{
  "abstract": "We design and test several new optimized linear multistep methods for stiff problems. Each method is A-stable, implicit, and second-order accurate. We focus on achieving the smallest possible error constant while also ensuring that stiff modes are damped. We recover some known optimal L-stable three- and four-step methods, and provide new and improved five-step methods. We also develop new methods that are not L-stable but provide a prescribed rate of damping in the infinitely stiff limit. Variable-step-size formulae are also provided for some of the new methods. Numerical tests demonstrate that the improved error constants lead to improved accuracy.",
  "abstract_shown": true,
  "affiliations": [],
  "article_type": null,
  "arxiv": "2610.22685",
  "author_total": 3,
  "authors": [
    {
      "name": "Tyler Jensen"
    },
    {
      "name": "David I Ketcheson"
    },
    {
      "name": "Lajos Lóczi"
    }
  ],
  "bibtex": "https://research.draconitic.com/paper/dqcqfm2bz7vwm.bib",
  "cited_by": 0,
  "doi": "10.48550/arxiv.2610.22685",
  "fulltext_url": null,
  "id": "dqcqfm2bz7vwm",
  "issns": [],
  "landing_url": "https://arxiv.org/abs/2610.22685",
  "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|Numerical methods for differential equations"
    ]
  ],
  "openalex": "W7222914647",
  "pdf_url": "https://arxiv.org/pdf/2610.22685",
  "pmcid": null,
  "pmid": null,
  "published": "2026-10-15",
  "publisher": null,
  "ris": "https://research.draconitic.com/paper/dqcqfm2bz7vwm.ris",
  "sources": [
    {
      "first_seen": "2026-10-30T12:30:37Z",
      "native_id": "2610.22685",
      "source": "arxiv",
      "url": "https://arxiv.org/abs/2610.22685"
    }
  ],
  "subjects": [
    {
      "field": "mathematics",
      "origin": "arxiv:math.NA",
      "subfield": "numerical-analysis"
    }
  ],
  "title": "Optimized linear multistep methods for stiff problems",
  "title_text": "Optimized linear multistep methods for stiff problems",
  "type": "preprint",
  "updated_at": "2026-10-30T12:33:31Z",
  "url": "https://research.draconitic.com/paper/dqcqfm2bz7vwm",
  "venue": "arXiv",
  "versions": []
}