CSE@UTA
Spring 2008
CSE 5315 – Numerical Methods

Thursdays 5:30~8:20pm, NH110

Instructor: Dr. Hua-mei Chen,

Contact information: Cribbs 208, 2-1394, hchen@uta.edu

Please contact the instructor if you are interested in this course

In electromagnetics, Helmholtz’s theorem tells you that, with suitable boundary condition, a vector field is completely determined if both of its divergence and curl are specified everywhere. But, if the divergence and curl do not have an analytic form, do you know how to solve for the vector filed from them numerically? In mechanics, the Navier-Lame equations describe the deformation of an elastic material given its Lame’s moduli under a certain external force. But, do you know how to solve for the deformation given the external force and the Lame’s moduli? In this course, numerical methods to solve these types of problems will be covered.

Specifically, we will cover the following topics:

• Numerical differentiation and integration
• Runge-Kutta methods for solving ordinary differential equations
• Finite difference and finite element methods for solving partial differential equations
• Numerical optimizations.

Students will have the hand-on opportunity to implement the above numerical methods on a practical image processing application.

Textbook: Numerical Methods for Engineers, fifth edition, by Steven C. Chapra and Raymond P. Canale. Publisher: McGraw Hill.

Grading Policy

1. Quizzes: 25%, 2. Labs: 25%, 3. Final project 50%