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arXiv:1402.6304 [math.NA]AbstractReferencesReviewsResources

A Hierarchy of Hybrid Numerical Methods for Multi-Scale Kinetic Equations

Francis Filbet, Thomas Rey

Published 2014-02-25, updated 2014-03-12Version 2

In this paper, we construct a hierarchy of hybrid numerical methods for multi-scale kinetic equations based on moment realizability matrices, a concept introduced by Levermore, Morokoff and Nadiga. Following such a criterion, one can consider hybrid scheme where the hydrodynamic part is given either by the compressible Euler or Navier-Stokes equations, or even with more general models, such as the Burnett or super-Burnett systems.

Comments: 27 pages, edit: typo and metadata change
Categories: math.NA
Subjects: 76P05, 82C40, 65N08, 65N35
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