{
  "id": "2011.12572",
  "version": "v1",
  "published": "2020-11-25T08:31:49.000Z",
  "updated": "2020-11-25T08:31:49.000Z",
  "title": "A combination of Residual Distribution and the Active Flux formulations or a new class of schemes that can combine several writings of the same hyperbolic problem: application to the 1D Euler equations",
  "authors": [
    "Rémi Abgrall"
  ],
  "categories": [
    "math.NA",
    "cs.NA"
  ],
  "abstract": "We show how to combine in a natural way (i.e. without any test nor switch) the conservative and non conservative formulations of an hyperbolic system that has a conservative form. This is inspired from two different class of schemes: the Residual Distribution one, and the Active Flux formulations. This new class of scheme is proved to satisfy a Lax-Wendroff like theorem. We also develop a method to perform non linear stability. We illustrate the behaviour on several benchmarks, some quite challenging.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2020-11-25T08:31:49.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "active flux formulations",
      "1d euler equations",
      "residual distribution",
      "hyperbolic problem",
      "combination"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}