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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

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$ 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