ABSTRACT

A multi-rate problem is described by a system of coupled partial differential equations with different time scales associated with different equations in the system. The numerical solutions to such a system is usually calculated using a time step determined by the most restrictive time scale in the system for stability and accuracy considerations. We demonstrate in this talk that this time step could be excessively small and unnecessary in many situations, and discuss a more efficient time integration method that uses different time steps for different equations depending on their time scales. Numerical results for reaction-diffusion equations with linear diffusion terms and nonlinear reaction terms will be presented to demonstrate significant improvement in computational efficiency.

WHERE: TEC 101

WHEN(day): Wednesday, October 22nd, 1997

WHEN(time): 12:00 NOON

EVERYBODY IS INVITED