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
Differential Equations