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SUMMARY:Numerical steepest descent for singular and oscillatory integrals 
 - Andrew Gibbs (University College London)
DTSTART:20191209T143000Z
DTEND:20191209T150000Z
UID:TALK135445@talks.cam.ac.uk
CONTACT:INI IT
DESCRIPTION:Co-Authors: Daan Huybrechs\, David Hewett<br><br>When modellin
 g high frequency scattering\, a common approach is to enrich the approxima
 tion space with oscillatory basis functions. This can lead to a significan
 t reduction in the DOFs required to accurately represent the solution\, wh
 ich is advantageous in terms of memory requirements and it makes the discr
 ete system significantly easier to solve. A potential drawback is that the
  each element in the discrete system is a highly oscillatory\, and sometim
 es singular\, integral. Therefore an efficient quadrature rule for such in
 tegrals is essential for an efficient scattering model. In this talk I wil
 l present a new class of quadrature rule we have designed for this purpose
 \, combining Numerical Steepest Descent (which works well for oscillatory 
 integrals) with Generalised Gaussian quadrature (which works well for sing
 ular integrals).
LOCATION:Seminar Room 1\, Newton Institute
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