Spring 2013 Course Syllabus: Math 713
Course Title: |
Advanced Scientific Computing: Multi-Dimensional Finite-Difference Schemes and Spectral Methods |
Textbook: |
There is no required textbook for this course. I will be working from various references and personal notes |
Prerequisites: |
Math 712 and proficiency in a computer programming language, or instructors consent |
Main References for spectral methods are:
1. Spectral Methods in Matlab by L.N. Trefethen published by SIAM
2. Chebyshev and Foureier spectral methods (second edition) by John P. Boyd published by Dover
Course Outline:
Week |
Topics |
Week 1-8 | Spectral Methods and their applications |
Week 9-12 | Introduction to Analysis-Based Fast Numerical Algorithms |
Week 13-14 | Introduction to Boundary Integral Equation Methods |
IMPORTANT DATES |
|
FIRST DAY OF SEMESTER |
January 22, 2013 |
LAST DAY TO WITHDRAW |
March 26, 2013 |
LAST DAY OF CLASSES |
May 8, 2013 |
FINAL EXAM PERIOD |
May 9–15, 2013 |
Grading Policy
Assignment Weighting |
|
Homework |
50 % |
Midterm Project | 20 % |
Final Exam |
30 % |
.
Important Departmental and University Policies
Prepared by Prof. Jiang Shidong, January 9, 2013