Math 226A Fall 2009

Math 266A Computational PDE

Meeting Information

• Room: RH 114
• Day & time: M F 2:00pm to 3:20pm

Project and Homework

• Homework 1: Finite Difference Method Due date: Oct 12.
• Homework 2: Finite Element Method Due date: Oct 21.
• Project 1: Linear Finite Element Method Due date: Nov 6.
• Homework 3: Condition Number of Linear Systems from Finite Element Method Due date: Nov 16.
• Project 2: Multigrid Method Due date: Nov 30.
• Final Project: Newton's Method for Nonlinear Elliptic Equations. Due date: Dec 18.

Syllabus

We shall focus on numerical solutions for the elliptic equations. Parabolic and Hyperbolic equations will be discussed in 226 B and C. More precisely, we plan to cover the following topics:

• Finite Difference and Finite Volume Method
• Sobolev spaces and Approximation theory
• Elliptic differential equations
• Finite element methods
• Fast solvers: Conjugate Gradient method and multigrid method
• Iterative methods on nonlinear elliptic equations

Lecture notes will be distributed in the class.

Grading

Your course grade will be determined by your cumulative average at the end of the term:

• 40% Homework
• 40% Matlab projects
• 20% Final Exam/Project