About this book
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.
This book was translated by Werner Rheinboldt, professor emeritus of numerical analysis and scientific computing at the Department of Mathematics, University of Pittsburgh.
- Book Title Scientific Computing with Ordinary Differential Equations
- Series Title Texts in Applied Mathematics
- DOI https://doi.org/10.1007/978-0-387-21582-2
- Copyright Information Springer-Verlag New York 2002
- Publisher Name Springer, New York, NY
- eBook Packages Springer Book Archive
- Hardcover ISBN 978-0-387-95462-2
- Softcover ISBN 978-1-4419-3011-8
- eBook ISBN 978-0-387-21582-2
- Series ISSN 0939-2475
- Edition Number 1
- Number of Pages XX, 486
- Number of Illustrations 0 b/w illustrations, 0 illustrations in colour
- Additional Information Original German edition published by DeGruyter, Germany
Ordinary Differential Equations
Computational Mathematics and Numerical Analysis
- Buy this book on publisher's site
P. Deuflhard and F. Bornemann
Scientific Computing with Ordinary Differential Equations
"Provides a sound fundamental introduction to the mathematical and numerical aspects of discretization methods for solving initial value problems in ordinary differential equations . . . This book would make an interesting (non-conventional) textbook for a graduate course in numerical analysis of ODEs. It is written at a level which is accessible to such an audience, covers a wide variety of topics, both classical and modern, and contains a generous supply of homework exercises. In summary, this is an excellent and timely book."—MATHEMATICAL REVIEWS
"As indicated by the title, this is not a treatise merely on the numerical analysis of ordinary differential equations (ODEs). … the reader is made acquainted with nontrivial examples of ODEs arising in diverse areas and with intrinsic properties of these equations. … The consideration of all the various components … makes for a very informative reading which is further aided by the undogmatic style of presentation. The volume can be recommended to newcomers, but also to instructors in this area." (H. Muthsam, Monatshefte für Mathematik, Vol. 143 (1), 2004)