Finite Difference Schemes And Partial Differential Equations / Edition 1by John C. Strikwerda
Pub. Date: 11/30/2004
A unified and accessible introduction to the basic theory of finite difference schemes. See more details below
A unified and accessible introduction to the basic theory of finite difference schemes.
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- Edition description:
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- 72.50(w) x 10.25(h) x 1.25(d)
Table of Contents
Preface to the second edition; Preface to the first edition; 1. Hyperbolic partial differential equations; 2. Analysis of finite difference Schemes; 3. Order of accuracy of finite difference schemes; 4. Stability for multistep schemes; 5. Dissipation and dispersion; 6. Parabolic partial differential equations; 7. Systems of partial differential equations in higher dimensions; 8. Second-order equations; 9. Analysis of well-posed and stable problems; 10. Convergence estimates for initial value problems; 11. Well-posed and stable initial-boundary value problems; 12. Elliptic partial differential equations and difference schemes; 13. Linear iterative methods; 14. The method of steepest descent and the conjugate gradient method; Appendix A. Matrix and vectoranalysis; Appendix B. A survey of real analysis; Appendix C. A Survey of results from complex analysis; References; Index.
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