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Stability and accuracy for difference methods using asynchronous processors
Linköping University, Department of Mathematics. Linköping University, Faculty of Science & Engineering.
2018 (English)Independent thesis Advanced level (degree of Master (Two Years)), 20 credits / 30 HE creditsStudent thesis
Abstract [en]

We solve initial boundary value problems with information unavailable at random time-steps. The randomly unavailable information represents asynchrony between processing elements. To approximate the initial boundary value problem, finite difference operators with summation-by-parts proper-ties and weak boundary procedures are used. Utilizing the energy method, we derive energy estimates for synchronous and asynchronous problems. The simulations show that the solutions may remain accurate and stable, even in the asynchronous case.

Place, publisher, year, edition, pages
2018. , p. 23
Keywords [en]
asynchronous problems, partial diffrence equations, initial boundary value problems, parallel computing
National Category
Computational Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-146045ISRN: LiTH-MAT-EX--2018/03--SEOAI: oai:DiVA.org:liu-146045DiVA, id: diva2:1192751
Subject / course
Mathematics
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Examiners
Available from: 2018-04-10 Created: 2018-03-23 Last updated: 2019-09-09Bibliographically approved

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asynch_albgo739(578 kB)101 downloads
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Göransson, Albin
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CiteExportLink to record
Permanent link

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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