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  • Conference proceedings
  • © 2005

Dimension Reduction of Large-Scale Systems

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

Part of the book series: Lecture Notes in Computational Science and Engineering (LNCSE, volume 45)

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Table of contents (24 papers)

  1. Front Matter

    Pages I-XI
  2. Papers

    1. Model Reduction Based on Spectral Projection Methods

      • Peter Benner, Enrique S. Quintana-Ortí
      Pages 5-48
    2. Smith-Type Methods for Balanced Truncation of Large Sparse Systems

      • Serkan Gugercin, Jing-Rebecca Li
      Pages 49-82
    3. On Model Reduction of Structured Systems

      • Danny C. Sorensen, Athanasios C. Antoulas
      Pages 117-130
    4. Model Reduction of Time-Varying Systems

      • Younes Chahlaoui, Paul Van Dooren
      Pages 131-148
    5. Model Reduction of Second-Order Systems

      • Younes Chahlaoui, Kyle A. Gallivan, Antoine Vandendorpe, Paul Van Dooren
      Pages 149-172
  3. Benchmarks

    1. Oberwolfach Benchmark Collection

      • Jan G. Korvink, Evgenii B. Rudnyi
      Pages 311-315
    2. A File Format for the Exchange of Nonlinear Dynamical ODE Systems

      • Jan Lienemann, Behnam Salimbahrami, Boris Lohmann, Jan G. Korvink
      Pages 317-326
    3. Nonlinear Heat Transfer Modeling

      • Jan Lienemann, Amirhossein Yousefi, Jan G. Korvink
      Pages 327-331
    4. Microhotplate Gas Sensor

      • Jürgen Hildenbrand, Tamara Bechtold, Jürgen Wöllenstein
      Pages 333-336
    5. Tunable Optical Filter

      • Dennis Hohlfeld, Tamara Bechtold, Hans Zappe
      Pages 337-340
    6. Convective Thermal Flow Problems

      • Christian Moosmann, Andreas Greiner
      Pages 341-343
    7. Boundary Condition Independent Thermal Model

      • Evgenii B. Rudnyi, Jan G. Korvink
      Pages 345-348
    8. The Butterfly Gyro

      • Dag Billger
      Pages 349-352

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.

Editors and Affiliations

  • Fakultät für Mathematik, Technische Universität Chemnitz, Chemnitz, Germany

    Peter Benner

  • Department of Computational and Applied Mathematics, Rice University, Houston, USA

    Danny C. Sorensen

  • Institut für Mathematik, Technische Universität Berlin, Berlin, Germany

    Volker Mehrmann

Bibliographic Information

Buy it now

Buying options

eBook USD 129.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 169.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access