[{"date_updated":"2023-11-02T08:07:15Z","author":[{"full_name":"Dröse, Jennifer","last_name":"Dröse","first_name":"Jennifer","id":"85820"},{"full_name":"Prediger, S.","first_name":"S.","last_name":"Prediger"},{"full_name":"Neugebauer, P.","first_name":"P.","last_name":"Neugebauer"},{"first_name":"R. D.","last_name":"Danhier","full_name":"Danhier, R. D."},{"first_name":"B.","last_name":"Mertins","full_name":"Mertins, B."}],"year":"2021","status":"public","title":"Investigating students' processes of noticing and interpreting syntactic language features in word problem solving through eye-tracking","user_id":"85820","doi":"doi.org/10.29333/iejme/9674n ","_id":"45381","language":[{"iso":"eng"}],"quality_controlled":"1","citation":{"bibtex":"@article{Dröse_Prediger_Neugebauer_Danhier_Mertins_2021, title={Investigating students’ processes of noticing and interpreting syntactic language features in word problem solving through eye-tracking}, DOI={<a href=\"https://doi.org/doi.org/10.29333/iejme/9674n \">doi.org/10.29333/iejme/9674n </a>}, journal={International Electronic Journal of Mathematics Education, 16(1), em0625}, author={Dröse, Jennifer and Prediger, S. and Neugebauer, P. and Danhier, R. D. and Mertins, B.}, year={2021} }","chicago":"Dröse, Jennifer, S. Prediger, P. Neugebauer, R. D. Danhier, and B. Mertins. “Investigating Students’ Processes of Noticing and Interpreting Syntactic Language Features in Word Problem Solving through Eye-Tracking.” <i>International Electronic Journal of Mathematics Education, 16(1), Em0625</i>, 2021. <a href=\"https://doi.org/doi.org/10.29333/iejme/9674n \">https://doi.org/doi.org/10.29333/iejme/9674n </a>.","short":"J. Dröse, S. Prediger, P. Neugebauer, R.D. Danhier, B. Mertins, International Electronic Journal of Mathematics Education, 16(1), Em0625 (2021).","ama":"Dröse J, Prediger S, Neugebauer P, Danhier RD, Mertins B. Investigating students’ processes of noticing and interpreting syntactic language features in word problem solving through eye-tracking. <i>International Electronic Journal of Mathematics Education, 16(1), em0625</i>. Published online 2021. doi:<a href=\"https://doi.org/doi.org/10.29333/iejme/9674n \">doi.org/10.29333/iejme/9674n </a>","ieee":"J. Dröse, S. Prediger, P. Neugebauer, R. D. Danhier, and B. Mertins, “Investigating students’ processes of noticing and interpreting syntactic language features in word problem solving through eye-tracking,” <i>International Electronic Journal of Mathematics Education, 16(1), em0625</i>, 2021, doi: <a href=\"https://doi.org/doi.org/10.29333/iejme/9674n \">doi.org/10.29333/iejme/9674n </a>.","mla":"Dröse, Jennifer, et al. “Investigating Students’ Processes of Noticing and Interpreting Syntactic Language Features in Word Problem Solving through Eye-Tracking.” <i>International Electronic Journal of Mathematics Education, 16(1), Em0625</i>, 2021, doi:<a href=\"https://doi.org/doi.org/10.29333/iejme/9674n \">doi.org/10.29333/iejme/9674n </a>.","apa":"Dröse, J., Prediger, S., Neugebauer, P., Danhier, R. D., &#38; Mertins, B. (2021). Investigating students’ processes of noticing and interpreting syntactic language features in word problem solving through eye-tracking. <i>International Electronic Journal of Mathematics Education, 16(1), Em0625</i>. <a href=\"https://doi.org/doi.org/10.29333/iejme/9674n \">https://doi.org/doi.org/10.29333/iejme/9674n </a>"},"publication":"International Electronic Journal of Mathematics Education, 16(1), em0625","department":[{"_id":"98"}],"type":"journal_article","date_created":"2023-05-31T07:08:04Z"},{"user_id":"85820","doi":"doi.org/10.1016/j.stueduc.2020.100953","page":"1-15","language":[{"iso":"eng"}],"_id":"45380","date_updated":"2023-11-02T08:08:35Z","status":"public","title":"Identifying obstacles is not enough for everybody – Differential efficacy of an intervention fostering fifth graders’ comprehension for word problems","year":"2021","author":[{"id":"85820","full_name":"Dröse, Jennifer","first_name":"Jennifer","last_name":"Dröse"},{"last_name":"Prediger","first_name":"S.","full_name":"Prediger, S."}],"type":"journal_article","department":[{"_id":"98"}],"date_created":"2023-05-31T07:04:40Z","quality_controlled":"1","publication":"Studies in Educational Evaluation, 68 (100953)","citation":{"apa":"Dröse, J., &#38; Prediger, S. (2021). Identifying obstacles is not enough for everybody – Differential efficacy of an intervention fostering fifth graders’ comprehension for word problems. <i>Studies in Educational Evaluation, 68 (100953)</i>, 1–15. <a href=\"https://doi.org/doi.org/10.1016/j.stueduc.2020.100953\">https://doi.org/doi.org/10.1016/j.stueduc.2020.100953</a>","ieee":"J. Dröse and S. Prediger, “Identifying obstacles is not enough for everybody – Differential efficacy of an intervention fostering fifth graders’ comprehension for word problems,” <i>Studies in Educational Evaluation, 68 (100953)</i>, pp. 1–15, 2021, doi: <a href=\"https://doi.org/doi.org/10.1016/j.stueduc.2020.100953\">doi.org/10.1016/j.stueduc.2020.100953</a>.","chicago":"Dröse, Jennifer, and S. Prediger. “Identifying Obstacles Is Not Enough for Everybody – Differential Efficacy of an Intervention Fostering Fifth Graders’ Comprehension for Word Problems.” <i>Studies in Educational Evaluation, 68 (100953)</i>, 2021, 1–15. <a href=\"https://doi.org/doi.org/10.1016/j.stueduc.2020.100953\">https://doi.org/doi.org/10.1016/j.stueduc.2020.100953</a>.","short":"J. Dröse, S. Prediger, Studies in Educational Evaluation, 68 (100953) (2021) 1–15.","mla":"Dröse, Jennifer, and S. Prediger. “Identifying Obstacles Is Not Enough for Everybody – Differential Efficacy of an Intervention Fostering Fifth Graders’ Comprehension for Word Problems.” <i>Studies in Educational Evaluation, 68 (100953)</i>, 2021, pp. 1–15, doi:<a href=\"https://doi.org/doi.org/10.1016/j.stueduc.2020.100953\">doi.org/10.1016/j.stueduc.2020.100953</a>.","ama":"Dröse J, Prediger S. Identifying obstacles is not enough for everybody – Differential efficacy of an intervention fostering fifth graders’ comprehension for word problems. <i>Studies in Educational Evaluation, 68 (100953)</i>. Published online 2021:1-15. doi:<a href=\"https://doi.org/doi.org/10.1016/j.stueduc.2020.100953\">doi.org/10.1016/j.stueduc.2020.100953</a>","bibtex":"@article{Dröse_Prediger_2021, title={Identifying obstacles is not enough for everybody – Differential efficacy of an intervention fostering fifth graders’ comprehension for word problems}, DOI={<a href=\"https://doi.org/doi.org/10.1016/j.stueduc.2020.100953\">doi.org/10.1016/j.stueduc.2020.100953</a>}, journal={Studies in Educational Evaluation, 68 (100953)}, author={Dröse, Jennifer and Prediger, S.}, year={2021}, pages={1–15} }"}},{"user_id":"45445","doi":"10.21248/qfi.57","volume":3,"language":[{"iso":"ger"}],"_id":"31578","publication_status":"published","date_updated":"2023-11-24T16:50:54Z","intvolume":"         3","status":"public","title":"Mit Aufgaben im inklusiven Mathematikunterricht professionell umgehen - Erkenntnisse einer Interviewstudie mit Lehrpersonen der Sekundarstufe","year":"2021","author":[{"full_name":"Häsel-Weide, Uta","last_name":"Häsel-Weide","first_name":"Uta","id":"60267"},{"full_name":"Seitz, Simone","first_name":"Simone","last_name":"Seitz"},{"id":"45445","last_name":"Wallner","first_name":"Melina","full_name":"Wallner, Melina"},{"last_name":"Wilke","first_name":"Yannik","full_name":"Wilke, Yannik"},{"full_name":"Heckmann, Lara","last_name":"Heckmann","first_name":"Lara"}],"type":"journal_article","department":[{"_id":"98"},{"_id":"543"}],"date_created":"2022-06-02T09:04:53Z","publication":"QfI - Qualifizierung für Inklusion. Online-Zeitschrift zur Forschung über Aus-, Fort- und Weiterbildung pädagogischer Fachkräfte","issue":"1","citation":{"ama":"Häsel-Weide U, Seitz S, Wallner M, Wilke Y, Heckmann L. Mit Aufgaben im inklusiven Mathematikunterricht professionell umgehen - Erkenntnisse einer Interviewstudie mit Lehrpersonen der Sekundarstufe. <i>QfI - Qualifizierung für Inklusion Online-Zeitschrift zur Forschung über Aus-, Fort- und Weiterbildung pädagogischer Fachkräfte</i>. 2021;3(1). doi:<a href=\"https://doi.org/10.21248/qfi.57\">10.21248/qfi.57</a>","bibtex":"@article{Häsel-Weide_Seitz_Wallner_Wilke_Heckmann_2021, title={Mit Aufgaben im inklusiven Mathematikunterricht professionell umgehen - Erkenntnisse einer Interviewstudie mit Lehrpersonen der Sekundarstufe}, volume={3}, DOI={<a href=\"https://doi.org/10.21248/qfi.57\">10.21248/qfi.57</a>}, number={1}, journal={QfI - Qualifizierung für Inklusion. Online-Zeitschrift zur Forschung über Aus-, Fort- und Weiterbildung pädagogischer Fachkräfte}, author={Häsel-Weide, Uta and Seitz, Simone and Wallner, Melina and Wilke, Yannik and Heckmann, Lara}, year={2021} }","mla":"Häsel-Weide, Uta, et al. “Mit Aufgaben im inklusiven Mathematikunterricht professionell umgehen - Erkenntnisse einer Interviewstudie mit Lehrpersonen der Sekundarstufe.” <i>QfI - Qualifizierung für Inklusion. Online-Zeitschrift zur Forschung über Aus-, Fort- und Weiterbildung pädagogischer Fachkräfte</i>, vol. 3, no. 1, 2021, doi:<a href=\"https://doi.org/10.21248/qfi.57\">10.21248/qfi.57</a>.","chicago":"Häsel-Weide, Uta, Simone Seitz, Melina Wallner, Yannik Wilke, and Lara Heckmann. “Mit Aufgaben im inklusiven Mathematikunterricht professionell umgehen - Erkenntnisse einer Interviewstudie mit Lehrpersonen der Sekundarstufe.” <i>QfI - Qualifizierung für Inklusion. Online-Zeitschrift zur Forschung über Aus-, Fort- und Weiterbildung pädagogischer Fachkräfte</i> 3, no. 1 (2021). <a href=\"https://doi.org/10.21248/qfi.57\">https://doi.org/10.21248/qfi.57</a>.","short":"U. Häsel-Weide, S. Seitz, M. Wallner, Y. Wilke, L. Heckmann, QfI - Qualifizierung für Inklusion. Online-Zeitschrift zur Forschung über Aus-, Fort- und Weiterbildung pädagogischer Fachkräfte 3 (2021).","apa":"Häsel-Weide, U., Seitz, S., Wallner, M., Wilke, Y., &#38; Heckmann, L. (2021). Mit Aufgaben im inklusiven Mathematikunterricht professionell umgehen - Erkenntnisse einer Interviewstudie mit Lehrpersonen der Sekundarstufe. <i>QfI - Qualifizierung für Inklusion. Online-Zeitschrift zur Forschung über Aus-, Fort- und Weiterbildung pädagogischer Fachkräfte</i>, <i>3</i>(1). <a href=\"https://doi.org/10.21248/qfi.57\">https://doi.org/10.21248/qfi.57</a>","ieee":"U. Häsel-Weide, S. Seitz, M. Wallner, Y. Wilke, and L. Heckmann, “Mit Aufgaben im inklusiven Mathematikunterricht professionell umgehen - Erkenntnisse einer Interviewstudie mit Lehrpersonen der Sekundarstufe,” <i>QfI - Qualifizierung für Inklusion. Online-Zeitschrift zur Forschung über Aus-, Fort- und Weiterbildung pädagogischer Fachkräfte</i>, vol. 3, no. 1, 2021, doi: <a href=\"https://doi.org/10.21248/qfi.57\">10.21248/qfi.57</a>."}},{"related_material":{"link":[{"url":"https://www.igpme.org/publications/current-proceedings/","relation":"confirmation"}]},"publication":"Proceedings of the 44th Conference of the International Group for the Psychology of Mathematics Education ","citation":{"mla":"Hattermann, Mathias, et al. “Conceptualiziation Processes of 6th Graders for Rotational Symmetry.” <i>Proceedings of the 44th Conference of the International Group for the Psychology of Mathematics Education </i>, edited by M. Inprasitha et al., vol. 3, 2021, pp. 9–15.","ama":"Hattermann M, Häsel-Weide U, Wallner M. Conceptualiziation processes of 6th graders for rotational symmetry. In: Inprasitha M, Changsri N, Boonsena N, eds. <i>Proceedings of the 44th Conference of the International Group for the Psychology of Mathematics Education </i>. Vol 3. ; 2021:9-15.","bibtex":"@inproceedings{Hattermann_Häsel-Weide_Wallner_2021, title={Conceptualiziation processes of 6th graders for rotational symmetry}, volume={3}, booktitle={Proceedings of the 44th Conference of the International Group for the Psychology of Mathematics Education }, author={Hattermann, Mathias and Häsel-Weide, Uta and Wallner, Melina}, editor={Inprasitha, M. and Changsri, N. and Boonsena, N.}, year={2021}, pages={9–15} }","apa":"Hattermann, M., Häsel-Weide, U., &#38; Wallner, M. (2021). Conceptualiziation processes of 6th graders for rotational symmetry. In M. Inprasitha, N. Changsri, &#38; N. Boonsena (Eds.), <i>Proceedings of the 44th Conference of the International Group for the Psychology of Mathematics Education </i> (Vol. 3, pp. 9–15).","ieee":"M. Hattermann, U. Häsel-Weide, and M. Wallner, “Conceptualiziation processes of 6th graders for rotational symmetry,” in <i>Proceedings of the 44th Conference of the International Group for the Psychology of Mathematics Education </i>, 2021, vol. 3, pp. 9–15.","chicago":"Hattermann, Mathias, Uta Häsel-Weide, and Melina Wallner. “Conceptualiziation Processes of 6th Graders for Rotational Symmetry.” In <i>Proceedings of the 44th Conference of the International Group for the Psychology of Mathematics Education </i>, edited by M. Inprasitha, N. Changsri, and N. Boonsena, 3:9–15, 2021.","short":"M. Hattermann, U. Häsel-Weide, M. Wallner, in: M. Inprasitha, N. Changsri, N. Boonsena (Eds.), Proceedings of the 44th Conference of the International Group for the Psychology of Mathematics Education , 2021, pp. 9–15."},"type":"conference","department":[{"_id":"98"},{"_id":"543"}],"date_created":"2022-06-02T09:45:14Z","publication_status":"published","date_updated":"2023-11-24T16:59:03Z","intvolume":"         3","status":"public","title":"Conceptualiziation processes of 6th graders for rotational symmetry","year":"2021","author":[{"first_name":"Mathias","last_name":"Hattermann","full_name":"Hattermann, Mathias"},{"full_name":"Häsel-Weide, Uta","last_name":"Häsel-Weide","first_name":"Uta","id":"60267"},{"id":"45445","first_name":"Melina","last_name":"Wallner","full_name":"Wallner, Melina"}],"user_id":"45445","volume":3,"editor":[{"first_name":"M.","last_name":"Inprasitha","full_name":"Inprasitha, M."},{"first_name":"N.","last_name":"Changsri","full_name":"Changsri, N."},{"full_name":"Boonsena, N.","last_name":"Boonsena","first_name":"N."}],"page":"9-15","_id":"31583","language":[{"iso":"eng"}]},{"main_file_link":[{"open_access":"1","url":"https://www.sciencedirect.com/science/article/pii/S2405896321021236"}],"series_title":"IFAC-PapersOnLine","language":[{"iso":"eng"}],"doi":"https://doi.org/10.1016/j.ifacol.2021.11.099","title":"Bifurcation preserving discretisations of optimal control problems","year":"2021","author":[{"full_name":"Offen, Christian","last_name":"Offen","orcid":"0000-0002-5940-8057","first_name":"Christian","id":"85279"},{"id":"16494","full_name":"Ober-Blöbaum, Sina","last_name":"Ober-Blöbaum","first_name":"Sina"}],"publication_identifier":{"issn":["2405-8963"]},"date_updated":"2023-11-29T10:19:41Z","publication_status":"published","file":[{"content_type":"application/pdf","file_id":"22895","file_size":3125220,"access_level":"open_access","file_name":"ifacconf.pdf","date_updated":"2021-07-29T09:37:49Z","relation":"main_file","date_created":"2021-07-29T09:37:49Z","creator":"coffen"}],"date_created":"2021-07-29T09:38:32Z","keyword":["optimal control","catastrophe theory","bifurcations","variational methods","symplectic integrators"],"type":"conference","department":[{"_id":"636"}],"abstract":[{"text":"The first order optimality conditions of optimal control problems (OCPs) can\r\nbe regarded as boundary value problems for Hamiltonian systems. Variational or\r\nsymplectic discretisation methods are classically known for their excellent\r\nlong term behaviour. As boundary value problems are posed on intervals of\r\nfixed, moderate length, it is not immediately clear whether methods can profit\r\nfrom structure preservation in this context. When parameters are present,\r\nsolutions can undergo bifurcations, for instance, two solutions can merge and\r\nannihilate one another as parameters are varied. We will show that generic\r\nbifurcations of an OCP are preserved under discretisation when the OCP is\r\neither directly discretised to a discrete OCP (direct method) or translated\r\ninto a Hamiltonian boundary value problem using first order necessary\r\nconditions of optimality which is then solved using a symplectic integrator\r\n(indirect method). Moreover, certain bifurcations break when a non-symplectic\r\nscheme is used. The general phenomenon is illustrated on the example of a cut\r\nlocus of an ellipsoid.","lang":"eng"}],"related_material":{"link":[{"description":"GitHub/Zenodo","relation":"software","url":"https://doi.org/10.5281/zenodo.4562664"}]},"page":"334-339","_id":"22894","ddc":["510"],"user_id":"15694","volume":"54(19)","status":"public","conference":{"end_date":"2021-10-13","name":"7th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control, LHMNC 2021","start_date":"2021-10-11","location":"Berlin, Germany"},"has_accepted_license":"1","external_id":{"arxiv":["2107.13853"]},"oa":"1","file_date_updated":"2021-07-29T09:37:49Z","citation":{"chicago":"Offen, Christian, and Sina Ober-Blöbaum. “Bifurcation Preserving Discretisations of Optimal Control Problems.” IFAC-PapersOnLine, 2021. <a href=\"https://doi.org/10.1016/j.ifacol.2021.11.099\">https://doi.org/10.1016/j.ifacol.2021.11.099</a>.","short":"C. Offen, S. Ober-Blöbaum, 54(19) (2021) 334–339.","ieee":"C. Offen and S. Ober-Blöbaum, “Bifurcation preserving discretisations of optimal control problems,” vol. 54(19). pp. 334–339, 2021, doi: <a href=\"https://doi.org/10.1016/j.ifacol.2021.11.099\">https://doi.org/10.1016/j.ifacol.2021.11.099</a>.","apa":"Offen, C., &#38; Ober-Blöbaum, S. (2021). <i>Bifurcation preserving discretisations of optimal control problems: Vol. 54(19)</i> (pp. 334–339). <a href=\"https://doi.org/10.1016/j.ifacol.2021.11.099\">https://doi.org/10.1016/j.ifacol.2021.11.099</a>","bibtex":"@article{Offen_Ober-Blöbaum_2021, series={IFAC-PapersOnLine}, title={Bifurcation preserving discretisations of optimal control problems}, volume={54(19)}, DOI={<a href=\"https://doi.org/10.1016/j.ifacol.2021.11.099\">https://doi.org/10.1016/j.ifacol.2021.11.099</a>}, author={Offen, Christian and Ober-Blöbaum, Sina}, year={2021}, pages={334–339}, collection={IFAC-PapersOnLine} }","ama":"Offen C, Ober-Blöbaum S. Bifurcation preserving discretisations of optimal control problems. 2021;54(19):334-339. doi:<a href=\"https://doi.org/10.1016/j.ifacol.2021.11.099\">https://doi.org/10.1016/j.ifacol.2021.11.099</a>","mla":"Offen, Christian, and Sina Ober-Blöbaum. <i>Bifurcation Preserving Discretisations of Optimal Control Problems</i>. 2021, pp. 334–39, doi:<a href=\"https://doi.org/10.1016/j.ifacol.2021.11.099\">https://doi.org/10.1016/j.ifacol.2021.11.099</a>."},"quality_controlled":"1"},{"date_updated":"2023-11-29T10:24:55Z","publication_status":"published","year":"2021","title":"Learning ODE Models with Qualitative Structure Using Gaussian Processes ","publication_identifier":{"eisbn":["978-1-6654-3659-5"]},"author":[{"first_name":"Steffen","last_name":"Ridderbusch","full_name":"Ridderbusch, Steffen"},{"id":"85279","full_name":"Offen, Christian","orcid":"0000-0002-5940-8057","last_name":"Offen","first_name":"Christian"},{"first_name":"Sina","last_name":"Ober-Blöbaum","full_name":"Ober-Blöbaum, Sina","id":"16494"},{"first_name":"Paul","last_name":"Goulart","full_name":"Goulart, Paul"}],"doi":"10.1109/CDC45484.2021.9683426","language":[{"iso":"eng"}],"related_material":{"link":[{"description":"GitHub","relation":"software","url":"https://github.com/Crown421/StructureGPs-paper"}]},"publication":"2021 60th IEEE Conference on Decision and Control (CDC)","type":"conference","department":[{"_id":"636"}],"date_created":"2021-03-30T10:27:44Z","status":"public","conference":{"end_date":"2021-12-17","location":"Austin, TX, USA","name":"60th IEEE Conference on Decision and Control (CDC)","start_date":"2021-12-14"},"user_id":"15694","page":"2896","_id":"21572","publisher":"IEEE","citation":{"chicago":"Ridderbusch, Steffen, Christian Offen, Sina Ober-Blöbaum, and Paul Goulart. “Learning ODE Models with Qualitative Structure Using Gaussian Processes .” In <i>2021 60th IEEE Conference on Decision and Control (CDC)</i>, 2896. IEEE, 2021. <a href=\"https://doi.org/10.1109/CDC45484.2021.9683426\">https://doi.org/10.1109/CDC45484.2021.9683426</a>.","short":"S. Ridderbusch, C. Offen, S. Ober-Blöbaum, P. Goulart, in: 2021 60th IEEE Conference on Decision and Control (CDC), IEEE, 2021, p. 2896.","apa":"Ridderbusch, S., Offen, C., Ober-Blöbaum, S., &#38; Goulart, P. (2021). Learning ODE Models with Qualitative Structure Using Gaussian Processes . <i>2021 60th IEEE Conference on Decision and Control (CDC)</i>, 2896. <a href=\"https://doi.org/10.1109/CDC45484.2021.9683426\">https://doi.org/10.1109/CDC45484.2021.9683426</a>","ieee":"S. Ridderbusch, C. Offen, S. Ober-Blöbaum, and P. Goulart, “Learning ODE Models with Qualitative Structure Using Gaussian Processes ,” in <i>2021 60th IEEE Conference on Decision and Control (CDC)</i>, Austin, TX, USA, 2021, p. 2896, doi: <a href=\"https://doi.org/10.1109/CDC45484.2021.9683426\">10.1109/CDC45484.2021.9683426</a>.","ama":"Ridderbusch S, Offen C, Ober-Blöbaum S, Goulart P. Learning ODE Models with Qualitative Structure Using Gaussian Processes . In: <i>2021 60th IEEE Conference on Decision and Control (CDC)</i>. IEEE; 2021:2896. doi:<a href=\"https://doi.org/10.1109/CDC45484.2021.9683426\">10.1109/CDC45484.2021.9683426</a>","bibtex":"@inproceedings{Ridderbusch_Offen_Ober-Blöbaum_Goulart_2021, title={Learning ODE Models with Qualitative Structure Using Gaussian Processes }, DOI={<a href=\"https://doi.org/10.1109/CDC45484.2021.9683426\">10.1109/CDC45484.2021.9683426</a>}, booktitle={2021 60th IEEE Conference on Decision and Control (CDC)}, publisher={IEEE}, author={Ridderbusch, Steffen and Offen, Christian and Ober-Blöbaum, Sina and Goulart, Paul}, year={2021}, pages={2896} }","mla":"Ridderbusch, Steffen, et al. “Learning ODE Models with Qualitative Structure Using Gaussian Processes .” <i>2021 60th IEEE Conference on Decision and Control (CDC)</i>, IEEE, 2021, p. 2896, doi:<a href=\"https://doi.org/10.1109/CDC45484.2021.9683426\">10.1109/CDC45484.2021.9683426</a>."},"external_id":{"arxiv":["2011.05364"]}},{"title":"Multi-objective minimum time optimal control for low-thrust trajectory design","status":"public","year":"2021","author":[{"full_name":"Vertovec, Nikolaus","last_name":"Vertovec","first_name":"Nikolaus","id":"87056"},{"id":"16494","last_name":"Ober-Blöbaum","first_name":"Sina","full_name":"Ober-Blöbaum, Sina"},{"full_name":"Margellos, Kostas","last_name":"Margellos","first_name":"Kostas"}],"conference":{"start_date":"2021-06-29","name":"2021 European Control Conference (ECC)","location":"Rotterdam, the Netherlands","end_date":"2021-07-02"},"publication_status":"accepted","date_updated":"2023-11-29T10:26:49Z","page":"1975-1980","_id":"21592","language":[{"iso":"eng"}],"user_id":"15694","citation":{"bibtex":"@inproceedings{Vertovec_Ober-Blöbaum_Margellos, title={Multi-objective minimum time optimal control for low-thrust trajectory design}, author={Vertovec, Nikolaus and Ober-Blöbaum, Sina and Margellos, Kostas}, pages={1975–1980} }","ama":"Vertovec N, Ober-Blöbaum S, Margellos K. Multi-objective minimum time optimal control for low-thrust trajectory design. In: ; :1975-1980.","short":"N. Vertovec, S. Ober-Blöbaum, K. Margellos, in: n.d., pp. 1975–1980.","chicago":"Vertovec, Nikolaus, Sina Ober-Blöbaum, and Kostas Margellos. “Multi-Objective Minimum Time Optimal Control for Low-Thrust Trajectory Design,” 1975–80, n.d.","ieee":"N. Vertovec, S. Ober-Blöbaum, and K. Margellos, “Multi-objective minimum time optimal control for low-thrust trajectory design,” Rotterdam, the Netherlands, pp. 1975–1980.","mla":"Vertovec, Nikolaus, et al. <i>Multi-Objective Minimum Time Optimal Control for Low-Thrust Trajectory Design</i>. pp. 1975–80.","apa":"Vertovec, N., Ober-Blöbaum, S., &#38; Margellos, K. (n.d.). <i>Multi-objective minimum time optimal control for low-thrust trajectory design</i>. 1975–1980."},"abstract":[{"lang":"eng","text":"We propose a reachability approach for infinite and finite horizon multi-objective optimization problems for low-thrust spacecraft trajectory design. The main advantage of the proposed method is that the Pareto front can be efficiently constructed from the zero level set of the solution to a Hamilton-Jacobi-Bellman equation. We demonstrate the proposed method by applying it to a low-thrust spacecraft trajectory design problem. By deriving the analytic expression for the Hamiltonian and the optimal control policy, we are able to efficiently compute the backward reachable set and reconstruct the optimal trajectories. Furthermore, we show that any reconstructed trajectory will be guaranteed to be weakly Pareto optimal. The proposed method can be used as a benchmark for future research of applying reachability analysis to low-thrust spacecraft trajectory design."}],"external_id":{"arxiv":["2103.08813"]},"date_created":"2021-04-03T03:00:35Z","type":"conference","department":[{"_id":"636"}]},{"publication":"Nichtlineare Sci 31","citation":{"mla":"Jiménez, F., and Sina Ober-Blöbaum. “Fractional Damping Through Restricted Calculus of Variations.” <i>Nichtlineare Sci 31</i>, vol. 46, 2021.","bibtex":"@inproceedings{Jiménez_Ober-Blöbaum_2021, series={J Nonlinear Sci }, title={Fractional Damping Through Restricted Calculus of Variations}, volume={46}, booktitle={Nichtlineare Sci 31}, author={Jiménez, F. and Ober-Blöbaum, Sina}, year={2021}, collection={J Nonlinear Sci } }","ama":"Jiménez F, Ober-Blöbaum S. Fractional Damping Through Restricted Calculus of Variations. In: <i>Nichtlineare Sci 31</i>. Vol 46. J Nonlinear Sci . ; 2021.","ieee":"F. Jiménez and S. Ober-Blöbaum, “Fractional Damping Through Restricted Calculus of Variations,” in <i>Nichtlineare Sci 31</i>, 2021, vol. 46.","apa":"Jiménez, F., &#38; Ober-Blöbaum, S. (2021). Fractional Damping Through Restricted Calculus of Variations. <i>Nichtlineare Sci 31</i>, <i>46</i>.","chicago":"Jiménez, F., and Sina Ober-Blöbaum. “Fractional Damping Through Restricted Calculus of Variations.” In <i>Nichtlineare Sci 31</i>, Vol. 46. J Nonlinear Sci , 2021.","short":"F. Jiménez, S. Ober-Blöbaum, in: Nichtlineare Sci 31, 2021."},"date_created":"2022-02-17T07:28:47Z","type":"conference","department":[{"_id":"636"}],"year":"2021","status":"public","title":"Fractional Damping Through Restricted Calculus of Variations","author":[{"full_name":"Jiménez, F.","first_name":"F.","last_name":"Jiménez"},{"full_name":"Ober-Blöbaum, Sina","last_name":"Ober-Blöbaum","first_name":"Sina","id":"16494"}],"date_updated":"2023-11-29T10:23:46Z","intvolume":"        46","language":[{"iso":"eng"}],"_id":"29868","series_title":"J Nonlinear Sci ","user_id":"15694","volume":46},{"status":"public","_id":"34827","publisher":"Springer Science and Business Media LLC","page":"581-623","volume":42,"user_id":"72183","citation":{"apa":"Bruns, J., Unterhauser, E., &#38; Gasteiger, H. (2021). Geometrisches Begriffsverständnis in der Grundschule am Beispiel der Begriffe Viereck, Rechteck und Quadrat. <i>Journal für Mathematik-Didaktik</i>, <i>42</i>(2), 581–623. <a href=\"https://doi.org/10.1007/s13138-021-00185-4\">https://doi.org/10.1007/s13138-021-00185-4</a>","ieee":"J. Bruns, E. Unterhauser, and H. Gasteiger, “Geometrisches Begriffsverständnis in der Grundschule am Beispiel der Begriffe Viereck, Rechteck und Quadrat,” <i>Journal für Mathematik-Didaktik</i>, vol. 42, no. 2, pp. 581–623, 2021, doi: <a href=\"https://doi.org/10.1007/s13138-021-00185-4\">10.1007/s13138-021-00185-4</a>.","short":"J. Bruns, E. Unterhauser, H. Gasteiger, Journal für Mathematik-Didaktik 42 (2021) 581–623.","chicago":"Bruns, Julia, Elisabeth Unterhauser, and Hedwig Gasteiger. “Geometrisches Begriffsverständnis in der Grundschule am Beispiel der Begriffe Viereck, Rechteck und Quadrat.” <i>Journal für Mathematik-Didaktik</i> 42, no. 2 (2021): 581–623. <a href=\"https://doi.org/10.1007/s13138-021-00185-4\">https://doi.org/10.1007/s13138-021-00185-4</a>.","mla":"Bruns, Julia, et al. “Geometrisches Begriffsverständnis in der Grundschule am Beispiel der Begriffe Viereck, Rechteck und Quadrat.” <i>Journal für Mathematik-Didaktik</i>, vol. 42, no. 2, Springer Science and Business Media LLC, 2021, pp. 581–623, doi:<a href=\"https://doi.org/10.1007/s13138-021-00185-4\">10.1007/s13138-021-00185-4</a>.","ama":"Bruns J, Unterhauser E, Gasteiger H. Geometrisches Begriffsverständnis in der Grundschule am Beispiel der Begriffe Viereck, Rechteck und Quadrat. <i>Journal für Mathematik-Didaktik</i>. 2021;42(2):581-623. doi:<a href=\"https://doi.org/10.1007/s13138-021-00185-4\">10.1007/s13138-021-00185-4</a>","bibtex":"@article{Bruns_Unterhauser_Gasteiger_2021, title={Geometrisches Begriffsverständnis in der Grundschule am Beispiel der Begriffe Viereck, Rechteck und Quadrat}, volume={42}, DOI={<a href=\"https://doi.org/10.1007/s13138-021-00185-4\">10.1007/s13138-021-00185-4</a>}, number={2}, journal={Journal für Mathematik-Didaktik}, publisher={Springer Science and Business Media LLC}, author={Bruns, Julia and Unterhauser, Elisabeth and Gasteiger, Hedwig}, year={2021}, pages={581–623} }"},"quality_controlled":"1","author":[{"orcid":"https://orcid.org/0000-0002-6604-5864","last_name":"Bruns","first_name":"Julia","full_name":"Bruns, Julia","id":"72183"},{"full_name":"Unterhauser, Elisabeth","first_name":"Elisabeth","last_name":"Unterhauser"},{"last_name":"Gasteiger","first_name":"Hedwig","full_name":"Gasteiger, Hedwig"}],"publication_identifier":{"issn":["0173-5322","1869-2699"]},"title":"Geometrisches Begriffsverständnis in der Grundschule am Beispiel der Begriffe Viereck, Rechteck und Quadrat","year":"2021","intvolume":"        42","publication_status":"published","date_updated":"2023-10-23T11:14:59Z","language":[{"iso":"ger"}],"doi":"10.1007/s13138-021-00185-4","issue":"2","publication":"Journal für Mathematik-Didaktik","abstract":[{"text":"<jats:title>Zusammenfassung</jats:title><jats:p>Zu den ersten geometrischen Begriffen, die Kinder bereits im Elementar- und Primarbereich lernen, zählen u. a. Viereck, Rechteck und Quadrat. Studien zeigen, dass Lernende bereits früh individuelle Vorstellungen, sog. <jats:italic>individuelle Begriffskonzepte,</jats:italic> zu diesen Begriffen aufbauen. Zwar wird die Entwicklung von Begriffsverständnis in verschiedenen mathematikdidaktischen Stufenmodellen dargestellt, diese sind jedoch generisch und beschreiben nicht explizit die Entwicklung der ersten <jats:italic>individuellen Begriffskonzepte </jats:italic>von Lernenden zu Viereck, Rechteck und Quadrat. Aus empirischer Sicht liegen verschiedene Studien vor, die einzelne Aspekte der individuellen Begriffskonzepte von Lernenden unterschiedlicher Altersgruppen zu diesen Begriffen ausleuchten. Um Begriffsbildungsprozesse aus empirischer Sicht detaillierter entlang der jeweils vorherrschenden individuellen Begriffskonzepte zu beschreiben, fehlen insbesondere Studien in der Grundschule, die alle vier Klassenstufen betrachten und dabei differenzierte Erkenntnisse zu verschiedenen theoretischen Indikatoren des Begriffsverständnisses liefern. Daher geht die vorliegende Studie der Frage nach, welches Verständnis der Begriffe Viereck, Rechteck und Quadrat Schülerinnen und Schüler der Jahrgangsstufen 1, 2, 3 und 4 zeigen. Dazu wurde eine Quasi-Längsschnittstudie mit <jats:italic>N</jats:italic> = 456 Grundschulkindern (ca. 100 pro Jahrgangsstufe) durchgeführt. Die Ergebnisse geben detaillierte Einblicke in die individuellen Begriffskonzepte der Lernenden und zeigen, dass Lernende zunehmend Eigenschaften der Figuren berücksichtigen, jedoch individuelle Begriffskonzepte über lange Zeit auch prototypisch geprägt sind. Implikationen dieser Ergebnisse für Forschung und Praxis werden diskutiert.</jats:p>","lang":"eng"}],"date_created":"2022-12-22T09:26:39Z","department":[{"_id":"97"},{"_id":"611"}],"type":"journal_article","keyword":["Education","General Mathematics"]},{"citation":{"mla":"Prediger, Susanne, and Jennifer Dröse. “Fehlerbearbeitung bei mathematischen Textaufgaben – Sprachliche und strategische Fehlerursachen und ihre Bearbeitung.” <i>Lernen und Lernstörungen, 10(2)</i>, 2021, doi:<a href=\"https://doi.org/doi.org/10.1024/2235-0977/a000330\">doi.org/10.1024/2235-0977/a000330</a>.","bibtex":"@article{Prediger_Dröse_2021, title={Fehlerbearbeitung bei mathematischen Textaufgaben – Sprachliche und strategische Fehlerursachen und ihre Bearbeitung}, DOI={<a href=\"https://doi.org/doi.org/10.1024/2235-0977/a000330\">doi.org/10.1024/2235-0977/a000330</a>}, journal={Lernen und Lernstörungen, 10(2)}, author={Prediger, Susanne and Dröse, Jennifer}, year={2021} }","ama":"Prediger S, Dröse J. Fehlerbearbeitung bei mathematischen Textaufgaben – Sprachliche und strategische Fehlerursachen und ihre Bearbeitung. <i>Lernen und Lernstörungen, 10(2)</i>. Published online 2021. doi:<a href=\"https://doi.org/doi.org/10.1024/2235-0977/a000330\">doi.org/10.1024/2235-0977/a000330</a>","ieee":"S. Prediger and J. Dröse, “Fehlerbearbeitung bei mathematischen Textaufgaben – Sprachliche und strategische Fehlerursachen und ihre Bearbeitung,” <i>Lernen und Lernstörungen, 10(2)</i>, 2021, doi: <a href=\"https://doi.org/doi.org/10.1024/2235-0977/a000330\">doi.org/10.1024/2235-0977/a000330</a>.","apa":"Prediger, S., &#38; Dröse, J. (2021). Fehlerbearbeitung bei mathematischen Textaufgaben – Sprachliche und strategische Fehlerursachen und ihre Bearbeitung. <i>Lernen und Lernstörungen, 10(2)</i>. <a href=\"https://doi.org/doi.org/10.1024/2235-0977/a000330\">https://doi.org/doi.org/10.1024/2235-0977/a000330</a>","short":"S. Prediger, J. Dröse, Lernen und Lernstörungen, 10(2) (2021).","chicago":"Prediger, Susanne, and Jennifer Dröse. “Fehlerbearbeitung bei mathematischen Textaufgaben – Sprachliche und strategische Fehlerursachen und ihre Bearbeitung.” <i>Lernen und Lernstörungen, 10(2)</i>, 2021. <a href=\"https://doi.org/doi.org/10.1024/2235-0977/a000330\">https://doi.org/doi.org/10.1024/2235-0977/a000330</a>."},"publication":"Lernen und Lernstörungen, 10(2)","quality_controlled":"1","date_created":"2023-05-31T07:14:10Z","department":[{"_id":"98"}],"type":"journal_article","author":[{"first_name":"Susanne","last_name":"Prediger","full_name":"Prediger, Susanne"},{"last_name":"Dröse","first_name":"Jennifer","full_name":"Dröse, Jennifer","id":"85820"}],"status":"public","title":"Fehlerbearbeitung bei mathematischen Textaufgaben – Sprachliche und strategische Fehlerursachen und ihre Bearbeitung","year":"2021","date_updated":"2023-11-02T08:09:00Z","_id":"45382","language":[{"iso":"ger"}],"doi":"doi.org/10.1024/2235-0977/a000330","user_id":"85820"},{"citation":{"chicago":"Guillarmou, Colin, Joachim Hilgert, and Tobias Weich. “High Frequency Limits for Invariant Ruelle Densities.” <i>Annales Henri Lebesgue</i> 4 (2021): 81–119. <a href=\"https://doi.org/10.5802/ahl.67\">https://doi.org/10.5802/ahl.67</a>.","short":"C. Guillarmou, J. Hilgert, T. Weich, Annales Henri Lebesgue 4 (2021) 81–119.","ieee":"C. Guillarmou, J. Hilgert, and T. Weich, “High frequency limits for invariant Ruelle densities,” <i>Annales Henri Lebesgue</i>, vol. 4, pp. 81–119, 2021, doi: <a href=\"https://doi.org/10.5802/ahl.67\">10.5802/ahl.67</a>.","apa":"Guillarmou, C., Hilgert, J., &#38; Weich, T. (2021). High frequency limits for invariant Ruelle densities. <i>Annales Henri Lebesgue</i>, <i>4</i>, 81–119. <a href=\"https://doi.org/10.5802/ahl.67\">https://doi.org/10.5802/ahl.67</a>","bibtex":"@article{Guillarmou_Hilgert_Weich_2021, title={High frequency limits for invariant Ruelle densities}, volume={4}, DOI={<a href=\"https://doi.org/10.5802/ahl.67\">10.5802/ahl.67</a>}, journal={Annales Henri Lebesgue}, publisher={Cellule MathDoc/CEDRAM}, author={Guillarmou, Colin and Hilgert, Joachim and Weich, Tobias}, year={2021}, pages={81–119} }","ama":"Guillarmou C, Hilgert J, Weich T. High frequency limits for invariant Ruelle densities. <i>Annales Henri Lebesgue</i>. 2021;4:81-119. doi:<a href=\"https://doi.org/10.5802/ahl.67\">10.5802/ahl.67</a>","mla":"Guillarmou, Colin, et al. “High Frequency Limits for Invariant Ruelle Densities.” <i>Annales Henri Lebesgue</i>, vol. 4, Cellule MathDoc/CEDRAM, 2021, pp. 81–119, doi:<a href=\"https://doi.org/10.5802/ahl.67\">10.5802/ahl.67</a>."},"external_id":{"arxiv":["1803.06717"]},"status":"public","_id":"31263","publisher":"Cellule MathDoc/CEDRAM","page":"81-119","volume":4,"user_id":"49063","publication":"Annales Henri Lebesgue","date_created":"2022-05-17T12:05:17Z","department":[{"_id":"10"},{"_id":"623"},{"_id":"548"},{"_id":"91"}],"type":"journal_article","author":[{"full_name":"Guillarmou, Colin","first_name":"Colin","last_name":"Guillarmou"},{"id":"220","first_name":"Joachim","last_name":"Hilgert","full_name":"Hilgert, Joachim"},{"last_name":"Weich","first_name":"Tobias","orcid":"0000-0002-9648-6919","full_name":"Weich, Tobias","id":"49178"}],"publication_identifier":{"issn":["2644-9463"]},"year":"2021","title":"High frequency limits for invariant Ruelle densities","intvolume":"         4","date_updated":"2024-02-19T06:27:43Z","publication_status":"published","language":[{"iso":"eng"}],"doi":"10.5802/ahl.67"},{"department":[{"_id":"555"},{"_id":"91"}],"type":"journal_article","date_created":"2023-01-12T08:23:28Z","citation":{"apa":"Brennecken, D., Hilgert, J., &#38; Ciardo, L. (2021). Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(R)/SOn(R). <i>Journal of Lie Theory</i>, <i>31</i>(2), 459--468. <a href=\"https://doi.org/10.48550/arXiv.2008.07479\">https://doi.org/10.48550/arXiv.2008.07479</a>","ieee":"D. Brennecken, J. Hilgert, and L. Ciardo, “Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(R)/SOn(R),” <i>Journal of Lie Theory</i>, vol. 31, no. 2, pp. 459--468, 2021, doi: <a href=\"https://doi.org/10.48550/arXiv.2008.07479\">10.48550/arXiv.2008.07479</a>.","chicago":"Brennecken, Dominik, Joachim Hilgert, and Lorenzo Ciardo. “Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(R)/SOn(R).” <i>Journal of Lie Theory</i> 31, no. 2 (2021): 459--468. <a href=\"https://doi.org/10.48550/arXiv.2008.07479\">https://doi.org/10.48550/arXiv.2008.07479</a>.","short":"D. Brennecken, J. Hilgert, L. Ciardo, Journal of Lie Theory 31 (2021) 459--468.","mla":"Brennecken, Dominik, et al. “Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(R)/SOn(R).” <i>Journal of Lie Theory</i>, vol. 31, no. 2, Heldermann Verlag, 2021, pp. 459--468, doi:<a href=\"https://doi.org/10.48550/arXiv.2008.07479\">10.48550/arXiv.2008.07479</a>.","ama":"Brennecken D, Hilgert J, Ciardo L. Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(R)/SOn(R). <i>Journal of Lie Theory</i>. 2021;31(2):459--468. doi:<a href=\"https://doi.org/10.48550/arXiv.2008.07479\">10.48550/arXiv.2008.07479</a>","bibtex":"@article{Brennecken_Hilgert_Ciardo_2021, title={Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(R)/SOn(R)}, volume={31}, DOI={<a href=\"https://doi.org/10.48550/arXiv.2008.07479\">10.48550/arXiv.2008.07479</a>}, number={2}, journal={Journal of Lie Theory}, publisher={Heldermann Verlag}, author={Brennecken, Dominik and Hilgert, Joachim and Ciardo, Lorenzo}, year={2021}, pages={459--468} }"},"issue":"2","publication":"Journal of Lie Theory","volume":31,"user_id":"49063","doi":"10.48550/arXiv.2008.07479","_id":"36271","publisher":"Heldermann Verlag","language":[{"iso":"eng"}],"page":"459--468","intvolume":"        31","publication_status":"published","date_updated":"2024-02-19T06:27:09Z","author":[{"last_name":"Brennecken","first_name":"Dominik","full_name":"Brennecken, Dominik","id":"55911"},{"id":"220","last_name":"Hilgert","first_name":"Joachim","full_name":"Hilgert, Joachim"},{"last_name":"Ciardo","first_name":"Lorenzo","full_name":"Ciardo, Lorenzo"}],"status":"public","year":"2021","title":"Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(R)/SOn(R)"},{"date_created":"2024-02-20T09:52:08Z","department":[{"_id":"91"}],"type":"review","citation":{"chicago":"Hilgert, Joachim. “Philip Ording: 99 Variations on a Proof. Princeton University Press 2019.” <i>Mathematische Semesterberichte</i>, 2021. <a href=\"https://doi.org/10.1007/s00591-021-00295-7\">https://doi.org/10.1007/s00591-021-00295-7</a>.","short":"J. Hilgert, Mathematische Semesterberichte 68 (2021) 171–173.","apa":"Hilgert, J. (2021). Philip Ording: 99 Variations on a Proof. Princeton University Press 2019. In <i>Mathematische Semesterberichte</i> (Vol. 68, pp. 171–173). <a href=\"https://doi.org/10.1007/s00591-021-00295-7\">https://doi.org/10.1007/s00591-021-00295-7</a>","ieee":"J. Hilgert, “Philip Ording: 99 Variations on a Proof. Princeton University Press 2019,” <i>Mathematische Semesterberichte</i>, vol. 68. pp. 171–173, 2021, doi: <a href=\"https://doi.org/10.1007/s00591-021-00295-7\">10.1007/s00591-021-00295-7</a>.","ama":"Hilgert J. Philip Ording: 99 Variations on a Proof. Princeton University Press 2019. <i>Mathematische Semesterberichte</i>. 2021;68:171–173. doi:<a href=\"https://doi.org/10.1007/s00591-021-00295-7\">10.1007/s00591-021-00295-7</a>","bibtex":"@article{Hilgert_2021, title={Philip Ording: 99 Variations on a Proof. Princeton University Press 2019}, volume={68}, DOI={<a href=\"https://doi.org/10.1007/s00591-021-00295-7\">10.1007/s00591-021-00295-7</a>}, journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2021}, pages={171–173} }","mla":"Hilgert, Joachim. “Philip Ording: 99 Variations on a Proof. Princeton University Press 2019.” <i>Mathematische Semesterberichte</i>, vol. 68, 2021, pp. 171–173, doi:<a href=\"https://doi.org/10.1007/s00591-021-00295-7\">10.1007/s00591-021-00295-7</a>."},"publication":"Mathematische Semesterberichte","language":[{"iso":"eng"}],"_id":"51556","page":"171–173","volume":68,"user_id":"49063","doi":"10.1007/s00591-021-00295-7","author":[{"id":"220","last_name":"Hilgert","first_name":"Joachim","full_name":"Hilgert, Joachim"}],"year":"2021","title":"Philip Ording: 99 Variations on a Proof. Princeton University Press 2019","status":"public","intvolume":"        68","publication_status":"published","date_updated":"2024-02-20T10:03:43Z"},{"volume":68,"user_id":"49063","doi":"10.1007/s00591-021-00296-6","language":[{"iso":"ger"}],"_id":"51555","page":"175–177","intvolume":"        68","publication_status":"published","date_updated":"2024-02-20T10:14:56Z","author":[{"id":"220","full_name":"Hilgert, Joachim","last_name":"Hilgert","first_name":"Joachim"}],"year":"2021","status":"public","title":"Georg Glaeser (Hrsg.): 77-mal Mathematik für zwischendurch – Unterhaltsame Kuriositäten und unorthodoxe Anwendungen. Springer Spektrum 2020","department":[{"_id":"91"}],"type":"review","date_created":"2024-02-20T09:50:31Z","citation":{"bibtex":"@article{Hilgert_2021, title={Georg Glaeser (Hrsg.): 77-mal Mathematik für zwischendurch – Unterhaltsame Kuriositäten und unorthodoxe Anwendungen. Springer Spektrum 2020}, volume={68}, DOI={<a href=\"https://doi.org/10.1007/s00591-021-00296-6\">10.1007/s00591-021-00296-6</a>}, journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2021}, pages={175–177} }","ama":"Hilgert J. Georg Glaeser (Hrsg.): 77-mal Mathematik für zwischendurch – Unterhaltsame Kuriositäten und unorthodoxe Anwendungen. Springer Spektrum 2020. <i>Mathematische Semesterberichte</i>. 2021;68:175–177. doi:<a href=\"https://doi.org/10.1007/s00591-021-00296-6\">10.1007/s00591-021-00296-6</a>","mla":"Hilgert, Joachim. “Georg Glaeser (Hrsg.): 77-mal Mathematik für zwischendurch – Unterhaltsame Kuriositäten und unorthodoxe Anwendungen. Springer Spektrum 2020.” <i>Mathematische Semesterberichte</i>, vol. 68, 2021, pp. 175–177, doi:<a href=\"https://doi.org/10.1007/s00591-021-00296-6\">10.1007/s00591-021-00296-6</a>.","chicago":"Hilgert, Joachim. “Georg Glaeser (Hrsg.): 77-mal Mathematik für zwischendurch – Unterhaltsame Kuriositäten und unorthodoxe Anwendungen. Springer Spektrum 2020.” <i>Mathematische Semesterberichte</i>, 2021. <a href=\"https://doi.org/10.1007/s00591-021-00296-6\">https://doi.org/10.1007/s00591-021-00296-6</a>.","short":"J. Hilgert, Mathematische Semesterberichte 68 (2021) 175–177.","ieee":"J. Hilgert, “Georg Glaeser (Hrsg.): 77-mal Mathematik für zwischendurch – Unterhaltsame Kuriositäten und unorthodoxe Anwendungen. Springer Spektrum 2020,” <i>Mathematische Semesterberichte</i>, vol. 68. pp. 175–177, 2021, doi: <a href=\"https://doi.org/10.1007/s00591-021-00296-6\">10.1007/s00591-021-00296-6</a>.","apa":"Hilgert, J. (2021). Georg Glaeser (Hrsg.): 77-mal Mathematik für zwischendurch – Unterhaltsame Kuriositäten und unorthodoxe Anwendungen. Springer Spektrum 2020. In <i>Mathematische Semesterberichte</i> (Vol. 68, pp. 175–177). <a href=\"https://doi.org/10.1007/s00591-021-00296-6\">https://doi.org/10.1007/s00591-021-00296-6</a>"},"publication":"Mathematische Semesterberichte"},{"language":[{"iso":"eng"}],"_id":"45967","user_id":"100441","title":"A convergent finite element algorithm for mean curvature flow in higher codimension","year":"2021","status":"public","author":[{"last_name":"Binz","first_name":"Tim","full_name":"Binz, Tim"},{"id":"100441","first_name":"Balázs","last_name":"Kovács","orcid":"0000-0001-9872-3474","full_name":"Kovács, Balázs"}],"date_updated":"2024-04-03T09:16:19Z","date_created":"2023-07-10T11:46:16Z","type":"journal_article","department":[{"_id":"841"}],"publication":"arXiv","citation":{"ieee":"T. Binz and B. Kovács, “A convergent finite element algorithm for mean curvature flow in higher codimension,” <i>arXiv</i>, 2021.","apa":"Binz, T., &#38; Kovács, B. (2021). A convergent finite element algorithm for mean curvature flow in higher codimension. <i>ArXiv</i>.","short":"T. Binz, B. Kovács, ArXiv (2021).","chicago":"Binz, Tim, and Balázs Kovács. “A Convergent Finite Element Algorithm for Mean Curvature Flow in Higher Codimension.” <i>ArXiv</i>, 2021.","mla":"Binz, Tim, and Balázs Kovács. “A Convergent Finite Element Algorithm for Mean Curvature Flow in Higher Codimension.” <i>ArXiv</i>, 2021.","bibtex":"@article{Binz_Kovács_2021, title={A convergent finite element algorithm for mean curvature flow in higher codimension}, journal={arXiv}, author={Binz, Tim and Kovács, Balázs}, year={2021} }","ama":"Binz T, Kovács B. A convergent finite element algorithm for mean curvature flow in higher codimension. <i>arXiv</i>. Published online 2021."}},{"abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title>\r\n               <jats:p>An algorithm is proposed for generalized mean curvature flow of closed two-dimensional surfaces, which include inverse mean curvature flow and powers of mean and inverse mean curvature flow. Error estimates are proved for semidiscretizations and full discretizations for the generalized flow. The algorithm proposed and studied here combines evolving surface finite elements, whose nodes determine the discrete surface, and linearly implicit backward difference formulae for time integration. The numerical method is based on a system coupling the surface evolution to nonlinear second-order parabolic evolution equations for the normal velocity and normal vector. A convergence proof is presented in the case of finite elements of polynomial degree at least 2 and backward difference formulae of orders 2 to 5. The error analysis combines stability estimates and consistency estimates to yield optimal-order $H^1$-norm error bounds for the computed surface position, velocity, normal vector, normal velocity and therefore for the mean curvature. The stability analysis is performed in the matrix–vector formulation and is independent of geometric arguments, which only enter the consistency analysis. Numerical experiments are presented to illustrate the convergence results and also to report on monotone quantities, e.g. Hawking mass for inverse mean curvature flow, and complemented by experiments for nonconvex surfaces.</jats:p>"}],"issue":"3","publication":"IMA Journal of Numerical Analysis","department":[{"_id":"841"}],"type":"journal_article","keyword":["Applied Mathematics","Computational Mathematics","General Mathematics"],"date_created":"2023-07-10T11:44:41Z","intvolume":"        42","date_updated":"2024-04-03T09:18:40Z","publication_status":"published","author":[{"last_name":"Binz","first_name":"Tim","full_name":"Binz, Tim"},{"full_name":"Kovács, Balázs","first_name":"Balázs","orcid":"0000-0001-9872-3474","last_name":"Kovács","id":"100441"}],"publication_identifier":{"issn":["0272-4979","1464-3642"]},"title":"A convergent finite element algorithm for generalized mean curvature flows of closed surfaces","year":"2021","doi":"10.1093/imanum/drab043","language":[{"iso":"eng"}],"citation":{"apa":"Binz, T., &#38; Kovács, B. (2021). A convergent finite element algorithm for generalized mean curvature flows of closed surfaces. <i>IMA Journal of Numerical Analysis</i>, <i>42</i>(3), 2545–2588. <a href=\"https://doi.org/10.1093/imanum/drab043\">https://doi.org/10.1093/imanum/drab043</a>","ieee":"T. Binz and B. Kovács, “A convergent finite element algorithm for generalized mean curvature flows of closed surfaces,” <i>IMA Journal of Numerical Analysis</i>, vol. 42, no. 3, pp. 2545–2588, 2021, doi: <a href=\"https://doi.org/10.1093/imanum/drab043\">10.1093/imanum/drab043</a>.","short":"T. Binz, B. Kovács, IMA Journal of Numerical Analysis 42 (2021) 2545–2588.","chicago":"Binz, Tim, and Balázs Kovács. “A Convergent Finite Element Algorithm for Generalized Mean Curvature Flows of Closed Surfaces.” <i>IMA Journal of Numerical Analysis</i> 42, no. 3 (2021): 2545–88. <a href=\"https://doi.org/10.1093/imanum/drab043\">https://doi.org/10.1093/imanum/drab043</a>.","mla":"Binz, Tim, and Balázs Kovács. “A Convergent Finite Element Algorithm for Generalized Mean Curvature Flows of Closed Surfaces.” <i>IMA Journal of Numerical Analysis</i>, vol. 42, no. 3, Oxford University Press (OUP), 2021, pp. 2545–88, doi:<a href=\"https://doi.org/10.1093/imanum/drab043\">10.1093/imanum/drab043</a>.","ama":"Binz T, Kovács B. A convergent finite element algorithm for generalized mean curvature flows of closed surfaces. <i>IMA Journal of Numerical Analysis</i>. 2021;42(3):2545-2588. doi:<a href=\"https://doi.org/10.1093/imanum/drab043\">10.1093/imanum/drab043</a>","bibtex":"@article{Binz_Kovács_2021, title={A convergent finite element algorithm for generalized mean curvature flows of closed surfaces}, volume={42}, DOI={<a href=\"https://doi.org/10.1093/imanum/drab043\">10.1093/imanum/drab043</a>}, number={3}, journal={IMA Journal of Numerical Analysis}, publisher={Oxford University Press (OUP)}, author={Binz, Tim and Kovács, Balázs}, year={2021}, pages={2545–2588} }"},"status":"public","volume":42,"user_id":"100441","publisher":"Oxford University Press (OUP)","_id":"45962","page":"2545-2588"},{"citation":{"ieee":"P. Harder and B. Kovács, “Error estimates for the Cahn–Hilliard equation with dynamic boundary conditions,” <i>IMA Journal of Numerical Analysis</i>, vol. 42, no. 3, pp. 2589–2620, 2021, doi: <a href=\"https://doi.org/10.1093/imanum/drab045\">10.1093/imanum/drab045</a>.","apa":"Harder, P., &#38; Kovács, B. (2021). Error estimates for the Cahn–Hilliard equation with dynamic boundary conditions. <i>IMA Journal of Numerical Analysis</i>, <i>42</i>(3), 2589–2620. <a href=\"https://doi.org/10.1093/imanum/drab045\">https://doi.org/10.1093/imanum/drab045</a>","chicago":"Harder, Paula, and Balázs Kovács. “Error Estimates for the Cahn–Hilliard Equation with Dynamic Boundary Conditions.” <i>IMA Journal of Numerical Analysis</i> 42, no. 3 (2021): 2589–2620. <a href=\"https://doi.org/10.1093/imanum/drab045\">https://doi.org/10.1093/imanum/drab045</a>.","short":"P. Harder, B. Kovács, IMA Journal of Numerical Analysis 42 (2021) 2589–2620.","mla":"Harder, Paula, and Balázs Kovács. “Error Estimates for the Cahn–Hilliard Equation with Dynamic Boundary Conditions.” <i>IMA Journal of Numerical Analysis</i>, vol. 42, no. 3, Oxford University Press (OUP), 2021, pp. 2589–620, doi:<a href=\"https://doi.org/10.1093/imanum/drab045\">10.1093/imanum/drab045</a>.","bibtex":"@article{Harder_Kovács_2021, title={Error estimates for the Cahn–Hilliard equation with dynamic boundary conditions}, volume={42}, DOI={<a href=\"https://doi.org/10.1093/imanum/drab045\">10.1093/imanum/drab045</a>}, number={3}, journal={IMA Journal of Numerical Analysis}, publisher={Oxford University Press (OUP)}, author={Harder, Paula and Kovács, Balázs}, year={2021}, pages={2589–2620} }","ama":"Harder P, Kovács B. Error estimates for the Cahn–Hilliard equation with dynamic boundary conditions. <i>IMA Journal of Numerical Analysis</i>. 2021;42(3):2589-2620. doi:<a href=\"https://doi.org/10.1093/imanum/drab045\">10.1093/imanum/drab045</a>"},"_id":"45957","publisher":"Oxford University Press (OUP)","page":"2589-2620","volume":42,"user_id":"100441","status":"public","date_created":"2023-07-10T11:43:28Z","department":[{"_id":"841"}],"keyword":["Applied Mathematics","Computational Mathematics","General Mathematics"],"type":"journal_article","issue":"3","publication":"IMA Journal of Numerical Analysis","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title><jats:p>A proof of convergence is given for a bulk–surface finite element semidiscretisation of the Cahn–Hilliard equation with Cahn–Hilliard-type dynamic boundary conditions in a smooth domain. The semidiscretisation is studied in an abstract weak formulation as a second-order system. Optimal-order uniform-in-time error estimates are shown in the $L^2$- and $H^1$-norms. The error estimates are based on a consistency and stability analysis. The proof of stability is performed in an abstract framework, based on energy estimates exploiting the anti-symmetric structure of the second-order system. Numerical experiments illustrate the theoretical results.</jats:p>"}],"language":[{"iso":"eng"}],"doi":"10.1093/imanum/drab045","author":[{"last_name":"Harder","first_name":"Paula","full_name":"Harder, Paula"},{"id":"100441","first_name":"Balázs","last_name":"Kovács","orcid":"0000-0001-9872-3474","full_name":"Kovács, Balázs"}],"publication_identifier":{"issn":["0272-4979","1464-3642"]},"title":"Error estimates for the Cahn–Hilliard equation with dynamic boundary conditions","year":"2021","intvolume":"        42","date_updated":"2024-04-03T09:20:15Z","publication_status":"published"},{"language":[{"iso":"eng"}],"doi":"10.1007/s00211-021-01196-6","title":"Correction to: Stable and convergent fully discrete interior–exterior coupling of Maxwell’s equations","year":"2021","author":[{"full_name":"Nick, Jörg","first_name":"Jörg","last_name":"Nick"},{"last_name":"Kovács","first_name":"Balázs","orcid":"0000-0001-9872-3474","full_name":"Kovács, Balázs","id":"100441"},{"first_name":"Christian","last_name":"Lubich","full_name":"Lubich, Christian"}],"publication_identifier":{"issn":["0029-599X","0945-3245"]},"date_updated":"2024-04-03T09:18:52Z","publication_status":"published","intvolume":"       147","date_created":"2023-07-10T11:44:25Z","keyword":["Applied Mathematics","Computational Mathematics"],"type":"journal_article","department":[{"_id":"841"}],"publication":"Numerische Mathematik","issue":"4","page":"997-1000","_id":"45961","publisher":"Springer Science and Business Media LLC","user_id":"100441","volume":147,"status":"public","citation":{"ama":"Nick J, Kovács B, Lubich C. Correction to: Stable and convergent fully discrete interior–exterior coupling of Maxwell’s equations. <i>Numerische Mathematik</i>. 2021;147(4):997-1000. doi:<a href=\"https://doi.org/10.1007/s00211-021-01196-6\">10.1007/s00211-021-01196-6</a>","bibtex":"@article{Nick_Kovács_Lubich_2021, title={Correction to: Stable and convergent fully discrete interior–exterior coupling of Maxwell’s equations}, volume={147}, DOI={<a href=\"https://doi.org/10.1007/s00211-021-01196-6\">10.1007/s00211-021-01196-6</a>}, number={4}, journal={Numerische Mathematik}, publisher={Springer Science and Business Media LLC}, author={Nick, Jörg and Kovács, Balázs and Lubich, Christian}, year={2021}, pages={997–1000} }","mla":"Nick, Jörg, et al. “Correction to: Stable and Convergent Fully Discrete Interior–Exterior Coupling of Maxwell’s Equations.” <i>Numerische Mathematik</i>, vol. 147, no. 4, Springer Science and Business Media LLC, 2021, pp. 997–1000, doi:<a href=\"https://doi.org/10.1007/s00211-021-01196-6\">10.1007/s00211-021-01196-6</a>.","chicago":"Nick, Jörg, Balázs Kovács, and Christian Lubich. “Correction to: Stable and Convergent Fully Discrete Interior–Exterior Coupling of Maxwell’s Equations.” <i>Numerische Mathematik</i> 147, no. 4 (2021): 997–1000. <a href=\"https://doi.org/10.1007/s00211-021-01196-6\">https://doi.org/10.1007/s00211-021-01196-6</a>.","short":"J. Nick, B. Kovács, C. Lubich, Numerische Mathematik 147 (2021) 997–1000.","apa":"Nick, J., Kovács, B., &#38; Lubich, C. (2021). Correction to: Stable and convergent fully discrete interior–exterior coupling of Maxwell’s equations. <i>Numerische Mathematik</i>, <i>147</i>(4), 997–1000. <a href=\"https://doi.org/10.1007/s00211-021-01196-6\">https://doi.org/10.1007/s00211-021-01196-6</a>","ieee":"J. Nick, B. Kovács, and C. Lubich, “Correction to: Stable and convergent fully discrete interior–exterior coupling of Maxwell’s equations,” <i>Numerische Mathematik</i>, vol. 147, no. 4, pp. 997–1000, 2021, doi: <a href=\"https://doi.org/10.1007/s00211-021-01196-6\">10.1007/s00211-021-01196-6</a>."}},{"publication":"Numerische Mathematik","issue":"3","department":[{"_id":"841"}],"keyword":["Applied Mathematics","Computational Mathematics"],"type":"journal_article","date_created":"2023-07-10T11:43:59Z","intvolume":"       149","date_updated":"2024-04-03T09:19:20Z","publication_status":"published","author":[{"first_name":"Balázs","last_name":"Kovács","full_name":"Kovács, Balázs"},{"first_name":"Buyang","last_name":"Li","full_name":"Li, Buyang"},{"last_name":"Lubich","first_name":"Christian","full_name":"Lubich, Christian"}],"publication_identifier":{"issn":["0029-599X","0945-3245"]},"title":"A convergent evolving finite element algorithm for Willmore flow of closed surfaces","year":"2021","doi":"10.1007/s00211-021-01238-z","language":[{"iso":"eng"}],"citation":{"chicago":"Kovács, Balázs, Buyang Li, and Christian Lubich. “A Convergent Evolving Finite Element Algorithm for Willmore Flow of Closed Surfaces.” <i>Numerische Mathematik</i> 149, no. 3 (2021): 595–643. <a href=\"https://doi.org/10.1007/s00211-021-01238-z\">https://doi.org/10.1007/s00211-021-01238-z</a>.","short":"B. Kovács, B. Li, C. Lubich, Numerische Mathematik 149 (2021) 595–643.","apa":"Kovács, B., Li, B., &#38; Lubich, C. (2021). A convergent evolving finite element algorithm for Willmore flow of closed surfaces. <i>Numerische Mathematik</i>, <i>149</i>(3), 595–643. <a href=\"https://doi.org/10.1007/s00211-021-01238-z\">https://doi.org/10.1007/s00211-021-01238-z</a>","ieee":"B. Kovács, B. Li, and C. Lubich, “A convergent evolving finite element algorithm for Willmore flow of closed surfaces,” <i>Numerische Mathematik</i>, vol. 149, no. 3, pp. 595–643, 2021, doi: <a href=\"https://doi.org/10.1007/s00211-021-01238-z\">10.1007/s00211-021-01238-z</a>.","ama":"Kovács B, Li B, Lubich C. A convergent evolving finite element algorithm for Willmore flow of closed surfaces. <i>Numerische Mathematik</i>. 2021;149(3):595-643. doi:<a href=\"https://doi.org/10.1007/s00211-021-01238-z\">10.1007/s00211-021-01238-z</a>","bibtex":"@article{Kovács_Li_Lubich_2021, title={A convergent evolving finite element algorithm for Willmore flow of closed surfaces}, volume={149}, DOI={<a href=\"https://doi.org/10.1007/s00211-021-01238-z\">10.1007/s00211-021-01238-z</a>}, number={3}, journal={Numerische Mathematik}, publisher={Springer Science and Business Media LLC}, author={Kovács, Balázs and Li, Buyang and Lubich, Christian}, year={2021}, pages={595–643} }","mla":"Kovács, Balázs, et al. “A Convergent Evolving Finite Element Algorithm for Willmore Flow of Closed Surfaces.” <i>Numerische Mathematik</i>, vol. 149, no. 3, Springer Science and Business Media LLC, 2021, pp. 595–643, doi:<a href=\"https://doi.org/10.1007/s00211-021-01238-z\">10.1007/s00211-021-01238-z</a>."},"status":"public","volume":149,"user_id":"100441","publisher":"Springer Science and Business Media LLC","_id":"45959","page":"595-643"},{"citation":{"mla":"Hesse, Kerstin, et al. “Local RBF-Based Penalized Least-Squares Approximation on the Sphere with Noisy Scattered Data.” <i>Journal of Computational and Applied Mathematics</i>, vol. 382, 113061, Elsevier BV, 2021, doi:<a href=\"https://doi.org/10.1016/j.cam.2020.113061\">10.1016/j.cam.2020.113061</a>.","bibtex":"@article{Hesse_Sloan_Womersley_2021, title={Local RBF-based penalized least-squares approximation on the sphere with noisy scattered data}, volume={382}, DOI={<a href=\"https://doi.org/10.1016/j.cam.2020.113061\">10.1016/j.cam.2020.113061</a>}, number={113061}, journal={Journal of Computational and Applied Mathematics}, publisher={Elsevier BV}, author={Hesse, Kerstin and Sloan, Ian H. and Womersley, Robert S.}, year={2021} }","ama":"Hesse K, Sloan IH, Womersley RS. Local RBF-based penalized least-squares approximation on the sphere with noisy scattered data. <i>Journal of Computational and Applied Mathematics</i>. 2021;382. doi:<a href=\"https://doi.org/10.1016/j.cam.2020.113061\">10.1016/j.cam.2020.113061</a>","ieee":"K. Hesse, I. H. Sloan, and R. S. Womersley, “Local RBF-based penalized least-squares approximation on the sphere with noisy scattered data,” <i>Journal of Computational and Applied Mathematics</i>, vol. 382, Art. no. 113061, 2021, doi: <a href=\"https://doi.org/10.1016/j.cam.2020.113061\">10.1016/j.cam.2020.113061</a>.","apa":"Hesse, K., Sloan, I. H., &#38; Womersley, R. S. (2021). Local RBF-based penalized least-squares approximation on the sphere with noisy scattered data. <i>Journal of Computational and Applied Mathematics</i>, <i>382</i>, Article 113061. <a href=\"https://doi.org/10.1016/j.cam.2020.113061\">https://doi.org/10.1016/j.cam.2020.113061</a>","chicago":"Hesse, Kerstin, Ian H. Sloan, and Robert S. Womersley. “Local RBF-Based Penalized Least-Squares Approximation on the Sphere with Noisy Scattered Data.” <i>Journal of Computational and Applied Mathematics</i> 382 (2021). <a href=\"https://doi.org/10.1016/j.cam.2020.113061\">https://doi.org/10.1016/j.cam.2020.113061</a>.","short":"K. Hesse, I.H. Sloan, R.S. Womersley, Journal of Computational and Applied Mathematics 382 (2021)."},"status":"public","_id":"34629","publisher":"Elsevier BV","user_id":"49063","volume":382,"publication":"Journal of Computational and Applied Mathematics","date_created":"2022-12-20T17:26:44Z","keyword":["Applied Mathematics","Computational Mathematics"],"type":"journal_article","department":[{"_id":"10"}],"year":"2021","title":"Local RBF-based penalized least-squares approximation on the sphere with noisy scattered data","publication_identifier":{"issn":["0377-0427"]},"author":[{"full_name":"Hesse, Kerstin","orcid":"0000-0003-4125-1941","first_name":"Kerstin","last_name":"Hesse","id":"42608"},{"first_name":"Ian H.","last_name":"Sloan","full_name":"Sloan, Ian H."},{"last_name":"Womersley","first_name":"Robert S.","full_name":"Womersley, Robert S."}],"date_updated":"2024-04-03T11:04:23Z","publication_status":"published","intvolume":"       382","article_number":"113061","language":[{"iso":"eng"}],"doi":"10.1016/j.cam.2020.113061"}]