課程資訊
課程名稱
 計算物理
Computational Physics 
開課學期
 107-1 
授課對象
 理學院  物理學研究所  
授課教師
 趙挺偉 
課號
 Phys7030 
課程識別碼
 222EM2710 
班次
  
學分
 3.0 
全/半年
 半年 
必/選修
 選修 
上課時間
 星期二2,3,4(9:10~12:10) 
上課地點
 新物716 
備註
 本課程以英語授課。
總人數上限：50人
外系人數限制：5人 
Ceiba 課程網頁
 http://ceiba.ntu.edu.tw/1071Phys7030_ 
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課程概述

Computer simulations have become an integral part of contemporary basic and applied physics, and have been serving as a bridge between
theoretical and experimental physics. This course introduces computational
methods for solving problems in physical sciences whose complexity or
difficulty places them beyond analytic solution or human endurance. 

課程目標
 Fundamental programming techniques in C and FORTRAN;
Basic Mathematical Operations;
Integration and Differentiation;
System of Linear Equations;
Matrix Operations;
Differential and Integral Equations;
Probability and Statistics;
Monte Carlo Methods: from Ising model to Lattice QCD;
Partial Differential Equations. 
課程要求
  
預期每週課後學習時數
  
Office Hours
 每週四 16:00~17:00 備註： or by appointment 
指定閱讀
  
參考書目
 J. Thijssen, ``Computational Physics", 2nd Ed.,
Cambridge (2007).

H. Gould, J. Tobochnik, W. Christian,
``An introduction to computer simulation methods", 3rd Ed.,
Addison-Wesley (2007)

R. Landau and M. Paez Mejia ``Computational Physics:
Problem Solving with Computers", John Wiley (1997).

P. DeVries, ``A First Course in Computational Physics",
John Wiley (1994).

Press, W.H., et. al., ``Numerical Recipes,
The Art of Scientific Computing", Cambridge (1992).

T. Degrand, C. DeTar,
``Lattice Methods for Quantum Chromodynamics", World
Scientific (2006).

H. Rothe, ``Lattice Gauge Theories, An Introduction",
3rd Ed., World Scientific (2005)

I. Montvay, G. Munster, ``Quantum Fields on a Lattice",
Cambridge (1994). 
評量方式
(僅供參考)
  
No.
項目
百分比
說明
1. 
 Term Project  
20% 
  
2. 
 Homework Assignment 
80% 
  
 
課程進度
週次
日期
單元主題
Week 1
 2018/09/11  Introduction.
Basic Mathematical Operations. Differentiation. 
Week 2
 2018/09/25  Numerical Integration,
Introduction to Monte Carlo Simulation 
Week 3
 2018/10/02  von Neumann's rejection algorithm,
Metropolis algorithm,
Heat bath algorithm  
Week 4
 2018/10/09  Error estimation in the Monte Carlo simulation,
Integrated auto-correlation time,
The binning method
 
Week 5
 2018/10/16  Monte Carlo simulation of the Ising Model,
Metropolis algorithm 
Week 6
 2018/10/23  Ising Model,
Heat bath algorithm,
Single cluster algorithm,
Exact solution of 1-Dim Ising model 
Week 7
 2018/10/30  Pseudo-Random Number Generators 
Week 8
 2018/11/06  LU decomposition,
Conjugate gradient algorithm
Conjugate gradient with mixed precision
 
Week 9
 2018/11/13  Solving Poisson Equation on 2-dimensional torus with CG 
Week 10
 2018/11/20  Ordinary differential equation,
Real-time animation with OpenGL 
Week 11
 2018/11/27  Partial Differential Equation,
Introduction to Quantum Field Theory,
Path Integral Formulation of Quantum Mechanics  
Week 12
 2018/12/04  Path integral formulation of QFT,
Scalar field on the lattice 
Week 13
 2018/12/11  Real Scalar Field Theory in 1-Dimension,
Hybrid Monte-Carlo Simulation of Scalar Field Theory
 
Week 14
 2018/12/18  Fermion Field,
Dirac Field Equation,
Fermion Propagator 
Week 15
 2018/12/25  Lattice fermion doubling problem;
Monte-Carlo simulation of fermion field theory on the lattice;
Introduction to lattice QCD.