| Edition |
2nd ed. |
| Description |
1 online resource (xviii, 459 pages) : illustrations. |
|
data file |
| Physical Medium |
polychrome |
| Series |
Cambridge texts in applied mathematics
|
|
Cambridge texts in applied mathematics.
|
| Bibliography |
Includes bibliographical references and index. |
| Contents |
Preface to the first edition; Preface to the second edition; Flowchart of contents; Part I. Ordinary differential equations: 1. Euler's method and beyond; 2. Multistep methods; 3. Runge-Kutta methods; 4. Stiff equations; 5. Geometric numerical integration; 6. Error control; 7. Nonlinear algebraic systems; Part II. The Poisson equation: 8. Finite difference schemes; 9. The finite element method; 10. Spectral methods; 11. Gaussian elimination for sparse linear equations; 12. Classical iterative methods for sparse linear equations; 13. Multigrid techniques; 14. Conjugate gradients; 15. Fast Poisson solvers; Part III. Partial differential equations of evolution: 16. The diffusion equation; 17. Hyperbolic equations; Appendix. Bluffer's guide to useful mathematics: A.1. Linear algebra; A.2. Analysis; Bibliography; Index. |
| Summary |
This extensively updated edition includes new chapters on emerging subject areas including geometric numerical integration, spectral methods and conjugate gradients. |
| Local Note |
eBooks on EBSCOhost EBSCO eBook Subscription Academic Collection - North America |
| Subject |
Differential equations -- Numerical solutions.
|
|
Differential equations -- Numerical solutions. |
| Genre/Form |
Electronic book.
|
|
Electronic books.
|
| Added Title |
Numerical analysis of differential equations |
| Other Form: |
Iserles, A. First course in the numerical analysis of differential equations. 2nd ed. Cambridge ; New York : Cambridge University Press, 2009 9780521734905 (DLC) 2009285762 (OCoLC)277275036 |
| ISBN |
9780521734905 (paperback) |
|
0521734908 (paperback) |
|
9780511504235 (ebook) |
|
0511504233 (ebook) |
|
9781139129862 (electronic book) |
|
1139129864 (electronic book) |
|
9780511995569 (electronic book) |
|
0511995563 (electronic book) |
|
9781283330398 |
|
1283330393 |
|
