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SUMMARY:Effective ways of solving some PDEs with complicated Boundary Cond
 itions on Unbounded domains - Anastasia Kisil (University of Manchester)
DTSTART:20191209T160000Z
DTEND:20191209T163000Z
UID:TALK135451@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:This talk will be split into two parts.<br><br>Firstly\, I wil
 l talk about the situation when boundary conditions are given on many plat
 es and the associated Wiener-Hopf equation. The Wiener-Hopf method can be 
 considered as a Riemann-Hilbert method with added analytisity information 
 allowing for full power of complex analysis methods to be exploited. I wil
 l explain the difficulties involved when matrix Wiener-Hopf equations are 
 solved. I will describe how recent advances in computation of rational app
 roximations and orthogonal polynomials can be used.  The corresponding can
 onical acoustics scattering problems will be considered. <br>This is joint
  work with Matthew J. Priddin and Lorna J. Ayton. <br><br>Secondly\, I wil
 l talk about how special functions called Mathieu function can be used to 
 solve Helmholz equation with boundary conditions given on a plate.  This a
 llows to produce a fast and stable code for challenging conditions like va
 rying elasticity and porosity on a plate. This is joint work with Matthew 
 J. Colbrook.
LOCATION:Seminar Room 1\, Newton Institute
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