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CATEGORIES:Applied and Computational Analysis
SUMMARY:Geometric numerical integration of differential eq
uations - Reinout Quispel (La Trobe University\, M
elbourne\, Australia)
DTSTART;TZID=Europe/London:20090226T150000
DTEND;TZID=Europe/London:20090226T160000
UID:TALK17020AThttp://talks.cam.ac.uk
URL:http://talks.cam.ac.uk/talk/index/17020
DESCRIPTION:Geometric integration is the numerical integration
of a differential equation\, while preserving one
or more of its geometric/physical properties exac
tly\, i.e. to within round-off error.\nMany of the
se geometric properties are of crucial importance
in physical applications: preservation of energy\,
momentum\, angular momentum\, phase-space volume\
, symmetries\, time-reversal symmetry\, symplectic
structure and dissipation are examples. The field
has tantalizing connections to dynamical systems\
, as well as to Lie groups. \nIn this talk we firs
t present a survey of geometric numerical integrat
ion methods for differential equations\, and then
exemplify this by discussing symplectic vs energy-
preserving integrators for ODEs as well as for PDE
s.\n\nWe have tried to make the review of interest
for a broader audience.
LOCATION:MR14\, CMS
CONTACT:
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