NUMERICAL SOLUTIONS OF PARTIAL DIFFERENTIAL-MATH 652

Course Description:

Finite Difference Methods: Elliptic, parabolic and hyperbolic equations, Accuracy,
Consistency, Stability, Energy methods for stability, Hyperbolic systems, Boundary Conditions, Dissipation, Dispersion, Finite Element Methods: Elliptic equations, Ritz method, Galerkin method, Construction of basis function,
Interelement continuity and patch test, Semi-discrete Galerkin methods for time dependent problems, Solution of systems of ordinary differential equations.