Elena Luca - Physical Applied Mathematics Seminar
|Starts:||14:00 5 Dec 2019|
|Ends:||15:00 5 Dec 2019|
|What is it:||Seminar|
|Organiser:||Department of Mathematics|
|Who is it for:||University staff, External researchers, Current University students|
Elena Luca (UC San Diego) joins us for the Physical Applied Mathematics Series. This seminar is unusually scheduled for Thursday 5th December. The seminar will be in Frank Adams 1 at 2pm, with tea and biscuits as usual.
In this talk, we present fast and accurate numerical methods for the solution of mixed boundary value problems and of the associated 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 Trogdon & Olver (2015) is employed. It is shown that the known far-field behaviour of the solutions can be exploited to construct tailor-made numerical schemes providing accurate results. A number of scalar and matrix Wiener–Hopf problems that generalize the classical Sommerfeld problem of diffraction of plane waves by a semi-infinite plane, as well as problems arising in homogenization theory, are solved using the new approach.
Organisation: University of California San Diego
Travel and Contact Information
Frank Adams 1
Alan Turing Building