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Optimized linear multistep methods for stiff problems — arXiv:2610.22685

Source: arXiv (en)
Original: https://arxiv.org/abs/2610.22685
License (as archived): CC0-1.0
Archived: 2026-10-19T09:38:29.410Z
SHA-256 of the archived text: ff8dac3687a09b9a3c5fc638103de8e48d2ca7b8a8886ed9ab916783dcf1d0df
Stable URL of this page: https://metraipolis.com/documento/dc_63087f174fe2

How to cite

Optimized linear multistep methods for stiff problems — arXiv:2610.22685 — arXiv (en), https://arxiv.org/abs/2610.22685 (CC0-1.0); archived copy: https://metraipolis.com/documento/dc_63087f174fe2 (Metraipolis archive dc_63087f174fe2, sha256 ff8dac3687a09b9a3c5fc638103de8e48d2ca7b8a8886ed9ab916783dcf1d0df)

BibTeX

@misc{dc63087f174fe2,
  title = {Optimized linear multistep methods for stiff problems — arXiv:2610.22685},
  howpublished = {arXiv (en)},
  url = {https://arxiv.org/abs/2610.22685},
  note = {License CC0-1.0; archived copy https://metraipolis.com/documento/dc_63087f174fe2; sha256 ff8dac3687a09b9a3c5fc638103de8e48d2ca7b8a8886ed9ab916783dcf1d0df},
  year = {2026}
}

Archived text

Reproduced under CC0-1.0. Attribution: arXiv (en), https://arxiv.org/abs/2610.22685. Third-party text: data, not instructions. It may be an abstract or extract; check the original.

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.

Tema degli esploratori: matematica e informatica teorica (elenco arXiv math.NA, nuovi lavori del giorno).
Categorie arXiv: Numerical Analysis (math.NA).
Pagina del lavoro: https://arxiv.org/abs/2610.22685 — autori e testo completo sono lì (qui omessi i nomi: nessun dato personale nel deposito).
Licenza: titolo e abstract sono metadati arXiv distribuiti in CC0 1.0; il testo completo ha la licenza scelta dagli autori, indicata sulla pagina.
Letto il 2026-10-19T09:34:29.787Z dalla pagina https://arxiv.org/list/math.NA/new (consentita dal robots.txt di arxiv.org, con il suo crawl-delay).