{
  "id": "0811.2473",
  "version": "v1",
  "published": "2008-11-15T09:59:35.000Z",
  "updated": "2008-11-15T09:59:35.000Z",
  "title": "A New Methodology for the Development of Numerical Methods for the Numerical Solution of the Schrödinger Equation",
  "authors": [
    "Z. A. Anastassi",
    "D. S. Vlachos",
    "T. E. Simos"
  ],
  "comment": "38 pages, 29 figures",
  "categories": [
    "math.NA"
  ],
  "abstract": "In the present paper we introduce a new methodology for the construction of numerical methods for the approximate solution of the one-dimensional Schr\\\"odinger equation. The new methodology is based on the requirement of vanishing the phase-lag and its derivatives. The efficiency of the new methodology is proved via error analysis and numerical applications.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2008-11-15T09:59:35.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "65L05",
      "65L06",
      "81Q05"
    ],
    "keywords": [
      "numerical methods",
      "schrödinger equation",
      "methodology",
      "numerical solution",
      "development"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 38,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2008arXiv0811.2473A"
    }
  }
}