Jinn-Liang Liu’s Lecture Notes

劉晉良
Jinn-Liang Liu
清華大學 計算與建模科學研究所(計科所)
Institute of Computational and Modeling Science (ICMS)
National Tsing Hua University, Hsinchu, Taiwan
2007-2018

Part I Numerical Methods for Linear Algebra and PDEs

Lecture 1. 1D Poisson's Equation and Finite Difference Method

Lecture 2. Gaussian Elimination

Lecture 3. Jacobi’s Method

Lecture 4. Gauss-Seidel Method

Lecture 5. Successive Overrelaxation Method

Lecture 6. Symmetric Successive Overrelaxation Method

Lecture 7. Conjugate Gradient Method

Lecture 8. Finite Element Method

Lecture 9. Newton’s Method

Scharfetter-Gummel Method

Gradient Descent Method for Machine Learning

Part II Mathematical Models

3D Poisson's Equation

Convection-Diffusion-Reaction Model

Poisson-Nernst-Planck Model

Schrödinger’s Equation

Boltzmann’s Equation and Classical Hydrodynamic Models

Part III Talks

Biological Ion Channels (2016)

Biological Ion Channels (2013)

Life’s Transistors (2010)

Semiconductor Transistors (2010)