Sascha Trostorff

Sebastian Franz, Sascha Trostorff, Marcus Waurick

In this note we develop a numerical method for partial differential equations with changing type. Our method is based on a unified solution theory found by Rainer Picard for several linear equations from mathematical physics. Parallel to the solution theory already developed, we frame our numerical method in a discontinuous Galerkin approach in space-time with certain exponentially weighted spaces.

Sascha Trostorff, Marcus Waurick

In this short note, we collect some facts on the weighted Gauß--Radau quadrature. In particular, we focus on the location of the Gauß--Radau points being a continuous function of the $L^1$-weighting function.