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CATEGORIES:Isaac Newton Institute Seminar Series
SUMMARY:Numerical solution of matrix Wiener&\;ndash\;Ho
pf problems via a Riemann&\;ndash\;Hilbert form
ulation - Elena Luca (University of California\, S
an Diego)
DTSTART;TZID=Europe/London:20190815T103000
DTEND;TZID=Europe/London:20190815T110000
UID:TALK128593AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/128593
DESCRIPTION:In this talk\, we present a fast and accurate nume
rical method for the solution of scalar and matrix
Wiener&ndash\;Hopf problems. The Wiener&ndash\;Ho
pf problems are formulated as Riemann&ndash\;Hilbe
rt problems on the real line\, and the numerical a
pproach for such problems of e.g. Trogdon &\; O
lver (2015) is employed. It is shown that the know
n far-field behaviour of the solutions can be expl
oited to construct tailor-made numerical schemes p
roviding accurate results. A number of scalar and
matrix Wiener&ndash\;Hopf problems that generalize
the classical Sommerfeld problem of diffraction o
f plane waves by a semi-infinite plane are solved
using the new approach.
This is joint wor
k with Prof. Stefan G. Llewellyn Smith (UCSD).
LOCATION:Seminar Room 1\, Newton Institute
CONTACT:INI IT
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