[{"language":[{"iso":"eng"}],"_id":"6359","editor":[{"first_name":"Dirk","full_name":"Zimmer, Dirk","last_name":"Zimmer"},{"full_name":"Müller, Ulf Christian","last_name":"Müller","first_name":"Ulf Christian"}],"year":"2025","status":"public","conference":{"location":"Luzern","name":"The 16th International Modelica&FMI Conference","start_date":"2025-09-08","end_date":"2025-09-10"},"citation":{"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>.","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>.","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","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."},"author":[{"orcid":"0009-0009-7517-4842","full_name":"Langenkamp, Linus","last_name":"Langenkamp","first_name":"Linus","orcid_put_code_url":"https://api.orcid.org/v2.0/0009-0009-7517-4842/work/198540284","id":"240430"},{"first_name":"Philip","orcid_put_code_url":"https://api.orcid.org/v2.0/0009-0003-8902-9079/work/198540286","id":"221456","last_name":"Hannebohm","orcid":"0009-0003-8902-9079","full_name":"Hannebohm, Philip"},{"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"}],"date_updated":"2026-03-17T15:29:29Z","publisher":"Linköping University Electronic Press","page":"445 - 457","doi":"10.3384/ecp218445","intvolume":"       218","main_file_link":[{"open_access":"1"}],"user_id":"240430","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","file":[{"date_updated":"2025-12-02T13:48:28Z","success":1,"date_created":"2025-12-02T13:48:28Z","creator":"llangenkamp","file_name":"paper.pdf","file_size":11486460,"content_type":"application/pdf","relation":"main_file","file_id":"6360","access_level":"open_access"}],"type":"conference","urn":"urn:nbn:de:hbz:bi10-63592","keyword":["Physics-enhanced Neural ODEs","Dynamic Optimization","Nonlinear Programming","Modelica","NeuralODEs","Universal Differential Equations"],"publication_status":"published","publication":"Proceedings of the 16th International Modelica&FMI Conference","department":[{"_id":"103"}],"volume":218,"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"},{"publisher":"Linköping University Electronic Press","date_updated":"2026-03-17T15:29:29Z","citation":{"bibtex":"@inproceedings{Langenkamp_Bachmann_2025, series={Linköping Electronic Conference Proceedings}, title={Enhancing Collocation-Based Dynamic Optimization through Adaptive Mesh Refinement}, volume={218}, DOI={<a href=\"https://doi.org/10.3384/ecp218127\">10.3384/ecp218127</a>}, booktitle={Proceedings of the 16th International Modelica&#38;FMI Conference}, publisher={Linköping University Electronic Press}, author={Langenkamp, Linus and Bachmann, Bernhard}, editor={Zimmer, Dirk and Müller, Ulf ChristianEditors}, year={2025}, pages={127–138}, collection={Linköping Electronic Conference Proceedings} }","apa":"Langenkamp, L., &#38; Bachmann, B. (2025). Enhancing Collocation-Based Dynamic Optimization through Adaptive Mesh Refinement. In D. Zimmer &#38; U. C. Müller (Eds.), <i>Proceedings of the 16th International Modelica&#38;FMI Conference</i> (Vol. 218, pp. 127–138). Luzern: Linköping University Electronic Press. <a href=\"https://doi.org/10.3384/ecp218127\">https://doi.org/10.3384/ecp218127</a>","alphadin":"<span style=\"font-variant:small-caps;\">Langenkamp, Linus</span> ; <span style=\"font-variant:small-caps;\">Bachmann, Bernhard</span>: Enhancing Collocation-Based Dynamic Optimization through Adaptive Mesh Refinement. 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. 127–138","ieee":"L. Langenkamp and B. Bachmann, “Enhancing Collocation-Based Dynamic Optimization through Adaptive Mesh Refinement,” in <i>Proceedings of the 16th International Modelica&#38;FMI Conference</i>, Luzern, 2025, vol. 218, pp. 127–138.","ama":"Langenkamp L, Bachmann B. Enhancing Collocation-Based Dynamic Optimization through Adaptive Mesh Refinement. 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; 2025:127-138. doi:<a href=\"https://doi.org/10.3384/ecp218127\">10.3384/ecp218127</a>","mla":"Langenkamp, Linus, and Bernhard Bachmann. “Enhancing Collocation-Based Dynamic Optimization through Adaptive Mesh Refinement.” <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. 127–38, doi:<a href=\"https://doi.org/10.3384/ecp218127\">10.3384/ecp218127</a>.","chicago":"Langenkamp, Linus, and Bernhard Bachmann. “Enhancing Collocation-Based Dynamic Optimization through Adaptive Mesh Refinement.” In <i>Proceedings of the 16th International Modelica&#38;FMI Conference</i>, edited by Dirk Zimmer and Ulf Christian Müller, 218:127–38. Linköping Electronic Conference Proceedings. Linköping University Electronic Press, 2025. <a href=\"https://doi.org/10.3384/ecp218127\">https://doi.org/10.3384/ecp218127</a>.","short":"L. Langenkamp, B. Bachmann, in: D. Zimmer, U.C. Müller (Eds.), Proceedings of the 16th International Modelica&#38;FMI Conference, Linköping University Electronic Press, 2025, pp. 127–138."},"author":[{"orcid":"0009-0009-7517-4842","full_name":"Langenkamp, Linus","last_name":"Langenkamp","first_name":"Linus","orcid_put_code_url":"https://api.orcid.org/v2.0/0009-0009-7517-4842/work/198561013","id":"240430"},{"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/198561014","id":"33931"}],"editor":[{"first_name":"Dirk","last_name":"Zimmer","full_name":"Zimmer, Dirk"},{"last_name":"Müller","full_name":"Müller, Ulf Christian","first_name":"Ulf Christian"}],"_id":"6361","language":[{"iso":"eng"}],"series_title":"Linköping Electronic Conference Proceedings","publication_status":"published","keyword":["Dynamic Optimization","Direct Collocation","Adaptive Mesh Refinement","Nonlinear Programming"],"urn":"urn:nbn:de:hbz:bi10-63618","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","has_accepted_license":"1","intvolume":"       218","doi":"10.3384/ecp218127","page":"127 - 138","conference":{"location":"Luzern","name":"The 16th International Modelica&FMI Conference","start_date":"2025-09-08","end_date":"2025-09-10"},"status":"public","year":"2025","title":"Enhancing Collocation-Based Dynamic Optimization through Adaptive Mesh Refinement","file_date_updated":"2025-12-02T17:59:17Z","date_created":"2025-12-02T17:57:34Z","volume":218,"department":[{"_id":"103"}],"publication":"Proceedings of the 16th International Modelica&FMI Conference","file":[{"date_created":"2025-12-02T17:59:17Z","creator":"llangenkamp","date_updated":"2025-12-02T17:59:17Z","success":1,"content_type":"application/pdf","file_size":615701,"file_name":"paper.pdf","file_id":"6362","relation":"main_file","access_level":"open_access"}],"publication_identifier":{"eisbn":["978-91-8118-266-8"]},"type":"conference","user_id":"220548"},{"status":"public","author":[{"first_name":"Ronald H. W.","last_name":"Hoppe","full_name":"Hoppe, Ronald H. W."},{"first_name":"Svetozara","id":"201871","last_name":"Petrova","full_name":"Petrova, Svetozara"}],"citation":{"chicago":"Hoppe, Ronald H. W., and Svetozara Petrova. “Applications of Primal-Dual Interior Methods in Structural Optimization.” <i>Computational Methods in Applied Mathematics</i> 3, no. 1 (2003): 159–76. <a href=\"https://doi.org/10.2478/cmam-2003-0011\">https://doi.org/10.2478/cmam-2003-0011</a>.","short":"R.H.W. Hoppe, S. Petrova, Computational Methods in Applied Mathematics 3 (2003) 159–176.","ama":"Hoppe RHW, Petrova S. Applications of Primal-dual Interior Methods in Structural Optimization. <i>Computational Methods in Applied Mathematics</i>. 2003;3(1):159-176. doi:<a href=\"https://doi.org/10.2478/cmam-2003-0011\">10.2478/cmam-2003-0011</a>","mla":"Hoppe, Ronald H. W., and Svetozara Petrova. “Applications of Primal-Dual Interior Methods in Structural Optimization.” <i>Computational Methods in Applied Mathematics</i>, vol. 3, no. 1, Walter de Gruyter GmbH, 2003, pp. 159–76, doi:<a href=\"https://doi.org/10.2478/cmam-2003-0011\">10.2478/cmam-2003-0011</a>.","ieee":"R. H. W. Hoppe and S. Petrova, “Applications of Primal-dual Interior Methods in Structural Optimization,” <i>Computational Methods in Applied Mathematics</i>, vol. 3, no. 1, pp. 159–176, 2003.","bibtex":"@article{Hoppe_Petrova_2003, title={Applications of Primal-dual Interior Methods in Structural Optimization}, volume={3}, DOI={<a href=\"https://doi.org/10.2478/cmam-2003-0011\">10.2478/cmam-2003-0011</a>}, number={1}, journal={Computational Methods in Applied Mathematics}, publisher={Walter de Gruyter GmbH}, author={Hoppe, Ronald H. W. and Petrova, Svetozara}, year={2003}, pages={159–176} }","apa":"Hoppe, R. H. W., &#38; Petrova, S. (2003). Applications of Primal-dual Interior Methods in Structural Optimization. <i>Computational Methods in Applied Mathematics</i>, <i>3</i>(1), 159–176. <a href=\"https://doi.org/10.2478/cmam-2003-0011\">https://doi.org/10.2478/cmam-2003-0011</a>","alphadin":"<span style=\"font-variant:small-caps;\">Hoppe, Ronald H. W.</span> ; <span style=\"font-variant:small-caps;\">Petrova, Svetozara</span>: Applications of Primal-dual Interior Methods in Structural Optimization. In: <i>Computational Methods in Applied Mathematics</i> Bd. 3, Walter de Gruyter GmbH (2003), Nr. 1, S. 159–176"},"publisher":"Walter de Gruyter GmbH","page":"159-176","date_updated":"2026-03-17T15:29:02Z","intvolume":"         3","doi":"10.2478/cmam-2003-0011","language":[{"iso":"eng"}],"year":"2003","_id":"4551","volume":3,"title":"Applications of Primal-dual Interior Methods in Structural Optimization","date_created":"2024-04-25T13:14:17Z","user_id":"220548","main_file_link":[{"open_access":"1"}],"publication_identifier":{"eissn":["1609-9389"],"issn":["1609-4840"]},"type":"journal_article","tmp":{"name":"Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0)","image":"/images/cc_by_nc_nd.png","short":"CC BY-NC-ND (4.0)","legal_code_url":"https://creativecommons.org/licenses/by-nc-nd/4.0/legalcode"},"oa":"1","project":[{"_id":"f432a2ee-bceb-11ed-a251-a83585c5074d","name":"Institute for Data Science Solutions"}],"publication":"Computational Methods in Applied Mathematics","publication_status":"published","issue":"1","keyword":["structural optimization","nonlinear programming","primal-dual interior-point methods","eddy current equations","elasticity equations"]},{"status":"public","author":[{"first_name":"R.H.W.","last_name":"Hoppe","full_name":"Hoppe, R.H.W."},{"first_name":"Svetozara","id":"201871","full_name":"Petrova, Svetozara","last_name":"Petrova"},{"last_name":"Schulz","full_name":"Schulz, V.","first_name":"V."}],"citation":{"alphadin":"<span style=\"font-variant:small-caps;\">Hoppe, R.H.W.</span> ; <span style=\"font-variant:small-caps;\">Petrova, Svetozara</span> ; <span style=\"font-variant:small-caps;\">Schulz, V.</span>: Primal-Dual Newton-Type Interior-Point Method for Topology Optimization. In: <i>Journal of Optimization Theory and Applications</i> Bd. 114, Springer Science and Business Media LLC (2002), Nr. 3, S. 545–571","apa":"Hoppe, R. H. W., Petrova, S., &#38; Schulz, V. (2002). Primal-Dual Newton-Type Interior-Point Method for Topology Optimization. <i>Journal of Optimization Theory and Applications</i>, <i>114</i>(3), 545–571. <a href=\"https://doi.org/10.1023/A:1016070928600\">https://doi.org/10.1023/A:1016070928600</a>","bibtex":"@article{Hoppe_Petrova_Schulz_2002, title={Primal-Dual Newton-Type Interior-Point Method for Topology Optimization}, volume={114}, DOI={<a href=\"https://doi.org/10.1023/A:1016070928600\">10.1023/A:1016070928600</a>}, number={3}, journal={Journal of Optimization Theory and Applications}, publisher={Springer Science and Business Media LLC}, author={Hoppe, R.H.W. and Petrova, Svetozara and Schulz, V.}, year={2002}, pages={545–571} }","ieee":"R. H. W. Hoppe, S. Petrova, and V. Schulz, “Primal-Dual Newton-Type Interior-Point Method for Topology Optimization,” <i>Journal of Optimization Theory and Applications</i>, vol. 114, no. 3, pp. 545–571, 2002.","mla":"Hoppe, R. H. W., et al. “Primal-Dual Newton-Type Interior-Point Method for Topology Optimization.” <i>Journal of Optimization Theory and Applications</i>, vol. 114, no. 3, Springer Science and Business Media LLC, 2002, pp. 545–71, doi:<a href=\"https://doi.org/10.1023/A:1016070928600\">10.1023/A:1016070928600</a>.","ama":"Hoppe RHW, Petrova S, Schulz V. Primal-Dual Newton-Type Interior-Point Method for Topology Optimization. <i>Journal of Optimization Theory and Applications</i>. 2002;114(3):545-571. doi:<a href=\"https://doi.org/10.1023/A:1016070928600\">10.1023/A:1016070928600</a>","short":"R.H.W. Hoppe, S. Petrova, V. Schulz, Journal of Optimization Theory and Applications 114 (2002) 545–571.","chicago":"Hoppe, R.H.W., Svetozara Petrova, and V. Schulz. “Primal-Dual Newton-Type Interior-Point Method for Topology Optimization.” <i>Journal of Optimization Theory and Applications</i> 114, no. 3 (2002): 545–71. <a href=\"https://doi.org/10.1023/A:1016070928600\">https://doi.org/10.1023/A:1016070928600</a>."},"page":"545-571","publisher":"Springer Science and Business Media LLC","date_updated":"2026-03-17T15:29:02Z","intvolume":"       114","doi":"10.1023/A:1016070928600","language":[{"iso":"eng"}],"year":"2002","_id":"4545","volume":114,"title":"Primal-Dual Newton-Type Interior-Point Method for Topology Optimization","date_created":"2024-04-25T12:53:40Z","user_id":"220548","publication_identifier":{"issn":["0022-3239"],"eissn":["1573-2878"]},"type":"journal_article","project":[{"_id":"f432a2ee-bceb-11ed-a251-a83585c5074d","name":"Institute for Data Science Solutions"}],"issue":"3","publication_status":"published","publication":"Journal of Optimization Theory and Applications","keyword":["Eddy current equations","topology optimization","nonlinear programming","primal-dual interior-point methods","watchdog strategy"]}]