Professor: Jianliang Qian

Office: A306 Wells Hall
Phone: (517)353-6334
Email: qian@math.msu.edu

Lectures: TTH 10:20-11:40
Location: C216 WH
Office Hours: TTH4pm-5pm and by appointment
Course Website: http://www.math.msu.edu/~qian/951.12s/index951.html

Description and Contents
This course will cover direct methods for solving PDEs, including finite-difference (FD) and finite-element (FE) methods in general. The model equations consist of Poisson, heat, and wave equations. Various analysis tools will be covered. However, the main focus of the course this semester will be on FDM and FEM for wave equations. Specifically, we will roughly cover the following:

• Background related to functional analysis
• FDM for hyperbolic equations
• FEM for elliptic equations
• FEM for hyberbolic equations
• Some state-of-the-art FEMs if time allows

Required Textbook

• G. Cohen, Higher-order numerical methods for transient wave equations, Springer, 2002.

Recommended Textbook

• P. G. Ciarlet, The finite element methods for elliptic equations, SIAM, 2002.
• D. Braess, Finite elements, Cambridge, 2001.
• P. Monk, Finite Element Methods for Maxwell's Equations, Clarendon Press, Oxford, 2003.

Homework and Projects

• This will be a computationally intensive course, including programming and written assignments.
• The computational problems will utilize MATLAB, but other languages (Fortran, C, C++, etc) are acceptable as well.
• Homework due in class. No late homework accepted.

Exams

• Final Exam/Final Project: TBA.

Grading based on

• Class participation (10%), assignments (60%), Final Exam/Project (30%).
  
• 4.0: 90% - 100%; 3.5: 80% - 89%; 3.0: 70% - 79%; 2.5: 60% - 69%; 2.0: less than 60%.

Assignment

Homework Assignment 1: PDF file. TBA