Fall 2010

NQE311 Numerical Methods and Computer Simulation

3:0:3(6)

Course Outline


Time Tuesday 2:30-4:00PM   Thursday 2:30-4:00PM
Classroom Room #1402 (ME Building)

Instructor Prof. Nam Zin Cho (nzcho@kaist.ac.kr x3819)
Teaching Assistant Bumhee Cho (bumhee34@kaist.ac.kr x3859)  
TA Office Hours anytime 
Lecture In English
Links to Fall 2009

 

 




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

 

Notice
Date
Content
Sep. 16  - Makeup class: Sep. 16 (Thur) 19:30~21:00
Oct. 2  - Makeup class: Oct. 2 (Sat) 13:30~15:00
Oct. 7  - Makeup class: Oct. 7 (Thur) 19:30~21:00
Oct. 12  - No class : Oct. 12 (Tue)
Oct. 21  - No class : Oct. 21 (Thur)
Oct. 23  - Midterm Exam : Oct. 23 (Sat) 12:00 ~ Oct. 24 (Sun) 24:00 (36 hours)
Oct. 26  - No class (Midterm week) : Oct. 26 (Tue)
Oct. 30  - Makeup class : Oct. 30 (Sat) 10:30 ~ 12:00
Nov. 9  - No class : Nov. 9 (Tue)
Nov. 11  - No class : Nov. 11 (Thur)
Nov. 25  - Presentation (homework 8) : Nov. 25 (Thur)
Nov. 25  - Dinner together : Nov. 25 (Thur) 6:30 at 계경목장
Dec. 14  - Review with TA : Dec. 14 (Tue)
Dec. 18  - Final Exam : Dec. 18 (Sat) 12:00 ~ Dec. 20 (Mon) 12:00 (48 hours)
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 2, 7) Introduction
Week 2 (9, 14) Approximations of Functions
Week 3 (16, 21) Approximations of Functions
Week 4 (23, 28) Numerical Calculus - Differentiation Integration, Root-Finding
Week 5 (30, Oct 5) Numerical Calculus - Differentiation Integration, Root-Finding
Week 6 (7, 12) Systems of Linear Equations - Direct and Iterative Methods
Week 7 (14, 19) Ordinary Differential Equations, Euler Methods
Week 8 (21, 26) Review, and Midterm Exam
Week 9 (28, Nov 2) Predictor-Corrector Methods
Week 10 (4, 9) Runge-Kutta Methods
Week 11 (11, 16) Partial Differential Equations and Model Problems
Week 12 (18, 23) Discretizations and Finite Difference Methods
Week 13 (25, 30) Solution of Matrix Representation
Week 14 (Dec 2, 7) Random Number and Random Sampling of Distributions
Week 15 (9, 14) Numerical Integration and Neutron Transport Simulation
Week 16 (16, 21) Review, and Final Exam
Problem sets
Due date Problems Solutions
9/14 Problem Set #1 Solution Set #1
9/28 Problem Set #2 Solution Set #2
10/7 Problem Set #3 Solution Set #3
10/14 Problem Set #4 Solution Set #4
10/26 Problem Set #5 Solution Set #5
10/24 Midterm Exam Midterm Solution
11/11 Problem Set #6 Solution Set #6
11/18 Problem Set #7 Solution Set #7
11/25 (Presentation) Problem Set #8 N/A
12/7 Problem Set #9 Solution Set #9
12/14 Problem Set #10 Solution Set #10
12/18 Final Exam Final Solution
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.
 
Pictures


before smile

say cheese

If you have any questions, contact TA.
bumhee34@kaist.ac.kr