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The numerical solution of BVPs using the Unified Transform Method

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CATW03 - Computational complex analysis

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)

This talk is part of the Isaac Newton Institute Seminar Series series.

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