{
  "id": "1402.6304",
  "version": "v2",
  "published": "2014-02-25T20:33:34.000Z",
  "updated": "2014-03-12T15:01:54.000Z",
  "title": "A Hierarchy of Hybrid Numerical Methods for Multi-Scale Kinetic Equations",
  "authors": [
    "Francis Filbet",
    "Thomas Rey"
  ],
  "comment": "27 pages, edit: typo and metadata change",
  "categories": [
    "math.NA"
  ],
  "abstract": "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.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2014-03-12T15:01:54.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "76P05",
      "82C40",
      "65N08",
      "65N35"
    ],
    "keywords": [
      "multi-scale kinetic equations",
      "hybrid numerical methods",
      "moment realizability matrices",
      "hybrid scheme",
      "hydrodynamic part"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 27,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2014arXiv1402.6304F"
    }
  }
}