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The SBP-SAT Technique for Initial Value Problems
Linköping University, Department of Mathematics, Computational Mathematics. Linköping University, The Institute of Technology.
Linköping University, Department of Mathematics, Computational Mathematics. Linköping University, The Institute of Technology.
2013 (English)Report (Other academic)
Abstract [en]

A detailed account of the stability and accuracy properties of the SBP-SATtechnique for numerical time integration is presented. We show how thetechnique can be used to formulate both global and multi-stage methods withhigh order of accuracy for both stiff and non-stiff problems. Linear and non-linear stability results, including A-stability, L-stability and B-stability areproven using the energy method for general initial value problems. Numericalexperiments corroborate the theoretical properties.

Place, publisher, year, edition, pages
Linköping: Linköping University Electronic Press, 2013. , 32 p.
Series
LiTH-MAT-R, ISSN 0348-2960 ; 2013:14
Keyword [en]
time integration, initial value problems, high order accuracy, initial boundary value problems, boundary conditions, global methods, stability, convergence, summation-by-parts operators, stiff problems.
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-102010ISRN: LiTH-MAT-R--2013/14--SEOAI: oai:DiVA.org:liu-102010DiVA: diva2:667389
Available from: 2013-11-26 Created: 2013-11-26 Last updated: 2013-12-03Bibliographically approved

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Lundquist, TomasNordström, 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