Ordinary Differential Equations in Theory and Practice: 43 (Classics in Applied Mathematics, Series Number 43) - Softcover

Mattheij, Robert; Molenaar, Jaap

Softcover

ISBN 10: 0898715318 ISBN 13: 9780898715316

Publisher: Society for Industrial and Applied Mathematics, 1987

Synopsis

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.

About this title

Review

"...ideal for an advanced undergraduate or basic graduate course in applied mathematics..." (Zentralblatt Math, Vol.1001, No.01, 2003)

Edition details

• Publisher: Society for Industrial and Applied Mathematics
• Publication date: 1987
• Language: English
• ISBN 10: 0898715318
• ISBN 13: 9780898715316
• Binding: Paperback
• Number of pages: 412