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