NUMERICAL METHODS II (2 Credits)

Learning Outcomes:

On successful completion of this course, student will be able to: Analyze alternative methods for any particular problem dealing with optimization; Solve ordinary differential equations, Finite Difference (parabolic, elliptics equations) and eigenvalue problems and choose the “best’’ method (or methods) for any particular problem; Solve boundary value problems and Finite element methods for any particular problem.

Topics:

1. One Dimensional Unconstrained Optimization;
2. Multidimensional Unconstrained Optimization;
3. Least Square Regression;
4. Runge Kutta Methods;
5. Stiffnes and Multistep Methods;
6. Boundary Value and Eigenvalue Problems;
7. Finite Difference : Elleptic Equations;
8. Finite Difference : Parabolic Equations;
9. Finite Element Method.