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Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations

Computer Methods for Ordinary Differential Equations and Differential-Algebraic Equations

$74.00 (P)

  • Date Published: August 1998
  • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • format: Paperback
  • isbn: 9780898714128

$ 74.00 (P)
Paperback

This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
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About the Authors
  • Designed for those people who want to gain a practical knowledge of modern techniques, this book contains all the material necessary for a course on the numerical solution of differential equations. Written by two of the field's leading authorities, it provides a unified presentation of initial value and boundary value problems in ODEs as well as differential-algebraic equations. The approach is aimed at a thorough understanding of the issues and methods for practical computation while avoiding an extensive theorem-proof type of exposition. It also addresses reasons why existing software succeeds or fails. This is a practical and mathematically well informed introduction that emphasizes basic methods and theory, issues in the use and development of mathematical software, and examples from scientific engineering applications. Topics requiring an extensive amount of mathematical development are introduced, motivated, and included in the exercises, but a complete and rigorous mathematical presentation is referenced rather than included.

    • Appropriate for senior undegraduate or beginning graduate courses with a computational focus, or for those wanting to learn more about computational differential equations
    • Aimed at providing a thorough understanding of the issues and methods for practical computation, while avoiding an extensive theorem-proof type of exposition
    • Written by two of the world's leading authorities
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    Reviews & endorsements

    ' … All in all, the book, which also contains many examples and pointers to software, is excellent as an introduction to the field and definitely suitable for introductory courses at senior undergraduate or beginning graduate level.' C. Bendtsen, Zentralblatt für Mathematik

    'I found the book recommendable and very readable. Moreoever, the layout is a feast for the eyes, showing the possibilities of a careful LaTex design.' Michael Hanke, Mathematical Reviews

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    Product details

    • Date Published: August 1998
    • format: Paperback
    • isbn: 9780898714128
    • length: 332 pages
    • copublisher: Society for Industrial and Applied Mathematics
    • dimensions: 251 x 180 x 23 mm
    • weight: 0.575kg
    • availability: This item is not supplied by Cambridge University Press in your region. Please contact Soc for Industrial & Applied Mathematics for availability.
  • Table of Contents

    Preface
    Part I. Introduction:
    1. Ordinary differential equations
    Part II. Initial Value Problems:
    2. On problem stability
    3. Basic methods, basic concepts
    4. One-step methods
    5. Linear multistep methods
    Part III. Boundary Value Problems:
    6. More boundary value problem theory and applications
    7. Shooting
    8. Finite difference methods for boundary value problems
    Part IV. Differential-Algebraic Equations:
    9. More on differential-algebraic equations
    10. Numerical methods for differential-algebraic equations
    Bibliography
    Index.

  • Authors

    Uri M. Ascher, University of British Columbia, Vancouver

    Linda R. Petzold, University of California, Santa Barbara

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