Partial differential equations : modeling, analysis, computation /
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Author / Creator: | Mattheij, Robert M. M. |
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Imprint: | Philadelphia : Society for Industrial and Applied Mathematics, c2005. |
Description: | xxxiii, 665 p. : ill. ; 26 cm. |
Language: | English |
Series: | SIAM monographs on mathematical modeling and computation |
Subject: | |
Format: | Print Book |
URL for this record: | http://pi.lib.uchicago.edu/1001/cat/bib/5843202 |
Table of Contents:
- List of Figures
- List of Tables
- Notation
- Preface
- 1. Differential and difference equations
- 2. Characterization and classification
- 3. Fourier theory
- 4. Distributions and fundamental solutions
- 5. Approximation by finite differences
- 6. The Equations of continuum mechanics and electromagnetics
- 7. The art of modeling
- 8. The analysis of elliptic equations
- 9. Numerical methods for elliptic equations
- 10. Analysis of parabolic equations
- 11. Numerical methods for parabolic equations
- 12. Analysis of hyperbolic equations
- 13. Numerical methods for scalar hyperbolic equations
- 14. Numerical methods for hyperbolic systems
- 15. Perturbation methods
- 16. Modeling, analyzing, and simulating problems from practice
- Appendices. Useful definitions and properties
- Bibliography
- Index