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SUMMARY:Splitting Methods and Applications
DTSTART:20131127T171500
DTEND:20131127T180000
DTSTAMP:20260406T214412Z
UID:65c001cf5835008c4f92e44b9a964e8d01072c75f677958c1d90e20e
CATEGORIES:Conferences - Seminars
DESCRIPTION:Jonathan Rochat\nHamiltonian Dynamics SeminarAbstract: Operato
 r splitting (or the fractional steps method) is a very common tool for ana
 lyzing nonlinear partial differential equations both numerically and analy
 tically. By applying operator splitting to a complicated system one can of
 ten split it into simpler problems that can be analyzed separately. A spli
 tting scheme is then a composition of flows associated with each part of t
 he system with fractional time steps. We introduce these methods and prese
 nt some conditions on the fractional steps to obtain high order methods us
 ing geometric tools. The existence of backward fractional time steps in me
 thods of order higher than three is in fact unavoidable. Some example of o
 ther composition methods involving only positive coefficients will also be
  discussed.\nThese numerical schemes have been successfully applied for so
 lving a large number of problems. We present some applications for differe
 ntial equations and Hamiltonian systems\, but also some partial differenti
 al equations like the Navier-Stokes problem.
LOCATION:MA A3 31
STATUS:CONFIRMED
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