liu.seSearch for publications in DiVA
Change search
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • 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
Accurate solution-adaptive finite difference schemes for coarse and fine grids
Lund University, Lund, Sweden; Technion, Israel Institute of Technology, Haifa, Israel.
NASA Langley Research Center, Hampton, United States.
Linköping University, Department of Mathematics, Computational Mathematics. Linköping University, Faculty of Science & Engineering.ORCID iD: 0000-0002-7972-6183
2020 (English)In: Journal of Computational Physics, ISSN 0021-9991, E-ISSN 1090-2716, Vol. 410, article id 109393Article in journal (Refereed) Published
Abstract [en]

We introduce solution dependent finite difference stencils whose coefficients adapt to the current numerical solution by minimizing the truncation error in the least squares sense. The resulting scheme has the resolution capacity of dispersion relation preserving difference stencils in under-resolved domains, together with the high order convergence rate of conventional central difference methods in well resolved regions. Numerical experiments reveal that the new stencils outperform their conventional counterparts on all grid resolutions from very coarse to very fine.

Place, publisher, year, edition, pages
Elsevier, 2020. Vol. 410, article id 109393
Keywords [en]
Adaptivity, Finite differences, Least squares, Dispersion relation preserving, Accuracy, Convergence
National Category
Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-164559DOI: 10.1016/j.jcp.2020.109393OAI: oai:DiVA.org:liu-164559DiVA, id: diva2:1416566
Available from: 2020-03-24 Created: 2020-03-24 Last updated: 2020-03-24

Open Access in DiVA

The full text will be freely available from 2022-03-10 13:53
Available from 2022-03-10 13:53

Other links

Publisher's full text

Authority records BETA

Nordström, Jan

Search in DiVA

By author/editor
Nordström, Jan
By organisation
Computational MathematicsFaculty of Science & Engineering
In the same journal
Journal of Computational Physics
Mathematics

Search outside of DiVA

GoogleGoogle Scholar

doi
urn-nbn

Altmetric score

doi
urn-nbn
Total: 15 hits
CiteExportLink to record
Permanent link

Direct link
Cite
Citation style
  • apa
  • 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