---
_id: '7257'
abstract:
- lang: eng
  text: Solving inverse static initialization problems, in which the outputs of a
    process are prescribed, is often more numerically challenging than solving direct
    initialization problem, where inputs are fixed instead. This paper proposes the
    introduction of a new initialSimplified() operator in Modelica, which allows to
    solve inverse problems with the same reliability as direct problems, using an
    intuitive, straightforward Modelica formulation. The proposed solution can be
    trivially implemented in Modelica tools and will be 100% portable among them,
    once the new operator is standardized. The usefulness of the proposed approach
    is demonstrated on a conceptual thermal power generation plant model.
author:
- first_name: Francesco
  full_name: Casella, Francesco
  last_name: Casella
- 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/231825701
- first_name: Matteo Luigi De
  full_name: Pascali, Matteo Luigi De
  last_name: Pascali
conference:
  end_date: 2026-09-22
  location: Hangzhou, China
  name: Asian Modelica & FMI Conference
  start_date: 2026-09-20
date_created: 2026-10-31T14:00:35Z
date_updated: 2026-10-31T14:01:59Z
department:
- _id: '103'
doi: 10.3384/ecp22331
file:
- access_level: open_access
  content_type: application/pdf
  creator: phannebohm
  date_created: 2026-10-31T13:55:33Z
  date_updated: 2026-10-31T13:55:33Z
  file_id: '7258'
  file_name: AMFC2026_paper_T1S2P1.pdf
  file_size: 413909
  relation: main_file
  success: 1
file_date_updated: 2026-10-31T13:55:33Z
has_accepted_license: '1'
intvolume: '       223'
keyword:
- Modelica language
- initialization
- homotopy
- convergence problems
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://ecp.ep.liu.se/index.php/modelica/article/view/1653
oa: '1'
publication: Proceedings of the Asian Modelica & FMI Conference Hangzhou, China, September
  20-22, 2026
publication_identifier:
  eisbn:
  - 978-91-8118-699-4
publication_status: published
publisher: Linköping University Electronic Press
quality_controlled: '1'
series_title: Linköping Electronic Conference Proceedings
status: public
title: 'Robust solution of inverse static problems in Modelica: the case for the initialSimplified()
  operator'
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: conference
urn: urn:nbn:de:hbz:bi10-72570
user_id: '221456'
volume: 223
year: '2026'
...
---
_id: '6449'
author:
- first_name: Francesco
  full_name: Casella, Francesco
  last_name: Casella
- 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/202504612
- first_name: Karim
  full_name: Abdelhak, Karim
  last_name: Abdelhak
- 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/202504613
- first_name: Teus
  full_name: Van der Stelt, Teus
  last_name: Van der Stelt
citation:
  alphadin: '<span style="font-variant:small-caps;">Casella, Francesco</span> ; <span
    style="font-variant:small-caps;">Bachmann, Bernhard</span> ; <span style="font-variant:small-caps;">Abdelhak,
    Karim</span> ; <span style="font-variant:small-caps;">Hannebohm, Philip</span>
    ; <span style="font-variant:small-caps;">Van der Stelt, Teus</span>: Diagnosing
    Newton’s Solver Convergence Failures in the Initialization of Modelica Models.
    In: <i>Proceedings of the 16th International Modelica&#38;FMI Conference, September
    8 – 10, 2025, Lucerne University of Applied Sciences and Arts (HSLU)</i>, <i>Linköping
    Electronic Conference Proceedings</i>. Bd. 218 : Linköping University Electronic
    Press, 2025'
  ama: 'Casella F, Bachmann B, Abdelhak K, Hannebohm P, Van der Stelt T. Diagnosing
    Newton’s Solver Convergence Failures in the Initialization of Modelica Models.
    In: <i>Proceedings of the 16th International Modelica&#38;FMI Conference, September
    8 – 10, 2025, Lucerne University of Applied Sciences and Arts (HSLU)</i>. Vol
    218. Linköping Electronic Conference Proceedings. Linköping University Electronic
    Press; 2025. doi:<a href="https://doi.org/10.3384/ecp218109">10.3384/ecp218109</a>'
  apa: Casella, F., Bachmann, B., Abdelhak, K., Hannebohm, P., &#38; Van der Stelt,
    T. (2025). Diagnosing Newton’s Solver Convergence Failures in the Initialization
    of Modelica Models. In <i>Proceedings of the 16th International Modelica&#38;FMI
    Conference, September 8 – 10, 2025, Lucerne University of Applied Sciences and
    Arts (HSLU)</i> (Vol. 218). Linköping University Electronic Press. <a href="https://doi.org/10.3384/ecp218109">https://doi.org/10.3384/ecp218109</a>
  bibtex: '@inproceedings{Casella_Bachmann_Abdelhak_Hannebohm_Van der Stelt_2025,
    series={Linköping Electronic Conference Proceedings}, title={Diagnosing Newton’s
    Solver Convergence Failures in the Initialization of Modelica Models}, volume={218},
    DOI={<a href="https://doi.org/10.3384/ecp218109">10.3384/ecp218109</a>}, booktitle={Proceedings
    of the 16th International Modelica&#38;FMI Conference, September 8 – 10, 2025,
    Lucerne University of Applied Sciences and Arts (HSLU)}, publisher={Linköping
    University Electronic Press}, author={Casella, Francesco and Bachmann, Bernhard
    and Abdelhak, Karim and Hannebohm, Philip and Van der Stelt, Teus}, year={2025},
    collection={Linköping Electronic Conference Proceedings} }'
  chicago: Casella, Francesco, Bernhard Bachmann, Karim Abdelhak, Philip Hannebohm,
    and Teus Van der Stelt. “Diagnosing Newton’s Solver Convergence Failures in the
    Initialization of Modelica Models.” In <i>Proceedings of the 16th International
    Modelica&#38;FMI Conference, September 8 – 10, 2025, Lucerne University of Applied
    Sciences and Arts (HSLU)</i>, Vol. 218. Linköping Electronic Conference Proceedings.
    Linköping University Electronic Press, 2025. <a href="https://doi.org/10.3384/ecp218109">https://doi.org/10.3384/ecp218109</a>.
  ieee: F. Casella, B. Bachmann, K. Abdelhak, P. Hannebohm, and T. Van der Stelt,
    “Diagnosing Newton’s Solver Convergence Failures in the Initialization of Modelica
    Models,” in <i>Proceedings of the 16th International Modelica&#38;FMI Conference,
    September 8 – 10, 2025, Lucerne University of Applied Sciences and Arts (HSLU)</i>,
    2025, vol. 218.
  mla: Casella, Francesco, et al. “Diagnosing Newton’s Solver Convergence Failures
    in the Initialization of Modelica Models.” <i>Proceedings of the 16th International
    Modelica&#38;FMI Conference, September 8 – 10, 2025, Lucerne University of Applied
    Sciences and Arts (HSLU)</i>, vol. 218, Linköping University Electronic Press,
    2025, doi:<a href="https://doi.org/10.3384/ecp218109">10.3384/ecp218109</a>.
  short: 'F. Casella, B. Bachmann, K. Abdelhak, P. Hannebohm, T. Van der Stelt, in:
    Proceedings of the 16th International Modelica&#38;FMI Conference, September 8
    – 10, 2025, Lucerne University of Applied Sciences and Arts (HSLU), Linköping
    University Electronic Press, 2025.'
conference:
  name: The 16th International Modelica&FMI Conference, September 8 – 10, 2025, Lucerne
    University of Applied Sciences and Arts (HSLU)
date_created: 2026-01-14T16:10:30Z
date_updated: 2026-06-09T07:27:07Z
doi: 10.3384/ecp218109
intvolume: '       218'
language:
- iso: eng
main_file_link:
- open_access: '1'
oa: '1'
project:
- _id: f432a2ee-bceb-11ed-a251-a83585c5074d
  name: Institute for Data Science Solutions
publication: Proceedings of the 16th International Modelica&FMI Conference, September
  8 – 10, 2025, Lucerne University of Applied Sciences and Arts (HSLU)
publication_identifier:
  eisbn:
  - 978-91-8118-266-8
publication_status: published
publisher: Linköping University Electronic Press
series_title: Linköping Electronic Conference Proceedings
status: public
title: Diagnosing Newton’s Solver Convergence Failures in the Initialization of Modelica
  Models
type: conference
user_id: '250307'
volume: 218
year: '2025'
...
---
_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: 2026-06-09T07:23:49Z
doi: 10.1007/s10915-025-03049-y
intvolume: '       105'
issue: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
oa: '1'
project:
- _id: f432a2ee-bceb-11ed-a251-a83585c5074d
  name: Institute for Data Science Solutions
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: '250307'
volume: 105
year: '2025'
...
---
_id: '6359'
author:
- first_name: Linus
  full_name: Langenkamp, Linus
  id: '240430'
  last_name: Langenkamp
  orcid: 0009-0009-7517-4842
  orcid_put_code_url: https://api.orcid.org/v2.0/0009-0009-7517-4842/work/198540284
- 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/198540286
- 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/198540287
citation:
  alphadin: '<span style="font-variant:small-caps;">Langenkamp, Linus</span> ; <span
    style="font-variant:small-caps;">Hannebohm, Philip</span> ; <span style="font-variant:small-caps;">Bachmann,
    Bernhard</span>: Efficient Training of Physics-enhanced Neural ODEs via Direct
    Collocation and Nonlinear Programming. In: <span style="font-variant:small-caps;">Zimmer,
    D.</span> ; <span style="font-variant:small-caps;">Müller, U. C.</span> (Hrsg.):
    <i>Proceedings of the 16th International Modelica&#38;FMI Conference</i>. Bd.
    218 : Linköping University Electronic Press, 2025, S. 445–457'
  ama: 'Langenkamp L, Hannebohm P, Bachmann B. Efficient Training of Physics-enhanced
    Neural ODEs via Direct Collocation and Nonlinear Programming. In: Zimmer D, Müller
    UC, eds. <i>Proceedings of the 16th International Modelica&#38;FMI Conference</i>.
    Vol 218. Linköping University Electronic Press; 2025:445-457. doi:<a href="https://doi.org/10.3384/ecp218445">10.3384/ecp218445</a>'
  apa: 'Langenkamp, L., Hannebohm, P., &#38; Bachmann, B. (2025). Efficient Training
    of Physics-enhanced Neural ODEs via Direct Collocation and Nonlinear Programming.
    In D. Zimmer &#38; U. C. Müller (Eds.), <i>Proceedings of the 16th International
    Modelica&#38;FMI Conference</i> (Vol. 218, pp. 445–457). Luzern: Linköping University
    Electronic Press. <a href="https://doi.org/10.3384/ecp218445">https://doi.org/10.3384/ecp218445</a>'
  bibtex: '@inproceedings{Langenkamp_Hannebohm_Bachmann_2025, title={Efficient Training
    of Physics-enhanced Neural ODEs via Direct Collocation and Nonlinear Programming},
    volume={218}, DOI={<a href="https://doi.org/10.3384/ecp218445">10.3384/ecp218445</a>},
    booktitle={Proceedings of the 16th International Modelica&#38;FMI Conference},
    publisher={Linköping University Electronic Press}, author={Langenkamp, Linus and
    Hannebohm, Philip and Bachmann, Bernhard}, editor={Zimmer, Dirk and Müller, Ulf
    ChristianEditors}, year={2025}, pages={445–457} }'
  chicago: Langenkamp, Linus, Philip Hannebohm, and Bernhard Bachmann. “Efficient
    Training of Physics-Enhanced Neural ODEs via Direct Collocation and Nonlinear
    Programming.” In <i>Proceedings of the 16th International Modelica&#38;FMI Conference</i>,
    edited by Dirk Zimmer and Ulf Christian Müller, 218:445–57. Linköping University
    Electronic Press, 2025. <a href="https://doi.org/10.3384/ecp218445">https://doi.org/10.3384/ecp218445</a>.
  ieee: L. Langenkamp, P. Hannebohm, and B. Bachmann, “Efficient Training of Physics-enhanced
    Neural ODEs via Direct Collocation and Nonlinear Programming,” in <i>Proceedings
    of the 16th International Modelica&#38;FMI Conference</i>, Luzern, 2025, vol.
    218, pp. 445–457.
  mla: Langenkamp, Linus, et al. “Efficient Training of Physics-Enhanced Neural ODEs
    via Direct Collocation and Nonlinear Programming.” <i>Proceedings of the 16th
    International Modelica&#38;FMI Conference</i>, edited by Dirk Zimmer and Ulf Christian
    Müller, vol. 218, Linköping University Electronic Press, 2025, pp. 445–57, doi:<a
    href="https://doi.org/10.3384/ecp218445">10.3384/ecp218445</a>.
  short: 'L. Langenkamp, P. Hannebohm, B. Bachmann, in: D. Zimmer, U.C. Müller (Eds.),
    Proceedings of the 16th International Modelica&#38;FMI Conference, Linköping University
    Electronic Press, 2025, pp. 445–457.'
conference:
  end_date: 2025-09-10
  location: Luzern
  name: The 16th International Modelica&FMI Conference
  start_date: 2025-09-08
date_created: 2025-12-02T13:49:45Z
date_updated: 2026-06-09T07:22:33Z
department:
- _id: '103'
doi: 10.3384/ecp218445
editor:
- first_name: Dirk
  full_name: Zimmer, Dirk
  last_name: Zimmer
- first_name: Ulf Christian
  full_name: Müller, Ulf Christian
  last_name: Müller
file:
- access_level: open_access
  content_type: application/pdf
  creator: llangenkamp
  date_created: 2025-12-02T13:48:28Z
  date_updated: 2025-12-02T13:48:28Z
  file_id: '6360'
  file_name: paper.pdf
  file_size: 11486460
  relation: main_file
  success: 1
file_date_updated: 2025-12-02T13:48:28Z
has_accepted_license: '1'
intvolume: '       218'
keyword:
- Physics-enhanced Neural ODEs
- Dynamic Optimization
- Nonlinear Programming
- Modelica
- NeuralODEs
- Universal Differential Equations
language:
- iso: eng
main_file_link:
- open_access: '1'
oa: '1'
page: 445 - 457
project:
- _id: f432a2ee-bceb-11ed-a251-a83585c5074d
  name: Institute for Data Science Solutions
publication: Proceedings of the 16th International Modelica&FMI Conference
publication_status: published
publisher: Linköping University Electronic Press
status: public
title: Efficient Training of Physics-enhanced Neural ODEs via Direct Collocation and
  Nonlinear Programming
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: conference
urn: urn:nbn:de:hbz:bi10-63592
user_id: '250307'
volume: 218
year: '2025'
...
---
_id: '6448'
author:
- first_name: Felix
  full_name: Brandt, Felix
  last_name: Brandt
- first_name: Andreas
  full_name: Heuermann, Andreas
  last_name: Heuermann
- 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/202504693
- 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/202504694
citation:
  alphadin: '<span style="font-variant:small-caps;">Brandt, Felix</span> ; <span style="font-variant:small-caps;">Heuermann,
    Andreas</span> ; <span style="font-variant:small-caps;">Hannebohm, Philip</span>
    ; <span style="font-variant:small-caps;">Bachmann, Bernhard</span>: Residual-Informed
    Learning of Solutions to Algebraic Loops. In: <i>arXiv:2510.09317</i> (2025)'
  ama: Brandt F, Heuermann A, Hannebohm P, Bachmann B. Residual-Informed Learning
    of Solutions to Algebraic Loops. <i>arXiv:251009317</i>. 2025.
  apa: Brandt, F., Heuermann, A., Hannebohm, P., &#38; Bachmann, B. (2025). Residual-Informed
    Learning of Solutions to Algebraic Loops. <i>ArXiv:2510.09317</i>.
  bibtex: '@article{Brandt_Heuermann_Hannebohm_Bachmann_2025, title={Residual-Informed
    Learning of Solutions to Algebraic Loops}, journal={arXiv:2510.09317}, author={Brandt,
    Felix and Heuermann, Andreas and Hannebohm, Philip and Bachmann, Bernhard}, year={2025}
    }'
  chicago: Brandt, Felix, Andreas Heuermann, Philip Hannebohm, and Bernhard Bachmann.
    “Residual-Informed Learning of Solutions to Algebraic Loops.” <i>ArXiv:2510.09317</i>,
    2025.
  ieee: F. Brandt, A. Heuermann, P. Hannebohm, and B. Bachmann, “Residual-Informed
    Learning of Solutions to Algebraic Loops,” <i>arXiv:2510.09317</i>. 2025.
  mla: Brandt, Felix, et al. “Residual-Informed Learning of Solutions to Algebraic
    Loops.” <i>ArXiv:2510.09317</i>, 2025.
  short: F. Brandt, A. Heuermann, P. Hannebohm, B. Bachmann, ArXiv:2510.09317 (2025).
date_created: 2026-01-14T16:09:00Z
date_updated: 2026-06-09T07:22:01Z
language:
- iso: eng
main_file_link:
- open_access: '1'
oa: '1'
project:
- _id: f432a2ee-bceb-11ed-a251-a83585c5074d
  name: Institute for Data Science Solutions
publication: arXiv:2510.09317
status: public
title: Residual-Informed Learning of Solutions to Algebraic Loops
type: preprint
user_id: '250307'
year: '2025'
...
---
_id: '6357'
author:
- 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/198431201
- 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/198431202
citation:
  alphadin: '<span style="font-variant:small-caps;">Hannebohm, Philip</span> ; <span
    style="font-variant:small-caps;">Bachmann, Bernhard</span>: Selective Evaluation
    of RHS during Multi-Rate Simulation. In: <span style="font-variant:small-caps;">Zimmer,
    D.</span> ; <span style="font-variant:small-caps;">Müller, U. C.</span> (Hrsg.):
    <i>Proceedings of the 16th International Modelica&#38;FMI Conference</i>, <i>Linköping
    Electronic Conference Proceedings</i>. Bd. 218 : Linköping University Electronic
    Press, 2025, S. 943–947'
  ama: 'Hannebohm P, Bachmann B. Selective Evaluation of RHS during Multi-Rate Simulation.
    In: Zimmer D, Müller UC, eds. <i>Proceedings of the 16th International Modelica&#38;FMI
    Conference</i>. Vol 218. Linköping Electronic Conference Proceedings. Linköping
    University Electronic Press; 2025:943–947. doi:<a href="https://doi.org/10.3384/ecp218943">10.3384/ecp218943</a>'
  apa: 'Hannebohm, P., &#38; Bachmann, B. (2025). Selective Evaluation of RHS during
    Multi-Rate Simulation. In D. Zimmer &#38; U. C. Müller (Eds.), <i>Proceedings
    of the 16th International Modelica&#38;FMI Conference</i> (Vol. 218, pp. 943–947).
    Lucerne: Linköping University Electronic Press. <a href="https://doi.org/10.3384/ecp218943">https://doi.org/10.3384/ecp218943</a>'
  bibtex: '@inproceedings{Hannebohm_Bachmann_2025, series={Linköping Electronic Conference
    Proceedings}, title={Selective Evaluation of RHS during Multi-Rate Simulation},
    volume={218}, DOI={<a href="https://doi.org/10.3384/ecp218943">10.3384/ecp218943</a>},
    booktitle={Proceedings of the 16th International Modelica&#38;FMI Conference},
    publisher={Linköping University Electronic Press}, author={Hannebohm, Philip and
    Bachmann, Bernhard}, editor={Zimmer, Dirk and Müller, Ulf ChristianEditors}, year={2025},
    pages={943–947}, collection={Linköping Electronic Conference Proceedings} }'
  chicago: Hannebohm, Philip, and Bernhard Bachmann. “Selective Evaluation of RHS
    during Multi-Rate Simulation.” In <i>Proceedings of the 16th International Modelica&#38;FMI
    Conference</i>, edited by Dirk Zimmer and Ulf Christian Müller, 218:943–947. Linköping
    Electronic Conference Proceedings. Linköping University Electronic Press, 2025.
    <a href="https://doi.org/10.3384/ecp218943">https://doi.org/10.3384/ecp218943</a>.
  ieee: P. Hannebohm and B. Bachmann, “Selective Evaluation of RHS during Multi-Rate
    Simulation,” in <i>Proceedings of the 16th International Modelica&#38;FMI Conference</i>,
    Lucerne, 2025, vol. 218, pp. 943–947.
  mla: Hannebohm, Philip, and Bernhard Bachmann. “Selective Evaluation of RHS during
    Multi-Rate Simulation.” <i>Proceedings of the 16th International Modelica&#38;FMI
    Conference</i>, edited by Dirk Zimmer and Ulf Christian Müller, vol. 218, Linköping
    University Electronic Press, 2025, pp. 943–947, doi:<a href="https://doi.org/10.3384/ecp218943">10.3384/ecp218943</a>.
  short: 'P. Hannebohm, B. Bachmann, in: D. Zimmer, U.C. Müller (Eds.), Proceedings
    of the 16th International Modelica&#38;FMI Conference, Linköping University Electronic
    Press, 2025, pp. 943–947.'
conference:
  end_date: 2025-09-10
  location: Lucerne
  name: The 16th International Modelica&FMI Conference
  start_date: 2025-09-08
date_created: 2025-12-01T13:48:57Z
date_updated: 2026-06-09T07:21:38Z
department:
- _id: '103'
doi: 10.3384/ecp218943
editor:
- first_name: Dirk
  full_name: Zimmer, Dirk
  last_name: Zimmer
- first_name: Ulf Christian
  full_name: Müller, Ulf Christian
  last_name: Müller
file:
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intvolume: '       218'
keyword:
- Equation-based modelling
- Multi-rate simulation
- Structural analysis
language:
- iso: eng
oa: '1'
page: 943–947
project:
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  name: Institute for Data Science Solutions
publication: Proceedings of the 16th International Modelica&FMI Conference
publication_identifier:
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publisher: Linköping University Electronic Press
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series_title: Linköping Electronic Conference Proceedings
status: public
title: Selective Evaluation of RHS during Multi-Rate Simulation
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---
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author:
- first_name: Andreas
  full_name: Heuermann, Andreas
  last_name: Heuermann
- 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/161055991
- first_name: Matthias
  full_name: Schäfer, Matthias
  last_name: Schäfer
- 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/161055992
citation:
  alphadin: '<span style="font-variant:small-caps;">Heuermann, Andreas</span> ; <span
    style="font-variant:small-caps;">Hannebohm, Philip</span> ; <span style="font-variant:small-caps;">Schäfer,
    Matthias</span> ; <span style="font-variant:small-caps;">Bachmann, Bernhard</span>:
    Fehlerkontrollierte ML-Surrogate zur beschleunigten Simulation nichtlinearer Gleichungssysteme
    in Modelica. In:  : Unpublished, 2023'
  ama: 'Heuermann A, Hannebohm P, Schäfer M, Bachmann B. Fehlerkontrollierte ML-Surrogate
    zur beschleunigten Simulation nichtlinearer Gleichungssysteme in Modelica. In:
    Unpublished; 2023. doi:<a href="https://doi.org/10.13140/RG.2.2.11838.70729">10.13140/RG.2.2.11838.70729</a>'
  apa: 'Heuermann, A., Hannebohm, P., Schäfer, M., &#38; Bachmann, B. (2023). Fehlerkontrollierte
    ML-Surrogate zur beschleunigten Simulation nichtlinearer Gleichungssysteme in
    Modelica. Presented at the KI@HSBI 2023 Kongress, Bielefeld: Unpublished. <a href="https://doi.org/10.13140/RG.2.2.11838.70729">https://doi.org/10.13140/RG.2.2.11838.70729</a>'
  bibtex: '@inproceedings{Heuermann_Hannebohm_Schäfer_Bachmann_2023, title={Fehlerkontrollierte
    ML-Surrogate zur beschleunigten Simulation nichtlinearer Gleichungssysteme in
    Modelica}, DOI={<a href="https://doi.org/10.13140/RG.2.2.11838.70729">10.13140/RG.2.2.11838.70729</a>},
    publisher={Unpublished}, author={Heuermann, Andreas and Hannebohm, Philip and
    Schäfer, Matthias and Bachmann, Bernhard}, year={2023} }'
  chicago: Heuermann, Andreas, Philip Hannebohm, Matthias Schäfer, and Bernhard Bachmann.
    “Fehlerkontrollierte ML-Surrogate Zur Beschleunigten Simulation Nichtlinearer
    Gleichungssysteme in Modelica.” Unpublished, 2023. <a href="https://doi.org/10.13140/RG.2.2.11838.70729">https://doi.org/10.13140/RG.2.2.11838.70729</a>.
  ieee: A. Heuermann, P. Hannebohm, M. Schäfer, and B. Bachmann, “Fehlerkontrollierte
    ML-Surrogate zur beschleunigten Simulation nichtlinearer Gleichungssysteme in
    Modelica,” presented at the KI@HSBI 2023 Kongress, Bielefeld, 2023.
  mla: Heuermann, Andreas, et al. <i>Fehlerkontrollierte ML-Surrogate Zur Beschleunigten
    Simulation Nichtlinearer Gleichungssysteme in Modelica</i>. Unpublished, 2023,
    doi:<a href="https://doi.org/10.13140/RG.2.2.11838.70729">10.13140/RG.2.2.11838.70729</a>.
  short: 'A. Heuermann, P. Hannebohm, M. Schäfer, B. Bachmann, in: Unpublished, 2023.'
conference:
  end_date: 2023-11-30
  location: Bielefeld
  name: KI@HSBI 2023 Kongress
  start_date: 2023-11-30
date_created: 2024-05-29T10:06:06Z
date_updated: 2026-07-06T12:17:38Z
doi: 10.13140/RG.2.2.11838.70729
file:
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  content_type: application/pdf
  creator: bbachmann
  date_created: 2024-05-29T10:28:33Z
  date_updated: 2024-05-29T10:28:33Z
  file_id: '4625'
  file_name: Fehlerkorrigierende_ML-Surrogate_zur_Beschleunigung_nichtlinearer_Gleichungssysteme_in_Modelica_Simulationen.pdf
  file_size: 545448
  relation: main_file
  success: 1
file_date_updated: 2024-05-29T10:28:33Z
has_accepted_license: '1'
language:
- iso: eng
oa: '1'
project:
- _id: f432a2ee-bceb-11ed-a251-a83585c5074d
  name: Institute for Data Science Solutions
publisher: Unpublished
status: public
title: Fehlerkontrollierte ML-Surrogate zur beschleunigten Simulation nichtlinearer
  Gleichungssysteme in Modelica
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type: conference_abstract
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...
---
_id: '4618'
author:
- first_name: Andreas
  full_name: Heuermann, Andreas
  last_name: Heuermann
- 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/161055467
- first_name: Matthias
  full_name: Schäfer, Matthias
  last_name: Schäfer
- 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/161055468
citation:
  alphadin: '<span style="font-variant:small-caps;">Heuermann, Andreas</span> ; <span
    style="font-variant:small-caps;">Hannebohm, Philip</span> ; <span style="font-variant:small-caps;">Schäfer,
    Matthias</span> ; <span style="font-variant:small-caps;">Bachmann, Bernhard</span>:
    Accelerating the simulation of equation-based models by replacing non-linear algebraic
    loops with error-controlled machine learning surrogates. In: <span style="font-variant:small-caps;">Müller,
    D.</span> ; <span style="font-variant:small-caps;">Monti, A.</span> ; <span style="font-variant:small-caps;">Benigni,
    A.</span> (Hrsg.): <i>Proceedings of the 15th International Modelica Conference
    2023, Aachen, October 9-11</i>, <i>Linköping Electronic Conference Proceedings</i>.
    Bd. 204 : Linköping University Electronic Press, 2023, S. 275–284'
  ama: 'Heuermann A, Hannebohm P, Schäfer M, Bachmann B. Accelerating the simulation
    of equation-based models by replacing non-linear algebraic loops with error-controlled
    machine learning surrogates. In: Müller D, Monti A, Benigni A, eds. <i>Proceedings
    of the 15th International Modelica Conference 2023, Aachen, October 9-11</i>.
    Vol 204. Linköping Electronic Conference Proceedings. Linköping University Electronic
    Press; 2023:275-284. doi:<a href="https://doi.org/10.3384/ecp204275">10.3384/ecp204275</a>'
  apa: 'Heuermann, A., Hannebohm, P., Schäfer, M., &#38; Bachmann, B. (2023). Accelerating
    the simulation of equation-based models by replacing non-linear algebraic loops
    with error-controlled machine learning surrogates. In D. Müller, A. Monti, &#38;
    A. Benigni (Eds.), <i>Proceedings of the 15th International Modelica Conference
    2023, Aachen, October 9-11</i> (Vol. 204, pp. 275–284). Aachen: Linköping University
    Electronic Press. <a href="https://doi.org/10.3384/ecp204275">https://doi.org/10.3384/ecp204275</a>'
  bibtex: '@inproceedings{Heuermann_Hannebohm_Schäfer_Bachmann_2023, series={Linköping
    Electronic Conference Proceedings}, title={Accelerating the simulation of equation-based
    models by replacing non-linear algebraic loops with error-controlled machine learning
    surrogates}, volume={204}, DOI={<a href="https://doi.org/10.3384/ecp204275">10.3384/ecp204275</a>},
    booktitle={Proceedings of the 15th International Modelica Conference 2023, Aachen,
    October 9-11}, publisher={Linköping University Electronic Press}, author={Heuermann,
    Andreas and Hannebohm, Philip and Schäfer, Matthias and Bachmann, Bernhard}, editor={Müller,
    Dirk  and Monti, Antonello  and Benigni, Andrea Editors}, year={2023}, pages={275–284},
    collection={Linköping Electronic Conference Proceedings} }'
  chicago: Heuermann, Andreas, Philip Hannebohm, Matthias Schäfer, and Bernhard Bachmann.
    “Accelerating the Simulation of Equation-Based Models by Replacing Non-Linear
    Algebraic Loops with Error-Controlled Machine Learning Surrogates.” In <i>Proceedings
    of the 15th International Modelica Conference 2023, Aachen, October 9-11</i>,
    edited by Dirk  Müller, Antonello  Monti, and Andrea  Benigni, 204:275–84. Linköping
    Electronic Conference Proceedings. Linköping University Electronic Press, 2023.
    <a href="https://doi.org/10.3384/ecp204275">https://doi.org/10.3384/ecp204275</a>.
  ieee: A. Heuermann, P. Hannebohm, M. Schäfer, and B. Bachmann, “Accelerating the
    simulation of equation-based models by replacing non-linear algebraic loops with
    error-controlled machine learning surrogates,” in <i>Proceedings of the 15th International
    Modelica Conference 2023, Aachen, October 9-11</i>, Aachen, 2023, vol. 204, pp.
    275–284.
  mla: Heuermann, Andreas, et al. “Accelerating the Simulation of Equation-Based Models
    by Replacing Non-Linear Algebraic Loops with Error-Controlled Machine Learning
    Surrogates.” <i>Proceedings of the 15th International Modelica Conference 2023,
    Aachen, October 9-11</i>, edited by Dirk  Müller et al., vol. 204, Linköping University
    Electronic Press, 2023, pp. 275–84, doi:<a href="https://doi.org/10.3384/ecp204275">10.3384/ecp204275</a>.
  short: 'A. Heuermann, P. Hannebohm, M. Schäfer, B. Bachmann, in: D. Müller, A. Monti,
    A. Benigni (Eds.), Proceedings of the 15th International Modelica Conference 2023,
    Aachen, October 9-11, Linköping University Electronic Press, 2023, pp. 275–284.'
conference:
  end_date: 2023-10-11
  location: Aachen
  name: 15th International Modelica Conference 2023
  start_date: 2023-10-09
date_created: 2024-05-29T10:04:12Z
date_updated: 2026-03-17T15:29:03Z
doi: 10.3384/ecp204275
editor:
- first_name: 'Dirk '
  full_name: 'Müller, Dirk '
  last_name: Müller
- first_name: 'Antonello '
  full_name: 'Monti, Antonello '
  last_name: Monti
- first_name: 'Andrea '
  full_name: 'Benigni, Andrea '
  last_name: Benigni
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page: 275-284
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  name: Institute for Data Science Solutions
publication: Proceedings of the 15th International Modelica Conference 2023, Aachen,
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  issn:
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publisher: Linköping University Electronic Press
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status: public
title: Accelerating the simulation of equation-based models by replacing non-linear
  algebraic loops with error-controlled machine learning surrogates
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...
