Lecture Notes in Computational Science and Engineering

Dimension Reduction of Large-Scale Systems

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

Editors: Benner, Peter, Mehrmann, Volker, Sorensen, Danny C. (Eds.)

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About this book

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.

Table of contents (7 chapters)

  • Model Reduction Based on Spectral Projection Methods

    Peter Benner, Enrique S. Quintana-Ortí

    Pages 5-48

  • Smith-Type Methods for Balanced Truncation of Large Sparse Systems

    Serkan Gugercin, Jing-Rebecca Li

    Pages 49-82

  • Balanced Truncation Model Reduction for Large-Scale Systems in Descriptor Form

    Volker Mehrmann, Tatjana Stykel

    Pages 83-115

  • Arnoldi Methods for Structure-Preserving Dimension Reduction of Second-Order Dynamical Systems

    Zhaojun Bai, Karl Meerbergen, Yangfeng Su

    Pages 173-189

  • Controller Reduction Using Accuracy-Enhancing Methods

    Andras Varga

    Pages 225-260

Buy this book

eBook $229.00
price for USA (gross)
  • ISBN 978-3-540-27909-9
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover $289.00
price for USA
  • ISBN 978-3-540-24545-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Dimension Reduction of Large-Scale Systems
Book Subtitle
Proceedings of a Workshop held in Oberwolfach, Germany, October 19-25, 2003
Editors
  • Peter Benner
  • Volker Mehrmann
  • Danny C. Sorensen
Series Title
Lecture Notes in Computational Science and Engineering
Series Volume
45
Copyright
2005
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-27909-9
DOI
10.1007/3-540-27909-1
Softcover ISBN
978-3-540-24545-2
Series ISSN
1439-7358
Edition Number
1
Number of Pages
XII, 404
Topics