Numerical methods for changing type systems

Sebastian Franz; Sebastian Trostorff; Marcus Waurick

doi:10.1093/imanum/dry007

Numerical methods for changing type systems

Sebastian Franz, Sebastian Trostorff, Marcus Waurick

Mathematics And Statistics

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6 Citations (Scopus)

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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.

Original language	English
Number of pages	30
Journal	IMA Journal of Numerical Analysis
Early online date	8 Mar 2018
DOIs	https://doi.org/10.1093/imanum/dry007
Publication status	E-pub ahead of print - 8 Mar 2018

Keywords

evolutionary equations
changing type system
discontinuous Galerking
space-time approach

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10.1093/imanum/dry007Licence: CC BY 4.0

Franz-etal-IMA-JNA-2018-Numerical-methods-for-changing-type-systemsFinal published version, 1.08 MBLicence: CC BY 4.0

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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author = "Sebastian Franz and Sebastian Trostorff and Marcus Waurick",

year = "2018",

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doi = "10.1093/imanum/dry007",

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T1 - Numerical methods for changing type systems

AU - Franz, Sebastian

AU - Trostorff, Sebastian

AU - Waurick, Marcus

PY - 2018/3/8

Y1 - 2018/3/8

N2 - 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.

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

UR - https://academic.oup.com/imajna

U2 - 10.1093/imanum/dry007

DO - 10.1093/imanum/dry007

M3 - Article

JO - IMA Journal of Numerical Analysis

JF - IMA Journal of Numerical Analysis

SN - 0272-4979

ER -

Numerical methods for changing type systems

Abstract

Keywords

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