Numerical methods for changing type systems

Sebastian Franz, Sebastian Trostorff, Marcus Waurick

Research output: Contribution to journalArticle

1 Citation (Scopus)

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

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Type Systems
Numerical methods
Numerical Methods
Discontinuous Galerkin
Weighted Spaces
Linear equations
Partial differential equations
Linear equation
Physics
Partial differential equation
Space-time

Keywords

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

Cite this

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title = "Numerical methods for changing type systems",
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.",
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Numerical methods for changing type systems. / Franz, Sebastian; Trostorff, Sebastian; Waurick, Marcus.

In: IMA Journal of Numerical Analysis , 08.03.2018.

Research output: Contribution to journalArticle

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AU - Franz, Sebastian

AU - Trostorff, Sebastian

AU - Waurick, Marcus

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AB - 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.

KW - evolutionary equations

KW - changing type system

KW - discontinuous Galerking

KW - space-time approach

UR - https://arxiv.org/abs/1610.08824

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