Describes the principles and applications of advanced numerical methods for solving PDEs. Also shows how Mathematica
can be used for the analytic investigation of such numerical properties as stability, approximation, and dispersion. Designed for researchers and practitioners as well as students.
Introduction to Mathematica
| Finite Difference Methods for Hyperbolic PDEs | Finite Difference Methods for Parabolic PDEs | Numerical Methods for Elliptic PDEs | Appendix