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An iterative solution method for p-harmonic functions on finite graphs with an implementation / En iterativ lösningsmetod för p-harmoniska funktioner på ändliga grafer med en implementation

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.

Identiferoai:union.ndltd.org:UPSALLA1/oai:DiVA.org:liu-18162
Date January 2009
CreatorsAndersson, Tomas
PublisherLinköpings universitet, Matematiska institutionen
Source SetsDiVA Archive at Upsalla University
LanguageEnglish
Detected LanguageEnglish
TypeStudent thesis, info:eu-repo/semantics/bachelorThesis, text
Formatapplication/pdf
Rightsinfo:eu-repo/semantics/openAccess

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