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Interface procedures for finite difference approximations of the advection–diffusion equation
Department of Information Technology, Scientific Computing Division, Uppsala University, Uppsala.
Linköping University, Department of Mathematics, Scientific Computing. Linköping University, The Institute of Technology.ORCID iD: 0000-0002-7972-6183
2011 (English)In: Journal of Computational and Applied Mathematics, ISSN 0377-0427, E-ISSN 1879-1778, Vol. 236, no 5, 602-620 p.Article in journal (Refereed) Published
Abstract [en]

We investigate several existing interface procedures for finite difference methods applied to advection–diffusion problems. The accuracy, stiffness and reflecting properties of the various interface procedures are investigated.

The analysis and numerical experiments show that there are only minor differences between the various methods once a proper parameter choice has been made.

Place, publisher, year, edition, pages
Amsterdam: Elsevier B. V. , 2011. Vol. 236, no 5, 602-620 p.
Keyword [en]
High order finite difference methods; Numerical stability; Accuracy; Interface conditions; Summation-by-parts; Weak boundary conditions
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-70425DOI: 10.1016/j.cam.2011.08.009ISI: 000297717100002OAI: oai:DiVA.org:liu-70425DiVA: diva2:439812
Available from: 2011-09-20 Created: 2011-09-07 Last updated: 2017-12-08Bibliographically approved

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Nordström, 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