The European Consortium for Mathematics in Industry

Model Order Reduction: Theory, Research Aspects and Applications

Editors: Schilders, Wilhelmus H., van der Vorst, Henk A., Rommes, Joost (Eds.)

  • High-quality book on industrial mathematics by one of the major research consortia in this field

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eBook $149.00
price for USA (gross)
  • ISBN 978-3-540-78841-6
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  • Immediate eBook download after purchase
Hardcover $189.00
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  • ISBN 978-3-540-78840-9
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  • Usually dispatched within 3 to 5 business days.
Softcover $189.00
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  • ISBN 978-3-642-42773-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
About this book

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.

About the authors

Wil Schilders received the MSc degree in pure and applied mathematics from Nijmegen University in 1978, and a PhD in numerical analysis from Trinity College Dublin in 1980. Since 1980, he has been with Philips Electronics, where he developed algorithms for semiconductor device simulation, electronic circuit simulation, and electromagnetics problems. He wrote two volumes on the numerical simulation of semiconductor devices, and published a special volume on Numerical Methods in Electromagnetics. Since 1999, he is part-time professor in numerical analysis for industry at Eindhoven University of Technology. He developed a novel method known as the Schilders factorization for the solution of indefinite linear systems. Since more than a decade, his interest is in model order reduction, and he is a frequent organizer of workshops and symposia on this topic. Currently, he is with NXP Semiconductors, heading the Mathematics group.

Henk van der Vorst is a leading expert in numerical linear algebra, in particular in iterative methods for linear systems and eigenproblems. The techniques developed and used in these areas are of very high interest in model order reduction. Van der Vorst was the (co-) author of novel and highly important techniques, including incomplete decompositions, Bi-CGSTAB, and the Jacobi-Davidson method. The Bi-CGSTAB paper was the most cited paper in mathematics  of the 1990’s according to ISI in 2000. For the Jacobi-Davidson method he received, together with co-author Sleijpen  a SIAG-LA Award for the best paper in numerical linear algebra over a three year period. Van der Vorst is Editor in Chief of the SIAM Journal SIMAX and he is member of the Netherlands Royal Academy of Sciences.

Joost Rommes received the M.Sc. degree in computational science, the M.Sc.
degree in computer science, and the Ph.D. degree in mathematics from Utrecht
University, Utrecht, The Netherlands, in 2002, 2003, and 2007, respectively. During his PhD studies he worked on eigensolution methods with applications in model order reduction. Some of his developed methods are now used in software for circuit simulation and power system analysis. Joost Rommes currently works at NXP Semiconductors on model order reduction. In the electronics industry, an increase in complexity at transistor level leads to much large models that can not be simulated without accurate reduction techniques. Due to specific properties of the models, there is also need for different reduction techniques that can deal with these properties. This book provides a wide range of reduction techniques.

Table of contents (20 chapters)

  • Introduction to Model Order Reduction

    Schilders, Wil

    Pages 3-32

  • Linear Systems, Eigenvalues, and Projection

    Vorst, Henk

    Pages 33-45

  • Structure-Preserving Model Order Reduction of RCL Circuit Equations

    Freund, Roland W.

    Pages 49-73

  • A Unified Krylov Projection Framework for Structure-Preserving Model Reduction

    Bai, Zhaojun (et al.)

    Pages 75-93

  • Model Reduction via Proper Orthogonal Decomposition

    Pinnau, René

    Pages 95-109

Buy this book

eBook $149.00
price for USA (gross)
  • ISBN 978-3-540-78841-6
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Hardcover $189.00
price for USA
  • ISBN 978-3-540-78840-9
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
Softcover $189.00
price for USA
  • ISBN 978-3-642-42773-2
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
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Bibliographic Information

Bibliographic Information
Book Title
Model Order Reduction: Theory, Research Aspects and Applications
Editors
  • Wilhelmus H. Schilders
  • Henk A. van der Vorst
  • Joost Rommes
Series Title
The European Consortium for Mathematics in Industry
Series Volume
13
Copyright
2008
Publisher
Springer-Verlag Berlin Heidelberg
Copyright Holder
Springer-Verlag Berlin Heidelberg
eBook ISBN
978-3-540-78841-6
DOI
10.1007/978-3-540-78841-6
Hardcover ISBN
978-3-540-78840-9
Softcover ISBN
978-3-642-42773-2
Edition Number
1
Number of Pages
XI, 471
Topics