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課程名稱 |
計算物理
COMPUTATIONAL PHYSICS |
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開課學期 |
96-1 |
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授課對象 |
理學院 物理學研究所 |
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授課教師 |
趙挺偉 |
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課號 |
Phys7030 |
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課程識別碼 |
222 M2710 |
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班次 |
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學分 |
3 |
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全/半年 |
半年 |
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必/選修 |
選修 |
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上課時間 |
星期二2,3,4(9:10~12:10) |
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上課地點 |
新物517 |
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備註 |
本課程中文授課,使用英文教科書。
總人數上限：25人
外系人數限制：5人 |
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Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/961comphys |
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課程簡介影片 |
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核心能力關聯 |
核心能力與課程規劃關聯圖 |
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課程大綱
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為確保您我的權利,請尊重智慧財產權及不得非法影印
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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. |
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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. |
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課程要求 |
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預期每週課後學習時數 |
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Office Hours |
每週四 14:20~16:20 |
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指定閱讀 |
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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). |
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評量方式
(僅供參考) |
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No. |
項目 |
百分比 |
說明 |
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1. |
Homework Assignment |
80% |
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2. |
Term Project |
20% |
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週次 |
日期 |
單元主題 |
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第1週 |
2007/10/02 |
Overview of computational physics. Fundamental programming techniques in C and FORTRAN. Basic Mathematical Operations |
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第2週 |
2007/10/9 |
Numerical Differentiation,
Numerical Integration,
Introduction to Monte Carlo Simulation |
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第3週 |
2007/10/16 |
Monte Carlo Simulation of Spin Systems |
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第4週 |
2007/10/23 |
Single Cluster Algorithm,
Error Estimate for Monte Carlo Simulations |
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第5週 |
2007/10/30 |
Pseudo-random number generators |
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第6週 |
2007/11/06 |
System of linear equations, LU decomposition, Conjugate gradient |
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第7週 |
2007/11/13 |
Introduction to Quantum Field Theory, Real scalar field theory |
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第8週 |
2007/11/20 |
MC simulation of scalar field, Introduction to Hybrid Monte Carlo |
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第9週 |
2007/11/27 |
Monte Carlo simulation of 1D scalar field theory |
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第10週 |
2007/12/4 |
Introduction to Dirac fermion field |
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第13週 |
2007/12/25 |
Gauge Field on the Lattice |
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第14週 |
2008/1/8 |
Differential Equations |
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第11-12週 |
2007/12/11 & 12/18 |
Dirac fermion field on the lattice |
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