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課程名稱 |
計算物理
Computational Physics |
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開課學期 |
101-1 |
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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 |
星期四2,3,4(9:10~12:10) |
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上課地點 |
新物618 |
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備註 |
總人數上限：15人 |
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Ceiba 課程網頁 |
http://ceiba.ntu.edu.tw/1011_comphys |
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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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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;
Basic Mathematical Operations;
Integration and Differentiation;
System of Linear Equations;
Matrix Operations;
Differential and Integral Equations;
Probability and Statistics;
Monte Carlo Methods;
Ising model;
Lattice QCD;
Partial Differential Equations. |
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課程要求 |
Each student is required to attend the lectures, to work out the problem sets (70%), plus a term project (30%). |
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預期每週課後學習時數 |
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Office Hours |
每週二 16:00~17:00 |
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指定閱讀 |
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參考書目 |
B. Kernigan and D. Ritchie, ``C Programming Language”, Prentice Hall.
R. Landau, M. Paez and C. Bordeianu, ``A Survey of Computational Physics"
Princeton University Press (2008).
A. Hartmann, ``Practical Guide to Computer Simulations",
World Scientific (2009).
J. Sanders and E. Kandrot, ``CUDA by Example",
Addison-Wesley (2011).
H. Gould, J. Tobochnik, W. Christian,
``An introduction to computer simulation methods", 3rd Ed.,
Addison-Wesley (2007)
Press, W.H., et. al., ``Numerical Recipes,
The Art of Scientific Computing", Cambridge (1992). |
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評量方式
(僅供參考) |
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週次 |
日期 |
單元主題 |
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Week 1 |
2012/10/04 |
Introduction, Differentiation, Integration |
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Week 2 |
2012/10/11 |
Monte Carlo Integration, Metropolis Algorithm, Heat bath, Ising Model |
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Week 3 |
2012/10/25 |
Monte Carlo Simulation of Spin Systems, Cluster Algorithm, Integrated Autocorrelation Time, Pseudo-Random Number Generators |
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Week 4 |
2012/11/1 |
Monte Carlo Simulation of Ising Model, Random number generators |
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Week 5 |
2012/11/08 |
Tests of RNG, System of linear equations,
Gaussian elimination, LU decomposition |
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Week 6 |
2012/11/15 |
Review of Monte Carlo Simulations |
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Week 7 |
2012/11/22 |
Conjugate Gradient |
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Week 8 |
2012/11/29 |
Introduction to QFT, Scalar Field |
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Week 9 |
2012/12/6 |
Monte Carlo Simulation of Scalar Field,
Hybrid Monte Carlo |
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Week 10 |
2012/12/13 |
Hybrid Monte Carlo Simulation of 1D Scalar Field |
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Week 11 |
2012/12/20 |
Fermion Field, Lattice Fermion Field |
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Week 12 |
2012/12/27 |
Ordinary Differential Equation, and Partial Differential Equation |
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