Speaker: Dave Williams, Applied Mathematics
Title:
Date: Thursday, October 23, 2003
Time: 3:30 - 4:20pm
Place: Guggenheim Room 408d
Abstract. Regular perturbation methods fail to approximate the solutions of many weakly-nonlinear problems over long timescales. One approach to this difficulty is to introduce multiple time scales and use the added degrees of freedom to eliminate so-called secular terms. This approach works well for a wide variety of problems but can be improved in some cases, particularly when the "appropriate" time scales are not immediately evident. The Amplitude Equation Method uses near-identity transformations to eliminate secular terms and can be modified to give approximations on even longer timescales.
Everyone welcome!