;br /&gt;
|-&lt;br /&gt;
! [[EZyRB|EZyRB]]&lt;br /&gt;
| ?&lt;br /&gt;
| ?&lt;br /&gt;
| ?&lt;br /&gt;
| ?&lt;br /&gt;
| ?&lt;br /&gt;
| ?&lt;br /&gt;
| ?&lt;br /&gt;
| ?&lt;br /&gt;
|&lt;br /&gt;
| 0.2 (04.2018)&lt;br /&gt;
| [https://opensource.org/licenses/MIT MIT]&lt;br /&gt;
| Python&lt;br /&gt;
|-&lt;br /&gt;
! [[ITHACA-FV]]&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
| No&lt;br /&gt;
| Yes&lt;br /&gt;
| No&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
|&lt;br /&gt;
| 2.1 (02.2019)&lt;br /&gt;
| [http://www.gnu.org/licenses/lgpl-3.0 LGPL-3.0 license]&lt;br /&gt;
| C++&lt;br /&gt;
|-&lt;br /&gt;
! [[ITHACA-SEM]]&lt;br /&gt;
| (Yes)&lt;br /&gt;
| (Yes)&lt;br /&gt;
| Yes&lt;br /&gt;
| No&lt;br /&gt;
| Yes&lt;br /&gt;
| No&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
|&lt;br /&gt;
| (02.2019)&lt;br /&gt;
| [https://opensource.org/licenses/MIT MIT license]&lt;br /&gt;
| C++&lt;br /&gt;
|-&lt;br /&gt;
! [[MESS]]&lt;br /&gt;
| Yes&lt;br /&gt;
| No&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
| No&lt;br /&gt;
| Yes&lt;br /&gt;
| (Yes)&lt;br /&gt;
| Yes&lt;br /&gt;
|&lt;br /&gt;
| 1.0.1 (Matlab)&lt;br /&gt;
| [http://opensource.org/licenses/GPL-2.0 GPLv2]&lt;br /&gt;
| C, Matlab&lt;br /&gt;
|-&lt;br /&gt;
! [[MORE]]&lt;br /&gt;
| Yes&lt;br /&gt;
| ?&lt;br /&gt;
| Yes&lt;br /&gt;
| ?&lt;br /&gt;
| ?&lt;br /&gt;
| ?&lt;br /&gt;
| ?&lt;br /&gt;
| ?&lt;br /&gt;
|&lt;br /&gt;
| ?&lt;br /&gt;
| ?&lt;br /&gt;
| Matlab&lt;br /&gt;
|-&lt;br /&gt;
! [[MOREMBS]]&lt;br /&gt;
| Yes&lt;br /&gt;
| No&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
| (Yes)&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
|&lt;br /&gt;
| ?&lt;br /&gt;
| ?&lt;br /&gt;
| C++, Matlab&lt;br /&gt;
|-&lt;br /&gt;
! [[MORLAB]]&lt;br /&gt;
| Yes&lt;br /&gt;
| No&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
| No&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
| (Yes)&lt;br /&gt;
|&lt;br /&gt;
| 4.0 (12.2018)&lt;br /&gt;
| [http://www.gnu.org/licenses/agpl.txt AGPLv3]&lt;br /&gt;
| Matlab&lt;br /&gt;
|-&lt;br /&gt;
! [[MORPACK]]&lt;br /&gt;
| Yes&lt;br /&gt;
| No&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
| No&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
|&lt;br /&gt;
| v3.0.099 (07.2015)&lt;br /&gt;
| ?&lt;br /&gt;
| Matlab&lt;br /&gt;
|-&lt;br /&gt;
! [http://www.rt.mw.tum.de/forschung/morlab/software/psssmor/ psssMOR]&lt;br /&gt;
| Yes&lt;br /&gt;
| No&lt;br /&gt;
| Yes&lt;br /&gt;
| No&lt;br /&gt;
| Yes&lt;br /&gt;
| (No)&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
|&lt;br /&gt;
| 1.00 (09.2017)&lt;br /&gt;
| [http://opensource.org/licenses/BSD-2-Clause 2-Clause BSD]&lt;br /&gt;
| Matlab&lt;br /&gt;
|-&lt;br /&gt;
! [[PyDMD|PyDMD]]&lt;br /&gt;
| ?&lt;br /&gt;
| ?&lt;br /&gt;
| ?&lt;br /&gt;
| ?&lt;br /&gt;
| ?&lt;br /&gt;
| ?&lt;br /&gt;
| ?&lt;br /&gt;
| ?&lt;br /&gt;
|&lt;br /&gt;
| 0.2.1 (11.2018)&lt;br /&gt;
| [https://opensource.org/licenses/MIT MIT]&lt;br /&gt;
| Python&lt;br /&gt;
|-&lt;br /&gt;
! [[PyMOR|pyMOR]]&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
| No&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
|&lt;br /&gt;
| 0.5.2 (03.2019)&lt;br /&gt;
| [http://opensource.org/licenses/BSD-2-Clause 2-Clause BSD]&lt;br /&gt;
| Python&lt;br /&gt;
|-&lt;br /&gt;
! [[sssMOR]]&lt;br /&gt;
| Yes&lt;br /&gt;
| No&lt;br /&gt;
| Yes&lt;br /&gt;
| (No)&lt;br /&gt;
| (Yes)&lt;br /&gt;
| (No)&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
|&lt;br /&gt;
| 2.00 (09.2017)&lt;br /&gt;
| [http://opensource.org/licenses/BSD-2-Clause 2-Clause BSD]&lt;br /&gt;
| Matlab&lt;br /&gt;
|-&lt;br /&gt;
! [[RBmatlab]]&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
| No&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
|&lt;br /&gt;
| 1.16.09 (09.2016)&lt;br /&gt;
| [http://www.opensource.org/licenses/afl-3.0.php Academic Free License 3.0.]&lt;br /&gt;
| Matlab&lt;br /&gt;
|-&lt;br /&gt;
! [[RBniCS]]&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
| No&lt;br /&gt;
| Yes&lt;br /&gt;
| No&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
|&lt;br /&gt;
| 0.1.0 (06.2019)&lt;br /&gt;
| [http://www.gnu.org/licenses/lgpl-3.0 LGPL-3.0 license]&lt;br /&gt;
| Python&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>Ballarin</name></author>
	</entry>
	<entry>
		<id>https://modelreduction.org/morwiki/index.php?title=RBniCS&amp;diff=2830</id>
		<title>RBniCS</title>
		<link rel="alternate" type="text/html" href="https://modelreduction.org/morwiki/index.php?title=RBniCS&amp;diff=2830"/>
		<updated>2019-02-05T12:39:04Z</updated>

		<summary type="html">&lt;p&gt;Ballarin: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{{preliminary}} &amp;lt;!-- Do not remove --&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Category:Software]]&lt;br /&gt;
&lt;br /&gt;
== Synopsis ==&lt;br /&gt;
&lt;br /&gt;
[[File:Rbnics.png|200px|right|ithaca-sem box]]&lt;br /&gt;
&lt;br /&gt;
[https://mathlab.sissa.it/rbnics &amp;lt;b&amp;gt;RBniCS&amp;lt;/b&amp;gt;] is an implementation in [http://fenicsproject.org/ &amp;lt;b&amp;gt;FEniCS&amp;lt;/b&amp;gt;] of several reduced order modelling techniques (and, in particular, certified reduced basis method and Proper Orthogonal Decomposition-Galerkin methods) for parametrized problems. It is ideally suited for an introductory course on reduced basis methods and reduced order modelling, thanks to an object-oriented approach and an intuitive and versatile python interface. To this end, it has been employed in several doctoral courses on &amp;quot;Reduced Basis Methods for Computational Mechanics&amp;quot;.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;b&amp;gt;RBniCS&amp;lt;/b&amp;gt; can also be used as a basis for more advanced projects that would like to assess the capability of reduced order models in their existing &amp;lt;b&amp;gt;FEniCS&amp;lt;/b&amp;gt;-based software, thanks to the availability of several reduced order methods (such as reduced basis and proper orthogonal decomposition) and algorithms (such as successive constraint method, empirical interpolation method) in the library.&lt;br /&gt;
&lt;br /&gt;
This software is also a companion of the introductory reduced basis handbook:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;blockquote&amp;gt;&lt;br /&gt;
[http://www.springer.com/us/book/9783319224695 J. S. Hesthaven, G. Rozza, B. Stamm. &amp;lt;b&amp;gt;Certified Reduced Basis Methods for Parametrized Partial Differential Equations&amp;lt;/b&amp;gt;. SpringerBriefs in Mathematics. Springer International Publishing, 2015]&lt;br /&gt;
&amp;lt;/blockquote&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Requirements ==&lt;br /&gt;
&amp;lt;b&amp;gt;RBniCS&amp;lt;/b&amp;gt; requires&lt;br /&gt;
* &amp;lt;b&amp;gt;FEniCS&amp;lt;/b&amp;gt; (&amp;gt;= 2018.1.0, python 3), with PETSc, SLEPc, petsc4py and slepc4py for computations during the offline stage;&lt;br /&gt;
* numpy and scipy for computations during the online stage.&lt;br /&gt;
Additional requirements are automatically handled during the setup.&lt;br /&gt;
&lt;br /&gt;
Docker images with pre-installed library and its dependencies is available.&lt;br /&gt;
&lt;br /&gt;
== Features ==&lt;br /&gt;
&lt;br /&gt;
Available problems:&lt;br /&gt;
* elliptic coercive problems,&lt;br /&gt;
* parabolic problems,&lt;br /&gt;
* nonlinear elliptic and parabolic problems,&lt;br /&gt;
* steady Stokes and Navier-Stokes problems,&lt;br /&gt;
* unsteady steady Stokes and Navier-Stokes problems,&lt;br /&gt;
* optimal control problems (elliptic and Stokes),&lt;br /&gt;
* extensible interface to add your own problem (see tutorials).&lt;br /&gt;
&lt;br /&gt;
Available reduction methods:&lt;br /&gt;
* certified reduced basis for basis generation,&lt;br /&gt;
* POD-Galerkin for basis generation,&lt;br /&gt;
* EIM/DEIM for hyper-reduction,&lt;br /&gt;
* SCM for stability factors computations,&lt;br /&gt;
* extensible interface to add your own method (see tutorials).&lt;br /&gt;
&lt;br /&gt;
Several tutorials are provided in the [https://gitlab.com/RBniCS/RBniCS/tree/master/tutorials tutorials folder].&lt;br /&gt;
&lt;br /&gt;
== Links ==&lt;br /&gt;
&lt;br /&gt;
GitLab.com repository: http://gitlab.com/RBniCS/RBniCS&lt;br /&gt;
&lt;br /&gt;
GitHub.com mirror repository: http://github.com/mathLab/RBniCS&lt;br /&gt;
&lt;br /&gt;
Website: http://mathlab.sissa.it/rbnics&lt;br /&gt;
&lt;br /&gt;
== References ==&lt;br /&gt;
If you use &amp;lt;b&amp;gt;RBniCS&amp;lt;/b&amp;gt; in your work, please use the following citations to reference &amp;lt;b&amp;gt;RBniCS&amp;lt;/b&amp;gt;&lt;br /&gt;
&lt;br /&gt;
 @book{HesthavenRozzaStamm2015,&lt;br /&gt;
  author    = {Hesthaven, Jan S. and Rozza, Gianluigi and Stamm, Benjamin},&lt;br /&gt;
  title     = {Certified Reduced Basis Methods for Parametrized Partial Differential Equations},&lt;br /&gt;
  publisher = {Springer International Publishing},&lt;br /&gt;
  year      = 2015,&lt;br /&gt;
  series    = {SpringerBriefs in Mathematics},&lt;br /&gt;
  isbn      = {978-3-319-22469-5}&lt;br /&gt;
 }&lt;br /&gt;
&lt;br /&gt;
and cite the [http://mathlab.sissa.it/rbnics RBniCS website].&lt;br /&gt;
&lt;br /&gt;
A list of scientific publications involving &amp;lt;b&amp;gt;RBniCS&amp;lt;/b&amp;gt; is available [https://gitlab.com/RBniCS/RBniCS/blob/master/docs/source/publications.rst at this link].&lt;br /&gt;
&lt;br /&gt;
== Contact ==&lt;br /&gt;
[[User:Ballarin| Francesco Ballarin]]&lt;/div&gt;</summary>
		<author><name>Ballarin</name></author>
	</entry>
	<entry>
		<id>https://modelreduction.org/morwiki/index.php?title=Comparison_of_Software&amp;diff=2829</id>
		<title>Comparison of Software</title>
		<link rel="alternate" type="text/html" href="https://modelreduction.org/morwiki/index.php?title=Comparison_of_Software&amp;diff=2829"/>
		<updated>2019-02-05T12:37:33Z</updated>

		<summary type="html">&lt;p&gt;Ballarin: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;[[Category:software]]&lt;br /&gt;
&lt;br /&gt;
The following table provides a &#039;&#039;&#039;Comparison of Software&#039;&#039;&#039; for the model reduction software projects listed in the MORwiki.&lt;br /&gt;
&lt;br /&gt;
&lt;br /&gt;
{| class=&amp;quot;wikitable sortable&amp;quot; style=&amp;quot;text-align: center; width: auto;&amp;quot;&lt;br /&gt;
|-&lt;br /&gt;
! Name&lt;br /&gt;
! Linear&lt;br /&gt;
! Nonlinear&lt;br /&gt;
! First Order&lt;br /&gt;
! Second Order&lt;br /&gt;
! Parametric&lt;br /&gt;
! DAE&lt;br /&gt;
! Dense&lt;br /&gt;
! Sparse&lt;br /&gt;
!&lt;br /&gt;
! Latest Version&lt;br /&gt;
! License&lt;br /&gt;
! Language&lt;br /&gt;
|-&lt;br /&gt;
! [[DPA|DPA]]&lt;br /&gt;
| Yes&lt;br /&gt;
| No&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
| No&lt;br /&gt;
| Yes&lt;br /&gt;
| (Yes)&lt;br /&gt;
| Yes&lt;br /&gt;
|&lt;br /&gt;
| ?&lt;br /&gt;
| ?&lt;br /&gt;
| Matlab&lt;br /&gt;
|-&lt;br /&gt;
! [[Emgr|emgr]]&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
| (Yes)&lt;br /&gt;
| Yes&lt;br /&gt;
| (Yes)&lt;br /&gt;
|&lt;br /&gt;
| 5.6 (01.2019)&lt;br /&gt;
| [http://opensource.org/licenses/BSD-2-Clause BSD-2-Clause]&lt;br /&gt;
| Matlab&lt;br /&gt;
|-&lt;br /&gt;
! [[ITHACA-FV]]&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
| No&lt;br /&gt;
| Yes&lt;br /&gt;
| No&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
|&lt;br /&gt;
| 2.1 (02.2019)&lt;br /&gt;
| [http://www.gnu.org/licenses/lgpl-3.0 LGPL-3.0 license]&lt;br /&gt;
| C++&lt;br /&gt;
|-&lt;br /&gt;
! [[ITHACA-SEM]]&lt;br /&gt;
| (Yes)&lt;br /&gt;
| (Yes)&lt;br /&gt;
| Yes&lt;br /&gt;
| No&lt;br /&gt;
| Yes&lt;br /&gt;
| No&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
|&lt;br /&gt;
| (02.2019)&lt;br /&gt;
| [https://opensource.org/licenses/MIT MIT license]&lt;br /&gt;
| C++&lt;br /&gt;
|-&lt;br /&gt;
! [[MESS]]&lt;br /&gt;
| Yes&lt;br /&gt;
| No&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
| No&lt;br /&gt;
| Yes&lt;br /&gt;
| (Yes)&lt;br /&gt;
| Yes&lt;br /&gt;
|&lt;br /&gt;
| 1.0.1 (Matlab)&lt;br /&gt;
| [http://opensource.org/licenses/GPL-2.0 GPLv2]&lt;br /&gt;
| C, Matlab&lt;br /&gt;
|-&lt;br /&gt;
! [[MOREMBS]]&lt;br /&gt;
| Yes&lt;br /&gt;
| No&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
| (Yes)&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
|&lt;br /&gt;
| ?&lt;br /&gt;
| ?&lt;br /&gt;
| C++, Matlab&lt;br /&gt;
|-&lt;br /&gt;
! [[MORLAB]]&lt;br /&gt;
| Yes&lt;br /&gt;
| No&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
| No&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
| (Yes)&lt;br /&gt;
|&lt;br /&gt;
| 4.0 (12.2018)&lt;br /&gt;
| [http://www.gnu.org/licenses/agpl.txt AGPLv3]&lt;br /&gt;
| Matlab&lt;br /&gt;
|-&lt;br /&gt;
! [[MORPACK]]&lt;br /&gt;
| Yes&lt;br /&gt;
| No&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
| No&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
|&lt;br /&gt;
| v3.0.099 (07.2015)&lt;br /&gt;
| ?&lt;br /&gt;
| Matlab&lt;br /&gt;
|-&lt;br /&gt;
! [[RBmatlab]]&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
| No&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
|&lt;br /&gt;
| 1.16.09 (09.2016)&lt;br /&gt;
| [http://www.opensource.org/licenses/afl-3.0.php Academic Free License 3.0.]&lt;br /&gt;
| Matlab&lt;br /&gt;
|-&lt;br /&gt;
! [[MORE]]&lt;br /&gt;
| Yes&lt;br /&gt;
| ?&lt;br /&gt;
| Yes&lt;br /&gt;
| ?&lt;br /&gt;
| ?&lt;br /&gt;
| ?&lt;br /&gt;
| ?&lt;br /&gt;
| ?&lt;br /&gt;
|&lt;br /&gt;
| ?&lt;br /&gt;
| ?&lt;br /&gt;
| Matlab&lt;br /&gt;
|-&lt;br /&gt;
! [[PyMOR|pyMOR]]&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
| No&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
|&lt;br /&gt;
| 0.5.1 (01.2019)&lt;br /&gt;
| [http://opensource.org/licenses/BSD-2-Clause 2-Clause BSD]&lt;br /&gt;
| Python&lt;br /&gt;
|-&lt;br /&gt;
! [[sssMOR]]&lt;br /&gt;
| Yes&lt;br /&gt;
| No&lt;br /&gt;
| Yes&lt;br /&gt;
| (No)&lt;br /&gt;
| (Yes)&lt;br /&gt;
| (No)&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
|&lt;br /&gt;
| 2.00 (09.2017)&lt;br /&gt;
| [http://opensource.org/licenses/BSD-2-Clause 2-Clause BSD]&lt;br /&gt;
| Matlab&lt;br /&gt;
|-&lt;br /&gt;
! [http://www.rt.mw.tum.de/forschung/morlab/software/psssmor/ psssMOR]&lt;br /&gt;
| Yes&lt;br /&gt;
| No&lt;br /&gt;
| Yes&lt;br /&gt;
| No&lt;br /&gt;
| Yes&lt;br /&gt;
| (No)&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
|&lt;br /&gt;
| 1.00 (09.2017)&lt;br /&gt;
| [http://opensource.org/licenses/BSD-2-Clause 2-Clause BSD]&lt;br /&gt;
| Matlab&lt;br /&gt;
|-&lt;br /&gt;
! [[RBniCS]]&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
| No&lt;br /&gt;
| Yes&lt;br /&gt;
| No&lt;br /&gt;
| Yes&lt;br /&gt;
| Yes&lt;br /&gt;
|&lt;br /&gt;
| 0.1.0 (03.2019)&lt;br /&gt;
| [http://www.gnu.org/licenses/lgpl-3.0 LGPL-3.0 license]&lt;br /&gt;
| Python&lt;br /&gt;
|}&lt;/div&gt;</summary>
		<author><name>Ballarin</name></author>
	</entry>
	<entry>
		<id>https://modelreduction.org/morwiki/index.php?title=User:Ballarin&amp;diff=2828</id>
		<title>User:Ballarin</title>
		<link rel="alternate" type="text/html" href="https://modelreduction.org/morwiki/index.php?title=User:Ballarin&amp;diff=2828"/>
		<updated>2019-02-05T12:33:40Z</updated>

		<summary type="html">&lt;p&gt;Ballarin: Created page with &amp;quot;Francesco Ballarin, Ph.D.&amp;lt;br&amp;gt; Assistant Professor in Numerical Analysis  SISSA mathLab, International School for Advanced Studies&amp;lt;br&amp;gt; Office A-722 (7th floor), via Bonomea 265...&amp;quot;&lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;Francesco Ballarin, Ph.D.&amp;lt;br&amp;gt;&lt;br /&gt;
Assistant Professor in Numerical Analysis&lt;br /&gt;
&lt;br /&gt;
SISSA mathLab, International School for Advanced Studies&amp;lt;br&amp;gt;&lt;br /&gt;
Office A-722 (7th floor), via Bonomea 265, I-34136 Trieste, Italy&amp;lt;br&amp;gt;&lt;br /&gt;
phone: +39 040 3787 409&amp;lt;br&amp;gt;&lt;br /&gt;
email: francesco.ballarin@sissa.it&amp;lt;br&amp;gt;&lt;br /&gt;
website: [http://www.francescoballarin.it http://www.francescoballarin.it]&lt;/div&gt;</summary>
		<author><name>Ballarin</name></author>
	</entry>
	<entry>
		<id>https://modelreduction.org/morwiki/index.php?title=RBniCS&amp;diff=2827</id>
		<title>RBniCS</title>
		<link rel="alternate" type="text/html" href="https://modelreduction.org/morwiki/index.php?title=RBniCS&amp;diff=2827"/>
		<updated>2019-02-05T12:30:09Z</updated>

		<summary type="html">&lt;p&gt;Ballarin: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;{{preliminary}} &amp;lt;!-- Do not remove --&amp;gt;&lt;br /&gt;
&lt;br /&gt;
[[Category:Software]]&lt;br /&gt;
&lt;br /&gt;
== Synopsis ==&lt;br /&gt;
&lt;br /&gt;
[[File:Rbnics.png|200px|right|ithaca-sem box]]&lt;br /&gt;
&lt;br /&gt;
[https://mathlab.sissa.it/rbnics &amp;lt;b&amp;gt;RBniCS&amp;lt;/b&amp;gt;] is an implementation in [http://fenicsproject.org/ &amp;lt;b&amp;gt;FEniCS&amp;lt;/b&amp;gt;] of several reduced order modelling techniques (and, in particular, certified reduced basis method and Proper Orthogonal Decomposition-Galerkin methods) for parametrized problems. It is ideally suited for an introductory course on reduced basis methods and reduced order modelling, thanks to an object-oriented approach and an intuitive and versatile python interface. To this end, it has been employed in several doctoral courses on &amp;quot;Reduced Basis Methods for Computational Mechanics&amp;quot;.&lt;br /&gt;
&lt;br /&gt;
&amp;lt;b&amp;gt;RBniCS&amp;lt;/b&amp;gt; can also be used as a basis for more advanced projects that would like to assess the capability of reduced order models in their existing &amp;lt;b&amp;gt;FEniCS&amp;lt;/b&amp;gt;-based software, thanks to the availability of several reduced order methods (such as reduced basis and proper orthogonal decomposition) and algorithms (such as successive constraint method, empirical interpolation method) in the library.&lt;br /&gt;
&lt;br /&gt;
This software is also a companion of the introductory reduced basis handbook:&lt;br /&gt;
&lt;br /&gt;
&amp;lt;blockquote&amp;gt;&lt;br /&gt;
[http://www.springer.com/us/book/9783319224695 J. S. Hesthaven, G. Rozza, B. Stamm. &amp;lt;b&amp;gt;Certified Reduced Basis Methods for Parametrized Partial Differential Equations&amp;lt;/b&amp;gt;. SpringerBriefs in Mathematics. Springer International Publishing, 2015]&lt;br /&gt;
&amp;lt;/blockquote&amp;gt;&lt;br /&gt;
&lt;br /&gt;
== Requirements ==&lt;br /&gt;
&amp;lt;b&amp;gt;RBniCS&amp;lt;/b&amp;gt; requires&lt;br /&gt;
* &amp;lt;b&amp;gt;FEniCS&amp;lt;/b&amp;gt; (&amp;gt;= 2018.1.0, python 3), with PETSc, SLEPc, petsc4py and slepc4py for computations during the offline stage;&lt;br /&gt;
* numpy and scipy for computations during the online stage.&lt;br /&gt;
Additional requirements are automatically handled during the setup.&lt;br /&gt;
&lt;br /&gt;
Docker images with pre-installed library and its dependencies is available.&lt;br /&gt;
&lt;br /&gt;
== Features ==&lt;br /&gt;
&lt;br /&gt;
Available problems:&lt;br /&gt;
* elliptic coercive problems,&lt;br /&gt;
* parabolic problems,&lt;br /&gt;
* nonlinear elliptic and parabolic problems,&lt;br /&gt;
* steady Stokes and Navier-Stokes problems,&lt;br /&gt;
* unsteady steady Stokes and Navier-Stokes problems,&lt;br /&gt;
* optimal control problems (elliptic and Stokes),&lt;br /&gt;
* extensible interface to add your own problem (see tutorials).&lt;br /&gt;
&lt;br /&gt;
Available reduction methods:&lt;br /&gt;
* certified reduced basis for basis generation,&lt;br /&gt;
* POD-Galerkin for basis generation,&lt;br /&gt;
* EIM/DEIM for hyper-reduction,&lt;br /&gt;
* SCM for stability factors computations,&lt;br /&gt;
* extensible interface to add your own method (see tutorials).&lt;br /&gt;
&lt;br /&gt;
Several tutorials are provided in the [https://gitlab.com/RBniCS/RBniCS/tree/master/tutorials tutorials folder].&lt;br /&gt;
&lt;br /&gt;
== Links ==&lt;br /&gt;
&lt;br /&gt;
GitLab.com repository: http://github.com/RBniCS/RBniCS&lt;br /&gt;
&lt;br /&gt;
GitHub.com mirror repository: http://github.com/mathLab/RBniCS&lt;br /&gt;
&lt;br /&gt;
Website: http://mathlab.sissa.it/rbnics&lt;br /&gt;
&lt;br /&gt;
== References ==&lt;br /&gt;
If you use &amp;lt;b&amp;gt;RBniCS&amp;lt;/b&amp;gt; in your work, please use the following citations to reference &amp;lt;b&amp;gt;RBniCS&amp;lt;/b&amp;gt;&lt;br /&gt;
&lt;br /&gt;
 @book{HesthavenRozzaStamm2015,&lt;br /&gt;
  author    = {Hesthaven, Jan S. and Rozza, Gianluigi and Stamm, Benjamin},&lt;br /&gt;
  title     = {Certified Reduced Basis Methods for Parametrized Partial Differential Equations},&lt;br /&gt;
  publisher = {Springer International Publishing},&lt;br /&gt;
  year      = 2015,&lt;br /&gt;
  series    = {SpringerBriefs in Mathematics},&lt;br /&gt;
  isbn      = {978-3-319-22469-5}&lt;br /&gt;
 }&lt;br /&gt;
&lt;br /&gt;
and cite the [http://mathlab.sissa.it/rbnics RBniCS website].&lt;br /&gt;
&lt;br /&gt;
A list of scientific publications involving &amp;lt;b&amp;gt;RBniCS&amp;lt;/b&amp;gt; is available [https://gitlab.com/RBniCS/RBniCS/blob/master/docs/source/publications.rst at this link].&lt;br /&gt;
&lt;br /&gt;
== Contact ==&lt;br /&gt;
[[User:Ballarin| Francesco Ballarin]]&lt;/div&gt;</summary>
		<author><name>Ballarin</name></author>
	</entry>
	<entry>
		<id>https://modelreduction.org/morwiki/index.php?title=File:Rbnics.png&amp;diff=2826</id>
		<title>File:Rbnics.png</title>
		<link rel="alternate" type="text/html" href="https://modelreduction.org/morwiki/index.php?title=File:Rbnics.png&amp;diff=2826"/>
		<updated>2019-02-05T12:06:58Z</updated>

		<summary type="html">&lt;p&gt;Ballarin: &lt;/p&gt;
&lt;hr /&gt;
&lt;div&gt;&lt;/div&gt;</summary>
		<author><name>Ballarin</name></author>
	</entry>
</feed>