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Dynamics of Algorithms

  • Conference proceedings
  • © 2000

Overview

Editors:
  1. Rafael Llave

    1. Department of Mathematics, University of Texas, Austin, USA

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  2. Linda R. Petzold

    1. Department of Mechanical and Environmental Engineering, University of California, Santa Barbara, Santa Barbara, USA

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    You can also search for this editor in PubMed   Google Scholar

  3. Jens Lorenz

    1. Department of Mathematics and Statistics, University of New Mexico, Albuquerque, USA

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

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Table of contents (7 papers)

  1. Front Matter

    Pages i-ix
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  2. Complexity and Applications of Parametric Algorithms of Computational Algebraic Geometry

    • Marek Rychlik
    Pages 1-29

  3. Conservative and Approximately Conservative Algorithms on Manifolds

    • Debra Lewis
    Pages 31-54

  4. DAEs That Should Not Be Solved

    • Uri M. Ascher
    Pages 55-67

  5. Continuous Orthonormalization for Linear Two-Point Boundary Value Problems Revisited

    • Luca Dieci, Erik S. van Vleck
    Pages 69-90

  6. Asymptotic Expansions and Backward Analysis for Numerical Integrators

    • Ernst Hairer, Christian Lubich
    Pages 91-106

  7. Convergence Proofs for Numerical IVP Software

    • Harbir Lamba, Andrew Stuart
    Pages 107-125

  8. Bifurcations of the Complex Henon Map

    • Estela A. Gavosto
    Pages 127-134

  9. Back Matter

    Pages 135-145
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Keywords

About this book

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.

Editors and Affiliations

  • Department of Mathematics, University of Texas, Austin, USA

    Rafael Llave

  • Department of Mechanical and Environmental Engineering, University of California, Santa Barbara, Santa Barbara, USA

    Linda R. Petzold

  • Department of Mathematics and Statistics, University of New Mexico, Albuquerque, USA

    Jens Lorenz

Bibliographic Information

  • Book Title: Dynamics of Algorithms

  • Editors: Rafael Llave, Linda R. Petzold, Jens Lorenz

  • Series Title: The IMA Volumes in Mathematics and its Applications

  • DOI: https://doi.org/10.1007/978-1-4612-1274-4

  • Publisher: Springer New York, NY

  • eBook Packages: Springer Book Archive

  • Copyright Information: Springer Science+Business Media New York 2000

  • Hardcover ISBN: 978-0-387-98920-4Published: 08 November 1999

  • Softcover ISBN: 978-1-4612-7073-7Published: 23 October 2012

  • eBook ISBN: 978-1-4612-1274-4Published: 06 December 2012

  • Series ISSN: 0940-6573

  • Series E-ISSN: 2198-3224

  • Edition Number: 1

  • Number of Pages: IX, 145

  • Topics: Combinatorics

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