Ray methods for Free Boundary Problems

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...

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Bibliographic Details
Main Authors: Addison, J, Howison, S, King, J
Format: Journal article
Published: 2005