[{"doi":"10.1007/s10915-025-03049-y","intvolume":"       105","date_updated":"2026-03-17T15:29:30Z","publisher":"Springer Science and Business Media LLC","citation":{"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.","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","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} }","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>","short":"B. Bachmann, L. Bonaventura, F. Casella, S. Fernández-García, M. Gómez-Mármol, P. Hannebohm, Journal of Scientific Computing 105 (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>.","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>.","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>"},"author":[{"last_name":"Bachmann","orcid":"0000-0002-4339-0438","full_name":"Bachmann, Bernhard","first_name":"Bernhard","orcid_put_code_url":"https://api.orcid.org/v2.0/0000-0002-4339-0438/work/202504183","id":"33931"},{"last_name":"Bonaventura","full_name":"Bonaventura, Luca","first_name":"Luca"},{"last_name":"Casella","full_name":"Casella, Francesco","first_name":"Francesco"},{"first_name":"Soledad","last_name":"Fernández-García","full_name":"Fernández-García, Soledad"},{"last_name":"Gómez-Mármol","full_name":"Gómez-Mármol, Macarena","first_name":"Macarena"},{"full_name":"Hannebohm, Philip","orcid":"0009-0003-8902-9079","last_name":"Hannebohm","id":"221456","orcid_put_code_url":"https://api.orcid.org/v2.0/0009-0003-8902-9079/work/202504184","first_name":"Philip"}],"status":"public","article_number":"30","_id":"6445","year":"2025","language":[{"iso":"eng"}],"date_created":"2026-01-14T16:03:23Z","title":"Self-Adjusting Multi-Rate Runge-Kutta Methods: Analysis and Efficient Implementation in An Open Source Framework","article_type":"original","volume":105,"issue":"1","publication_status":"published","publication":"Journal of Scientific Computing","oa":"1","tmp":{"short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png"},"publication_identifier":{"eissn":["1573-7691"],"issn":["0885-7474"]},"type":"journal_article","main_file_link":[{"open_access":"1"}],"user_id":"263827"},{"_id":"6448","year":"2025","language":[{"iso":"eng"}],"citation":{"chicago":"Brandt, Felix, Andreas Heuermann, Philip Hannebohm, and Bernhard Bachmann. “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).","mla":"Brandt, Felix, et al. “Residual-Informed Learning of Solutions to Algebraic Loops.” <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.","ieee":"F. Brandt, A. Heuermann, P. Hannebohm, and B. Bachmann, “Residual-Informed Learning of Solutions to Algebraic Loops,” <i>arXiv:2510.09317</i>. 2025.","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)","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} }","apa":"Brandt, F., Heuermann, A., Hannebohm, P., &#38; Bachmann, B. (2025). Residual-Informed Learning of Solutions to Algebraic Loops. <i>ArXiv:2510.09317</i>."},"author":[{"first_name":"Felix","last_name":"Brandt","full_name":"Brandt, Felix"},{"last_name":"Heuermann","full_name":"Heuermann, Andreas","first_name":"Andreas"},{"orcid_put_code_url":"https://api.orcid.org/v2.0/0009-0003-8902-9079/work/202504693","id":"221456","first_name":"Philip","full_name":"Hannebohm, Philip","orcid":"0009-0003-8902-9079","last_name":"Hannebohm"},{"id":"33931","orcid_put_code_url":"https://api.orcid.org/v2.0/0000-0002-4339-0438/work/202504694","first_name":"Bernhard","full_name":"Bachmann, Bernhard","orcid":"0000-0002-4339-0438","last_name":"Bachmann"}],"status":"public","date_updated":"2026-03-17T15:29:30Z","oa":"1","type":"preprint","main_file_link":[{"open_access":"1"}],"user_id":"263827","publication":"arXiv:2510.09317","date_created":"2026-01-14T16:09:00Z","title":"Residual-Informed Learning of Solutions to Algebraic Loops"},{"year":"2025","_id":"6449","language":[{"iso":"eng"}],"intvolume":"       218","doi":"10.3384/ecp218109","publisher":"Linköping University Electronic Press","date_updated":"2026-03-17T15:29:30Z","author":[{"last_name":"Casella","full_name":"Casella, Francesco","first_name":"Francesco"},{"last_name":"Bachmann","full_name":"Bachmann, Bernhard","orcid":"0000-0002-4339-0438","orcid_put_code_url":"https://api.orcid.org/v2.0/0000-0002-4339-0438/work/202504612","id":"33931","first_name":"Bernhard"},{"full_name":"Abdelhak, Karim","last_name":"Abdelhak","first_name":"Karim"},{"orcid":"0009-0003-8902-9079","full_name":"Hannebohm, Philip","last_name":"Hannebohm","first_name":"Philip","id":"221456","orcid_put_code_url":"https://api.orcid.org/v2.0/0009-0003-8902-9079/work/202504613"},{"full_name":"Van der Stelt, Teus","last_name":"Van der Stelt","first_name":"Teus"}],"citation":{"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>","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.","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>.","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} }","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","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."},"conference":{"name":"The 16th International Modelica&FMI Conference, September 8 – 10, 2025, Lucerne University of Applied Sciences and Arts (HSLU)"},"status":"public","publication":"Proceedings of the 16th International Modelica&FMI Conference, September 8 – 10, 2025, Lucerne University of Applied Sciences and Arts (HSLU)","publication_status":"published","series_title":"Linköping Electronic Conference Proceedings","type":"conference","publication_identifier":{"eisbn":["978-91-8118-266-8"]},"oa":"1","user_id":"263827","main_file_link":[{"open_access":"1"}],"title":"Diagnosing Newton’s Solver Convergence Failures in the Initialization of Modelica Models","date_created":"2026-01-14T16:10:30Z","volume":218},{"user_id":"263827","file":[{"access_level":"open_access","file_id":"6358","relation":"main_file","content_type":"application/pdf","file_name":"paper.pdf","file_size":149702,"date_created":"2025-12-01T13:55:19Z","creator":"phannebohm","success":1,"date_updated":"2025-12-01T13:55:19Z"}],"publication_identifier":{"eisbn":["978-91-8118-266-8"]},"type":"conference_abstract","publication":"Proceedings of the 16th International Modelica&FMI Conference","department":[{"_id":"103"}],"quality_controlled":"1","volume":218,"date_created":"2025-12-01T13:48:57Z","title":"Selective Evaluation of RHS during Multi-Rate Simulation","file_date_updated":"2025-12-01T13:55:19Z","year":"2025","status":"public","conference":{"name":"The 16th International Modelica&FMI Conference","location":"Lucerne","start_date":"2025-09-08","end_date":"2025-09-10"},"page":"943–947","doi":"10.3384/ecp218943","intvolume":"       218","tmp":{"short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png"},"has_accepted_license":"1","oa":"1","urn":"urn:nbn:de:hbz:bi10-63570","keyword":["Equation-based modelling","Multi-rate simulation","Structural analysis"],"series_title":"Linköping Electronic Conference Proceedings","publication_status":"published","language":[{"iso":"eng"}],"_id":"6357","editor":[{"full_name":"Zimmer, Dirk","last_name":"Zimmer","first_name":"Dirk"},{"last_name":"Müller","full_name":"Müller, Ulf Christian","first_name":"Ulf Christian"}],"citation":{"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.","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} }","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","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.","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>.","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>","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>."},"author":[{"last_name":"Hannebohm","full_name":"Hannebohm, Philip","orcid":"0009-0003-8902-9079","orcid_put_code_url":"https://api.orcid.org/v2.0/0009-0003-8902-9079/work/198431201","id":"221456","first_name":"Philip"},{"full_name":"Bachmann, Bernhard","orcid":"0000-0002-4339-0438","last_name":"Bachmann","orcid_put_code_url":"https://api.orcid.org/v2.0/0000-0002-4339-0438/work/198431202","id":"33931","first_name":"Bernhard"}],"date_updated":"2026-03-17T15:29:29Z","publisher":"Linköping University Electronic Press"},{"doi":"10.3384/ecp218445","intvolume":"       218","date_updated":"2026-03-17T15:29:29Z","page":"445 - 457","publisher":"Linköping University Electronic Press","citation":{"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.","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} }","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","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.","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>.","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>","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>."},"author":[{"first_name":"Linus","orcid_put_code_url":"https://api.orcid.org/v2.0/0009-0009-7517-4842/work/198540284","id":"240430","last_name":"Langenkamp","orcid":"0009-0009-7517-4842","full_name":"Langenkamp, Linus"},{"first_name":"Philip","id":"221456","orcid_put_code_url":"https://api.orcid.org/v2.0/0009-0003-8902-9079/work/198540286","orcid":"0009-0003-8902-9079","full_name":"Hannebohm, Philip","last_name":"Hannebohm"},{"first_name":"Bernhard","orcid_put_code_url":"https://api.orcid.org/v2.0/0000-0002-4339-0438/work/198540287","id":"33931","orcid":"0000-0002-4339-0438","full_name":"Bachmann, Bernhard","last_name":"Bachmann"}],"status":"public","conference":{"name":"The 16th International Modelica&FMI Conference","location":"Luzern","end_date":"2025-09-10","start_date":"2025-09-08"},"_id":"6359","editor":[{"first_name":"Dirk","last_name":"Zimmer","full_name":"Zimmer, Dirk"},{"full_name":"Müller, Ulf Christian","last_name":"Müller","first_name":"Ulf Christian"}],"year":"2025","language":[{"iso":"eng"}],"date_created":"2025-12-02T13:49:45Z","file_date_updated":"2025-12-02T13:48:28Z","title":"Efficient Training of Physics-enhanced Neural ODEs via Direct Collocation and Nonlinear Programming","volume":218,"department":[{"_id":"103"}],"urn":"urn:nbn:de:hbz:bi10-63592","keyword":["Physics-enhanced Neural ODEs","Dynamic Optimization","Nonlinear Programming","Modelica","NeuralODEs","Universal Differential Equations"],"publication":"Proceedings of the 16th International Modelica&FMI Conference","publication_status":"published","tmp":{"short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png"},"has_accepted_license":"1","oa":"1","type":"conference","file":[{"access_level":"open_access","relation":"main_file","file_id":"6360","file_name":"paper.pdf","file_size":11486460,"content_type":"application/pdf","date_updated":"2025-12-02T13:48:28Z","success":1,"date_created":"2025-12-02T13:48:28Z","creator":"llangenkamp"}],"main_file_link":[{"open_access":"1"}],"user_id":"240430"},{"citation":{"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} }","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>","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","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.","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>","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>.","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>.","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."},"author":[{"first_name":"Andreas","last_name":"Heuermann","full_name":"Heuermann, Andreas"},{"full_name":"Hannebohm, Philip","orcid":"0009-0003-8902-9079","last_name":"Hannebohm","id":"221456","orcid_put_code_url":"https://api.orcid.org/v2.0/0009-0003-8902-9079/work/161055467","first_name":"Philip"},{"first_name":"Matthias","full_name":"Schäfer, Matthias","last_name":"Schäfer"},{"first_name":"Bernhard","orcid_put_code_url":"https://api.orcid.org/v2.0/0000-0002-4339-0438/work/161055468","id":"33931","last_name":"Bachmann","orcid":"0000-0002-4339-0438","full_name":"Bachmann, Bernhard"}],"publisher":"Linköping University Electronic Press","date_updated":"2026-03-17T15:29:03Z","language":[{"iso":"eng"}],"editor":[{"first_name":"Dirk ","full_name":"Müller, Dirk ","last_name":"Müller"},{"first_name":"Antonello ","last_name":"Monti","full_name":"Monti, Antonello "},{"full_name":"Benigni, Andrea ","last_name":"Benigni","first_name":"Andrea "}],"_id":"4618","has_accepted_license":"1","tmp":{"short":"CC BY (4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","image":"/images/cc_by.png"},"oa":"1","project":[{"_id":"f432a2ee-bceb-11ed-a251-a83585c5074d","name":"Institute for Data Science Solutions"}],"series_title":"Linköping Electronic Conference Proceedings","publication_status":"published","urn":"urn:nbn:de:hbz:bi10-46183","conference":{"location":"Aachen","name":"15th International Modelica Conference 2023","end_date":"2023-10-11","start_date":"2023-10-09"},"status":"public","page":"275-284","intvolume":"       204","doi":"10.3384/ecp204275","year":"2023","quality_controlled":"1","volume":204,"file_date_updated":"2026-03-10T10:37:58Z","title":"Accelerating the simulation of equation-based models by replacing non-linear algebraic loops with error-controlled machine learning surrogates","date_created":"2024-05-29T10:04:12Z","user_id":"221456","type":"conference","file":[{"access_level":"open_access","relation":"main_file","file_id":"6801","file_size":1023711,"file_name":"ecp204275_HeuermannHannebohmSchaferBachmann.pdf","content_type":"application/pdf","success":1,"date_updated":"2026-03-10T10:37:58Z","date_created":"2026-03-10T10:37:58Z","creator":"phannebohm"}],"publication_identifier":{"issn":["1650-3686"],"eissn":["1650-3740"],"isbn":["978-91-8075-505-4"]},"publication":"Proceedings of the 15th International Modelica Conference 2023, Aachen, October 9-11"},{"year":"2023","_id":"4620","language":[{"iso":"eng"}],"author":[{"last_name":"Heuermann","full_name":"Heuermann, Andreas","first_name":"Andreas"},{"orcid_put_code_url":"https://api.orcid.org/v2.0/0009-0003-8902-9079/work/161055991","id":"221456","first_name":"Philip","last_name":"Hannebohm","full_name":"Hannebohm, Philip","orcid":"0009-0003-8902-9079"},{"first_name":"Matthias","last_name":"Schäfer","full_name":"Schäfer, Matthias"},{"last_name":"Bachmann","orcid":"0000-0002-4339-0438","full_name":"Bachmann, Bernhard","first_name":"Bernhard","orcid_put_code_url":"https://api.orcid.org/v2.0/0000-0002-4339-0438/work/161055992","id":"33931"}],"citation":{"short":"A. Heuermann, P. Hannebohm, M. Schäfer, B. Bachmann, in: Unpublished, 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>.","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>","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>.","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.","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} }","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"},"conference":{"location":"Bielefeld","name":"KI@HSBI 2023 Kongress","end_date":"2023-11-30","start_date":"2023-11-30"},"status":"public","doi":"10.13140/RG.2.2.11838.70729","publisher":"Unpublished","date_updated":"2026-03-17T15:29:03Z","type":"conference_abstract","file":[{"content_type":"application/pdf","file_size":545448,"file_name":"Fehlerkorrigierende_ML-Surrogate_zur_Beschleunigung_nichtlinearer_Gleichungssysteme_in_Modelica_Simulationen.pdf","creator":"bbachmann","date_created":"2024-05-29T10:28:33Z","date_updated":"2024-05-29T10:28:33Z","success":1,"access_level":"open_access","relation":"main_file","file_id":"4625"}],"tmp":{"short":"CC BY-SA (4.0)","legal_code_url":"https://creativecommons.org/licenses/by-sa/4.0/legalcode","name":"Creative Commons Attribution-ShareAlike 4.0 International Public License (CC BY-SA 4.0)","image":"/images/cc_by_sa.png"},"oa":"1","project":[{"name":"Institute for Data Science Solutions","_id":"f432a2ee-bceb-11ed-a251-a83585c5074d"}],"has_accepted_license":"1","user_id":"220548","urn":"urn:nbn:de:hbz:bi10-46202","title":"Fehlerkontrollierte ML-Surrogate zur beschleunigten Simulation nichtlinearer Gleichungssysteme in Modelica","file_date_updated":"2024-05-29T10:28:33Z","date_created":"2024-05-29T10:06:06Z"}]