Dimension Reduction of Large-Scale Systems (eBook)

Proceedings of a Workshop held in Oberwolfach, Germany, October 19-25, 2003

Peter Benner, Volker Mehrmann, Danny C. Sorensen (Herausgeber)

eBook Download: PDF

2006
404 Seiten
Springer Berlin (Verlag)
978-3-540-27909-9 (ISBN)

Infos

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.

Inhalt

Preface 5
Contents 8
Papers 11
1 Model Reduction Based on Spectral Projection Methods 13
2 Smith-Type Methods for Balanced Truncation of Large Sparse Systems 57
3 Balanced Truncation Model Reduction for Large- Scale Systems in Descriptor Form 91
4 On Model Reduction of Structured Systems 124
5 Model Reduction of Time-Varying Systems 138
6 Model Reduction of Second-Order Systems 156
7 Arnoldi Methods for Structure-Preserving Dimension Reduction of Second- Order Dynamical Systems 180
8 Pad´e-Type Model Reduction of Second-Order and Higher- Order Linear Dynamical Systems 197
9 Controller Reduction Using Accuracy- Enhancing Methods 230
10 Proper Orthogonal Decomposition Surrogate Models for Nonlinear Dynamical Systems: Error Estimates and Suboptimal Control 266
Benchmarks 312
11 Oberwolfach Benchmark Collection 314
12 A File Format for the Exchange of Nonlinear Dynamical ODE Systems 319
13 Nonlinear Heat Transfer Modeling 329
14 Microhotplate Gas Sensor 334
15 Tunable Optical Filter 338
16 Convective Thermal Flow Problems 342
17 Boundary Condition Independent Thermal Model 345
18 The Butterfly Gyro 349
19 A Semi-Discretized Heat Transfer Model for Optimal Cooling of Steel Profiles 353
20 Model Reduction of an Actively Controlled Supersonic Diffuser 357
21 Second Order Models: Linear-Drive Multi- Mode Resonator and Axi Symmetric Model of a Circular Piston 362
22 RCL Circuit Equations 365
23 PEEC Model of a Spiral Inductor Generated by Fasthenry 370
24 Benchmark Examples for Model Reduction of Linear Time- Invariant Dynamical Systems 375
Index 389

Produkt-Details

• Erscheint lt. Verlag: 30.3.2006
• Reihe/Serie: Lecture Notes in Computational Science and Engineering
• Reihe/Serie: Lecture Notes in Computational Science and Engineering
• Zusatzinfo: XII, 404 p.
• Verlagsort: Berlin
• Sprache: englisch
• Themenwelt: Mathematik / Informatik ► Informatik
• Themenwelt: Mathematik / Informatik ► Mathematik ► Wahrscheinlichkeit / Kombinatorik
• Themenwelt: Technik ► Maschinenbau
• Schlagworte: circuit simulation • Control design • Dynamical Systems • Model • Model Reduction • Numerical Methods • Simulation
• ISBN-10: 3-540-27909-1 / 3540279091
• ISBN-13: 978-3-540-27909-9 / 9783540279099