Type: Seminar

Distribution: World

Expiry: 10 May 2013

CalTitle1: Seminar: Trogdon -- A numerical Riemann—Hilbert approach for the Korteweg—de Vries equation

Auth: olver@p624.pc (assumed)

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