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、蒙特卡羅方法在核工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. 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).
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 (1 week)
2. Random Variable & Random Number (1 week)
3. Probability (1 week)
4. Fundamental Formulation (1 week)
5. Random Walk Simulation (3 weeks)
6. Sampling Procedure (1 week)
7. Random Number Generation (1 week)
8. Fundamental of Statistics (1 week)
9. Variance Reduction Techniques (3 weeks)
10. Applications of Monte Carlo Methods (2 weeks)
11. Test & Project Presentations (3 weeks)
六、成績考核(Evaluation)
1. 作業 (30%) Homework
2. 考試 (40%) Test
3. 專題 (30%) Project