Robert White

Department of Mathematics
Box 8205
North Carolina State University
Raleigh, NC 27695-8205
white@math.ncsu.edu

Computational Mathematics: Models, Methods and Analysis

Objectives: The course outlined in the above URL has been taught at NCSU during the last four fall semesters. It now has been made into a permanent course called Math 402 "Computational Mathematics: Models, Methods and Analysis." The students have been majors in mathematics, engineering and the sciences. At NCSU Matlab and the North Carolina Supercomputing Center are the main computing environments. This course satisfies the mathematics department's "modeling" requirement, and the university's "writing" requirement.

These notes adhere to the UCES paradigm.There are three parts to this course: matrix models, computational calculus and boundary value problems. The matrix models does not require a matrix algebra course. However, most of the students have had some matrix algebra, and this allows one to stress the modeling and computer implementations.

The second part returns to basic calculus but with a numerical emphasis and studies order of convergence. The boundary value problems are an introduction to the numerical solution of partial differential equations. The materials in the above URL are more than one semester's work, but often some topics are repeats from other courses. So, this allows for some adjustments to the individual student's background.


Thomas L. Marchioro
Jeffrey R. Christiansen
uces_info@krellinst.org
17 July, 1997