{
  "id": "1910.09080",
  "version": "v1",
  "published": "2019-10-20T23:21:36.000Z",
  "updated": "2019-10-20T23:21:36.000Z",
  "title": "Error estimate of a bi-fidelity method for kinetic equations with random parameters and multiple scales",
  "authors": [
    "Irene M. Gamba",
    "Shi Jin",
    "Liu Liu"
  ],
  "categories": [
    "math.NA",
    "cs.NA",
    "math-ph",
    "math.MP"
  ],
  "abstract": "In this paper, we conduct uniform error estimates of the bi-fidelity method for multi-scale kinetic equations. We take the Boltzmann and the linear transport equations as important examples. The main analytic tool is the hypocoercivity analysis for kinetic equations, considering solutions in a perturbative setting close to the global equilibrium. This allows us to obtain the error estimates in both kinetic and hydrodynamic regimes.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2019-10-20T23:21:36.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "35Q20",
      "65M70"
    ],
    "keywords": [
      "bi-fidelity method",
      "random parameters",
      "multiple scales",
      "conduct uniform error estimates",
      "multi-scale kinetic equations"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable"
    }
  }
}