MA 402

(http://www2.ncsu.edu/eos/info/math/ma402_info/402.00/toc.htm)

Computational Mathematics:

Models, Methods and Analysis

Time and Place: 11:20-12:35, TT, HA 379, Fall Semester of 2003

Instructor: R. E. White, Professor of Mathematics, NCSU, HA308, 515-7478, white@math.ncsu.edu

Prerequisites: Some programming language, and MA 341 as a corequisite

This course will give the student an overall view of the computational modeling process. Numerical models will be carefully considered, and implementations will use MATLAB as well as some high performance computations

1. Time dependent matrix models: heat transfer, pollutant transfer and convergence analysis.

2. Steady state matrix models: long run cooling and pollution, direct and iterative algorithms and convergence analysis.

3. Boundary value problems: heat diffusion, fluid flow, membrane deformation, SOR and conjugate gradient algorithms.

4. Nonlinear and 3d models: nonlinear effects, three space variables, domain decomposition and multiprocessing computing.

5. Epidemics, Images and Money: epidemics with dispersion, image restoration, and models of option contracts.

6. Introduction to high performance computing.

This course will satisfy the university's "writing" requirement. And, when coupled with MA 401, MA 401,2 will satisfy the math department's "year course" requirement, in this case on partial differential equations. There will be two written modeling projects for 50% of the grade. The other 50% of the grade will come from weekly assignments.