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SUMMARY:Implicit-explicit linear multistep methods for stiff kinetic equat
ions
DTSTART;VALUE=DATE-TIME:20160616T073000Z
DTEND;VALUE=DATE-TIME:20160616T081500Z
DTSTAMP;VALUE=DATE-TIME:20200716T180601Z
UID:indico-contribution-2976@indico.math.cnrs.fr
DESCRIPTION:Speakers: Giacomo Dimarco (Department of Mathematics and Compu
ter Science)\nWe consider the development of high order asymptotic-preserv
ing linear multistep methods for kinetic equations and related problems. T
he methods are first developed for BGK-like kinetic models and then extend
ed to the case of the full Boltzmann equation. The behavior of the schemes
in the Navier-Stokes regime is also studied and compatibility conditions
derived. We show that\, compared to IMEX Runge-Kutta methods\, the IMEX mu
ltistep schemes have several advantages due to the absence of coupling con
ditions and to the greater computational efficiency. The latter is of para
mount importance when dealing with the time discretization of multidimensi
onal kinetic equations.\n\nhttps://indico.math.cnrs.fr/event/939/contribut
ions/2976/
LOCATION: Salle de Réunion - Bâtiment M2
URL:https://indico.math.cnrs.fr/event/939/contributions/2976/
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