Advection-diffusion equations: Temporal sinc methods

A fully Sinc-Galerkin method for solving advection-diffusion equations subject to arbitraryradiation boundary conditions is presented. This procedure gives rise to a discretizationwhich has it's most natural representation in the form of a Sylvester system where thecoefficient matrix for the temporal discretization is full. The word "full" often implies acomputationally more complex method compared to, for example, temporal marching. Ina comparison of time-marching versus this...