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SUMMARY:Numerical Inverse Scattering for the KdV Equation Revisited - Thom
 as Trogdon (University of Washington)
DTSTART:20221025T100000Z
DTEND:20221025T110000Z
UID:TALK184316@talks.cam.ac.uk
DESCRIPTION:We consider the numerical evaluation of the forward and invers
 e scattering transforms for the Korteweg-de Vries (KdV) equation. For the 
 initial-value problem (IVP) for decaying data on the line\, we review exis
 ting numerical techniques and discuss successes using new basis functions.
  Extensions of these ideas to step-like data and to the IVP with periodic 
 initial data will also be discussed. The latter requires a recent approach
  to the numerical computation of the so-called Baker-Akhiezer function of 
 a large-genus hyperelliptic Riemann surface. All approaches produce accura
 te numerical solutions in the long-time regime.
LOCATION:Seminar Room 1\, Newton Institute
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