Special Topics on Numerical Analysis (I) (II)
數值分析專題(一) (二)

Spring and Fall 2008


Jinn-Liang Liu

高雄大學應數系

 

Seminar Schedule

Date

Time

Speaker

Topic

10/22 (Wed)

 

陳冠州

林常宇

 

 

 

蔡宗穎

徐偉玲

 

　

　

陳婉伶

陳冠州

　

　

　

　

　

 

Coding Schedule
Code: DGET05B2D.rar
What
Who
When
Why

　

generator.hpp

class_element.hpp

class_index.hpp

　

　

　

林常宇

　

 

 

 

 

 

 

　

complement of others

　

　

蔡宗穎

　

 

 

 

 

 

 

DD_FVM_declarations.hpp

drift_diffusion_FVM.hpp

drift_diffusion_FVM_oxide.hpp

drift_diffusion_FEM.hpp

density_gradient_FVM_oxide.hpp

DG_EB_FVM_oxide_ZnZp.hpp

DG_energy_balance_FVM_oxide.hpp

　

　

陳婉伶

 

 

 

 

 

 

　

class_compressed_sparse_matrix.hpp

class_matrix.hpp

class_sparse_matrix.hpp

class_sparse_matrix_entries.hpp

class_vector.hpp

declarations.hpp

　

　

　

陳冠州

 

 

 

 

 

 

　

DD_FVM_declarations.hpp

drift_diffusion_FVM.hpp

drift_diffusion_FVM_oxide.hpp

drift_diffusion_FEM.hpp

density_gradient_FVM_oxide.hpp

DG_EB_FVM_oxide_ZnZp.hpp

DG_energy_balance_FVM_oxide.hpp

　

 

　

徐偉玲

　

 

 

 

 

 

 

 

 

 

 

 

 

Prerequisite (Study the following in order)

l         2008S C++ Programming

l         2007F數值微分方程

l         1D Example: EE656: Fundamentals of Carrier Transport 

l         1D Algorithm:  陳婉伶 Report.pdf

 

 

1. Overview

 

l      Classical Computer Device.ppt

l      Science2005-Where Do the Dopants Go.pdf

l      台積電45奈米製程 全球前三強.pdf

l       Issues of CMOS Scaling — On and Off the Roadmap Issues of CMOS Kang_WangPeta2Mod.pdf

l      The end of CMOS Scaling.pdf

  

2. Basic Physics

 

l         Mark Miller’s Lectures  Lecture01.pdf  Lecture02.pdf  Lecture03.pdf  Lecture04.pdf  Lecture05.pdf Lecture06.pdf

l         Brief Introduction to Semiconductor Physics.pdf

 

3. Mathematical Models

 

l         Convection-Diffusion-Reaction Model   

l         3D Poisson’s Equation.pdf 

l         Semiconductor Models.pdf

l         A Brief Review on Quantm Hydrodynamic Models.ppt

l         A Quantum-Corrected Energy Transport Model (QCET): 2005jcp-semi.pdf


4. Numerical Methods for PDEs

 

l         Lecture 8. Finite Element Method (FEM) for 1D Poisson’s Problem

l         Adaptive FEM

1.     2003jcam-semi.pdf

2.     2003jcp-semi.pdf

l         Gummel’s Iteration

1.     2005jcp-semi.pdf

l         Singular Perturbation

l         Peclet Number

l         Scharfetter-Gummel (Exponential Fitting) Method

1.      Scharfetter-Gummel Method


5. Numerical Methods for Linear Algebra

 

l         Newton’s Method and Monotone Iterative Methods

1.     2008jcp-semi.pdf

  


6. Implementations  (Computer Programming)

 

l         1D C++ Code:  program1D.zip, result1D.zip

l         2D C++ Code:  program2D.zip, matlab2D.zip

 

7. Projects

 

            All read  1. 2004 Kopteva.pdf  

                             2. 2006 Saito.pdf 

 3. 2003jcam-semi.pdf
 4. 2003jcp-semi.pdf

                             5. 2005jcp-semi.pdf

                             6. 2008jcp-semi.pdf

l         Project 1: QCET with Non-parabolic Band   (Kuang-Zho Chen)

1.     SIAM (2000) Degond.pdf

l         Project 2: Adaptive FEM for QCET   (Chang-Yu Lin)

1.     1998Adaptive.pdf

2.     1996OOP.pdf

3.     SIAM (2004) Holst.pdf

4.     (2005) Kopteva.pdf

5.     (2008) Kopteva.pdf

l         Project 3: Conditioning of QCET   (Tsung-Ying Tsai)

1.     SIAM (1989) Ascher.pdf

l          Project 4: Singular Perturbation Analysis of QCET    (Wan-Ling Chen)

1.     IEEE (1983) Markowich.pdf

l         Project 5: Multiple Solutions of QCET   (We-Ling Xu)

1.     SIAM (2004) Pinnau.pdf

 


8. References

 

l          Finite Element Method: Suli-FEM-2007.pdf

 


9. Team members

l          陳仁純  博士

l          李俊德 博士

l          郭登堯

l          林常宇

l          蔡宗穎

l          陳婉伶

l          陳冠州

l          徐偉玲