28 research outputs found
Finite element approximations for a linear fourth-order parabolic SPDE in two and three dimensions with additive space-time white noise
Get PDFTheory and numerical approximations for a nonlinear 1+1 Dirac system
Get PDFWe consider a nonlinear Dirac system in one space dimension with periodic boundary conditions. First, we discuss questions on the existence and uniqueness of the solution. Then, we propose an implicit-explicit finite difference method for its approximation, proving optimal order a priori error estimates in various discrete norms and showing results from numerical experiments
