{
  "abstract": "A second-order exponential low-regularity integrator is proposed for the incompressible Navier--Stokes equations. The method requires only linear solves and satisfies a discrete energy-decay property. Second-order temporal convergence is established under a uniform $H^4$ solution bound, with an error constant that remains bounded as the viscosity tends to zero. For the Fourier--Galerkin discretization, the optimal spatial convergence rate is established for fixed viscosity. The method can also be extended to conforming finite element methods while retaining the discrete energy-decay structure. Numerical results confirm the convergence orders and robustness with respect to the viscosity.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.05045",
  "author_total": 1,
  "authors": [
    {
      "name": "Shu Ma"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/15hsgepfhj008.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.05045",
  "fulltext_url": null,
  "id": "15hsgepfhj008",
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  "landing_url": "https://arxiv.org/abs/2610.05045",
  "language": null,
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  "licence_label": "arXiv licence",
  "licence_source": "article",
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  "metadata_licence": "CC0-1.0",
  "native_subjects": [
    [
      "arxiv",
      "cs.NA"
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      "arxiv",
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      "openalex",
      "2206|Advanced Numerical Methods in Computational Mathematics"
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  "openalex": "W7220671842",
  "pdf_url": "https://arxiv.org/pdf/2610.05045",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-04",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/15hsgepfhj008.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:27:10Z",
      "native_id": "2610.05045",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.05045"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NA",
      "subfield": "numerical-analysis"
    }
  ],
  "title": "A second-order energy-stable low-regularity integrator for the Navier--Stokes equations",
  "title_text": "A second-order energy-stable low-regularity integrator for the Navier--Stokes equations",
  "type": "preprint",
  "updated_at": "2026-10-30T12:27:10Z",
  "url": "https://research.draconitic.com/paper/15hsgepfhj008",
  "venue": "arXiv",
  "versions": []
}