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On pseudo-spectral time discretizations in summation-by-parts form
Linköping University, Department of Mathematics, Computational Mathematics. Linköping University, Faculty of Science & Engineering.
Linköping University, Department of Mathematics, Computational Mathematics. Linköping University, Faculty of Science & Engineering.ORCID iD: 0000-0002-7972-6183
2018 (English)In: Journal of Computational Physics, ISSN 0021-9991, E-ISSN 1090-2716, Vol. 360, p. 192-201Article in journal (Refereed) Published
Abstract [en]

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.

Place, publisher, year, edition, pages
Springer Publishing Company, 2018. Vol. 360, p. 192-201
Keyword [en]
Time integration; Initial boundary value problem; Summation-by-parts operators; Pseudo-spectral methods; Eigenvalue problem
National Category
Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-145083DOI: 10.1016/j.jcp.2018.01.043Scopus ID: 2-s2.0-85041575964OAI: oai:DiVA.org:liu-145083DiVA, id: diva2:1181751
Available from: 2018-02-09 Created: 2018-02-09 Last updated: 2018-02-20Bibliographically approved

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The full text will be freely available from 2020-01-31 14:56
Available from 2020-01-31 14:56

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Ruggiu, Andrea Alessandro

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