{
  "id": "1110.5921",
  "version": "v1",
  "published": "2011-10-26T20:14:39.000Z",
  "updated": "2011-10-26T20:14:39.000Z",
  "title": "Symmetry Preserving Numerical Schemes for Partial Differential Equations and their Numerical Tests",
  "authors": [
    "Raphaël Rebelo",
    "Francis Valiquette"
  ],
  "comment": "18 pages, 9 figures",
  "categories": [
    "math-ph",
    "math.MP",
    "math.NA"
  ],
  "abstract": "The method of equivariant moving frames on multi-space is used to construct symmetry preserving finite difference schemes of partial differential equations invariant under finite-dimensional symmetry groups. Invariant numerical schemes for a heat equation with a logarithmic source and the spherical Burgers equation are obtained. Numerical tests show how invariant schemes can be more accurate than standard discretizations on uniform rectangular meshes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2011-10-26T20:14:39.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "58J70",
      "68N06"
    ],
    "keywords": [
      "partial differential equations",
      "symmetry preserving numerical schemes",
      "numerical tests",
      "preserving finite difference schemes",
      "symmetry preserving finite difference"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 18,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2011arXiv1110.5921R"
    }
  }
}