| 時間 | 主題 | |
|---|---|---|
| 9/18 | 課程簡介, Euler's method & beyond | |
| 9/25 | Multistep methods & order of accuracy | |
| 10/2 | Convergence, zero stability & absolute stability | |
| 10/9 | Computer-Aid-Teaching, Adams-Bashforth & Adams-Moulton methods derivation | |
| 10/16 | BDF & Runge-Kutta methods | |
| 10/23 | Stiff problems & PDEs | |
| 10/30 | Diffusion equation: accuracy & stability of numerical schemes | |
| 11/6 | Diffusion equation: Von Neumann analysis | |
| 11/13 | Diffusion equation | |
| 11/20 | Wave equations | |
| 11/27 | Hyperbolic conservation laws: | |
| 12/4 | Hyperbolic conservation laws: conservative methods | |
| 12/11 | Hyperbolic conservation laws: Riemann solvers | |
| 12/18 | Poisson's equation : finite difference method | |
| 12/25 | Poisson's equation: function space method | |
| 1/1 | 開國紀念日 (放假) | |
| 1/8 | 期末報告 |