John C. Strikwerda

Finite Difference Schemes and Partial Differential Equations

• Gebundenes Buch

Produktbeschreibung

This book provides a unified and accessible introduction to the basic theory of finite difference schemes applied to the numerical solution of partial differential equations. This updated edition includes several important modifications, whilst retaining the clear presentation. The addition of new figures and tables clarify important concepts and properties.

Produktdetails

• Verlag: Cambridge University Press / Society for Industrial and Applied Mathematics
• 2nd ed.
• Seitenzahl: 450
• Erscheinungstermin: 1. November 2004
• Englisch
• Abmessung: 263mm x 187mm x 29mm
• Gewicht: 1020g
• ISBN-13: 9780898715675
• ISBN-10: 0898715679
• Artikelnr.: 22794535

Autorenporträt

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

Inhaltsangabe

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.