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SUMMARY:Geometric properties of Kahan's method - Robert MacLachlan (Massey
  University\, Palmerston North\, NZ)
DTSTART:20130429T130000Z
DTEND:20130429T140000Z
UID:TALK44966@talks.cam.ac.uk
CONTACT:Carola-Bibiane Schoenlieb
DESCRIPTION:In unpublished lecture notes of 1993\, William Kahan proposed 
 a numerical method for integrating ordinary differential equations that he
  called `unconventional' which he reported had been delivering excellent r
 esults for more than 20 years. Interest in the method was revived when res
 earchers showed that the method had an uncanny\, and unexplained\, ability
  to (sometimes) preserve integrability. Now Elena Celledoni\, Brynjulf Owr
 en\, Reinout Quispel and myself have shown that the method is not\, in fac
 t\, unconventional\, but that its properties certainly are - they are nove
 l for integrability\, for Runge-Kutta methods\, and for geometric integrat
 ion simultaneously.
LOCATION:MR 14\, CMS
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