½Òµ{¤jºõ Topics
(Lecture or Reading Order: 1, 2, ¡K, 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
±Ð¾Ç¥Ø¼Ð Objectives
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Learn
basic Numerical Methods for Partial Differential Equations (PDEs)
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Learn
basic Numerical Methods for Linear Algebra
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Learn
basic Physics in PDEs
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Learn
Programming in Scientific Computing
±Â½Ò¤è¦¡ Teaching Style
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Regular
Lecturing
µû¤À¼Ð·Ç Grading Policy
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Reports
100%
±Ð¬ì®Ñ Texts
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Jinn-Liang
Liu, Lecture Notes on Numerical Methods for Partial Differential Equations,
2011.