Numerical Analysis Seminars: Numerical strategies for the solution of evolution boundary value problems
7 December 2007 14:15 in Room 034 of the e-Science Research Institute
In this talk, I will outline a general recent methodology for solving boundary value problems for linear and integrable nonlinear PDEs in two variables. I will focus on the case of of evolution problems (hence one variable always models time). I will discuss the case of classical boundary value problems posed on a finite or semi-infinite interval, as well as the case when such a problem is posed in a time-dependent domain. In both cases, I will illustrate how this methodology yields new fast strategies for evaluating the solution numerically. This work is in collaboration with A.S. Fokas and my student S. Vetra.
Contact David.Bourne@durham.ac.uk for more information