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Ordinary Differential Equations in Theory and Practice

Ordinary Differential Equations in Theory and Practice

$62.00 (P)

Part of Classics in Applied Mathematics

  • Authors:
  • Robert Mattheij, Technische Universiteit Eindhoven, The Netherlands
  • Jaap Molenaar, Technische Universiteit Eindhoven, The Netherlands
  • Date Published: January 1987
  • 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: 9780898715316

$ 62.00 (P)
Paperback

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  • In order to emphasize the relationships and cohesion between analytical and numerical techniques, Ordinary Differential Equations in Theory and Practice presents a comprehensive and integrated treatment of both aspects in combination with the modeling of relevant problem classes. This text is uniquely geared to provide enough insight into qualitative aspects of ordinary differential equations (ODEs) to offer a thorough account of quantitative methods for approximating solutions numerically, and to acquaint the reader with mathematical modeling, where such ODEs often play a significant role. Although originally published in 1995, the text remains timely and useful to a wide audience. It provides a thorough introduction to ODEs, since it treats not only standard aspects such as existence, uniqueness, stability, one-step methods, multistep methods, and singular perturbations, but also chaotic systems, differential-algebraic systems, and boundary value problems.

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    Product details

    • Date Published: January 1987
    • format: Paperback
    • isbn: 9780898715316
    • length: 412 pages
    • dimensions: 228 x 150 x 19 mm
    • weight: 0.576kg
    • 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 to the Classics Edition
    Preface
    1. Introduction
    2. Existence, Uniqueness, and Dependence on Parameters
    3. Numerical Analysis of One-Step Methods
    4. Linear Systems
    5. Stability
    6. Chaotic Systems
    7. Numerical Analysis of Multistep Methods
    8. Singular Perturbations and Stiff Differential Equations
    9. Differential-Algebraic Equations
    10. Boundary Value Problems
    11. Concepts from Classical Mechanics
    12. Mathematical Modelling
    Appendices
    References
    Index.

  • Authors

    Robert Mattheij, Technische Universiteit Eindhoven, The Netherlands

    Jaap Molenaar, Technische Universiteit Eindhoven, The Netherlands

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