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SUMMARY:Structure-preserving discretization of continuum theories
DTSTART:20130225T171500
DTEND:20130225T180000
DTSTAMP:20260509T062456Z
UID:a6b068e35c40d94053363773e1ed90efacf3a244ea7cf60213844cda
CATEGORIES:Conferences - Seminars
DESCRIPTION:Dmitry Pavlov\, EPFL\nHamiltonian Dynamics Seminar\nAbstract: 
 In this talk I will describe several discrete models of infinite dimension
 al systems which preserve underlying geometric structures. Discrete models
  of this type usually lead to novel numerical methods\, so called structur
 e-preserving integrators\, which capture the dynamics of the system withou
 t energy or momenta loss and preserve momentum maps in the discrete realm.
  This work started with development of the first variational integrator fo
 r Euler fluids. Since then\, our methods have been developed further and a
 re now applicable to a great variety of infinite-dimensional systems\, suc
 h as magnetohydrodynamics or complex fluids. I will discuss our new approa
 ch to discretization based on ideas of noncommutative geometry. One of the
  goals of this work is creating a new model of discrete differential geome
 try that leads to a structure preserving discretization of general relativ
 ity.
LOCATION:MA A3 30 http://plan.epfl.ch/?room=MA%20A3%2030
STATUS:CONFIRMED
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