計算數學
Computational Mathematics
| 節 | 週一 | 週三 |
|---|---|---|
1 08:00–08:50 | 計算數學 SA214（光復） | |
5 13:20–14:10 | 計算數學 SA214（光復） 2 節連堂 | |
6 14:20–15:10 |
* 根據陽明交大上課時間表所列
Weeks 1-6: Approximating functions Weeks 7-12: Solving system of linear equations Weeks 13-18: Solution of nonlinear equations
Calculus I and II, Linear algebra
無備註
There will be 6 hrs joint-lecture with ``Computational physics".
Project 30%; Homework assignments 30%; Exams 40%.
教師未提供此項資料
| 週次 | 主題 |
|---|---|
| 第 2 週 | Introduction and mathematical preliminaries |
| 第 3 週 | Approximating functions: Polynomial interpolation |
| 第 3 週 | Review of equations in general physics and quantum physics (Joint course with ``Comp. Phys.") |
| 第 4 週 | Taylor series, error analysis (Joint course with ``Comp. Phys.") |
| 第 6 週 | Approximating functions: Trigonometric interpolation |
| 第 8 週 | Matrix diagonalization (Joint course with ``Comp. Phys.") |
| 第 9 週 | Solving system of linear equations: LU, Cholesky factorization and power method |
| 第 10 週 | Overview of Physical problems in statistical physics, central limit theorem (Joint course with ``Comp. Phys.") |
| 第 11 週 | Solving system of linear equations: Solution of equations by iterative methods |
| 第 13 週 | Solution of nonlinear equations: Root finding methods |
| 第 16 週 | Solution of nonlinear equations: Homotopy and continuation methods |
``Numerical Analysis: Mathematics of Scientific Computing" by David Kincaid and Ward Cheney
- 地點
- SA242
- 時間
- By appointment
- 聯絡方式
- tslin@math.nctu.edu.tw