Numerical Differential Equations
數值微分方程
Fall 2013

http://www.math.nuk.edu.tw/jinnliu/teaching/cs97/J01.gif
Jinn-Liang Liu

新竹教育大學應數系

課程大綱Topics

1.  1D Poisson’s Problem and Finite Difference Method
2.  Gaussian Elimination
3.  Jacobi Method (Project 3.2: P4Ab.cpp)
4.  Gauss-Seidel Method
5.  Successive Overrelaxation Method
6.  Newton and Monotone Iterative Methods (Project 9.1)
7.  Poisson’s Equation in Electrostatics
8.  Convection-Diffusion-Reaction Model

教學目標Objectives

·        Learn basic Numerical Methods for Partial Differential Equations (PDEs)

·        Learn basic Numerical Methods for Linear Algebra

·        Learn basic Physics behind PDEs

·        Learn Programming in Scientific Computing

授課方式Teaching Style

·        Regular Lecturing

評分標準Grading Policy

·        Quizzes 60% Project 40%

教科書Texts

·        Jinn-Liang Liu, Lecture Notes on Numerical Methods for Partial Differential Equations, 2011.

·        Juan Soulie, C++ Language Tutorial, 2007. 2007X C++ Programming