|
週次 |
日期 |
單元主題 |
|
第1週 |
3/01 |
Introduction
Interpolation |
|
第2週 |
3/08 |
Spline
Approximation theory |
|
第3週 |
3/15 |
Fourier interpolation, Discrete Fourier Transfrom (DFT), and Fast Fourier Transform (FFT)
|
|
第4週 |
3/22 |
Numerical Differentiation and Integration |
|
第5週 |
3/29 |
Root Searching |
|
第6週 |
4/05 |
University Holiday |
|
第7週 |
4/12 |
Solving a Set of Linear Systems: Gauss Elimination, LU decomposition, Cholesky decomposition, Iterative methods |
|
第8週 |
4/19 |
Optimization problem, Conjugate Gradient method |
|
第9週 |
4/26 |
Solving an Ordinary Differential Equation: Boundary value problem and initial value problem |
|
第10週 |
5/03 |
Solving an Ordinary Differential Equation: Runge-Kutta methods |
|
第11週 |
5/10 |
Solving an Ordinary Differential Equation: Stability of time-marching scheme |
|
第12週 |
5/17 |
Solving an Partial Differential Equation: Finite Difference Method |
|
第13週 |
5/24 |
Solving an Partial Differential Equation: Modified wavenumber |
|
第14週 |
5/31 |
Solving an Partial Differential Equation: Finite Volume Method (FVM) |
|
第15週 |
6/07 |
Richardson Extrapolation |
|
第16週 |
6/14 |
Introduction to computational fluid mechanics |
|
第17週 |
6/21 |
Introduction to the immersed boundary method |