Spectral Deferred Corrections for PDEs: A Framework for Multiscale Temporal Integration

Abstract: This talk will discuss recently developed temporal integration schemes based on a deferred correction strategy which are designed to provide higher-order accuracy for ordinary or partial differential equations with multiple disparate time scales. These integration schemes allow one in principle to design methods with arbitrarily high order of accuracy, while treating different terms in the equation independently, either implicitly or explicitly, and with differing time steps. I will present a general overview of these methods, give examples of successful applications, and discuss promising current and future research directions.

Refreshments will be served at 12:15 p.m. in the Faculty Lounge, Math Annex (Room 1115).