{
  "id": "math/0501496",
  "version": "v2",
  "published": "2005-01-27T19:17:37.000Z",
  "updated": "2007-02-08T01:07:34.000Z",
  "title": "Several new quadrature formulas for polynomial integration in the triangle",
  "authors": [
    "Mark A. Taylor",
    "Beth A. Wingate",
    "Len P. Bos"
  ],
  "comment": "14 pages, 14 figures, 5 pages of tabulated quadrature points. Correct reference",
  "categories": [
    "math.NA"
  ],
  "abstract": "We present several new quadrature formulas in the triangle for exact integration of polynomials. The points were computed numerically with a cardinal function algorithm which imposes that the number of quadrature points $N$ be equal to the dimension of a lower dimensional polynomial space. Quadrature forumulas are presented for up to degree $d=25$, all which have positive weights and contain no points outside the triangle. Seven of these quadrature formulas improve on previously known results.",
  "revisions": [
    {
      "version": "v2",
      "updated": "2007-02-08T01:07:34.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "65D30",
      "65D32",
      "65M60",
      "65M70",
      "41A10"
    ],
    "keywords": [
      "quadrature formulas",
      "polynomial integration",
      "lower dimensional polynomial space",
      "cardinal function algorithm",
      "exact integration"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 14,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2005math......1496T"
    }
  }
}