Fall 2009

NQE311 Numerical Methods and Computer Simulation



Course Outline


Time Tuesday 2:30-4:00PM   Thursday 2:30-4:00PM
Classroom Room #2424 (ME Building)

Instructor Prof. Nam Zin Cho (nzcho@kaist.ac.kr x3819)
Teaching Assistant Donny Hartanto  
TA Office Hours anytime 
Lecture In English

 

 




[ Notice | Keywords | Introduction | Lecture Schedule | Problem Sets | Course Grading | Textbook/References ]

 

Notice
Date
Content
Oct. 13  - Make up class: Oct. 27 (Tue) 20:00~21:30
   - Midterm Exam is take home exam, will be distributed on Oct. 30 (Fri) noon and
    should be submitted on Oct. 31 (Sat) noon, distribution and submission by emails.
Oct. 20 - Regular & Make up class: Oct. 22 (Thu) 14:30~17:30
Nov. 12 - No Class on Nov. 17 and 19
Nov. 24 - Presentation of Project III on Dec. 3 (Thu) 14:30 - 16:00
   Please prepare a 7 minutes presentation.
Dec. 1 - Make up class: Dec. 5 (Tue) 19:00~20:30
 - Special class by Mr. Yun Sunghwan about Monte Carlo Eigenvalue Problem on Dec. 8 (Tue) 14.30 - 16.00
 -
Presentation of final exam on Dec. 23 (Wed) 14.30 - 16.00
Keywords
 
Numerical Analysis, Numerical Methods, Numerical Approximation of Functions, Numerical Calculus, Iterative Methods, Euler Methods, Predictor-Corrector Methods, Runge-Kutta Methods, Ordinary/Partial Differential Equations, Finite Difference Methods, Solution of Matrix Representation, Random Number/Sampling, Monte Carlo Methods
Introduction
This course is designed to provide NQE undergraduate students with basic numerical methods and computational skills (including, writing computer programs implementing basic algorithms). The course covers i) brief introduction to mathematical models dealt in nuclear and quantum engineering, ii) numerical approximation of functions and numerical calculus, iii) matrix theory and linear algebra, iv) numerical methods for ODEs, v) introduction to numerical methods for PDEs, and vi) basics of Monte Carlo simulation. To provide concrete ideas to the students taking the course, the example problems will be taken from various subjects covered in nuclear and quantum engineering.
Lecture Schedule
Week 1 (Sept 1, 3) Introduction
Week 2 (8, 10) Approximation of a Function
Week 3 (15, 17) Numerical Calculus
Week 4 (22, 24) Vector and Matrix Norms
Week 5 (29, 1) Canonical Forms of Matrices
Week 6 (Oct 6, 8) Direct and Iterative Methods
Week 7 (Oct 13, 15) Ordinary Differential Equations, Euler Methods
Week 8 (20, 22) Review, and Midterm Exam
Week 9 (27, 29) Predictor-Corrector Methods
Week 10 (Nov 3, 5) Runge-Kutta Methods
Week 11 (10, 12) Partial Differential Equations and Model Problems
Week 12 (17, 19) Discretizations and Finite Difference Methods
Week 13 (24, 26) Solution of Matrix Representation
Week 14 (Dec 1, 3) Random Number and Random Sampling of Distributions
Week 15 (Dec 8, 10) Numerical Integration and Neutron Transport Simulation
Week 16 (Dec 15, 17) Review, and Final Exam
Problem sets
Due dateProblemsSolutions
9/17 Problem Set #1Solution Set #1
9/24Problem Set #2Solution Set #2
10/8Problem Set #3Solution Set #3
10/15Problem Set #4
Zhang and Jin
Solution Set #4
10/27Problem Set #5Solution Set #5
10/31Midterm ExaminationSolution of Midterm Exam
11/19Problem Set #6Solution Set #6
12/10Problem Set #7
Monte Carlo k-Eigenvalue
Solution Set #7
21/12Final Examination
Course Grading 
Midterm   20 % 
Final 30 %
Projects 25 %
Homework 25 %
-------------
Total 100%

Textbook 

textbook

1. W. Cheney and D. Kincaid, "Numerical Mathematics and Computing", 6th edition, Thomson Brooks/Cole, 2008.
References 
1. G. Stewart, "Afternotes on Numerical Analysis", SIAM, 1996.
2. C. Moler, "Numerical Computing with MATLAB", SIAM, 2004.
3. H. Press, A. Teukolsky, et al., "Numerical Recipies in C++", 2nd edition, Cambridge University Press, 2002.
4. T. Pang, "An Introduction to Computational Physics", 2nd edition, Cambridge University Press, 2006.
5. M. Woolfson and G. Pert, "An Introduction to Computer Simulation", Oxford University Press, 1999.
6. S. Nakamura, "Computational Method in Engineering and Science", John Wiley & Sons, Inc., 1977.
 
If you have any questions, contact TA.
dhartanto@nurapt.kaist.ac.kr