Partial Differential Equations - Analytical and Numerical Methods (2. ed.)

Preface 1. Classification of differential equations 2. Models in one dimension 3. Essential linear algebra 4. Essential ordinary differential equations 5. Boundary value problems in statics 6. Heat flow and diffusion 7. Waves 8. First-order PDEs and the method of characteristics 9. Green's functions 10. Sturm-Liouville eigenvalue problems 11. Problems in multiple spatial dimensions 12. More about Fourier series 13. More about finite element methods Appendix A. Proof of Theorem 3.47 Appendix B. Shifting the data in two dimensions Bibliography Index.