Format:
1 Online-Ressource (xxv, 595 Seiten)
Edition:
Originally published: Englewood Cliffs, N.J. : Prentice-Hall, 1988. (Prentice Hall series in computational mathematics)
ISBN:
0898713544
,
9780898713541
Series Statement:
Classics in applied mathematics 13
Note:
Mode of access: World Wide Web. - System requirements: Adobe Acrobat Reader
,
Includes bibliographical references (s. 534-585) and index
,
List of examples -- Preface -- Chapter 1. Introduction -- Chapter 2. Review of numerical analysis and mathematical background -- Chapter 3. Theory of ordinary differential equations -- Chapter 4. Initial value methods -- Chapter 5. Finite difference methods -- Chapter 6. Decoupling -- Chapter 7. Solving linear equations -- Chapter 8. Solving nonlinear equations -- Chapter 9. Mesh selection -- Chapter 10. Singular perturbations -- Chapter 11. Special topics -- Appendix A. A multiple shooting code -- Appendix B. A collocation code -- References -- Bibliography -- Index
,
This book is the most comprehensive, up-to-date account of the popular numerical methods for solving boundary value problems in ordinary differential equations. It aims at a thorough understanding of the field by giving an in-depth analysis of the numerical methods by using decoupling principles. Numerous exercises and real-world examples are used throughout to demonstrate the methods and the theory. Although first published in 1988, this republication remains the most comprehensive theoretical coverage of the subject matter, not available elsewhere in one volume. Many problems, arising in a wide variety of application areas, give rise to mathematical models which form boundary value problems for ordinary differential equations. These problems rarely have a closed form solution, and computer simulation is typically used to obtain their approximate solution. This book discusses methods to carry out such computer simulations in a robust, efficient, and reliable manner
Additional Edition:
Erscheint auch als Druck-Ausgabe, Paperback ISBN 0898713544
Additional Edition:
Erscheint auch als Druck-Ausgabe, Paperback ISBN 9780898713541
Language:
English
Subjects:
Mathematics
Keywords:
Gewöhnliche Differentialgleichung
;
Randwertproblem
;
Numerisches Verfahren
;
Differentialgleichung
;
Grenzwertberechnung
;
Anfangsrandwertproblem
;
Aufgabensammlung
DOI:
10.1137/1.9781611971231
Author information:
Ascher, Uri M. 1946-
Bookmarklink