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Analytical and Numerical methods for a Mean curvature flow equation with applications to financial Mathematics and image processing
Blekinge Institute of Technology, School of Engineering.
2012 (English)Independent thesis Advanced level (degree of Master (Two Years))Student thesis
Abstract [en]

This thesis provides an analytical and two numerical methods for solving a parabolic equation of two-dimensional mean curvature flow with some applications. In analytical method, this equation is solved by Lie group analysis method, and in numerical method, two algorithms are implemented in MATLAB for solving this equation. A geometric algorithm and a step-wise algorithm; both are based on a deterministic game theoretic representation for parabolic partial differential equations, originally proposed in the genial work of Kohn-Serfaty [1].

Place, publisher, year, edition, pages
2012. , 30 p.
Keyword [en]
Mean curvature flow, Lie group analysis, Parabolic equation, Deterministic game theoretic
National Category
Mathematical Analysis Discrete Mathematics Mathematics
Identifiers
URN: urn:nbn:se:bth-2132Local ID: oai:bth.se:arkivex4E0D4D0E1A9291A1C1257A840050F834OAI: oai:DiVA.org:bth-2132DiVA: diva2:829398
Uppsok
Physics, Chemistry, Mathematics
Supervisors
Note
+46-767165881Available from: 2015-04-22 Created: 2012-09-25 Last updated: 2015-06-30Bibliographically approved

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Mathematical AnalysisDiscrete MathematicsMathematics

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CiteExportLink to record
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Citation style
  • apa
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Language
  • de-DE
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Output format
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