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