Ewha Graduate School
Course Syllabus
2015 Spring Semester
Course Title: Scientific Computing Course ID: G10523
Class Hour: Thur2/3(9:30-) Class Room: SciComplx A-315
Instructor: June-Yub Lee http://math.ewha.ac.kr/~jylee
Office: SciComplx A-324(3277-3451) Office Hour: 수 1:30~2:30
1. Objective
We try to develop computational models for various problems in mathematics, sciences, and engineering. We study numerical methods and programming tools to get the computational results of such problems.
2. References
Walter Gander, Jiri Hrebicek, Solving Problems in Scientific Compututing using Maple and Matlab, 2nd Ed, Springer. (4th/2004)
Ke Chen, Peter Giblin, Alan Irving, Mathematical explorations with Matlab, Cambridge University Press, 1999.
Richard E. Crandall, Projects in scientific computation, Springer-Verlag, The Electronic Library of Science(TELOS), New York, 1994
Stenen Koonin, Computational Physics, The Benjamin/Cummings Pub.
3. Assignment and evaluation
- Homework : Programming in any language (Matlab, Fortran, C/C++)
- Computational Project : A report with program and documentation
- Final Project : Individual (or team) project of your own choice
4. Weekly Schedule
|
Week |
Chapter |
Subject |
Text |
|
|
1-2 |
1. The Tractrix and Similar Curves |
Ordinary differential equation |
1-14 |
|
|
3-5 |
3. The Illumination Problem |
Numerical differentiation and optimization |
25-36 |
|
|
6-7 |
5. The Internal Field in Semiconductors |
2nd order elliptic partial differential equation |
59-68 |
|
|
9-11 |
6. Some Least Squares Problems |
Least square method |
69-87 |
|
|
12-13 |
9. Smoothing Filters |
Denoising signals |
121-140 |
|
|
14-15 |
Final Presentation |
Individual Projects |
|
|