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Heterogena Multiskalmetoder för Högt Oscillativa och Dissipativa Ordinära Differentialekvationer
KTH, School of Engineering Sciences (SCI).
KTH, School of Engineering Sciences (SCI).
2019 (Swedish)Independent thesis Basic level (degree of Bachelor), 10 credits / 15 HE creditsStudent thesisAlternative title
Heterogeneous Multiscale Methods for Highly Oscillatory and Dissipative Ordinary Differential Equations (English)
Abstract [sv]

I den här uppsatsen studerar vi en klass av numeriska algoritmer som går under namnet heterogena multiskalmetoder. Vi presenterar en introduktion till ämnet och analyserar stabiliteten och noggranheten för några implementationer på dissipativa och oscillativa problem. Dessutom demonstrerar vi dess överlägsenhet i jämförelse med traditionella numeriska metoder på dessa typer av problem. Vi avslutar även med att demonstrera en implementation på ett större problem, nämligen det välkända trekropparsproblemet.

Abstract [en]

In this report we study a class of numerical algorithms under the name of heterogeneous multiscale methods. We present an introduction to the subject and analyze the stability and accuracy of a few implementations of dissipative and oscillatory problems. Furthermore, we demonstrate its superiority in comparison to tradtional numerical methods for these types of problems. Finally, we also present an implementation on a larger problem, namely the well known three-body problem.

Place, publisher, year, edition, pages
2019.
Series
TRITA-SCI-GRU ; 2019:176
National Category
Engineering and Technology
Identifiers
URN: urn:nbn:se:kth:diva-255850OAI: oai:DiVA.org:kth-255850DiVA, id: diva2:1342420
Supervisors
Examiners
Available from: 2019-08-13 Created: 2019-08-13 Last updated: 2019-08-13Bibliographically approved

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CiteExportLink to record
Permanent link

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Citation style
  • apa
  • harvard1
  • ieee
  • modern-language-association-8th-edition
  • vancouver
  • 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