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The results in my Ph.D. thesis are new used in options works. We get very good approximations to the option price and the delta and it beats the current Crank-Nicolson because there are no oscillations in the solution.
All degrees were taken in Trinity College, Dublin. Between 1976 and 1979 I carried out research at Pavia (Italy), Paris VI and Nijmegen (The Netherlands), including free boundary value problems and variational inequalities.
From 1980 to 1987 I worked on industrial problems using FEM and other numerical techniques for problems such as TV tube simulation, acoustics and fluid flow in pipelines, oil and gas.
In 1993 I worked on an early version of the Algorithmics software for a large Dutch bank.
Further I'm author of several book related to software and financial engineering (Published by Wiley):
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