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Software Short Communications on the Empirical Gramian Framework; held at RB Summer School 2014
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emgr
Christian Himpe ([email protected])Mario Ohlberger ([email protected])
WWU MünsterInstitute for Computational and Applied Mathematics
Reduced Basis Summer School 2014 (Software Shorts)
About
emgr - EMpirical GRamian FrameworkVersion 2.2DOI: 10.5281/zenodo.10275Open-Source (BSD 2-Clause-License)Compatible with
OctaveMatlab(FreeMat)
About 400 LoCNo Toolbox / Package Dependencies
Capabilities
Empirical Controllability GramianEmpirical Observability GramianEmpirical Cross GramianEmpirical Linear Cross GramianEmpirical Sensitivity GramianEmpirical Identifiability GramianEmpirical Joint Gramian
Application
Model Order ReductionState ReductionRobust ReductionParametric ReductionParameter ReductionCombined Reduction
Parameter IdentificationSensitivity AnalysisDecentralized ControlUncertainty Quantification
Control SystemsFirst- & Second-OrderLinear & NonlinearParametrized
Discretized PDEs
Interface
Minimal Usage:
W = emgr(f,g,q,t,w);
General Usage:
W = emgr(f,g,q,t,w,pr,nf,ut,us,xs,um,xm,yd);
Features
Implementation:Uniform InterfaceDesigned like an AppAdaptable Solver BackendOnly Matrix and Vector OperationsAccelerated by Generalized Transpositions
Performance:VectorizedImplicit ParallelizationExplicit Parallelization HintsProfiledBenchmarked
Links
Listings:
Github:http://github.com/gramian/emgr
Matlab Fileexchange:http://mathworks.com/matlabcentral/fileexchange/40169-emgr-empirical-gramian-framework
Community Listings:
MoRePaS:http://www.morepas.org/software/index.html
MORwiki:http://morwiki.mpi-magdeburg.mpg.de/morwiki/index.php/Emgr
Reviewed Listings:
Oberwolfach References on Mathematical Software:http://orms.mfo.de/project?id=345
swMath:http://swmath.org/software/7554
Shameless Plug
emgr - Empirical Gramian FrameworkDownload | Documentation | Demos
http://gramian.de
Thanks!
