Model Order Reduction: Theory, Research Aspects and Applications

  • Wilhelmus H. A. Schilders
  • Henk A. van der Vorst
  • Joost Rommes

Part of the Mathematics in Industry book series (MATHINDUSTRY, volume 13)

Table of contents

  1. Front Matter
    Pages I-XI
  2. Basic Concepts

    1. Wil Schilders
      Pages 3-32
    2. Henk van der Vorst
      Pages 33-45
  3. Theory

    1. Zhaojun Bai, Ren-cang Li, Yangfeng Su
      Pages 75-93
    2. Joel R. Phillips, Zhenhai Zhu, L. Miguel Silveira
      Pages 111-132
    3. Timo Reis, Tatjana Stykel
      Pages 133-155
    4. David Echeverría, Domenico Lahaye, Piet W. Hemker
      Pages 157-176
    5. Michele Benzi, Andrew J. Wathen
      Pages 195-211
    6. Kenji Fujimoto, Jacquelien M. A. Scherpen
      Pages 251-272
  4. Research Aspects and Applications

    1. Andreas Frommer, Valeria Simoncini
      Pages 275-303
    2. Antoine Vandendorpe, Paul Van Dooren
      Pages 305-321
    3. Dirk Deschrijver, Tom Dhaene
      Pages 341-359
    4. Tamara Bechtold, Evgenii B. Rudnyi, Jan G. Korvink
      Pages 403-419
    5. Nick P. van der Meijs
      Pages 421-446

About this book

Introduction

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.

Keywords

Dynamical systems Model order reduction Numerical linear algebra algorithm algorithms calculus linear algebra model

Editors and affiliations

  • Wilhelmus H. A. Schilders
    • 1
  • Henk A. van der Vorst
    • 2
  • Joost Rommes
    • 3
  1. 1.Physical Design Methods – MathematicsNXP Semiconductors Corporate I&T/DTF/Design MethodsAE EindhovenThe Netherlands
  2. 2.Physical Design MothodsNXP Semiconductors Corporate I&T/DTF/Design MethodsAE EindhovenThe Netherlands
  3. 3.Mathematical InstituteUtrecht UniversityTA UtrechtThe Netherlands

Bibliographic information

  • DOI https://doi.org/10.1007/978-3-540-78841-6
  • Copyright Information Springer Berlin Heidelberg 2008
  • Publisher Name Springer, Berlin, Heidelberg
  • eBook Packages Mathematics and Statistics
  • Print ISBN 978-3-540-78840-9
  • Online ISBN 978-3-540-78841-6
  • Series Print ISSN 1612-3956
  • About this book