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, Jun 9, 2005 - 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 Sparse Systems
49
Balanced Truncation Model Reduction for LargeScale Systems in Descriptor Form
83
On Model Reduction of Structured Systems
117
Model Reduction of TimeVarying Systems
131
Model Reduction of SecondOrder Systems
149
Arnoldi Methods for StructurePreserving Dimension Reduction of SecondOrder Dynamical Systems
173
FadeType Model Reduction of SecondOrder and HigherOrder Linear Dynamical Systems
191
Microhotplate Gas Sensor
333
Tunable Optical Filter
337
Convective Thermal Flow Problems
341
Boundary Condition Independent Thermal Model
345
The Butterfly Gyro
349
A SemiDiscretized Heat Transfer Model for Optimal Cooling of Steel Profiles
353
Model Reduction of an Actively Controlled Supersonic Diffuser
357
Second Order Models LinearDrive MultiMode Resonator and Axi Symmetric Model of a Circular Piston
363

Controller Reduction Using AccuracyEnhancing Methods
225
Proper Orthogonal Decomposition Surrogate Models for Nonlinear Dynamical Systems Error Estimates and Suboptimal Control
261
Oberwolfach Benchmark Collection
311
A File Format for the Exchange of Nonlinear Dynamical ODE Systems
317
Nonlinear Heat Transfer Modeling
327
RCL Circuit Equations
367
PEEC Model of a Spiral Inductor Generated by Fasthenry
373
Benchmark Examples for Model Reduction of Linear TimeInvariant Dynamical Systems
379
Index
393
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Page 392 - by the Belgian Programme on Inter-university Poles of Attraction, initiated by the Belgian State, Prime Minister's Office for Science, Technology and Culture. The scientific responsibility rests with its authors. References

About the author (2005)

Volker Mehrmann is a Professor of Mathematics at TU Berlin. He is a member of acatech (the German Academy of Science and Engineering) and is currently president of GAMM (the German Society for Applied Mathematics and Mechanics).