{
  "id": "2103.12273",
  "version": "v1",
  "published": "2021-03-23T02:46:15.000Z",
  "updated": "2021-03-23T02:46:15.000Z",
  "title": "An alternative reconstruction for WENO schemes with adaptive order",
  "authors": [
    "Hua Shen"
  ],
  "categories": [
    "math.NA",
    "cs.NA",
    "physics.comp-ph"
  ],
  "abstract": "We propose an alternative reconstruction for weighted essentially non-oscillatory schemes with adaptive order (WENO-AO) for solving hyperbolic conservation laws. The alternative reconstruction has a more concise form than the original WENO-AO reconstruction. Moreover, it is a strictly convex combination of polynomials with unequal degrees. Numerical examples show that the alternative reconstruction maintains the accuracy and robustness of the WENO-AO schemes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2021-03-23T02:46:15.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "adaptive order",
      "weno schemes",
      "solving hyperbolic conservation laws",
      "original weno-ao reconstruction",
      "unequal degrees"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}