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An iterative solution method for p-harmonic functions on finite graphs with an implementation
Linköping University, Department of Mathematics.
2009 (English)Independent thesis Advanced level (degree of Master (One Year)), 20 credits / 30 HE creditsStudent thesisAlternative title
En iterativ lösningsmetod för p-harmoniska funktioner på ändliga grafer med en implementation (Swedish)
Abstract [en]

In this paper I give a description and derivation of Dirichlet's problem, a boundary value problem, for p-harmonic functions on graphs and study an iterative method for solving it.The method's convergence is proved and some preliminary results about its speed of convergence are presented.There is an implementation accompanying this thesis and a short description of the implementation is included. The implementation will be made available on the internet at http://www.mai.liu.se/~anbjo/pharmgraph/ for as long as possible.

Place, publisher, year, edition, pages
2009. , 35 p.
Keyword [en]
Dirichlet's problem, graphs, iteration, numerical solution, p-harmonic function
National Category
Mathematics
Identifiers
URN: urn:nbn:se:liu:diva-18162ISRN: LiTH-MAT-EX--2009/03--SEOAI: oai:DiVA.org:liu-18162DiVA: diva2:216379
Subject / course
Applied Mathematics
Presentation
kompakta rummet, Linköpings universitet, 581 83 Linköping, MAI (English)
Uppsok
Physics, Chemistry, Mathematics
Supervisors
Examiners
Available from: 2009-05-08 Created: 2009-05-08 Last updated: 2011-10-18Bibliographically approved

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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