| Scientific Computing with Ordinary Differential Equations 2002 Edition Contributor(s): Deuflhard, Peter (Author), Rheinboldt, W. C. (Translator), Bornemann, Folkmar (Author) |
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ISBN: 0387954627 ISBN-13: 9780387954622 Publisher: Springer OUR PRICE: $75.99 Product Type: Hardcover - Other Formats Published: July 2002 Annotation: This text provides an introduction to the numerical solution of initial and boundary value problems in ordinary differential equations on a firm theoretical basis. The book strictly presents numerical analysis as part of the more general field of scientific computing. Important algorithmic concepts are explained down to questions of software implementation. For initial value problems a dynamical systems approach is used to develop Runge-Kutta, extrapolation, and multistep methods. For boundary value problems including optimal control problems both multiple shooting and collocation methods are worked out in detail. Graduate students and researchers in mathematics, computer science, and engineering will find this book useful. Chapter summaries, detailed illustrations, and exercises are contained throughout the book with many interesting applications taken from a rich variety of areas.Peter Deuflhard is founder and president of the Zuse Institute Berlin (ZIB) and full professor of scientific computing at the Free University of Berlin, department of mathematics and computer science.Folkmar Bornemann is full professor of scientific computing at the Center of Mathematical Sciences, Technical University of Munich. |
| Additional Information |
| BISAC Categories: - Mathematics | Differential Equations - General - Medical |
| Dewey: 515.352 |
| LCCN: 2002024174 |
| Series: Texts in Applied Mathematics |
| Physical Information: 1.07" H x 6.78" W x 9.04" (1.82 lbs) 486 pages |
| Descriptions, Reviews, Etc. |
| Publisher Description: Mathematics is playing an ever more important role in the physical and biological sciences, provoking a blurring of boundaries between scientific disciplines and a resurgence of interest in the modern as well as the classical techniques of applied mathematics. This renewal of interest, both in re- search and teaching, has led to the establishment of the series Texts in Applied Mathematics (TAM). The development of new courses is a natural consequence of a high level of excitement on the research frontier as newer techniques, such as numeri- cal and symbolic computer systems, dynamical systems, and chaos, mix with and reinforce the traditional methods of applied mathematics. Thus, the purpose of this textbook series is to meet the current and future needs of these advances and to encourage the teaching of new courses. TAM will publish textbooks suitable for use in advanced undergraduate and beginning graduate courses, and will complement the Applied Mathe- matical Sciences (AMS) series, which will focus on advanced textbooks and research-level monographs. |