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SUMMARY:Some recent results on the Kahan-Hirota-Kimura discretization - Qu
 ipsel\, R (La Trobe University)
DTSTART:20130712T133000Z
DTEND:20130712T140000Z
UID:TALK46205@talks.cam.ac.uk
CONTACT:Mustapha Amrani
DESCRIPTION:We show that Kahan's discretization of quadratic vector fields
  is equivalent to a Runge-\nKutta method. In case the vector field is Hami
 ltonian\, with constant Poisson structure\, the\nmap determined by this di
 scretization preserves a (modified) integral and a (modified) invariant me
 asure. This produces large classes of integrable rational mappings\, expla
 ining some of the integrable cases that were previously known\, as well as
  yielding many new ones.\n
LOCATION:Seminar Room 1\, Newton Institute
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