Schilders W. Model Order Reduction. Theory, Research...App 2008

Textbook in PDF format

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
Introduction to Model Order Reduction
Linear Systems, Eigenvalues, and Projection
Structure-Preserving Model Order Reduction of RCL Circuit Equations
A Unified Krylov Projection Framework for Structure-Preserving Model Reduction
Model Reduction via Proper Orthogonal Decomposition
PMTBR: A Family of Approximate Principal-components-like Reduction Algorithms
A Survey on Model Reduction of Coupled Systems
Space Mapping and Defect Correction
Modal Approximation and Computation of Dominant Poles
Some Preconditioning Techniques for Saddle Point Problems
Time Variant Balancing and Nonlinear Balanced Realizations
Singular Value Analysis and Balanced Realizations for Nonlinear Systems
Matrix Functions
Model Reduction of Interconnected Systems
Quadratic Inverse Eigenvalue Problem and Its Applications to Model Updating — An Overview
Data-Driven Model Order Reduction Using Orthonormal Vector Fitting
Model-Order Reduction of High-Speed Interconnects Using Integrated Congruence Transform
Model Order Reduction for MEMS: Methodology and Computational Environment for Electro-Thermal Models
Model Order Reduction of Large RC Circuits
Reduced Order Models of On-Chip Passive Components and Interconnects, Workbench and Test Structures
Back Matter