[{"urn":"urn:nbn:de:hbz:bi10-72570","conference":{"end_date":"2026-09-22","name":"Asian Modelica & FMI Conference","location":"Hangzhou, China","start_date":"2026-09-20"},"doi":"10.3384/ecp22331","type":"conference","volume":223,"tmp":{"image":"/images/cc_by.png","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"file":[{"creator":"phannebohm","date_updated":"2026-10-31T13:55:33Z","success":1,"date_created":"2026-10-31T13:55:33Z","access_level":"open_access","file_size":413909,"file_id":"7258","file_name":"AMFC2026_paper_T1S2P1.pdf","relation":"main_file","content_type":"application/pdf"}],"series_title":"Linköping Electronic Conference Proceedings","author":[{"last_name":"Casella","first_name":"Francesco","full_name":"Casella, Francesco"},{"id":"221456","orcid_put_code_url":"https://api.orcid.org/v2.0/0009-0003-8902-9079/work/231825701","full_name":"Hannebohm, Philip","first_name":"Philip","orcid":"0009-0003-8902-9079","last_name":"Hannebohm"},{"full_name":"De Pascali, Matteo Luigi ","last_name":"De Pascali","first_name":"Matteo Luigi "}],"editor":[{"full_name":"Sjölund , Martin ","last_name":"Sjölund ","first_name":"Martin "},{"last_name":"Zimmer ","first_name":"Dirk ","full_name":"Zimmer , Dirk "}],"publication_identifier":{"eisbn":["978-91-8118-699-4"]},"date_updated":"2026-11-04T06:45:43Z","page":" 31-38 ","oa":"1","file_date_updated":"2026-10-31T13:55:33Z","keyword":["Modelica language","initialization","homotopy","convergence problems"],"quality_controlled":"1","title":"Robust solution of inverse static problems in Modelica: the case for the initialSimplified() operator","has_accepted_license":"1","publisher":"Linköping University Electronic Press","year":"2026","department":[{"_id":"103"}],"main_file_link":[{"open_access":"1","url":"https://ecp.ep.liu.se/index.php/modelica/article/view/1653"}],"_id":"7257","intvolume":"       223","user_id":"220548","language":[{"iso":"eng"}],"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."}],"status":"public","publication":"Proceedings of the Asian Modelica & FMI Conference Hangzhou, China, September 20-22, 2026","date_created":"2026-10-31T14:00:35Z","publication_status":"published"},{"page":"445 - 457","date_updated":"2026-06-09T07:22:33Z","author":[{"full_name":"Langenkamp, Linus","orcid_put_code_url":"https://api.orcid.org/v2.0/0009-0009-7517-4842/work/198540284","last_name":"Langenkamp","orcid":"0009-0009-7517-4842","first_name":"Linus","id":"240430"},{"id":"221456","orcid_put_code_url":"https://api.orcid.org/v2.0/0009-0003-8902-9079/work/198540286","full_name":"Hannebohm, Philip","first_name":"Philip","last_name":"Hannebohm","orcid":"0009-0003-8902-9079"},{"id":"33931","full_name":"Bachmann, Bernhard","orcid_put_code_url":"https://api.orcid.org/v2.0/0000-0002-4339-0438/work/198540287","orcid":"0000-0002-4339-0438","last_name":"Bachmann","first_name":"Bernhard"}],"editor":[{"last_name":"Zimmer","first_name":"Dirk","full_name":"Zimmer, Dirk"},{"full_name":"Müller, Ulf Christian","last_name":"Müller","first_name":"Ulf Christian"}],"file":[{"date_updated":"2025-12-02T13:48:28Z","creator":"llangenkamp","success":1,"access_level":"open_access","date_created":"2025-12-02T13:48:28Z","file_name":"paper.pdf","relation":"main_file","content_type":"application/pdf","file_size":11486460,"file_id":"6360"}],"tmp":{"image":"/images/cc_by.png","short":"CC BY (4.0)","name":"Creative Commons Attribution 4.0 International Public License (CC-BY 4.0)","legal_code_url":"https://creativecommons.org/licenses/by/4.0/legalcode"},"type":"conference","doi":"10.3384/ecp218445","volume":218,"conference":{"start_date":"2025-09-08","end_date":"2025-09-10","location":"Luzern","name":"The 16th International Modelica&FMI Conference"},"urn":"urn:nbn:de:hbz:bi10-63592","date_created":"2025-12-02T13:49:45Z","publication_status":"published","status":"public","publication":"Proceedings of the 16th International Modelica&FMI Conference","language":[{"iso":"eng"}],"user_id":"250307","intvolume":"       218","_id":"6359","citation":{"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>.","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>","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>","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} }","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>.","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.","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. 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Ruge, W. Braun, B. Bachmann, A. Walther, and K. Kulshreshtha, “Efficient Implementation of Collocation Methods for Optimization using OpenModelica and ADOL-C,” in <i>Proceedings of the 10th International Modelica Conference, March 10-12, 2014, Lund, Sweden</i>, Lund / Schweden, 2014, vol. 96, pp. 1017–1025.","alphadin":"<span style=\"font-variant:small-caps;\">Ruge, Vitalij</span> ; <span style=\"font-variant:small-caps;\">Braun, Willi</span> ; <span style=\"font-variant:small-caps;\">Bachmann, Bernhard</span> ; <span style=\"font-variant:small-caps;\">Walther, Andrea</span> ; <span style=\"font-variant:small-caps;\">Kulshreshtha, Kshitij</span>: Efficient Implementation of Collocation Methods for Optimization using OpenModelica and ADOL-C. In: <i>Proceedings of the 10th International Modelica Conference, March 10-12, 2014, Lund, Sweden</i>, <i>Linköping Electronic Conference Proceedings</i>. Bd. 96 : Linköping University Electronic Press, 2014, S. 1017–1025","short":"V. Ruge, W. 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An object-oriented Petri net simulation tool for hybrid biological processes. <i>it – Information Technology</i>. 2014;56(2):55-66. doi:<a href=\"https://doi.org/10.1515/itit-2013-1027\">10.1515/itit-2013-1027</a>"},"intvolume":"        56","author":[{"last_name":"Proß","first_name":"Sabrina","full_name":"Proß, Sabrina"},{"id":"33931","orcid_put_code_url":"https://api.orcid.org/v2.0/0000-0002-4339-0438/work/102900678","full_name":"Bachmann, Bernhard","first_name":"Bernhard","last_name":"Bachmann","orcid":"0000-0002-4339-0438"}],"year":"2014","volume":56,"doi":"10.1515/itit-2013-1027","issue":"2","type":"journal_article","publisher":"Walter de Gruyter GmbH","title":"An object-oriented Petri net simulation tool for hybrid biological processes","keyword":["ACM CSS→Computing methodologies→Modeling and simulation","Petri nets","Modelica","xHPN","PNlib","Hybrid Modeling"]},{"title":"Hybrid Modelling and Process Optimization of Biological Systems","keyword":["hybrid systems","process control","Petri-nets","biological processes","hybrid optimization","open-loop control","Modelica evolution strategy","Hooke-Jeeves method"],"year":"2012","publisher":"Elsevier BV","volume":45,"issue":"2","doi":"10.3182/20120215-3-AT-3016.00184","type":"journal_article","_id":"1514","citation":{"mla":"Proß, Sabrina, and Bernhard Bachmann. “Hybrid Modelling and Process Optimization of Biological Systems.” <i>IFAC Proceedings Volumes</i>, vol. 45, no. 2, Elsevier BV, 2012, pp. 1041–46, doi:<a href=\"https://doi.org/10.3182/20120215-3-AT-3016.00184\">10.3182/20120215-3-AT-3016.00184</a>.","ieee":"S. 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Hybrid Modelling and Process Optimization of Biological Systems. <i>IFAC Proceedings Volumes</i>. 2012;45(2):1041-1046. doi:<a href=\"https://doi.org/10.3182/20120215-3-AT-3016.00184\">10.3182/20120215-3-AT-3016.00184</a>","bibtex":"@article{Proß_Bachmann_2012, title={Hybrid Modelling and Process Optimization of Biological Systems}, volume={45}, DOI={<a href=\"https://doi.org/10.3182/20120215-3-AT-3016.00184\">10.3182/20120215-3-AT-3016.00184</a>}, number={2}, journal={IFAC Proceedings Volumes}, publisher={Elsevier BV}, author={Proß, Sabrina and Bachmann, Bernhard}, year={2012}, pages={1041–1046} }","apa":"Proß, S., &#38; Bachmann, B. (2012). Hybrid Modelling and Process Optimization of Biological Systems. <i>IFAC Proceedings Volumes</i>, <i>45</i>(2), 1041–1046. <a href=\"https://doi.org/10.3182/20120215-3-AT-3016.00184\">https://doi.org/10.3182/20120215-3-AT-3016.00184</a>","chicago":"Proß, Sabrina, and Bernhard Bachmann. “Hybrid Modelling and Process Optimization of Biological Systems.” <i>IFAC Proceedings Volumes</i> 45, no. 2 (2012): 1041–46. <a href=\"https://doi.org/10.3182/20120215-3-AT-3016.00184\">https://doi.org/10.3182/20120215-3-AT-3016.00184</a>."},"intvolume":"        45","author":[{"full_name":"Proß, Sabrina","first_name":"Sabrina","last_name":"Proß"},{"id":"33931","orcid_put_code_url":"https://api.orcid.org/v2.0/0000-0002-4339-0438/work/102900347","full_name":"Bachmann, Bernhard","first_name":"Bernhard","orcid":"0000-0002-4339-0438","last_name":"Bachmann"}],"publication_status":"published","page":"1041-1046","date_created":"2021-11-09T13:59:28Z","date_updated":"2026-07-31T18:40:41Z","publication":"IFAC Proceedings Volumes","status":"public","language":[{"iso":"eng"}],"publication_identifier":{"issn":["1474-6670"]},"user_id":"256529"},{"series_title":"Linköping Electronic Conference Proceedings","year":"2012","type":"conference","doi":"10.3384/ecp12076659","volume":76,"publisher":"Linköping University Electronic Press","conference":{"start_date":"2012-09-03","location":"München","name":"9th International MODELICA Conference, Munich, Germany","end_date":"2012-09-05"},"keyword":["Modelica","Optimica","optimization","multiple shooting","collocation","parallel","simulation"],"title":"Parallel Multiple-Shooting and Collocation Optimization with OpenModelica","status":"public","date_updated":"2026-03-17T15:28:21Z","publication":"Book of abstracts / 9th International Modelica Conference","page":"659-668","date_created":"2021-11-09T13:06:25Z","publication_status":"published","user_id":"35437","publication_identifier":{"isbn":["978-91-7519-826-2"]},"language":[{"iso":"eng"}],"_id":"1495","intvolume":"        76","citation":{"ama":"Bachmann B, Ochel L, Ruge V, et al. Parallel Multiple-Shooting and Collocation Optimization with OpenModelica. In: <i>Book of Abstracts / 9th International Modelica Conference</i>. Vol 76. Linköping Electronic Conference Proceedings. Linköping University Electronic Press; 2012:659-668. doi:<a href=\"https://doi.org/10.3384/ecp12076659\">10.3384/ecp12076659</a>","bibtex":"@inproceedings{Bachmann_Ochel_Ruge_Gebremedhin_Fritzson_Nezhadali_Eriksson_Sivertsson_2012, series={Linköping Electronic Conference Proceedings}, title={Parallel Multiple-Shooting and Collocation Optimization with OpenModelica}, volume={76}, DOI={<a href=\"https://doi.org/10.3384/ecp12076659\">10.3384/ecp12076659</a>}, booktitle={Book of abstracts / 9th International Modelica Conference}, publisher={Linköping University Electronic Press}, author={Bachmann, Bernhard and Ochel, Lennart and Ruge, Vitalij and Gebremedhin, Mahder and Fritzson, Peter and Nezhadali, Vaheed and Eriksson, Lars and Sivertsson, Martin}, year={2012}, pages={659–668}, collection={Linköping Electronic Conference Proceedings} }","short":"B. Bachmann, L. Ochel, V. Ruge, M. Gebremedhin, P. Fritzson, V. Nezhadali, L. Eriksson, M. Sivertsson, in: Book of Abstracts / 9th International Modelica Conference, Linköping University Electronic Press, 2012, pp. 659–668.","mla":"Bachmann, Bernhard, et al. “Parallel Multiple-Shooting and Collocation Optimization with OpenModelica.” <i>Book of Abstracts / 9th International Modelica Conference</i>, vol. 76, Linköping University Electronic Press, 2012, pp. 659–68, doi:<a href=\"https://doi.org/10.3384/ecp12076659\">10.3384/ecp12076659</a>.","ieee":"B. Bachmann <i>et al.</i>, “Parallel Multiple-Shooting and Collocation Optimization with OpenModelica,” in <i>Book of abstracts / 9th International Modelica Conference</i>, München, 2012, vol. 76, pp. 659–668.","alphadin":"<span style=\"font-variant:small-caps;\">Bachmann, Bernhard</span> ; <span style=\"font-variant:small-caps;\">Ochel, Lennart</span> ; <span style=\"font-variant:small-caps;\">Ruge, Vitalij</span> ; <span style=\"font-variant:small-caps;\">Gebremedhin, Mahder</span> ; <span style=\"font-variant:small-caps;\">Fritzson, Peter</span> ; <span style=\"font-variant:small-caps;\">Nezhadali, Vaheed</span> ; <span style=\"font-variant:small-caps;\">Eriksson, Lars</span> ; <span style=\"font-variant:small-caps;\">Sivertsson, Martin</span>: Parallel Multiple-Shooting and Collocation Optimization with OpenModelica. In: <i>Book of abstracts / 9th International Modelica Conference</i>, <i>Linköping Electronic Conference Proceedings</i>. Bd. 76 : Linköping University Electronic Press, 2012, S. 659–668","apa":"Bachmann, B., Ochel, L., Ruge, V., Gebremedhin, M., Fritzson, P., Nezhadali, V., … Sivertsson, M. (2012). Parallel Multiple-Shooting and Collocation Optimization with OpenModelica. In <i>Book of abstracts / 9th International Modelica Conference</i> (Vol. 76, pp. 659–668). München: Linköping University Electronic Press. <a href=\"https://doi.org/10.3384/ecp12076659\">https://doi.org/10.3384/ecp12076659</a>","chicago":"Bachmann, Bernhard, Lennart Ochel, Vitalij Ruge, Mahder Gebremedhin, Peter Fritzson, Vaheed Nezhadali, Lars Eriksson, and Martin Sivertsson. “Parallel Multiple-Shooting and Collocation Optimization with OpenModelica.” In <i>Book of Abstracts / 9th International Modelica Conference</i>, 76:659–68. Linköping Electronic Conference Proceedings. Linköping University Electronic Press, 2012. <a href=\"https://doi.org/10.3384/ecp12076659\">https://doi.org/10.3384/ecp12076659</a>."},"author":[{"last_name":"Bachmann","orcid":"0000-0002-4339-0438","first_name":"Bernhard","full_name":"Bachmann, Bernhard","orcid_put_code_url":"https://api.orcid.org/v2.0/0000-0002-4339-0438/work/102900455","id":"33931"},{"full_name":"Ochel, Lennart","last_name":"Ochel","first_name":"Lennart"},{"full_name":"Ruge, Vitalij","last_name":"Ruge","first_name":"Vitalij"},{"full_name":"Gebremedhin, Mahder","first_name":"Mahder","last_name":"Gebremedhin"},{"first_name":"Peter","last_name":"Fritzson","full_name":"Fritzson, Peter"},{"full_name":"Nezhadali, Vaheed","last_name":"Nezhadali","first_name":"Vaheed"},{"last_name":"Eriksson","first_name":"Lars","full_name":"Eriksson, Lars"},{"last_name":"Sivertsson","first_name":"Martin","full_name":"Sivertsson, Martin"}]}]