{
  "id": "2303.11391",
  "version": "v1",
  "published": "2023-03-20T18:58:28.000Z",
  "updated": "2023-03-20T18:58:28.000Z",
  "title": "CAT-MOOD methods for conservation laws in one space dimension",
  "authors": [
    "R. Loubere",
    "E. Macca",
    "C. Pares",
    "G. Russo"
  ],
  "comment": "HYP20+22 Conference paper",
  "categories": [
    "math.NA",
    "cs.NA"
  ],
  "abstract": "In this paper we blend high-order Compact Approximate Taylor (CAT) numerical methods with the a posteriori Multi-dimensional Optimal Order Detection (MOOD) paradigm to solve hyperbolic systems of conservation laws. The resulting methods are highly accurate for smooth solutions, essentially non-oscillatory for discontinuous ones, and almost fail-safe positivity preserving. Some numerical results for scalar conservation laws and systems are presented to show the appropriate behavior of CAT-MOOD methods.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2023-03-20T18:58:28.000Z"
    }
  ],
  "analyses": {
    "keywords": [
      "conservation laws",
      "cat-mood methods",
      "space dimension",
      "blend high-order compact approximate taylor",
      "posteriori multi-dimensional optimal order detection"
    ],
    "tags": [
      "conference paper"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}