β Scribed by Wil Schilders (auth.), Wilhelmus H. A. Schilders, Henk A. van der Vorst, Joost Rommes (eds.)
No coin nor oath required. For personal study only.
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.
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 β 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
Numerical Analysis; Systems Theory, Control; Computational Science and Engineering; Electrical Engineering
π SIMILAR VOLUMES
<span>The idea for this book originated during the workshop βModel order reduction, coupled problems and optimizationβ held at the Lorentz Center in Leiden from S- tember 19β23, 2005. During one of the discussion sessions, it became clear that a book describing the state of the art in model order re
<span>This book addresses the state of the art of reduced order methods for modelling and computational reduction of complex parametrised systems, governed by ordinary and/or partial differential equations, with a special emphasis on real time computing techniques and applications in various fields.
<p>An increasing complexity of models used to predict real-world systems leads to the need for algorithms to replace complex models with far simpler ones, while preserving the accuracy of the predictions. This three-volume handbook covers methods as well as applications. This third volume focuses on
<p>This monograph addresses the state of the art of reduced order methods for modeling and computational reduction of complex parametrized systems, governed by ordinary and/or partial differential equations, with a special emphasis on real time computing techniques and applications in computational
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