Numerical Methods and Applications
數值方法與應用

2015/2/24 – 2015/6/16

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

新竹教育大學應數系

Read

課程大綱 Topics

(Lecture or Reading Order: 1, 2, …, 11.)

I.            Overview
  1.  Ion Channel
      Nervous system (0:50) (Recital), Action Potentials (3:24), Potassium Channel (1:42),
      Cell Membranes (11:03), Gibbs Free Energy (13:00)

II.         Numerical Methods
  2.  1D Poisson’s Problem and Finite Difference Method 
  3.  Jacobi’s Method
  4.  Newton’s Method
  5.  Scharfetter-Gummel (Exponential Fitting) Method

III.       Mathematical Models with Fundamental Physics
  6.  Poisson’s Equation in Electrostatics
  7.  Convection-Diffusion-Reaction Model
  8.  Poisson-Nernst-Planck (PNP) Model
  9.  VMD: 2011-VMD-Tutorial, 2009-VMD-Tutorial-KcsA, 2011-VMD-Steps-GA

 

 

教學目標 Objectives

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

·        Learn basic Numerical Methods for Linear Algebra

·        Learn basic Physics in PDEs

·        Learn Programming in Scientific Computing

授課方式 Teaching Style

·        Regular Lecturing

評分標準 Grading Policy

·        Reports 100%

教科書 Texts

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

·        C++ Language Tutorial