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SUMMARY:Uncertainty quantification  for multiscale  kinetic equations with
  uncertain coefficients
DTSTART:20171103T151500
DTEND:20171103T161500
DTSTAMP:20260502T080329Z
UID:c936e3c0e8e9eb04e9c7000c963d953bdf6e34c1d758e6f52479c092
CATEGORIES:Conferences - Seminars
DESCRIPTION:Prof. Shi Jin\nIn this talk we will study the generalized poly
 nomial chaos-stochastic Galerkin (gPC-SG) approach to kinetic equations wi
 th uncertain coefficients/inputs\, and multiple time or space scales\, and
  show that they can be made asymptotic-preserving\, in the sense that the
  gPC-SG scheme preserves various asymptotic limits in the discrete space. 
 This allows the implementation of the gPC methods for these problems witho
 ut numerically resolving (spatially\, temporally or by gPC modes) the smal
 l scales.  Rigorous analysis\, based on hypocoercivity of the collision o
 perator\,  will be provided for general kinetic equations to prove unifor
 m convergence toward the local or global equilibrium\, and the spectral co
 nvergence of the gPC-SG method.\n 
LOCATION:MA A3 30 https://plan.epfl.ch/?room=MAA330
STATUS:CONFIRMED
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