Dimension Reduction of Large-Scale Systems: Proceedings of a Workshop held in Oberwolfach, Germany, October 19-25, 2003

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Peter Benner, Volker Mehrmann, Danny C. Sorensen
Springer Science & Business Media, Mar 30, 2006 - Technology & Engineering - 404 pages
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In the past decades, model reduction has become an ubiquitous tool in analysis and simulation of dynamical systems, control design, circuit simulation, structural dynamics, CFD, and many other disciplines dealing with complex physical models. The aim of this book is to survey some of the most successful model reduction methods in tutorial style articles and to present benchmark problems from several application areas for testing and comparing existing and new algorithms. As the discussed methods have often been developed in parallel in disconnected application areas, the intention of the mini-workshop in Oberwolfach and its proceedings is to make these ideas available to researchers and practitioners from all these different disciplines.

 

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Contents

Model Reduction Based on Spectral Projection Methods
5
SmithType Methods for Balanced Truncation of Large
49
Balanced Truncation Model Reduction for LargeScale
83
On Model Reduction of Structured Systems
116
Model Reduction of TimeVarying Systems
131
Model Reduction of SecondOrder Systems
149
Arnoldi Methods for StructurePreserving Dimension
173
PadéType Model Reduction of SecondOrder
191
Proper Orthogonal Decomposition Surrogate Models
261
Oberwolfach Benchmark Collection
308
Nonlinear Heat Transfer Modeling
327
Convective Thermal Flow Problems
341
Model Reduction of an Actively Controlled Supersonic
357
PEEC Model of a Spiral Inductor Generated by Fasthenry
372
Index
393
Copyright

Controller Reduction Using AccuracyEnhancing Methods
224

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