科學計算導論
Introduction to Scientific Computing
| 節 | 週一 |
|---|---|
5 13:20–14:10 | 科學計算導論 SA223（光復） 3 節連堂 |
6 14:20–15:10 | |
7 15:30–16:20 |
* 根據陽明交大上課時間表所列
To understand the tools needed in research level for finite difference method for PDEs
Numerical Analysis, Linear Algebra,Basic Differential Equations
無備註
學生必須具有至少撰寫Matlab程式語言的能力
Homework 50% Program & Final Project 50%
Finite difference approximations
1D Boundary Value problem, consistency, stability, and convergence
2D Elliptic problems, Poisson equation with singularity, Discrete delta function, Immersed boundary method, Immersed interface method
Iterative Methods for Sparse Linear Systems
Finite difference method for heat equation, maximum principle, von Neumann analysis
Finite difference method for linear advection equation, conservation law, and advection-diffusion equation
| 週次 | 主題 |
|---|---|
| 第 1 週 | 2023-09-11(一) |
| 第 2 週 | 2023-09-18(一) |
| 第 3 週 | 2023-09-25(一) |
| 第 4 週 | 2023-10-02(一) |
| 第 5 週 | 2023-10-09(一) |
| 第 6 週 | 2023-10-16(一) |
| 第 7 週 | 2023-10-23(一) |
| 第 8 週 | 2023-10-30(一) |
| 第 9 週 | 2023-11-06(一) |
| 第 10 週 | 2023-11-13(一) |
| 第 11 週 | 2023-11-20(一) |
| 第 12 週 | 2023-11-27(一) |
| 第 13 週 | 2023-12-04(一) |
| 第 14 週 | 2023-12-11(一) |
| 第 15 週 | 2023-12-18(一) |
| 第 16 週 | 2023-12-25(一) |
Randall J. LeVeque, Finite Difference Methods for Ordinary and Partial Differential Equations, SIAM 2007.
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