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SUMMARY:On the stability of conservative discontinuous Galerkin/Hermite sp
 ectral methods for the Vlasov-Poisson system - Francis Filbet (Université
  de Toulouse)
DTSTART:20220526T080000Z
DTEND:20220526T090000Z
UID:TALK173618@talks.cam.ac.uk
DESCRIPTION:We study a class of spatial discretizations for the Vlasov-Poi
 sson system written as an hyperbolic system using Hermite polynomials. In 
 particular\, we focus on spectral methods and discontinuous Galerkin appro
 ximations. To obtain L^2 stability properties\, we introduce a new L^2 wei
 ghted space\, with a time dependent weight. For the Hermite spectral form 
 of the Vlasov-Poisson system\, we prove conservation of mass\, momentum an
 d total energy\, as well as global stability for the weighted L 2 norm. Th
 ese properties are then discussed for several spatial discretizations. Fin
 ally\, numerical simulations are performed with the proposed DG/Hermite sp
 ectral method to highlight its stability and conservation features. &nbsp\
 ;
LOCATION:Seminar Room 1\, Newton Institute
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