{
  "abstract": "In this work, the traditional third-order Active Flux advection scheme is modified by reformulating the method and introducing four additional parameters R, S, T, and U that allow the numerical dissipation and dispersion of the scheme to be adjusted. The influence of these parameters is studied using Fourier analysis and parameter choices that lead to schemes with improved dissipative properties are identified. These improvements are validated by numerical experiments.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2605.09669",
  "author_total": 3,
  "authors": [
    {
      "name": "Christian Klingenberg"
    },
    {
      "name": "Simon Krotsch"
    },
    {
      "name": "Philip Roe"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/2fz83ydeqd1z5.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2605.09669",
  "fulltext_url": null,
  "id": "2fz83ydeqd1z5",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2605.09669",
  "language": null,
  "licence": "CC-BY-NC-SA-4.0",
  "licence_label": "CC BY-NC-SA 4.0",
  "licence_source": "article",
  "licence_url": "http://creativecommons.org/licenses/by-nc-sa/4.0/",
  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cs.NA"
    ],
    [
      "arxiv",
      "math.NA"
    ],
    [
      "openalex",
      "2206|Computational Fluid Dynamics and Aerodynamics"
    ]
  ],
  "openalex": "W7160891650",
  "pdf_url": "https://arxiv.org/pdf/2605.09669",
  "pmcid": null,
  "pmid": null,
  "published": "2026-11-02",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/2fz83ydeqd1z5.ris",
  "sources": [
    {
      "first_seen": "2026-11-03T12:21:13Z",
      "native_id": "2605.09669",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2605.09669"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NA",
      "subfield": "numerical-analysis"
    }
  ],
  "title": "On Enhancing the Dissipative Behavior of Active Flux Advection Schemes",
  "title_text": "On Enhancing the Dissipative Behavior of Active Flux Advection Schemes",
  "type": "preprint",
  "updated_at": "2026-11-05T15:20:28Z",
  "url": "https://research.draconitic.com/paper/2fz83ydeqd1z5",
  "venue": "arXiv",
  "versions": []
}