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SUMMARY:Dynamical low-rank approaches for time-dependent PDEs
DTSTART:20211005T161500
DTEND:20211005T171500
DTSTAMP:20260414T072403Z
UID:a3c3c711e0e682f5e87fff08fbd85c0716e23ac79b4cf58a103262da
CATEGORIES:Conferences - Seminars
DESCRIPTION:Dr Chiara Piazzola\, CNR - IMATI\, Pavia\, Italy\nIn this tal
 k we present the so-called dynamical low-rank approximation for time-depen
 dent PDEs. This approach consists in constraining the evolution of the sys
 tem to a low-rank manifold\, such that the time integration is performed o
 n a lower dimensional space. By doing so\, we end up with solving differen
 tial equations for the low-rank factors of the solution only and we never 
 reconstruct the full approximation out of them\, with clear computational 
 savings.\n\nWe employ this strategy to solve matrix differential equations
  arising from the spatial discretization of PDEs. We also present a low-ra
 nk integrator for the solution of Vlasov-Maxwell equations\, which are kin
 etic equations posed in an up to six-dimensional space.\n\nThis talk is ba
 sed on joint work with A. Ostermann\, H. Walach\, and L. Einkemmer.
LOCATION:GA 3 21 https://plan.epfl.ch/?room==GA%203%2021
STATUS:CONFIRMED
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