Numerical methods for changing type systems

Sebastian Franz, Sebastian Trostorff, Marcus Waurick

Research output: Contribution to journalArticle

3 Citations (Scopus)
12 Downloads (Pure)

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.
Original languageEnglish
Number of pages30
JournalIMA Journal of Numerical Analysis
Early online date8 Mar 2018
DOIs
Publication statusE-pub ahead of print - 8 Mar 2018

Keywords

  • evolutionary equations
  • changing type system
  • discontinuous Galerking
  • space-time approach

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