Project
2. (Due 6/9)
Project 1. (Due 3/31) Do Project
9.1 in Lecture 9.
Submit Projects via email to TA蔡炘澤 at g9824204@mail.nhcue.edu.tw
(Email標題: NameP1 etc. )
Report 2. (Due 6/16)
Report 1. (Due 4/21)
Submit Reports
via email to me.
(Email標題: NameR1 etc. )
課程大綱
Course Topics: (Lecture Order: 1, 2, …, 15.)
I.
Overview
1. Semiconductor Transistors
2. Life’s Transistors
(Nervous system (0:50), Action Potentials (3:24), Potassium Channel (1:42))
II.
Numerical Methods
3. 1D Poisson’s Problem and Finite Difference Method
4. Jacobi Method (Read 2010F數值分析(I))
5. Conjugate Gradient Method
6. 1D Finite Element Method
7. Newton and Monotone Iterative Methods
11.
Scharfetter-Gummel (Exponential Fitting) Method
12.
Object-Oriented Programming of Adaptive Computation
III. Mathematical Models with Fundamental
Physics
8. Poisson’s Equation in Electrostatics
9. Convection-Diffusion-Reaction Model
10. A Quantum
Corrected Drift-Diffusion Model for Ion Channels
(吳信宏Thesis-ppt, Thesis-pdf, Program-zip, QCPNP)
13. Schrödinger’s Equation
14. Bohm’s Quantum Potential
IV.
Report
研究計畫名稱:
Numerical
Simulation of Biological Ion Channel by Quantum Hydrodynamic Model
研究計畫內容:
(一)摘要
(二)研究動機
(三)研究問題與文獻回顧
(四)研究方法與步驟
(五)需要學習與請教之內容
(六)預期結果
(七)參考文獻
Links:
2007X C++
Programming
The Mathematics Genealogy Project
教學目標
·
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
·
Regular
Lecturing
評分標準
·
Project
50% Report 50%
教科書
·
Jinn-Liang
Liu, Lecture Notes on Numerical Methods for Partial Differential Equations,
2010.
·
Juan
Soulie, C++ Language Tutorial, 2007. 2007X C++
Programming
閱讀文獻
·
R. J. LeVeque, Finite Difference
Methods for Differential Equations, 2005. LeVeque-FDM-2005.pdf
(Chapters 1-5)
· E. Suli, Finite Element
Methods for Partial Differential Equations, 2007. Suli-FEM-2007.pdf
·
R.
Barrett, M. Berry, T. F. Chan, J. Demmel, J. Donato, J. Dongarra , V. Eijkhout, R. Pozo, C. Romine, and
H. Van der Vorst, Templates for the Solution of Linear Systems: Building
Blocks for Iterative Methods, 2nd Edition, SIAM, 1994, Philadelphia,
PA.
Templates for the
Solution of Linear Systems
pdf
· J. R. Shewchuk, An Introduction to the Conjugate Gradient Method Without the Agonizing Pain, 1994.