On pseudo-spectral time discretizations in summation-by-parts form

Andrea A. Ruggiu; Jan Nordström

doi:10.1016/j.jcp.2018.01.043

On pseudo-spectral time discretizations in summation-by-parts form

Andrea A. Ruggiu, Jan Nordström

Linköping University

Research output: Contribution to journal › Article › peer-review

10 Citations (Scopus)

Abstract

Fully-implicit discrete formulations in summation-by-parts form for initial-boundary value problems must be invertible in order to provide well functioning procedures. We prove that, under mild assumptions, pseudo-spectral collocation methods for the time derivative lead to invertible discrete systems when energy-stable spatial discretizations are used.

Original language	English
Pages (from-to)	192-201
Number of pages	10
Journal	Journal of Computational Physics
Volume	360
DOIs	https://doi.org/10.1016/j.jcp.2018.01.043
Publication status	Published - 1 May 2018
Externally published	Yes

Keywords

Eigenvalue problem
Initial boundary value problem
Pseudo-spectral methods
Summation-by-parts operators
Time integration

ASJC Scopus subject areas

Numerical Analysis
Modeling and Simulation
Physics and Astronomy (miscellaneous)
General Physics and Astronomy
Computer Science Applications
Computational Mathematics
Applied Mathematics

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10.1016/j.jcp.2018.01.043

Cite this

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title = "On pseudo-spectral time discretizations in summation-by-parts form",

abstract = "Fully-implicit discrete formulations in summation-by-parts form for initial-boundary value problems must be invertible in order to provide well functioning procedures. We prove that, under mild assumptions, pseudo-spectral collocation methods for the time derivative lead to invertible discrete systems when energy-stable spatial discretizations are used.",

keywords = "Eigenvalue problem, Initial boundary value problem, Pseudo-spectral methods, Summation-by-parts operators, Time integration",

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AU - Nordström, Jan

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N2 - Fully-implicit discrete formulations in summation-by-parts form for initial-boundary value problems must be invertible in order to provide well functioning procedures. We prove that, under mild assumptions, pseudo-spectral collocation methods for the time derivative lead to invertible discrete systems when energy-stable spatial discretizations are used.

AB - Fully-implicit discrete formulations in summation-by-parts form for initial-boundary value problems must be invertible in order to provide well functioning procedures. We prove that, under mild assumptions, pseudo-spectral collocation methods for the time derivative lead to invertible discrete systems when energy-stable spatial discretizations are used.

KW - Eigenvalue problem

KW - Initial boundary value problem

KW - Pseudo-spectral methods

KW - Summation-by-parts operators

KW - Time integration

UR - https://www.scopus.com/pages/publications/85041575964

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DO - 10.1016/j.jcp.2018.01.043

M3 - Article

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EP - 201

JO - Journal of Computational Physics

JF - Journal of Computational Physics

ER -

On pseudo-spectral time discretizations in summation-by-parts form

Abstract

Keywords

ASJC Scopus subject areas

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