Scientific Computing Seminar Seminar
Abstract: Polynomial Chaos encounters difficulties when applied to time-dependent problems. In some cases the method breaks down eventually or the number of degrees of freedom required becomes prohibitively large. This happens even in the simplest problems. This phenomenon will be explained. In this talk two extremely simple test problems will be addressed: the Decay equation and the harmonic oscillator. In both cases it is possible to capture the mean and the variance within the accurracy of the time integration method with only one degree of freedom. Resume: Marc Gerritsma studied applied mathematics at the University of Gronigen and graduated in finite element methods for viscous incompressible flow at TNO under the supervision of Dr. Roddeman and Ir. Visscherdijk. He did his PhD at the University of Groningen in Non-Newtonian Fluid Mechanics under the supervision of Prof. Veldman. The numerical scheme used for this work is the finite volume/finite difference method. After recieving a PhD he moved to the UK and became postdoctoral research assistant with Prof. Phillips at the University of Wales in Aberystwyth working in spectral element methods for viscoelastic flow problems. In 1998 Dr. Gerritsma moved to the Nethoerlands to work on stochastic differential equation and Brownian motion methods for viscoelastic materials at the Department of Mechanical Engineering at TU Delft. Currently he is Associate Professor at the Department of Aerospace Engineering at TU Delft. His main research interests are: minetic spectral element methods and polynomial uncertailty quantification. Dr. Gerritsma is referee for a large number of scientific journals and teaches several courses in numerical and mathematical fluid modeling. If he is not working, he likes playing tennis or guitar (not to be confused) and enjoys a beer.