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SUMMARY:Numerical solution of matrix Wiener-Hopf problems via a Riemann-Hi
 lbert formulation - Elena Luca\, University of California San Diego
DTSTART:20190709T100000Z
DTEND:20190709T110000Z
UID:TALK127000@talks.cam.ac.uk
CONTACT:Matthew Priddin
DESCRIPTION:In this talk\, we present a fast and accurate numerical method
  for the solution of scalar and matrix Wiener–Hopf problems. The Wiener
 –Hopf problems are formulated as Riemann–Hilbert problems on the real 
 line\, and the numerical approach for such problems of e.g. Trogdon & Olve
 r (2015) is employed. It is shown that the known far-field behaviour of th
 e solutions can be exploited to construct tailor-made numerical schemes pr
 oviding accurate results. A number of scalar and matrix Wiener–Hopf prob
 lems that generalize the classical Sommerfeld problem of diffraction of pl
 ane waves by a semi-infinite plane are solved using the new approach.\n\n*
 This is joint work with Prof. Stefan G. Llewellyn Smith (UCSD).
LOCATION:CMS\, MR12
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