Abstract: In this talk I will discuss several methods to reduce the dimensionality of large systems of ordinary differential equations. These methods were developed for problems of chemical kinetics, where often hundreds of species participate in hundreds of reactions, but where the long-term dynamics are played out on or near a slow manifold. I will focus on the asymptotic accuracy of these methods as the separation of time scales increases.
This seminar is easily accessible to persons with disabilities. For more information or for assistance, please contact the Mathematics Department at 743-3500.