{
  "abstract": "Focusing on scalar conservation laws, a TVD theory is developed for the fully discrete, single-stage Active Flux method. The classical choice of degrees of freedom is considered, yielding a third-order method. Starting from an adaptation of the concept of (discrete) total variation to Active Flux, a corresponding adaptation of Harten's lemma is achieved. Finally, the high-order method is endowed with parameters chosen such that they can be efficiently computed to fulfill the conditions of the lemma.",
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  "arxiv": "2610.05920",
  "author_total": 1,
  "authors": [
    {
      "name": "Wasilij Barsukow"
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  "doi": "10.48550/arxiv.2610.05920",
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  "id": "69a3r7ck13stt",
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  "pmcid": null,
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  "published": "2026-10-05",
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  "ris": "https://research.draconitic.com/paper/69a3r7ck13stt.ris",
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      "first_seen": "2026-10-30T12:17:54Z",
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  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NA",
      "subfield": "numerical-analysis"
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  "title": "A TVD Active Flux method for scalar conservation laws",
  "title_text": "A TVD Active Flux method for scalar conservation laws",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:10Z",
  "url": "https://research.draconitic.com/paper/69a3r7ck13stt",
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