A space-time Trefftz discontinuous Galerkin method for the linear
Schr\"odinger equation
A space-time Trefftz discontinuous Galerkin method for the linear
Schr\"odinger equation
A space-time Trefftz discontinuous Galerkin method for the Schr\"odinger equation with piecewise-constant potential is proposed and analyzed. Following the spirit of Trefftz methods, trial and test spaces are spanned by non-polynomial complex wave functions that satisfy the Schro\"odinger equation locally on each element of the space-time mesh. This allows for …