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SUMMARY:Stochastic Galerkin particle methods - Lorenzo Pareschi (Universit
 à degli Studi di Ferrara)
DTSTART:20220523T101500Z
DTEND:20220523T111500Z
UID:TALK173411@talks.cam.ac.uk
DESCRIPTION:In this talk we survey some recent results on the construction
  of particle methods for kinetic equations with uncertain inputs. In our a
 pproach\, to take into account the problem uncertainties\, each particle p
 osition and velocity depends on a set of random parameters. Using a stocha
 stic Galerkin projection method it is possible to project the particle dyn
 amics into the coefficients space of the corresponding generalized polynom
 ial chaos (gPC) expansion. In contrast to stochastic Galerkin methods base
 d on deterministic discretizations in the phase space of the kinetic equat
 ion\, the present approach does not have the drawbacks of loss of physical
  conservations\, positivity\, and hyperbolicity. Several applications to c
 ollective behavior\, rarefied gas dynamics and plasma physics are consider
 ed showing spectral convergence for smooth solutions in the random space. 
 Finally\, we will discuss some possible generalizations of these ideas to 
 system of conservation laws. This is a joint research with J.A. Carrillo\,
  G. Bertaglia\, A. Medaglia and M.Zanella.
LOCATION:Seminar Room 1\, Newton Institute
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