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Galerkin projection and numerical integration for a stochastic investigation of the viscous Burgers equation: An initial attempt
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
2019 (English)In: Numerical Mathematics and Advanced Applications ENUMATH 2017. ENUMATH 2017 / [ed] Florin Adrian Radu, Kundan Kumar, Inga Berre, Jan Martin Nordbotten, Iuliu Sorin Pop, Cham: Springer, 2019, Vol. 126, p. 1005-1013Chapter in book (Refereed)
Abstract [en]

We consider a stochastic analysis of the non-linear viscous Burgers’ equation and focus on the comparison between intrusive and non-intrusive uncertainty quantification methods. The intrusive approach uses a combination of polynomial chaos and stochastic Galerkin projection. The non-intrusive method uses numerical integration by combining quadrature rules and the probability density functions of the prescribed uncertainties. The two methods are applied to a provably stable formulation of the viscous Burgers’ equation, and compared. As measures of comparison: variance size, computational efficiency and accuracy are used.

Place, publisher, year, edition, pages
Cham: Springer, 2019. Vol. 126, p. 1005-1013
Series
Lecture Notes in Computational Science and Engineering, ISSN 1439-7358 ; 126
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-154081DOI: 10.1007/978-3-319-96415-7_95Scopus ID: 2-s2.0-85060008788ISBN: 9783319964140 (print)ISBN: 9783319964157 (electronic)OAI: oai:DiVA.org:liu-154081DiVA, id: diva2:1283241
Conference
ENUMATH: European Conference on Numerical Mathematics and Advanced Applications, Numerical Mathematics and Advanced Applications ENUMATH 2017, 25-29 September, Voss, Norway
Note

cited By 0

Available from: 2019-01-28 Created: 2019-01-28 Last updated: 2019-01-29Bibliographically approved

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Wahlsten, MarkusNordström, 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