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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A unified and accessible introduction to the basic theory of finite difference schemes.

About the Author

John Strikwerda is Professor in the Department of Computer Sciences at the University of Wisconsin, Madison.