DEPARTMENT OF MATHEMATICAL SCIENCES

APPLIED AND COMPUTATIONAL MATHEMATICS SEMINAR

**Speaker:** Dr. Hans G. Kaper
Mathematics and Computer Science Division
Argonne National Laboratory, Argonne, Ill.
and
Department of Mathematics and Statistics
Georgetown University, Washington, DC

**Title: ***
Reduction Methods for Systems of Differential Equations
*

**Abstract:**
We consider systems of nonlinear ordinary differential equations that involve two time scales: a fast time scale, where the dynamics take the orbits close to an invariant low-dimensional manifold, and a slow time scale, where the dynamics evolve in the neighborhood of the invariant (slow) manifold. Reduction methods offer a systematic way to identify the slow manifold and reduce the original equation to an autonomous equation on the slow manifold. In this talk I will focus on two particular reduction methods: the Intrinsic Low-Dimensional Manifold (ILDM) proposed by Maas and Pope (1992) and the Computational Singular Perturbation (CSP) method proposed by Lam and Goussis (1988).

**Time:** Friday, Mar. 6, 2009, 1:30-2:30 p.m.

**Place:** Science and Tech I, Room 242

Department of Mathematical Sciences

George Mason University

4400 University Drive, MS 3F2

Fairfax, VA 22030-4444

http://math.gmu.edu/

Tel. 703-993-1460, Fax. 703-993-1491