{
  "abstract": "Cubature rules, which approximate definite integrals as a linear combination of a set of function values, are ubiquitous and necessary for computational methods in the physical sciences. A superconvergence result for cubature rules on polytopal domains in two and three dimensions is developed, whereby a rule that is exact for all bivariate polynomials of a fixed even degree realizes an extra order of convergence under a decrease in the spacing between nodes.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2608.28883",
  "author_total": 1,
  "authors": [
    {
      "name": "Jonah A. Reeger"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/d33egaezrz3cm.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2608.28883",
  "fulltext_url": null,
  "id": "d33egaezrz3cm",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2608.28883",
  "language": null,
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cs.NA"
    ],
    [
      "arxiv",
      "math.NA"
    ],
    [
      "openalex",
      "2612|Mathematical Approximation and Integration"
    ]
  ],
  "openalex": "W7204890283",
  "pdf_url": "https://arxiv.org/pdf/2608.28883",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-24",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/d33egaezrz3cm.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:24:15Z",
      "native_id": "2608.28883",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2608.28883"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NA",
      "subfield": "numerical-analysis"
    }
  ],
  "title": "A General Superconvergence Result for Cubature on Tesselated Polytopal Domains in Two and Three Dimensions",
  "title_text": "A General Superconvergence Result for Cubature on Tesselated Polytopal Domains in Two and Three Dimensions",
  "type": "preprint",
  "updated_at": "2026-10-30T12:24:15Z",
  "url": "https://research.draconitic.com/paper/d33egaezrz3cm",
  "venue": "arXiv",
  "versions": []
}