{
  "id": "0907.0693",
  "version": "v1",
  "published": "2009-07-03T18:43:27.000Z",
  "updated": "2009-07-03T18:43:27.000Z",
  "title": "A simple convergent solver for initial value problems",
  "authors": [
    "Rafael G. Campos",
    "Francisco Dominguez Mota"
  ],
  "comment": "13 pages",
  "categories": [
    "math.NA",
    "math.GN"
  ],
  "abstract": "We present a stable and convergent method for solving initial value problems based on the use of differentiation matrices obtained by Lagrange interpolation. This implicit multistep-like method is easy-to-use and performs pretty well in the solution of mildly stiff problems and it can also be applied directly to differential problems in the complex plane.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2009-07-03T18:43:27.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "65D25",
      "65L05",
      "65L20"
    ],
    "keywords": [
      "simple convergent solver",
      "solving initial value problems",
      "convergent method",
      "differentiation matrices",
      "complex plane"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 13,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2009arXiv0907.0693C"
    }
  }
}