Table of contents for A first course in the numerical analysis of differential equations / Arieh Iserles.


Bibliographic record and links to related information available from the Library of Congress catalog


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Part I. Ordinary Differential Eqations: 1. Euler's method and beyond
2. Multistep methods
3. Runge-Kutta methods
4. Stiff equations
5. Error control
6. Nonlinear algebraic systems
Part II. The Possion Equation: 7. Finite difference schemes
8. The finite element method
9. Gaussian elimination for sparse linear equations
10. Iterative methods for sparse linear equations
11. Multigrid techniques
12. Fast Poisson solvers
Part III. Partial Differential Equations of Evolution: 13. The diffusion equation
14. Hyperbolic equations
Appendix: a bluffer's guide to useful mathematics.


Library of Congress subject headings for this publication: Differential equations Numerical solutions