Ordinary Differential Equations in Theory and Practice - Robert Mattheij, Jaap Molenaar

Ordinary Differential Equations in Theory and Practice

Buch | Softcover
412 Seiten
1987
Society for Industrial & Applied Mathematics,U.S. (Verlag)
978-0-89871-531-6 (ISBN)
89,75 inkl. MwSt
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.

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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