{
  "id": "1204.5813",
  "version": "v1",
  "published": "2012-04-26T02:18:45.000Z",
  "updated": "2012-04-26T02:18:45.000Z",
  "title": "Superconvergence Points of Spectral Interpolation",
  "authors": [
    "Zhimin Zhang"
  ],
  "categories": [
    "math.NA"
  ],
  "abstract": "In this work, we study superconvergence properties for some high-order orthogonal polynomial interpolations.The results are two-folds: When interpolating function values, we identify those points where the first and second derivatives of the interpolant converge faster;When interpolating the first derivative,we locate those points where the function value of the interpolant superconverges. For the earlier case, we use various Chebyshev polynomials; and for the later case,we also include the counterpart Legendre polynomials.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2012-04-26T02:18:45.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "spectral interpolation",
      "superconvergence points",
      "high-order orthogonal polynomial interpolations",
      "counterpart legendre polynomials",
      "study superconvergence properties"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2012arXiv1204.5813Z"
    }
  }
}