{
  "id": "1702.02056",
  "version": "v1",
  "published": "2017-02-07T15:26:14.000Z",
  "updated": "2017-02-07T15:26:14.000Z",
  "title": "An improved high order finite difference method for non-conforming grid interfaces for the wave equation",
  "authors": [
    "Siyang Wang"
  ],
  "categories": [
    "math.NA"
  ],
  "abstract": "This paper is an extension of a recently developed high order finite difference method for the wave equation on a grid with non-conforming interfaces. The stability proof of the previous method relies on the interface operators being norm-contracting, which is satisfied by the second and fourth order operators, but not by the sixth order operator. In this paper, we present a new way of numerical interface couplings to remove the norm-contracting requirement, so that the sixth order accurate scheme is also provably stable. Numerical experiments demonstrate the improved stability and accuracy property.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2017-02-07T15:26:14.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "65M06",
      "65M12"
    ],
    "keywords": [
      "high order finite difference method",
      "non-conforming grid interfaces",
      "wave equation",
      "sixth order accurate scheme",
      "developed high order finite difference"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}