週次 |
日期 |
單元主題 |
第1週 |
09/17 |
Exercise session (Condensed Matter Bldg. F3) |
第1週 |
09/15 |
Course outline, Introduction to Matlab, Introduction to Latex |
第2週 |
09/24 |
Exercise session (Condensed Matter Bldg. F3) |
第2週 |
09/22 |
Source of errors |
第3週 |
09/29 |
No class due to typhoon Jangmi |
第3週 |
10/01 |
Linear systems solvers: Gaussian elimination & LU factorization |
第4週 |
10/08 |
Exercise session (Condensed Matter Bldg. F3) |
第4週 |
10/06 |
Linear systems solvers: implementation and stability issues |
第5週 |
10/13 |
Stability of Gaussian elimination (cont.) &
Nonlinear equations solvers: Scalar equations |
第5週 |
10/15 |
Exercise session (Condensed Matter Bldg. F3) |
第6週 |
10/22 |
Exercise session (Condensed Matter Bldg. F3) |
第6週 |
10/20 |
Nonlinear equations solvers: System of equations |
第7週 |
10/27 |
Unconstrained optimization: golden section search, Newton's, and BFGS methods |
第7週 |
10/29 |
Exercise session (Condensed Matter Bldg. F3) |
第8週 |
11/05 |
Exercise session (Condensed Matter Bldg. F3) |
第8週 |
11/03 |
Unconstrained optimization: steepest descent method and line search |
第9週 |
11/10 |
Function approximation: Polynomial interpolation |
第9週 |
11/12 |
Midterm exam (computer programming): 計中312 & 凝態3F 14:20-18:00 |
第10週 |
11/17 |
Barycentric Lagrange interploation |
第10週 |
11/19 |
Runge phenomena and Splines |
第11週 |
11/26 |
Exercise session (Condensed Matter Bldg. F3): Make comments on programming issues for HW 5 |
第11週 |
11/24 |
Piecewise cubic Hermite interpolation polynomial |
第12週 |
12/03 |
Pade approximant & Matlab demo for numerical differentiation formula |
第12週 |
12/01 |
Numerical differentiation after Fornberg's work |
第13週 |
12/08 |
Numerical integration: Newton-Cotes, Clenshaw-Curtis, & Gauss quadrature formulas |
第13週 |
12/10 |
Exercise session (Condensed Matter Bldg. F3): HW 6 review |
第14週 |
12/15 |
Gauss quadrature formula & Richardson extrapolation |
第14週 |
12/17 |
Numerical ODE solvers |
第15週 |
12/24 |
Exercise session (Condensed Matter Bldg. F3): HW 7 review |
第15週 |
12/22 |
Numerical ODE solvers: LMM & zero stability |
第16週 |
12/31 |
Fast Fourier transform |
第16週 |
12/29 |
Absolute stability for LMM and Runge-Kutta method. Embedded method |
第17週 |
01/07 |
BVPs for ODES & final exam. overview |
第17週 |
01/05 |
Fast Fourier transform & its applications |
第18週 |
01/14 |
Final exam (computer programming): 計中312 & 凝態3F 14:20-19:00 |