The goal of this book is three-fold: it describes the basics of model order reduction and related aspects.
In numerical linear algebra, it covers both general and more specialized model order reduction techniques for linear and nonlinear systems, and it discusses the use of model order reduction techniques in a variety of practical applications. The book contains many recent advances in model order reduction, and presents several open problems for which techniques are still in development. It will serve as a source of inspiration for its readers, who will discover that model order reduction is a very exciting and lively field.
Author(s): Wil Schilders (auth.), Wilhelmus H. A. Schilders, Henk A. van der Vorst, Joost Rommes (eds.)
Series: Mathematics in Industry 13
Edition: 1
Publisher: Springer-Verlag Berlin Heidelberg
Year: 2008
Language: English
Pages: 471
Tags: Numerical Analysis; Systems Theory, Control; Computational Science and Engineering; Electrical Engineering
Front Matter....Pages I-XI
Introduction to Model Order Reduction....Pages 3-32
Linear Systems, Eigenvalues, and Projection....Pages 33-45
Structure-Preserving Model Order Reduction of RCL Circuit Equations....Pages 49-73
A Unified Krylov Projection Framework for Structure-Preserving Model Reduction....Pages 75-93
Model Reduction via Proper Orthogonal Decomposition....Pages 95-109
PMTBR: A Family of Approximate Principal-components-like Reduction Algorithms....Pages 111-132
A Survey on Model Reduction of Coupled Systems....Pages 133-155
Space Mapping and Defect Correction....Pages 157-176
Modal Approximation and Computation of Dominant Poles....Pages 177-193
Some Preconditioning Techniques for Saddle Point Problems....Pages 195-211
Time Variant Balancing and Nonlinear Balanced Realizations....Pages 213-250
Singular Value Analysis and Balanced Realizations for Nonlinear Systems....Pages 251-272
Matrix Functions....Pages 275-303
Model Reduction of Interconnected Systems....Pages 305-321
Quadratic Inverse Eigenvalue Problem and Its Applications to Model Updating — An Overview....Pages 323-340
Data-Driven Model Order Reduction Using Orthonormal Vector Fitting....Pages 341-359
Model-Order Reduction of High-Speed Interconnects Using Integrated Congruence Transform....Pages 361-401
Model Order Reduction for MEMS: Methodology and Computational Environment for Electro-Thermal Models....Pages 403-419
Model Order Reduction of Large RC Circuits....Pages 421-446
Reduced Order Models of On-Chip Passive Components and Interconnects, Workbench and Test Structures....Pages 447-467
Back Matter....Pages 469-471
