Title: Estimates on eigenfunctions at the boundary, and the ``Method of Particular Solutions'' for computing them
Speaker: Andrew Hassell (ANU)
Abstract: In this talk I will talk about estimating the size, at the boundary, of eigenfunctions of the Laplacian on a bounded domain in R^n. I will present estimates that are motivated by the analysis of the accuracy of a numerical method, the ``Method of Particular Solutions'', and show how the right sort of estimates can be used to determine precisely the accuracy of this method, in the limit as the eigenvalue tends to infinity.