Ordinary Differential Equations in Theory and Practice
Seiten
2002
Society for Industrial & Applied Mathematics,U.S. (Verlag)
9780898715316 (ISBN)
Society for Industrial & Applied Mathematics,U.S. (Verlag)
9780898715316 (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, this book 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.
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. The authors aim to show the use of ODEs in real life problems, so there is an extended chapter in which not only the general concepts of mathematical modeling but also illustrative examples from various fields are presented. A chapter on classical mechanics makes the book self-contained.
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 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.
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. The authors aim to show the use of ODEs in real life problems, so there is an extended chapter in which not only the general concepts of mathematical modeling but also illustrative examples from various fields are presented. A chapter on classical mechanics makes the book self-contained.
Preface to the Classics Edition
Preface
Chapter 1: Introduction
Chapter 2: Existence, Uniqueness, and Dependence on Parameters
Chapter 3: Numerical Analysis of One-Step Methods
Chapter 4: Linear Systems
Chapter 5: Stability
Chapter 6: Chaotic Systems
Chapter 7: Numerical Analysis of Multistep Methods
Chapter 8: Singular Perturbations and Stiff Differential Equations
Chapter 9: Differential-Algebraic Equations
Chapter 10: Boundary Value Problems
Chapter 11: Concepts from Classical Mechanics
Chapter 12: Mathematical Modelling
Appendices
References
Index.
| Erscheint lt. Verlag | 31.10.2002 |
|---|---|
| Reihe/Serie | Classics in Applied Mathematics |
| Verlagsort | New York |
| Sprache | englisch |
| Maße | 152 x 226 mm |
| Gewicht | 578 g |
| Themenwelt | Mathematik / Informatik ► Mathematik ► Analysis |
| Mathematik / Informatik ► Mathematik ► Angewandte Mathematik | |
| ISBN-13 | 9780898715316 / 9780898715316 |
| Zustand | Neuware |
| Informationen gemäß Produktsicherheitsverordnung (GPSR) | |
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