Numerical methods for changing type systems

Waurick, Marcus and Trostorff, S and Franz, Sebastian (2016) Numerical methods for changing type systems. Working paper. arXiv.org, Ithica, NY.

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    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.