A first course in the numerical analysis of differential equations /

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This extensively updated edition includes new chapters on emerging subject areas including geometric numerical integration, spectral methods and conjugate gradients.

Bibliographic Details
Call Number:Libro Electrónico
Main Author: Iserles, A.
Format: Electronic eBook
Language:Inglés
Published: Cambridge ; New York : Cambridge University Press, 2009.
Edition:2nd ed.
Series:Cambridge texts in applied mathematics.
Subjects:
Differential equations > Numerical solutions.
Équations différentielles > Solutions numériques.
MATHEMATICS > Numerical Analysis.
Differential equations > Numerical solutions
Numerische Mathematik
Differentialgleichung
Differentialekvationer.
Online Access:Texto completo
Table of 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.

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