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CATEGORIES:Waves Group (DAMTP)
SUMMARY:Numerical solution of matrix Wiener-Hopf problems
via a Riemann-Hilbert formulation - Elena Luca\, U
niversity of California San Diego
DTSTART;TZID=Europe/London:20190709T110000
DTEND;TZID=Europe/London:20190709T120000
UID:TALK127000AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/127000
DESCRIPTION:In this talk\, we present a fast and accurate nume
rical method for the solution of scalar and matrix
Wiener–Hopf problems. The Wiener–Hopf problems ar
e formulated as Riemann–Hilbert problems on the re
al line\, and the numerical approach for such prob
lems of e.g. Trogdon & Olver (2015) is employed. I
t is shown that the known far-field behaviour of t
he solutions can be exploited to construct tailor-
made numerical schemes providing accurate results.
A number of scalar and matrix Wiener–Hopf problem
s that generalize the classical Sommerfeld problem
of diffraction of plane 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
CONTACT:Matthew Priddin
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