Applied Math Seminar
Spring Quarter 2007
Friday October 12, 3:15p.m.Panagiotis Stinis
Dimensional reduction as a tool for tracking singularities of PDEs.
We present a collection of algorithms which utilize dimensional reduction to perform mesh refinement and study possibly singular solutions of time-dependent partial differential equations. The algorithms are inspired by constructions used in statistical mechanics to evaluate the properties of a system near a critical point. We present numerical results for the Burgers equation with zero and nonzero viscosity to illustrate the use of the algorithms.
Seminar website: http://math.stanford.edu/~applmath/