Wed, 21 May 2008
13:30 -
14:30
Gibson 1st Floor SR
Numerical analysis of a Fourier spectral method for a pattern forming gradient flow equation
Nicolas Condette
(Humboldt-Univ, Berlin)
Abstract
We propose and analyze a fully discrete Fourier collocation scheme to
solve numerically a nonlinear equation in 2D space derived from a
pattern forming gradient flow. We prove existence and uniqueness of the
numerical solution and show that it converges to a solution of the
initial continuous problem. We also derive some error estimates and
perform numerical experiments to illustrate the theory.