Ordinary Differential Equations in Theory and Practice
Seiten
1987
Society for Industrial & Applied Mathematics,U.S. (Verlag)
978-0-89871-531-6 (ISBN)
Society for Industrial & Applied Mathematics,U.S. (Verlag)
978-0-89871-531-6 (ISBN)
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In order to emphasize the relationships and cohesion between analytical and numerical techniques, this book presents a comprehensive and integrated treatment of both aspects in combination with the modelling of relevant problem classes.
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.
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.
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.
| Erscheint lt. Verlag | 1.1.1987 |
|---|---|
| Reihe/Serie | Classics in Applied Mathematics |
| Verlagsort | New York |
| Sprache | englisch |
| Maße | 150 x 228 mm |
| Gewicht | 576 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
| ISBN-10 | 0-89871-531-8 / 0898715318 |
| ISBN-13 | 978-0-89871-531-6 / 9780898715316 |
| Zustand | Neuware |
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