Numerical methods for changing type systems
Numerical Analysis
2021-01-06 v2
Abstract
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.
Cite
@article{arxiv.1610.08824,
title = {Numerical methods for changing type systems},
author = {Sebastian Franz and Sascha Trostorff and Marcus Waurick},
journal= {arXiv preprint arXiv:1610.08824},
year = {2021}
}
Comments
Extended version with more details and an additional example, including appendix "On the weighted Gau{\ss}--Radau Quadrature" (see arXiv:1610.09016)