Ordinary Differential Equations in Theory and Practice - Brossura

Mattheij, Robert; Molenaar, Jaap

Brossura

ISBN 10: 0898715318 ISBN 13: 9780898715316

Casa editrice: Society for Industrial and Applied Mathematics, 1987

Riassunto

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.

Su questo libro

Contenuti

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.

Dettagli dell'edizione

• Editore: Society for Industrial and Applied Mathematics
• Data di pubblicazione: 1987
• Lingua: Inglese
• ISBN 10: 0898715318
• ISBN 13: 9780898715316
• Rilegatura: Copertina flessibile
• Numero di pagine: 412
• Contatto del produttore: non disponibile
• Persona responsabile: non disponibile