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A First Course in the Numerical Analysis of Differential Equations

Arieh Iserles
Publisher: 
Cambridge University Press
Publication Date: 
2008
Number of Pages: 
459
Format: 
Paperback
Edition: 
2
Series: 
Cambridge Texts in Applied Mathematics 44
Price: 
60.00
ISBN: 
9780521734905
Category: 
Textbook
We do not plan to review this book.

 

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.

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