Numerical methods for changing type systems

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Franz, Sebastian and Trostorff, Sebastian and Waurick, Marcus (2018) Numerical methods for changing type systems. IMA Journal of Numerical Analysis. ISSN 0272-4979 (https://doi.org/10.1093/imanum/dry007)

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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.

ORCID iDs

Franz, Sebastian, Trostorff, Sebastian and Waurick, Marcus ORCID logoORCID: https://orcid.org/0000-0003-4498-3574;
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