{
  "abstract": "We present a high-order, positivity preserving, and asymptotic preserving approximation of the gray radiative transfer equations. The time and space approximation is done using a diagonally-implicit Runge-Kutta method with stabilized, continuous finite elements, and the angular approximation uses the method of discrete ordinates. We detail a simple and robust inner/outer iteration strategy to solve these equations and prove that the proposed scheme is exactly conservative, independent of iterative tolerances. A maximum and minimum principle is enforced using a conservative redistribution limiting technique, and the method is demonstrated to be robust in the thick diffusion limit.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.41967",
  "author_total": 3,
  "authors": [
    {
      "name": "Jean-Luc Guermond"
    },
    {
      "name": "Wyatt M. R. Smith"
    },
    {
      "name": "Eric J. Tovar"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/dzyq6h4sj79xa.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.41967",
  "fulltext_url": null,
  "id": "dzyq6h4sj79xa",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.41967",
  "language": null,
  "licence": "LicenseRef-arXiv-nonexclusive-1.0",
  "licence_label": "arXiv licence",
  "licence_source": "article",
  "licence_url": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cs.NA"
    ],
    [
      "arxiv",
      "math.NA"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://arxiv.org/pdf/2610.41967",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-30",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/dzyq6h4sj79xa.ris",
  "sources": [
    {
      "first_seen": "2026-11-02T12:21:20Z",
      "native_id": "2610.41967",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.41967"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NA",
      "subfield": "numerical-analysis"
    }
  ],
  "title": "A Robust High-order Approximation of the Gray Thermal Radiative Transfer Equations",
  "title_text": "A Robust High-order Approximation of the Gray Thermal Radiative Transfer Equations",
  "type": "preprint",
  "updated_at": "2026-11-04T15:20:53Z",
  "url": "https://research.draconitic.com/paper/dzyq6h4sj79xa",
  "venue": "arXiv",
  "versions": []
}