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SUMMARY:Geometric numerical integration of differential equations - Reinou
 t Quispel (La Trobe University\, Melbourne\, Australia)
DTSTART:20090226T150000Z
DTEND:20090226T160000Z
UID:TALK17020@talks.cam.ac.uk
CONTACT:6743
DESCRIPTION:Geometric integration is the numerical integration of a differ
 ential equation\, while preserving one or more of its geometric/physical p
 roperties exactly\, i.e. to within round-off error.\nMany of these geometr
 ic properties are of crucial importance in physical applications: preserva
 tion of energy\, momentum\, angular momentum\, phase-space volume\, symmet
 ries\, time-reversal symmetry\, symplectic structure and dissipation are e
 xamples. The field has tantalizing connections to dynamical systems\, as w
 ell as to Lie groups. \nIn this talk we first present a survey of geometri
 c numerical integration methods for differential equations\, and then exem
 plify this by discussing symplectic vs energy-preserving integrators for O
 DEs as well as for PDEs.\n\nWe have tried to make the review of interest f
 or a broader audience.
LOCATION:MR14\, CMS
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