| Initial Value Problems |
| 1 |
Differential Equations and Stable Difference Methods |
| 2 |
Finite Differences: Accuracy, Stability, Convergence |
| 3 |
The Wave Equation and von Neumann Stability |
| 4 |
The Heat Equation and Convection-Diffusion |
| 5 |
Maxwell's Equations and Staggered Leapfrog |
| 6 |
Nonlinear Flow Equations |
| 7 |
Separation of Variables and Spectral Methods |
| Solving Large Linear Systems |
| 8 |
Elimination with Reordering |
| 9 |
Iterative Methods |
| 10 |
Multigrid Methods |
| 11 |
Krylov Methods |
| 12 |
Saddle Points and the Stokes Problem |
| 13 |
Optimization |
|
Project Reports |
