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SUMMARY:Weak formulation of dynamical low-rank approximation for parabolic
  problems
DTSTART:20200616T161500
DTEND:20200616T171500
DTSTAMP:20260610T235657Z
UID:75a360d6adcc96d2386825520de4c1f7c9c6e61c768958aa05e3f36f
CATEGORIES:Conferences - Seminars
DESCRIPTION:Dr. André Uschmajew\nComputational Mathematics Seminar \n\nht
 tps://epfl.zoom.us/j/98144804167\n      \nAbstract :\nDynamical low-
 rank approximation of matrices can be used for time integration of matrix 
 valued ODEs on low-rank rank manifolds based on a time dependent variation
 al principle. While several applications arise from PDEs on tensor product
  domains\, setting up a well posed problem in function space (before discr
 etization) may not be obvious. We present a weak formulation of the time d
 ependent variational principle that is applicable to dynamical low-rank ap
 proximation of parabolic problems. The existence of solutions can be shown
  using a variational time-stepping scheme on the low-rank manifold that is
  related to practical methods for low-rank integration. (Joint work with M
 arkus Bachmayr\, Henrik Eisenmann and Emil Kieri.)\n 
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STATUS:CONFIRMED
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