[{"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."}],"user_id":"221456","date_created":"2026-10-31T14:00:35Z","publication_status":"published","status":"public","publication":"Proceedings of the Asian Modelica & FMI Conference Hangzhou, China, September 20-22, 2026","department":[{"_id":"103"}],"intvolume":"       223","_id":"7257","main_file_link":[{"url":"https://ecp.ep.liu.se/index.php/modelica/article/view/1653","open_access":"1"}],"publisher":"Linköping University Electronic Press","has_accepted_license":"1","year":"2026","keyword":["Modelica language","initialization","homotopy","convergence problems"],"title":"Robust solution of inverse static problems in Modelica: the case for the initialSimplified() operator","quality_controlled":"1","oa":"1","file_date_updated":"2026-10-31T13:55:33Z","publication_identifier":{"eisbn":["978-91-8118-699-4"]},"date_updated":"2026-10-31T14:01:59Z","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"},{"last_name":"Pascali","first_name":"Matteo Luigi De","full_name":"Pascali, Matteo Luigi De"}],"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"},"doi":"10.3384/ecp22331","type":"conference","volume":223,"series_title":"Linköping Electronic Conference Proceedings","file":[{"file_name":"AMFC2026_paper_T1S2P1.pdf","relation":"main_file","content_type":"application/pdf","file_id":"7258","file_size":413909,"success":1,"creator":"phannebohm","date_updated":"2026-10-31T13:55:33Z","date_created":"2026-10-31T13:55:33Z","access_level":"open_access"}],"urn":"urn:nbn:de:hbz:bi10-72570","conference":{"name":"Asian Modelica & FMI Conference","location":"Hangzhou, China","end_date":"2026-09-22","start_date":"2026-09-20"}},{"year":"2025","series_title":"Linköping Electronic Conference Proceedings","volume":218,"type":"conference","doi":"10.3384/ecp218109","publisher":"Linköping University Electronic Press","conference":{"name":"The 16th International Modelica&FMI Conference, September 8 – 10, 2025, Lucerne University of Applied Sciences and Arts (HSLU)"},"oa":"1","project":[{"_id":"f432a2ee-bceb-11ed-a251-a83585c5074d","name":"Institute for Data Science Solutions"}],"title":"Diagnosing Newton’s Solver Convergence Failures in the Initialization of Modelica Models","date_updated":"2026-06-09T07:27:07Z","publication":"Proceedings of the 16th International Modelica&FMI Conference, September 8 – 10, 2025, Lucerne University of Applied Sciences and Arts (HSLU)","status":"public","publication_status":"published","date_created":"2026-01-14T16:10:30Z","user_id":"250307","language":[{"iso":"eng"}],"publication_identifier":{"eisbn":["978-91-8118-266-8"]},"main_file_link":[{"open_access":"1"}],"intvolume":"       218","_id":"6449","citation":{"apa":"Casella, F., Bachmann, B., Abdelhak, K., Hannebohm, P., &#38; Van der Stelt, T. 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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":[{"id":"33931","orcid_put_code_url":"https://api.orcid.org/v2.0/0000-0002-4339-0438/work/202504183","full_name":"Bachmann, Bernhard","first_name":"Bernhard","last_name":"Bachmann","orcid":"0000-0002-4339-0438"},{"first_name":"Luca","last_name":"Bonaventura","full_name":"Bonaventura, Luca"},{"first_name":"Francesco","last_name":"Casella","full_name":"Casella, Francesco"},{"first_name":"Soledad","last_name":"Fernández-García","full_name":"Fernández-García, Soledad"},{"full_name":"Gómez-Mármol, Macarena","first_name":"Macarena","last_name":"Gómez-Mármol"},{"id":"221456","last_name":"Hannebohm","orcid":"0009-0003-8902-9079","first_name":"Philip","full_name":"Hannebohm, Philip","orcid_put_code_url":"https://api.orcid.org/v2.0/0009-0003-8902-9079/work/202504184"}]},{"urn":"urn:nbn:de:hbz:bi10-63592","conference":{"end_date":"2025-09-10","name":"The 16th International Modelica&FMI Conference","location":"Luzern","start_date":"2025-09-08"},"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,"file":[{"file_name":"paper.pdf","relation":"main_file","content_type":"application/pdf","file_size":11486460,"file_id":"6360","date_updated":"2025-12-02T13:48:28Z","creator":"llangenkamp","success":1,"date_created":"2025-12-02T13:48:28Z","access_level":"open_access"}],"author":[{"full_name":"Langenkamp, Linus","orcid_put_code_url":"https://api.orcid.org/v2.0/0009-0009-7517-4842/work/198540284","orcid":"0009-0009-7517-4842","last_name":"Langenkamp","first_name":"Linus","id":"240430"},{"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":"221456"},{"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":[{"first_name":"Dirk","last_name":"Zimmer","full_name":"Zimmer, Dirk"},{"last_name":"Müller","first_name":"Ulf Christian","full_name":"Müller, Ulf Christian"}],"page":"445 - 457","date_updated":"2026-06-09T07:22:33Z","keyword":["Physics-enhanced Neural ODEs","Dynamic Optimization","Nonlinear Programming","Modelica","NeuralODEs","Universal Differential Equations"],"project":[{"_id":"f432a2ee-bceb-11ed-a251-a83585c5074d","name":"Institute for Data Science Solutions"}],"title":"Efficient Training of Physics-enhanced Neural ODEs via Direct Collocation and Nonlinear Programming","oa":"1","file_date_updated":"2025-12-02T13:48:28Z","publisher":"Linköping University Electronic Press","has_accepted_license":"1","year":"2025","department":[{"_id":"103"}],"_id":"6359","intvolume":"       218","citation":{"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>","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>.","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} }","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. 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