Seminar: Trogdon -- A numerical Riemann--Hilbert approach for the Korteweg--de Vries equation

Dear all, 

Tom Trogdon from the University of Washington will give a talk on Thursday 9th of May at
3pm in Carslaw room 829 (AGR): 

Title: A numerical Riemann--Hilbert approach for the Korteweg--de Vries equation 

Abstract: It is well known that the Cauchy intial-value problem for the Korteweg--de
Vries (KdV) equation on the line may be solved with the inverse scattering transform
(IST).  Often, the IST is described in terms of the solution of a matrix
Riemann--Hilbert problem.  Building on this technique, I will describe how the
construction of periodic and quasi-periodic solutions of the KdV equation can be
performed with matrix Riemann--Hilbert problems.  Furthermore, using a computational
approach to Riemann--Hilbert problems, the IST, periodic solutions and quasi-periodic
solutions are computed with uniform accuracy.  

All welcome.  

Best wishes, Pavlos