週次 |
日期 |
單元主題 |
第1週 |
02/22 |
Introduction
Interpolation |
第2週 |
03/01 |
University holiday |
第3週 |
03/08 |
Spline
Approximation theory |
第4週 |
03/15 |
Fourier interpolation, Discrete Fourier Transfrom (DFT)
|
第5週 |
03/22 |
Fast Fourier Transform (FFT), Numerical Differentiation and Integration |
第6週 |
03/29 |
Gauss integration, Root Searching |
第7週 |
04/05 |
University holiday |
第8週 |
04/12 |
Solving a Set of Linear Systems: Gauss Elimination, LU decomposition, Cholesky decomposition, QR decomposition |
第9週 |
04/19 |
Solving a Set of Linear Systems: Iterative methods,
Optimization problem, Conjugate Gradient method |
第10週 |
04/26 |
Solving an Ordinary Differential Equation: Boundary value problem and initial value problem |
第11週 |
05/03 |
Solving an Ordinary Differential Equation: AB, AM, Runge-Kutta, Shooting method |
第12週 |
05/10 |
Solving an Ordinary Differential Equation: Stability of time-marching scheme |
第13週 |
05/17 |
Solving an Partial Differential Equation: Finite Difference Method
Introduction to the Final Project |
第14週 |
05/24 |
Solving an Partial Differential Equation: Modified wavenumber |
第15週 |
05/31 |
Solving an Partial Differential Equation: Finite Volume Method (FVM) |
第16週 |
06/07 |
Richardson Extrapolation; Introduction to computational fluid mechanics |
第17週 |
06/14 |
University holiday |
第18週 |
06/21 |
Discussion of the final project
Umeeting link: https://u.cyberlink.com/meeting/521083277 |