Mon, 23 Jan 2006
14:15
DH 3rd floor SR

Limit theorems for subsequences of random variables

Professor Sergey Bobkov
(University of Minnesota)
Abstract
We will be discussing limit behaviour of sums along subsequences of a given sequence of non-correlated random variables. Some results are applied to the classical trigonometric system in the Berkes model. /notices/events/abstracts/stochastic-analysis/ht06/bobkov.shtml    
Thu, 19 Jan 2006

14:00 - 15:00
Comlab

High frequency scattering by convex polygons

Dr Stephen Langdon
(University of Reading)
Abstract

Standard finite element or boundary element methods for high frequency scattering problems, with piecewise polynomial approximation spaces, suffer from the limitation that the number of degrees of freedom required to achieve a prescribed level of accuracy grows at least linearly with respect to the frequency. Here we present a new boundary element method for which, by including in the approximation space the products of plane wave basis functions with piecewise polynomials supported on a graded mesh, we can demonstrate a computational cost that grows only logarithmically with respect to the frequency.