{
  "abstract": "As for Galerkin approximations, the method of moments consists in reducing the number of test functions in a variational approach to a finite number, then performing an approximation of the solution such that the resulting reduced problem is well-posed. It is commonly used in kinetic theory, relying on physical considerations, but few error estimates are available in the literature. This paper provides a functional framework adapted to study the convergence of these methods. Its use is illustrated for the convergence study of a vector of moments toward a kinetic distribution, pointwise, on a homogeneous time-dependent problem, and on a 1D-1V problem.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": null,
  "author_total": 1,
  "authors": [
    {
      "name": "Teddy Pichard"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2fgw232z6h8x9.bib",
  "cited_by": 0,
  "doi": null,
  "fulltext_url": null,
  "id": "2fgw232z6h8x9",
  "issns": [],
  "landing_url": "https://hal.science/hal-05736689v1",
  "language": "en",
  "licence": "CC-BY-4.0",
  "licence_label": "CC BY 4.0",
  "licence_source": "article",
  "licence_url": "https://creativecommons.org/licenses/by/4.0/",
  "metadata_licence": null,
  "native_subjects": [
    [
      "hal",
      "0.math"
    ],
    [
      "hal",
      "1.math.math-na"
    ]
  ],
  "openalex": null,
  "pdf_url": "https://hal.science/hal-05736689/document",
  "pmcid": null,
  "pmid": null,
  "published": "2026-09-03",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2fgw232z6h8x9.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:17:27Z",
      "native_id": "hal-05736689",
      "source": "hal",
      "url": "https://hal.science/hal-05736689v1"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "hal:1.math.math-na",
      "subfield": "numerical-analysis"
    }
  ],
  "title": "Convergence analysis of moment-based approximations in kinetic theory",
  "title_text": "Convergence analysis of moment-based approximations in kinetic theory",
  "type": "preprint",
  "updated_at": "2026-10-30T12:17:27Z",
  "url": "https://research.draconitic.com/paper/2fgw232z6h8x9",
  "venue": "HAL",
  "versions": []
}