MATH 273A: Scientific Computation

Fall quarter, 2005


1:00 pm - 1:50 pm, MWF, AP&M 5829
Instructor: Bo Li
(Office: AP&M 5723; Phone: 534-6932; Email:


In recent years, there have been growing needs and interests in developing mathematical theories and numerical methods for problems arising from materials science, quantum chemistry, biophysics, and many other areas of science. In this research oriented course, we will introduce some of these powerful theories and methods, and demonstrate how they can be applied to the effective modeling, simulation, and analysis of important scientific problems, such as fluid interactions, composites, crystalline defects, phase transitions, surface growth, bio-membranes, electrostatic forces, and electronic structures.

Topical lectures will often begin with a description of the physical phenomenon and experimental results, followed by the derivation of models and analysis of solutions, as well as the presentation of numerical algorithms and simulation results, and conclude with proposals of potential research projects. Students are strongly encouraged to actively participate in class discussions and to give informal presentations on their related researches.

The following is a tentative list of topics that will be partially covered in the course:

1. Multiscale Methods

2. Interface Dynamics

3. Energy Minimization

For more information related to this course, such as detailed syllabus, references, potential research projects, and even possible financial support for a Ph.D. thesis project, please contact the instructor, or visit the course web page at

Last updated by Bo Li on September 14, 2005.