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Convergence and stability properties of summation-by-parts in time
Facultyof, Mechanica, Engineering,Technion, Israel Institute of Technology, Haifa, Israel.
Linköping University, Department of Mathematics, Computational Mathematics. Linköping University, Faculty of Science & Engineering.ORCID iD: 0000-0002-7972-6183
Facultyof, Mechanica, Engineering,Technion, Israel Institute of Technology, Haifa, Israel.
2019 (English)Report (Other academic)
Abstract [en]

We extend the list of stability properties satisfied by Summation-By-Parts (SBP) in time to include strong S-stability, dissipative stability and stiff accuracy. Further, it is shown that SBP in time is B-convergent for strictly contractive non-linear problems and weakly convergent for non-linear problems that are both contractive and dissipative

Place, publisher, year, edition, pages
Linköping: Linköping University Electronic Press, 2019. , p. 16
Series
LiTH-MAT-R, ISSN 0348-2960 ; 2019:4
Keywords [en]
SBP intime; Runge-Kuttamethods; S-stability; Stiffaccuracy; Dissipativestabilty; B-convergence
National Category
Computational Mathematics Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-156229OAI: oai:DiVA.org:liu-156229DiVA, id: diva2:1303102
Available from: 2019-04-08 Created: 2019-04-08 Last updated: 2019-04-08Bibliographically approved

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Convergence and stability properties of summation-by-parts in time(490 kB)38 downloads
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Linders, ViktorNordström, Jan

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CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • oxford
  • Other style
More styles
Language
  • de-DE
  • en-GB
  • en-US
  • fi-FI
  • nn-NO
  • nn-NB
  • sv-SE
  • Other locale
More languages
Output format
  • html
  • text
  • asciidoc
  • rtf