一、課程說明(Course Description)
蒙特卡羅方法介紹、隨機數、類比模擬、變異數降低技巧、蒙特卡羅方法在反應器物理及輻射與物質作用上的應用,內容大綱簡列如下:
1. Introduction to Monte Carlo Method
2. Random Variables
3. Analog Simulation
4. Variance Reduction Techniques
5. Applications
二、指定用書(Text Books)
1. Statistical Methods in Radiation Physics, J.E. Turner, D.J. Downing, J.S. Bogard (2012).
2. A Monte Carlo Primer: A Practical Approach to Radiation Transport, Stephen A. Dupree and Stanley K. Fraley (2002).
三、參考書籍(References)
1. A Primer for the Monte Carlo Method, I.M. Sobol, CRC Press (1994).
2. Fundamentals of Monte Carlo Particle Transport, F.B. Brown, LA-UR-05-4983 (2005).
3. Monte Carlo – Advances and Challenges, F.B. Brown, W.R. Martin, R.D. Mosteller, LA-UR-08-05891 (2008).
4. Fundamentals of Monte Carlo Method for Neutral and Charged Particle Transport, A.F. Bielajew, University of Michigan (2000).
5. An MCNP Primer, J.K. Shultis, R.E. Faw, Kansas State University (2008)
6. Monte Carlo Techniques in Medical Radiation Physics, P. Andreo, Physics in Medicine and Biology, Vol.36 p.861 (1991)
四、教學方式(Teaching Method)
1. 授課(Lectures)
2. 討論(Discussion),
3. 專題報告(Project Report)
五、教學進度(Syllabus)
1. Introduction to Monte Carlo Method
2. Random Number Generation
3. Application in Particle Transport (Analog Monte Carlo)
4. Mathematical Basis for Monte Carlo Particle Transport
5. Particle Tracking and Flux Estimation
6. Random Variables
7. Random Sampling Methods
8. Fundamental of Statistics
9. Variance Reduction Techniques
10. Applications and Special Topics
六、成績考核(Evaluation)
1. 作業 (30%) Homework
2. 考試 (40%) Test
3. 專題 (30%) Project