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SUMMARY:Uniform numerical-asymptotics for integrable systems via Riemann
 –Hilbert problems - Sheehan Olver (Imperial College London)
DTSTART:20221104T091000Z
DTEND:20221104T100000Z
UID:TALK185240@talks.cam.ac.uk
DESCRIPTION:Asymptotics for integrable systems such as the Korteweg&ndash\
 ;de Vries &nbsp\;and Painlev&eacute\; equations can be proven rigorously u
 sing deformation of Riemann&ndash\;Hilbert problems but this has tradition
 ally only been used for special parameter regimes. In this talk we demonst
 rate that the Riemann&ndash\;Hilbert problem also encodes uniform asymptot
 ics\, and that by incoporating numerics we can achieve asymptotically accu
 rate computations of these equations. This also leads to the discovery of 
 regions where the validity of current rigorous asymptotic expansions break
 s down.
LOCATION:Seminar Room 1\, Newton Institute
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