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SUMMARY:Pruning Wiener–Hopf Equations: From Pole Removal to Branch Remov
 al - Matthew Priddin (University of Cambridge)
DTSTART:20201117T110000Z
DTEND:20201117T120000Z
UID:TALK152119@talks.cam.ac.uk
CONTACT:Mungo G. Aitken
DESCRIPTION:Pole removal is a common tool to help solve Wiener--Hopf probl
 ems\ninvolving meromorphic functions\, allowing a full matrix factorizatio
 n to\nbe avoided at the expense of solving a linear system matching remove
 d\nsingularities. In this talk we show that this approach can be\neffectiv
 ely extended to functions with branch cut singularities\, without\nrecours
 e to rational approximation\, in certain cases. Using a weighted\npolynomi
 al basis approximation for the jump across each cut\, the\nassociated line
 ar system may be explicitly constructed and solved. The\nmethod is demonst
 rated for scattering a plane wave by a finite plate.\nThis setting tighten
 s the relationship between pole removal and the\niterative approach to sol
 ving a class of Wiener--Hopf problems proposed\nby Kisil.
LOCATION:Microsoft Teams 
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