MTH/CS 717 Winter 2003

Teacher: Thomas P. Svobodny

241 MM 775-2379

thomas.svobodny@wright.edu

Office Hours: 1630-17:30 T Th

You don't need an appointment to see me during office hours; but it is safer to make an appointment if you want to see me at other times.

Math Dept Office: 120MM 775 2785

Main Text: Numerical Methods for Differential Equations by M. A. Celia and W. G. Gray

Auxiliary Texts: Numerical Mathematics by Quarteroni, Sacco, and Salieri; Computational Gasdynamics by Franey; Numerical Solution of Partial Differential Equations by Morton and Mayers.

Further material, including suggested reading, will be available on the Web.

Evaluation: Midterm Exam 25%

Final Project 35%

Homework 40%

Web Page: http://www.math.wright.edu/ms/appliedmath/numericanal2.html

Course Content: An introduction to the mathematical analysis of computational techniques for treating scientific problems. The computer has enabled the fast (approximate) solution to many important problems; buth there are problems in science and technology for which suitable approximate solutions await either more massive computing power or better analysis and algorithms. Our main concern in this course is the approximate solution to initial value problems and boundary value problems for differential equations; that is, representing solutions by finite (in number and complexity) computer generated functions. This involves using techniques to approximate continuous functions with finite dimensional vectors. The original problem is reduced to solving equations in finite-dimensional spaces. Our procedure will be to introduce only the amount of complexity in the equations that is necessary to illuminate the features of current study. Thus, we start with the simplest methods to solve ordinatry differential equations.