Change search
ReferencesLink to record
Permanent link

Direct link
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
URN: urn:nbn:se:bth-2132Local ID: diva2:829398
Physics, Chemistry, Mathematics
+46-767165881Available from: 2015-04-22 Created: 2012-09-25 Last updated: 2015-06-30Bibliographically approved

Open Access in DiVA

fulltext(17937 kB)155 downloads
File information
File name FULLTEXT01.pdfFile size 17937 kBChecksum SHA-512
Type fulltextMimetype application/pdf

By organisation
School of Engineering
Mathematical AnalysisDiscrete MathematicsMathematics

Search outside of DiVA

GoogleGoogle Scholar
Total: 155 downloads
The number of downloads is the sum of all downloads of full texts. It may include eg previous versions that are now no longer available

Total: 102 hits
ReferencesLink to record
Permanent link

Direct link