光電物理中之數值方法導論
Introduction to Numerical Methods in Optical Physics
| 節 | 週二 |
|---|---|
5 13:20–14:10 | 光電物理中之數值方法導論 EO115 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
以光電物理中的實際問題作為例子,教授學生如何用數值方法來解決問題。課程的內容將集中在教授如何以有限差分、有限元素、及其他常用數值方法來解常微分、偏微分方程之邊界值、起始值、固有值、或最佳化之問題。
大學部工程數學(或物理數學)及電磁學,能夠用任何一種計算機語言(Python,C/C++, Matlab, Mathematica, Fortran等)來寫作程式。
課程網頁: NCTU new e3 教學平台
三個程式習題: 90% 上課表現: 10%
| 週次 | 主題 |
|---|---|
| 第 1 週 | Introduction (I) |
| 第 2 週 | Introduction(II) |
| 第 3 週 | Finite difference methods(I) |
| 第 4 週 | Finite difference methods(II) |
| 第 5 週 | Finite difference methods(III) |
| 第 6 週 | Finite difference methods(IV) |
| 第 7 週 | Finite difference methods(V) |
| 第 8 週 | Finite difference methods(VI) |
| 第 9 週 | Finite element methods (I) |
| 第 10 週 | Finite element methods (II) |
| 第 11 週 | Finite element methods (III) |
| 第 12 週 | Finite element methods (IV) |
| 第 13 週 | Finite element methods (V) |
| 第 14 週 | Iterative methods of numerical Linear algebra (I) |
| 第 15 週 | Iterative methods of numerical Linear algebra (II) |
| 第 16 週 | Optimization problems (I) |
| 第 17 週 | Optimization problems (II) |
| 第 18 週 | Optimization problems (III) |
There is no particular textbook for the course. The following are some reference sources that may be useful. Additional references will be given during the lectures if needed. References: 1. L.N. Trefethen and D. Bau, III, "Numerical Linear Algebra," Philadelphia, PA: Society for Industrial and Applied Mathematics, 1997. ISBN: 9780898713619. (http://people.sc.fsu.edu/~jburkardt/classes/nla_2015/numerical_linear_algebra.pdf) 2. Richard L. Burden and J. Douglas Faires, "Numerical Analysis", 7th ed. Belmont, CA: Brooks Cole, 2000. ISBN: 0534382169. (Textbook for Numerical Analysis.) 3. Michael T. Heath, "Scientific Computing: An Introductory Survey", (McGraw-Hill 2002) (For a good survey and clearer comparison on different numerical methods) (Book website on http://heath.cs.illinois.edu/scicomp/. In particular, you can find excellent lecture notes and library/software information on the website.) 4. Germund Dahlquist and Åke Björck, "Numerical Methods in Scientific Computing", SIAM 2008. (For details on Numerical analysis) 5. Bai, et al., "Templates for the Solution of Algebraic Eigenvalue Problems: a Practical Guide," Philadelphia, PA: Society for Industrial and Applied Mathematics, 2000. ISBN: 9780898714715. (on-line book: http://www.cs.ucdavis.edu/~bai/ET/contents.html) 6. Barrett, et al., "Templates for the Solution of Linear Systems: Building Blocks for Iterative Methods," Philadelphia, PA: Society for Industrial and Applied Mathematics, 1993. ISBN: 9780898713282. (on-line book: http://www.netlib.org/linalg/html_templates/Templates.html) 7. "Numerical Recipes 3rd Edition: The Art of Scientific Computing in C++", William H. Press, Brian P. Flannery, Saul A. Teukolsky, William T. Vetterling (http://numerical.recipes/) (For general reference and code examples on numerical methods)
- 地點
- 田家炳光電大樓215室
- 時間
- Tuesday 10:00AM-12:00AM (Make an appointment with me first)
- 聯絡方式
- yclai@mail.nctu.edu.tw (03)5731746