---
_id: '6445'
article_number: '30'
article_type: original
author:
- first_name: Bernhard
  full_name: Bachmann, Bernhard
  id: '33931'
  last_name: Bachmann
  orcid: 0000-0002-4339-0438
  orcid_put_code_url: https://api.orcid.org/v2.0/0000-0002-4339-0438/work/202504183
- first_name: Luca
  full_name: Bonaventura, Luca
  last_name: Bonaventura
- first_name: Francesco
  full_name: Casella, Francesco
  last_name: Casella
- first_name: Soledad
  full_name: Fernández-García, Soledad
  last_name: Fernández-García
- first_name: Macarena
  full_name: Gómez-Mármol, Macarena
  last_name: Gómez-Mármol
- first_name: Philip
  full_name: Hannebohm, Philip
  id: '221456'
  last_name: Hannebohm
  orcid: 0009-0003-8902-9079
  orcid_put_code_url: https://api.orcid.org/v2.0/0009-0003-8902-9079/work/202504184
citation:
  alphadin: '<span style="font-variant:small-caps;">Bachmann, Bernhard</span> ; <span
    style="font-variant:small-caps;">Bonaventura, Luca</span> ; <span style="font-variant:small-caps;">Casella,
    Francesco</span> ; <span style="font-variant:small-caps;">Fernández-García, Soledad</span>
    ; <span style="font-variant:small-caps;">Gómez-Mármol, Macarena</span> ; <span
    style="font-variant:small-caps;">Hannebohm, Philip</span>: Self-Adjusting Multi-Rate
    Runge-Kutta Methods: Analysis and Efficient Implementation in An Open Source Framework.
    In: <i>Journal of Scientific Computing</i> Bd. 105, Springer Science and Business
    Media LLC (2025), Nr. 1'
  ama: 'Bachmann B, Bonaventura L, Casella F, Fernández-García S, Gómez-Mármol M,
    Hannebohm P. Self-Adjusting Multi-Rate Runge-Kutta Methods: Analysis and Efficient
    Implementation in An Open Source Framework. <i>Journal of Scientific Computing</i>.
    2025;105(1). doi:<a href="https://doi.org/10.1007/s10915-025-03049-y">10.1007/s10915-025-03049-y</a>'
  apa: 'Bachmann, B., Bonaventura, L., Casella, F., Fernández-García, S., Gómez-Mármol,
    M., &#38; Hannebohm, P. (2025). Self-Adjusting Multi-Rate Runge-Kutta Methods:
    Analysis and Efficient Implementation in An Open Source Framework. <i>Journal
    of Scientific Computing</i>, <i>105</i>(1). <a href="https://doi.org/10.1007/s10915-025-03049-y">https://doi.org/10.1007/s10915-025-03049-y</a>'
  bibtex: '@article{Bachmann_Bonaventura_Casella_Fernández-García_Gómez-Mármol_Hannebohm_2025,
    title={Self-Adjusting Multi-Rate Runge-Kutta Methods: Analysis and Efficient Implementation
    in An Open Source Framework}, volume={105}, DOI={<a href="https://doi.org/10.1007/s10915-025-03049-y">10.1007/s10915-025-03049-y</a>},
    number={130}, journal={Journal of Scientific Computing}, publisher={Springer Science
    and Business Media LLC}, author={Bachmann, Bernhard and Bonaventura, Luca and
    Casella, Francesco and Fernández-García, Soledad and Gómez-Mármol, Macarena and
    Hannebohm, Philip}, year={2025} }'
  chicago: 'Bachmann, Bernhard, Luca Bonaventura, Francesco Casella, Soledad Fernández-García,
    Macarena Gómez-Mármol, and Philip Hannebohm. “Self-Adjusting Multi-Rate Runge-Kutta
    Methods: Analysis and Efficient Implementation in An Open Source Framework.” <i>Journal
    of Scientific Computing</i> 105, no. 1 (2025). <a href="https://doi.org/10.1007/s10915-025-03049-y">https://doi.org/10.1007/s10915-025-03049-y</a>.'
  ieee: 'B. Bachmann, L. Bonaventura, F. Casella, S. Fernández-García, M. Gómez-Mármol,
    and P. Hannebohm, “Self-Adjusting Multi-Rate Runge-Kutta Methods: Analysis and
    Efficient Implementation in An Open Source Framework,” <i>Journal of Scientific
    Computing</i>, vol. 105, no. 1, 2025.'
  mla: 'Bachmann, Bernhard, et al. “Self-Adjusting Multi-Rate Runge-Kutta Methods:
    Analysis and Efficient Implementation in An Open Source Framework.” <i>Journal
    of Scientific Computing</i>, vol. 105, no. 1, 30, Springer Science and Business
    Media LLC, 2025, doi:<a href="https://doi.org/10.1007/s10915-025-03049-y">10.1007/s10915-025-03049-y</a>.'
  short: B. Bachmann, L. Bonaventura, F. Casella, S. Fernández-García, M. Gómez-Mármol,
    P. Hannebohm, Journal of Scientific Computing 105 (2025).
date_created: 2026-01-14T16:03:23Z
date_updated: 2026-03-17T15:29:30Z
doi: 10.1007/s10915-025-03049-y
intvolume: '       105'
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
oa: '1'
publication: Journal of Scientific Computing
publication_identifier:
  eissn:
  - 1573-7691
  issn:
  - 0885-7474
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: 'Self-Adjusting Multi-Rate Runge-Kutta Methods: Analysis and Efficient Implementation
  in An Open Source Framework'
tmp:
  image: /images/cc_by.png
  legal_code_url: https://creativecommons.org/licenses/by/4.0/legalcode
  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: journal_article
user_id: '263827'
volume: 105
year: '2025'
...