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Dynamics of Algorithms

  • Rafael de la Llave
  • Linda R. Petzold
  • Jens Lorenz

Part of the The IMA Volumes in Mathematics and its Applications book series (IMA, volume 118)

Table of contents

  1. Front Matter
    Pages i-ix
  2. Uri M. Ascher
    Pages 55-67
  3. Ernst Hairer, Christian Lubich
    Pages 91-106
  4. Harbir Lamba, Andrew Stuart
    Pages 107-125
  5. Estela A. Gavosto
    Pages 127-134
  6. Back Matter
    Pages 135-145

About these proceedings

Introduction

The articles collected in this volume represent the contributions presented at the IMA workshop on "Dynamics of Algorithms" which took place in November 1997. The workshop was an integral part of the 1997 -98 IMA program on "Emerging Applications of Dynamical Systems." The interaction between algorithms and dynamical systems is mutually beneficial since dynamical methods can be used to study algorithms that are applied repeatedly. Convergence, asymptotic rates are indeed dynamical properties. On the other hand, the study of dynamical systems benefits enormously from having efficient algorithms to compute dynamical objects.

Keywords

Boundary value problem Volume algebra algebraic geometry bifurcation complexity computation convergence dynamical objects dynamical systems geometry integral interaction manifold object

Editors and affiliations

  • Rafael de la Llave
    • 1
  • Linda R. Petzold
    • 2
  • Jens Lorenz
    • 3
  1. 1.Department of MathematicsUniversity of TexasAustinUSA
  2. 2.Department of Mechanical and Environmental EngineeringUniversity of California, Santa BarbaraSanta BarbaraUSA
  3. 3.Department of Mathematics and StatisticsUniversity of New MexicoAlbuquerqueUSA

Bibliographic information

  • DOI https://doi.org/10.1007/978-1-4612-1274-4
  • Copyright Information Springer-Verlag New York, Inc. 2000
  • Publisher Name Springer, New York, NY
  • eBook Packages Springer Book Archive
  • Print ISBN 978-1-4612-7073-7
  • Online ISBN 978-1-4612-1274-4
  • Series Print ISSN 0940-6573
  • Buy this book on publisher's site