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SUMMARY:Numerical solution of matrix Wiener–Hopf problems via a Riemann
 –Hilbert formulation - Elena Luca (University College London)
DTSTART:20230209T114500Z
DTEND:20230209T123000Z
UID:TALK194800@talks.cam.ac.uk
DESCRIPTION:\n\n\nIn this talk\, we present a fast and accurate numerical 
 method for the solution of scalar and matrix Wiener&ndash\;Hopf problems. 
 The Wiener&ndash\;Hopf problems are formulated as Riemann&ndash\;Hilbert p
 roblems on the real line\, and the numerical approach for such problems of
  e.g. Trogdon & Olver (2015) is employed. It is shown that the known far-f
 ield behaviour of the solutions can be exploited to construct tailor-made 
 numerical schemes providing accurate results. A number of scalar and matri
 x Wiener&ndash\;Hopf problems that generalize the classical Sommerfeld pro
 blem of diffraction of plane waves by a semi-infinite plane are solved usi
 ng the new approach.\nThis is joint work with Prof. Stefan G. Llewellyn Sm
 ith (UCSD).\n\n\n
LOCATION:Seminar Room 1\, Newton Institute
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