Partial differential equations : modeling, analysis, computation

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.