{
  "id": "1808.02592",
  "version": "v1",
  "published": "2018-08-08T01:30:53.000Z",
  "updated": "2018-08-08T01:30:53.000Z",
  "title": "Performance Evaluation of an Extrapolation Method for Ordinary Differential Equations with Error-free Transformation",
  "authors": [
    "Tomonori Kouya"
  ],
  "categories": [
    "math.NA"
  ],
  "abstract": "Error-free transformation (EFT) is a set of techniques for multi-component multiple-precision libraries such as double-double and quadruple-double precision arithmetic library by Bailey et al. Rump demonstrated that EFT can also be applied as $K$-fold arithmetic. In this paper, we discuss the effectiveness of the extrapolation method with EFT.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2018-08-08T01:30:53.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "ordinary differential equations",
      "extrapolation method",
      "error-free transformation",
      "performance evaluation",
      "multi-component multiple-precision libraries"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}