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SUMMARY:Using iteration to solve n by n matrix Wiener-Hopf equations invol
 ving exponential factors with numerical implementation - Matthew Priddin (
 University of Cambridge)
DTSTART:20190815T133000Z
DTEND:20190815T140000Z
UID:TALK128620@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:Wiener-Hopf equations involving $n\\times n$ matrices can aris
 e when solving mixed boundary value problems with $n$ junctions at which t
 he boundary condition to be imposed changes form.&nbsp\; The offset Fourie
 r transforms of the unknown boundary values lead to exponential factors wh
 ich require careful consideration when applying the Wiener-Hopf technique.
  We consider the generalisation of an iterative method introduced recently
  (Kisil  2018) from $2\\times 2$ to $n\\times n$ problems. This may be eff
 ectively implemented numerically by employing a spectral method to compute
  Cauchy transforms. We illustrate the approach through various examples of
  scattering from collinear rigid plates and consider the merits of the ite
 rative method relative to alternative approaches to similar problems.
LOCATION:Seminar Room 1\, Newton Institute
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