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|a A first course in the numerical analysis of differential equations /
|c Arieh Iserles.
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|a Numerical analysis of differential equations
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|a 2nd ed.
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|a Cambridge ;
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|b Cambridge University Press,
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|a Cambridge texts in applied mathematics
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|a Includes bibliographical references and index.
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|a 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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520 |
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|a This extensively updated edition includes new chapters on emerging subject areas including geometric numerical integration, spectral methods and conjugate gradients.
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|a English.
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|a Differential equations
|x Numerical solutions.
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|a Équations différentielles
|x Solutions numériques.
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|a Iserles, A.
|t First course in the numerical analysis of differential equations.
|b 2nd ed.
|d Cambridge ; New York : Cambridge University Press, 2009
|z 9780521734905
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