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Ray methods for Free Boundary Problems

Abstract:
We discuss the use of the WKB ansatz in a variety of parabolic problems involving a small parameter. We analyse the Stefan problem for small latent heat, the Black--Scholes problem for an American put option, and some nonlinear diffusion equations, in each case constructing an asymptotic solution by the use of ray methods.

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Publication date:
2005-01-01


UUID:
uuid:16df0701-5186-4cc3-8345-5fae50557dd9
Local pid:
oai:eprints.maths.ox.ac.uk:179
Deposit date:
2011-05-19
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