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Free and Moving Boundary Value Problems
| Speaker: |
Maxim Pisarenco
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| Date: |
Wednesday June 18, 2008 |
| Title: |
Parabolic Free Boundary
Problems: Method of Invariant Imbedding
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Abstract
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Free boundary problems often arise
in the modeling of physical processes. One typical example is ice
melting (Stefan problem). In this talk, the method of invariant
imbedding for solving one-dimensional parabolic problems will be
presented. The idea of the method is to convert the BVP with an unknown
boundary to a set of easy-to-solve well-posed IVPs. Algorithmic
implementation of the method will be explained and results of numerical
experiments will be discussed.
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