Partial Differential Equations: Modeling, Analysis, Computationby R. M.M. Mattheij, Thije Boonkkamp J. H. M ten, S. W. Rienstra
Pub. Date: 09/28/2005
Textbook with a unique approach that integrates analysis and numerical methods and includes modelling to address real-life problems. See more details below
Textbook with a unique approach that integrates analysis and numerical methods and includes modelling to address real-life problems.
- Publication date:
- SIAM Monographs on Mathematical Modeling and Computation
- Edition description:
- New Edition
- Product dimensions:
- 7.00(w) x 9.90(h) x 1.20(d)
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.
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