---
_id: '4617'
author:
- first_name: Karim
  full_name: Abdelhak, Karim
  last_name: Abdelhak
- 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/161280999
citation:
  alphadin: '<span style="font-variant:small-caps;">Abdelhak, Karim</span> ; <span
    style="font-variant:small-caps;">Casella, Francesco</span> ; <span style="font-variant:small-caps;">Bachmann,
    Bernhard</span>: Pseudo Array Causalization. In: <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. 177–188'
  ama: 'Abdelhak K, Casella F, Bachmann B. Pseudo Array Causalization. In: <i>Proceedings
    of the 15th International Modelica Conference 2023, Aachen, October 9-11</i>.
    Vol 204. Linköping Electronic Conference Proceedings. Linköping University Electronic
    Press; 2023:177-188. doi:<a href="https://doi.org/10.3384/ecp204177">10.3384/ecp204177</a>'
  apa: 'Abdelhak, K., Casella, F., &#38; Bachmann, B. (2023). Pseudo Array Causalization.
    In <i>Proceedings of the 15th International Modelica Conference 2023, Aachen,
    October 9-11</i> (Vol. 204, pp. 177–188). Aachen: Linköping University Electronic
    Press. <a href="https://doi.org/10.3384/ecp204177">https://doi.org/10.3384/ecp204177</a>'
  bibtex: '@inproceedings{Abdelhak_Casella_Bachmann_2023, series={Linköping Electronic
    Conference Proceedings}, title={Pseudo Array Causalization}, volume={204}, DOI={<a
    href="https://doi.org/10.3384/ecp204177">10.3384/ecp204177</a>}, booktitle={Proceedings
    of the 15th International Modelica Conference 2023, Aachen, October 9-11}, publisher={Linköping
    University Electronic Press}, author={Abdelhak, Karim and Casella, Francesco and
    Bachmann, Bernhard}, year={2023}, pages={177–188}, collection={Linköping Electronic
    Conference Proceedings} }'
  chicago: Abdelhak, Karim, Francesco Casella, and Bernhard Bachmann. “Pseudo Array
    Causalization.” In <i>Proceedings of the 15th International Modelica Conference
    2023, Aachen, October 9-11</i>, 204:177–88. Linköping Electronic Conference Proceedings.
    Linköping University Electronic Press, 2023. <a href="https://doi.org/10.3384/ecp204177">https://doi.org/10.3384/ecp204177</a>.
  ieee: K. Abdelhak, F. Casella, and B. Bachmann, “Pseudo Array Causalization,” in
    <i>Proceedings of the 15th International Modelica Conference 2023, Aachen, October
    9-11</i>, Aachen, 2023, vol. 204, pp. 177–188.
  mla: Abdelhak, Karim, et al. “Pseudo Array Causalization.” <i>Proceedings of the
    15th International Modelica Conference 2023, Aachen, October 9-11</i>, vol. 204,
    Linköping University Electronic Press, 2023, pp. 177–88, doi:<a href="https://doi.org/10.3384/ecp204177">10.3384/ecp204177</a>.
  short: 'K. Abdelhak, F. Casella, B. Bachmann, in: Proceedings of the 15th International
    Modelica Conference 2023, Aachen, October 9-11, Linköping University Electronic
    Press, 2023, pp. 177–188.'
conference:
  end_date: 2023-10-11
  location: Aachen
  name: 15th International Modelica Conference 2023
  start_date: 2023-10-09
date_created: 2024-05-29T10:03:24Z
date_updated: 2026-03-17T15:29:03Z
doi: 10.3384/ecp204177
intvolume: '       204'
language:
- iso: eng
page: 177-188
project:
- _id: f432a2ee-bceb-11ed-a251-a83585c5074d
  name: Institute for Data Science Solutions
publication: Proceedings of the 15th International Modelica Conference 2023, Aachen,
  October 9-11
publication_identifier:
  eissn:
  - 1650-3740
  isbn:
  - 978-91-8075-505-4
  issn:
  - 1650-3686
publication_status: published
publisher: Linköping University Electronic Press
series_title: Linköping Electronic Conference Proceedings
status: public
title: Pseudo Array Causalization
tmp:
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  name: Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)
  short: CC BY (4.0)
type: conference
user_id: '220548'
volume: 204
year: '2023'
...
---
_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
file:
- access_level: open_access
  content_type: application/pdf
  creator: phannebohm
  date_created: 2026-03-10T10:37:58Z
  date_updated: 2026-03-10T10:37:58Z
  file_id: '6801'
  file_name: ecp204275_HeuermannHannebohmSchaferBachmann.pdf
  file_size: 1023711
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file_date_updated: 2026-03-10T10:37:58Z
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intvolume: '       204'
language:
- iso: eng
oa: '1'
page: 275-284
project:
- _id: f432a2ee-bceb-11ed-a251-a83585c5074d
  name: Institute for Data Science Solutions
publication: Proceedings of the 15th International Modelica Conference 2023, Aachen,
  October 9-11
publication_identifier:
  eissn:
  - 1650-3740
  isbn:
  - 978-91-8075-505-4
  issn:
  - 1650-3686
publication_status: published
publisher: Linköping University Electronic Press
quality_controlled: '1'
series_title: Linköping Electronic Conference Proceedings
status: public
title: Accelerating the simulation of equation-based models by replacing non-linear
  algebraic loops with error-controlled machine learning surrogates
tmp:
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...
---
_id: '1526'
alternative_id:
- '1528'
author:
- first_name: Willi
  full_name: Braun, Willi
  last_name: Braun
- first_name: Kshitij
  full_name: Kulshreshtha, Kshitij
  last_name: Kulshreshtha
- first_name: Rüdiger
  full_name: Franke, Rüdiger
  last_name: Franke
- first_name: Andrea
  full_name: Walther, Andrea
  last_name: Walther
- first_name: Bernhard
  full_name: Bachmann, Bernhard
  id: '33931'
  last_name: Bachmann
  orcid: 0000-0002-4339-0438
citation:
  alphadin: '<span style="font-variant:small-caps;">Braun, Willi</span> ; <span style="font-variant:small-caps;">Kulshreshtha,
    Kshitij</span> ; <span style="font-variant:small-caps;">Franke, Rüdiger</span>
    ; <span style="font-variant:small-caps;">Walther, Andrea</span> ; <span style="font-variant:small-caps;">Bachmann,
    Bernhard</span>: Towards Adjoint and Directional Derivatives in FMI utilizing
    ADOL-C within OpenModelica. In: <i>Proceedings of the 12th International Modelica
    Conference, Prague, Czech Republic, May 15-17, 2017</i>, <i>Linköping Electronic
    Conference Proceedings</i>. Bd. 132 : Linköping University Electronic Press, 2017,
    S. 363–366'
  ama: 'Braun W, Kulshreshtha K, Franke R, Walther A, Bachmann B. Towards Adjoint
    and Directional Derivatives in FMI utilizing ADOL-C within OpenModelica. In: <i>Proceedings
    of the 12th International Modelica Conference, Prague, Czech Republic, May 15-17,
    2017</i>. Vol 132. Linköping Electronic Conference Proceedings. Linköping University
    Electronic Press; 2017:363-366. doi:<a href="https://doi.org/10.3384/ecp17132363">10.3384/ecp17132363</a>'
  apa: 'Braun, W., Kulshreshtha, K., Franke, R., Walther, A., &#38; Bachmann, B. (2017).
    Towards Adjoint and Directional Derivatives in FMI utilizing ADOL-C within OpenModelica.
    In <i>Proceedings of the 12th International Modelica Conference, Prague, Czech
    Republic, May 15-17, 2017</i> (Vol. 132, pp. 363–366). Prague: Linköping University
    Electronic Press. <a href="https://doi.org/10.3384/ecp17132363">https://doi.org/10.3384/ecp17132363</a>'
  bibtex: '@inproceedings{Braun_Kulshreshtha_Franke_Walther_Bachmann_2017, series={Linköping
    Electronic Conference Proceedings}, title={Towards Adjoint and Directional Derivatives
    in FMI utilizing ADOL-C within OpenModelica}, volume={132}, DOI={<a href="https://doi.org/10.3384/ecp17132363">10.3384/ecp17132363</a>},
    booktitle={Proceedings of the 12th International Modelica Conference, Prague,
    Czech Republic, May 15-17, 2017}, publisher={Linköping University Electronic Press},
    author={Braun, Willi and Kulshreshtha, Kshitij and Franke, Rüdiger and Walther,
    Andrea and Bachmann, Bernhard}, year={2017}, pages={363–366}, collection={Linköping
    Electronic Conference Proceedings} }'
  chicago: Braun, Willi, Kshitij Kulshreshtha, Rüdiger Franke, Andrea Walther, and
    Bernhard Bachmann. “Towards Adjoint and Directional Derivatives in FMI Utilizing
    ADOL-C within OpenModelica.” In <i>Proceedings of the 12th International Modelica
    Conference, Prague, Czech Republic, May 15-17, 2017</i>, 132:363–66. Linköping
    Electronic Conference Proceedings. Linköping University Electronic Press, 2017.
    <a href="https://doi.org/10.3384/ecp17132363">https://doi.org/10.3384/ecp17132363</a>.
  ieee: W. Braun, K. Kulshreshtha, R. Franke, A. Walther, and B. Bachmann, “Towards
    Adjoint and Directional Derivatives in FMI utilizing ADOL-C within OpenModelica,”
    in <i>Proceedings of the 12th International Modelica Conference, Prague, Czech
    Republic, May 15-17, 2017</i>, Prague, 2017, vol. 132, pp. 363–366.
  mla: Braun, Willi, et al. “Towards Adjoint and Directional Derivatives in FMI Utilizing
    ADOL-C within OpenModelica.” <i>Proceedings of the 12th International Modelica
    Conference, Prague, Czech Republic, May 15-17, 2017</i>, vol. 132, Linköping University
    Electronic Press, 2017, pp. 363–66, doi:<a href="https://doi.org/10.3384/ecp17132363">10.3384/ecp17132363</a>.
  short: 'W. Braun, K. Kulshreshtha, R. Franke, A. Walther, B. Bachmann, in: Proceedings
    of the 12th International Modelica Conference, Prague, Czech Republic, May 15-17,
    2017, Linköping University Electronic Press, 2017, pp. 363–366.'
conference:
  end_date: 2017-05-17
  location: Prague
  name: The 12th International Modelica Conference, Prague, Czech Republic, May 15-17,
    2017
  start_date: 2017-05-15
date_created: 2021-11-09T14:54:12Z
date_updated: 2026-03-17T15:28:22Z
doi: 10.3384/ecp17132363
intvolume: '       132'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://2017.international.conference.modelica.org/proceedings/html/submissions/ecp17132363_BraunKulshreshthaFrankeBachmannWalther.pdf
oa: '1'
page: 363-366
publication: Proceedings of the 12th International Modelica Conference, Prague, Czech
  Republic, May 15-17, 2017
publication_identifier:
  eissn:
  - 1650-3740
  isbn:
  - '9789176855751'
  issn:
  - 1650-3686
publication_status: published
publisher: Linköping University Electronic Press
series_title: Linköping Electronic Conference Proceedings
status: public
title: Towards Adjoint and Directional Derivatives in FMI utilizing ADOL-C within
  OpenModelica
type: conference
user_id: '43795'
volume: 132
year: '2017'
...
