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Dimension Reduction of Large-Scale Systems

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

  • Conference proceedings
  • © 2005

Overview

Editors:
  1. Peter Benner

    1. Fakultät für Mathematik, Technische Universität Chemnitz, Chemnitz, Germany

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  2. Danny C. Sorensen

    1. Department of Computational and Applied Mathematics, Rice University, Houston, USA

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  3. Volker Mehrmann

    1. Institut für Mathematik, Technische Universität Berlin, Berlin, Germany

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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
    Download chapter PDF

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

      • Volker Mehrmann, Tatjana Stykel
      Pages 83-115

    4. On Model Reduction of Structured Systems

      • Danny C. Sorensen, Athanasios C. Antoulas
      Pages 117-130

    5. Model Reduction of Time-Varying Systems

      • Younes Chahlaoui, Paul Van Dooren
      Pages 131-148

    6. Model Reduction of Second-Order Systems

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

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

      • Zhaojun Bai, Karl Meerbergen, Yangfeng Su
      Pages 173-189

    8. Padé-Type Model Reduction of Second-Order and Higher-Order Linear Dynamical Systems

      • Roland W. Freund
      Pages 191-223

    9. Controller Reduction Using Accuracy-Enhancing Methods

      • Andras Varga
      Pages 225-260

    10. Proper Orthogonal Decomposition Surrogate Models for Nonlinear Dynamical Systems: Error Estimates and Suboptimal Control

      • Michael Hinze, Stefan Volkwein
      Pages 261-306

  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

    9. A Semi-Discretized Heat Transfer Model for Optimal Cooling of Steel Profiles

      • Peter Benner, Jens Saak
      Pages 353-356
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Keywords

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

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