{
  "id": "1303.4115",
  "version": "v1",
  "published": "2013-03-17T22:20:44.000Z",
  "updated": "2013-03-17T22:20:44.000Z",
  "title": "On quasi-linear PDAEs with convection: applications, indices, numerical solution",
  "authors": [
    "Wenfried Lucht",
    "Kristian Debrabant"
  ],
  "journal": "Applied Numerical Mathematics 42 (2002) no. 1-3, pp. 297-314",
  "doi": "10.1016/S0168-9274(01)00157-X",
  "categories": [
    "math.NA"
  ],
  "abstract": "For a class of partial differential algebraic equations (PDAEs) of quasi-linear type which include nonlinear terms of convection type a possibility to determine a time and spatial index is considered. As a typical example we investigate an application from plasma physics. Especially we discuss the numerical solution of initial boundary value problems by means of a corresponding finite difference splitting procedure which is a modification of a well known fractional step method coupled with a matrix factorization. The convergence of the numerical solution towards the exact solution of the corresponding initial boundary value problem is investigated. Some results of a numerical solution of the plasma PDAE are given.",
  "revisions": [
    {
      "version": "v1",
      "updated": "2013-03-17T22:20:44.000Z"
    }
  ],
  "analyses": {
    "subjects": [
      "65M06",
      "65M10",
      "65M20"
    ],
    "keywords": [
      "numerical solution",
      "quasi-linear pdaes",
      "finite difference splitting procedure",
      "convection",
      "application"
    ],
    "tags": [
      "journal article"
    ],
    "note": {
      "typesetting": "TeX",
      "pages": 0,
      "language": "en",
      "license": "arXiv",
      "status": "editable",
      "adsabs": "2013arXiv1303.4115L"
    }
  }
}