{
  "id": "math/0209336",
  "version": "v1",
  "published": "2002-09-25T09:42:08.000Z",
  "updated": "2002-09-25T09:42:08.000Z",
  "title": "Convergence of a particle-in-cell scheme for the spherically symmetric Vlasov-Einstein system",
  "authors": [
    "Gerhard Rein",
    "Thomas Rodewis"
  ],
  "comment": "38 pages",
  "journal": "Indiana Univ. Math. Journal, Vol. 52, No. 4, 821-861 (2003)",
  "categories": [
    "math.NA",
    "gr-qc",
    "math-ph",
    "math.MP"
  ],
  "abstract": "We consider spherically symmetric, asymptotically flat space-times with a collisionless gas as matter model. Many properties of the resulting Vlasov-Einstein system are not yet accessible by purely analytical means. We present a discretized version of this system which is suitable for numerical implementation and is based on the particle-in-cell technique. Convergence of the resulting approximate solutions to the exact solution is proven and error bounds are provided.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2002-09-25T09:42:08.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "65M12"
    ],
    "keywords": [
      "spherically symmetric vlasov-einstein system",
      "particle-in-cell scheme",
      "convergence",
      "matter model",
      "error bounds"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 38,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "inspire": 597061,
      "adsabs": "2002math......9336R"
    }
  }
}