{
  "id": "2307.07203",
  "version": "v1",
  "published": "2023-07-14T07:35:46.000Z",
  "updated": "2023-07-14T07:35:46.000Z",
  "title": "Numerical cubature on scattered data by adaptive interpolation",
  "authors": [
    "R. Cavoretto",
    "F. Dell'Accio",
    "A. De Rossi",
    "F. Di Tommaso",
    "N. Siar",
    "A. Sommariva",
    "M. Vianello"
  ],
  "categories": [
    "math.NA",
    "cs.NA"
  ],
  "abstract": "We construct cubature methods on scattered data via resampling on the support of known algebraic cubature formulas, by different kinds of adaptive interpolation (polynomial, RBF, PUM). This approach gives a promising alternative to other recent methods, such as direct meshless cubature by RBF or least-squares cubature formulas.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-07-14T07:35:46.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "65D05",
      "65D32"
    ],
    "keywords": [
      "adaptive interpolation",
      "scattered data",
      "numerical cubature",
      "construct cubature methods",
      "algebraic cubature formulas"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}