科學計算導論
Introduction to Scientific Computing
| 節 | 週一 |
|---|---|
5 13:20–14:10 | 科學計算導論 SA213（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
This course will cover the following topics: iterative methods for solving linear systems, polynomial interpolation, numerical integration, numerical methods of ordinary differential equations, two-point boundary value problems and parabolic and hyperbolic initial boundary value problems.
Linear algebra, analysis, ordinary/partial differential equations, programming such as MATLAB or python.
無備註
https://hackmd.io/@NYCUAM/2025SC
Homework: 40% Exams: 60%
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| 週次 | 主題 |
|---|---|
| 第 1 週 | Polynomial interpolation 1 |
| 第 2 週 | Polynomial interpolation 2 |
| 第 3 週 | Optimal nodes for interpolation |
| 第 4 週 | Orthogonal polynomials |
| 第 5 週 | Holiday |
| 第 6 週 | Holiday |
| 第 7 週 | Numerical solution of ODE |
| 第 8 週 | Runge Kutta method |
| 第 9 週 | Fourier spectral method |
| 第 10 週 | BVP - Finite difference approximation |
| 第 11 週 | BVP: energy method |
| 第 12 週 | BVP: spectral collocation method |
| 第 13 週 | Heat equation |
| 第 14 週 | wave equation |
| 第 15 週 | Von Neumann analysis |
| 第 16 週 | stability and convergence of time dependent PDEs |
References: 1. Numerical Mathematics, second edition, Quarteroni, Sacco and Saleri. 2. A first course in the numerical analysis of differential equations, A. Iserles 3. Numerical analysis, D. Kincaid and W. Cheney
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