Numerical methods for changing type systems

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)

[thumbnail of Franz-etal-IMA-JNA-2018-Numerical-methods-for-changing-type-systems]
Preview
 Text. Filename: Franz_etal_IMA_JNA_2018_Numerical_methods_for_changing_type_systems.pdf
Final Published Version
License: Creative Commons Attribution 4.0 logo
Download (1MB)| Preview

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;
CORE (COnnecting REpositories)