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The numerical solution of BVPs using the Unified Transform Method

Presented by: 
Bernard Deconinck
Date: 
Friday 13th December 2019 - 13:30 to 14:00
Venue: 
INI Seminar Room 1
Abstract: 
Using a semi-discrete analog of the Unified Transform Method of Fokas, we explore the possibility of devising finite-difference schemes that take boundary conditions into account properly. This is done by combining the exact solution for the linear problem with the solution of the nonlinear problem in a split-step approach. In this talk, I will discuss the first step of this project, where the solution of the linear problem is explored.

Co-author: 
Jorge Cisneros (University of Washington)
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons