--- _id: '46578' abstract: - lang: eng text: 'Multiobjective optimization plays an increasingly important role in modern applications, where several criteria are often of equal importance. The task in multiobjective optimization and multiobjective optimal control is therefore to compute the set of optimal compromises (the Pareto set) between the conflicting objectives. The advances in algorithms and the increasing interest in Pareto-optimal solutions have led to a wide range of new applications related to optimal and feedback control - potentially with non-smoothness both on the level of the objectives or in the system dynamics. This results in new challenges such as dealing with expensive models (e.g., governed by partial differential equations (PDEs)) and developing dedicated algorithms handling the non-smoothness. Since in contrast to single-objective optimization, the Pareto set generally consists of an infinite number of solutions, the computational effort can quickly become challenging, which is particularly problematic when the objectives are costly to evaluate or when a solution has to be presented very quickly. This article gives an overview of recent developments in the field of multiobjective optimization of non-smooth PDE-constrained problems. In particular we report on the advances achieved within Project 2 "Multiobjective Optimization of Non-Smooth PDE-Constrained Problems - Switches, State Constraints and Model Order Reduction" of the DFG Priority Programm 1962 "Non-smooth and Complementarity-based Distributed Parameter Systems: Simulation and Hierarchical Optimization".' author: - first_name: Marco full_name: Bernreuther, Marco last_name: Bernreuther - first_name: Michael full_name: Dellnitz, Michael last_name: Dellnitz - first_name: Bennet full_name: Gebken, Bennet id: '32643' last_name: Gebken - first_name: Georg full_name: Müller, Georg last_name: Müller - first_name: Sebastian full_name: Peitz, Sebastian id: '47427' last_name: Peitz orcid: 0000-0002-3389-793X - first_name: Konstantin full_name: Sonntag, Konstantin id: '56399' last_name: Sonntag orcid: https://orcid.org/0000-0003-3384-3496 - first_name: Stefan full_name: Volkwein, Stefan last_name: Volkwein citation: ama: Bernreuther M, Dellnitz M, Gebken B, et al. Multiobjective Optimization of Non-Smooth PDE-Constrained Problems. arXiv:230801113. Published online 2023. apa: Bernreuther, M., Dellnitz, M., Gebken, B., Müller, G., Peitz, S., Sonntag, K., & Volkwein, S. (2023). Multiobjective Optimization of Non-Smooth PDE-Constrained Problems. In arXiv:2308.01113. bibtex: '@article{Bernreuther_Dellnitz_Gebken_Müller_Peitz_Sonntag_Volkwein_2023, title={Multiobjective Optimization of Non-Smooth PDE-Constrained Problems}, journal={arXiv:2308.01113}, author={Bernreuther, Marco and Dellnitz, Michael and Gebken, Bennet and Müller, Georg and Peitz, Sebastian and Sonntag, Konstantin and Volkwein, Stefan}, year={2023} }' chicago: Bernreuther, Marco, Michael Dellnitz, Bennet Gebken, Georg Müller, Sebastian Peitz, Konstantin Sonntag, and Stefan Volkwein. “Multiobjective Optimization of Non-Smooth PDE-Constrained Problems.” ArXiv:2308.01113, 2023. ieee: M. Bernreuther et al., “Multiobjective Optimization of Non-Smooth PDE-Constrained Problems,” arXiv:2308.01113. 2023. mla: Bernreuther, Marco, et al. “Multiobjective Optimization of Non-Smooth PDE-Constrained Problems.” ArXiv:2308.01113, 2023. short: M. Bernreuther, M. Dellnitz, B. Gebken, G. Müller, S. Peitz, K. Sonntag, S. Volkwein, ArXiv:2308.01113 (2023). date_created: 2023-08-21T05:50:12Z date_updated: 2024-02-21T12:22:20Z department: - _id: '655' - _id: '101' external_id: arxiv: - '2308.01113' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/pdf/2308.01113 oa: '1' publication: arXiv:2308.01113 status: public title: Multiobjective Optimization of Non-Smooth PDE-Constrained Problems type: preprint user_id: '47427' year: '2023' ... --- _id: '34793' article_type: original author: - first_name: Helge full_name: Glöckner, Helge id: '178' last_name: Glöckner - first_name: Joachim full_name: Hilgert, Joachim id: '220' last_name: Hilgert citation: ama: Glöckner H, Hilgert J. Aspects of control theory on infinite-dimensional Lie groups and G-manifolds. Journal of Differential Equations. 2023;343:186–232. doi:10.1016/j.jde.2022.10.001 apa: Glöckner, H., & Hilgert, J. (2023). Aspects of control theory on infinite-dimensional Lie groups and G-manifolds. Journal of Differential Equations, 343, 186–232. https://doi.org/10.1016/j.jde.2022.10.001 bibtex: '@article{Glöckner_Hilgert_2023, title={Aspects of control theory on infinite-dimensional Lie groups and G-manifolds}, volume={343}, DOI={10.1016/j.jde.2022.10.001}, journal={Journal of Differential Equations}, author={Glöckner, Helge and Hilgert, Joachim}, year={2023}, pages={186–232} }' chicago: 'Glöckner, Helge, and Joachim Hilgert. “Aspects of Control Theory on Infinite-Dimensional Lie Groups and G-Manifolds.” Journal of Differential Equations 343 (2023): 186–232. https://doi.org/10.1016/j.jde.2022.10.001.' ieee: 'H. Glöckner and J. Hilgert, “Aspects of control theory on infinite-dimensional Lie groups and G-manifolds,” Journal of Differential Equations, vol. 343, pp. 186–232, 2023, doi: 10.1016/j.jde.2022.10.001.' mla: Glöckner, Helge, and Joachim Hilgert. “Aspects of Control Theory on Infinite-Dimensional Lie Groups and G-Manifolds.” Journal of Differential Equations, vol. 343, 2023, pp. 186–232, doi:10.1016/j.jde.2022.10.001. short: H. Glöckner, J. Hilgert, Journal of Differential Equations 343 (2023) 186–232. date_created: 2022-12-21T19:31:13Z date_updated: 2024-03-22T16:02:32Z department: - _id: '10' - _id: '87' - _id: '93' - _id: '91' doi: 10.1016/j.jde.2022.10.001 external_id: arxiv: - '2007.11277' intvolume: ' 343' keyword: - '22E65' - 28B05 - 34A12 - 34H05 - '46E30' - '46E40' language: - iso: eng page: 186–232 publication: Journal of Differential Equations publication_identifier: issn: - 0022-0396 quality_controlled: '1' status: public title: Aspects of control theory on infinite-dimensional Lie groups and G-manifolds type: journal_article user_id: '178' volume: 343 year: '2023' ... --- _id: '45191' alternative_title: - An Interdisciplinary Concept of Digital Working Environments in Industry 4.0 citation: ama: Gräßler I, Maier GW, Steffen E, Roesmann D, eds. The Digital Twin of Humans. Springer International Publishing; 2023. doi:10.1007/978-3-031-26104-6 apa: Gräßler, I., Maier, G. W., Steffen, E., & Roesmann, D. (Eds.). (2023). The Digital Twin of Humans. Springer International Publishing. https://doi.org/10.1007/978-3-031-26104-6 bibtex: '@book{Gräßler_Maier_Steffen_Roesmann_2023, place={Cham}, title={The Digital Twin of Humans}, DOI={10.1007/978-3-031-26104-6}, publisher={Springer International Publishing}, year={2023} }' chicago: 'Gräßler, Iris, Günter W. Maier, Eckhard Steffen, and Daniel Roesmann, eds. The Digital Twin of Humans. Cham: Springer International Publishing, 2023. https://doi.org/10.1007/978-3-031-26104-6.' ieee: 'I. Gräßler, G. W. Maier, E. Steffen, and D. Roesmann, Eds., The Digital Twin of Humans. Cham: Springer International Publishing, 2023.' mla: Gräßler, Iris, et al., editors. The Digital Twin of Humans. Springer International Publishing, 2023, doi:10.1007/978-3-031-26104-6. short: I. Gräßler, G.W. Maier, E. Steffen, D. Roesmann, eds., The Digital Twin of Humans, Springer International Publishing, Cham, 2023. date_created: 2023-05-22T10:24:10Z date_updated: 2024-03-25T09:07:55Z department: - _id: '542' - _id: '152' doi: 10.1007/978-3-031-26104-6 editor: - first_name: Iris full_name: Gräßler, Iris id: '47565' last_name: Gräßler orcid: 0000-0001-5765-971X - first_name: Günter W. full_name: Maier, Günter W. last_name: Maier - first_name: Eckhard full_name: Steffen, Eckhard id: '15548' last_name: Steffen orcid: 0000-0002-9808-7401 - first_name: Daniel full_name: Roesmann, Daniel id: '54680' last_name: Roesmann language: - iso: eng place: Cham publication_identifier: isbn: - '9783031261039' - '9783031261046' publication_status: published publisher: Springer International Publishing quality_controlled: '1' status: public title: The Digital Twin of Humans type: book_editor user_id: '5905' year: '2023' ... --- _id: '52806' author: - first_name: H. full_name: Gilbert, H. last_name: Gilbert - first_name: M. full_name: Schürmann, M. last_name: Schürmann - first_name: M. full_name: Liebendörfer, M. last_name: Liebendörfer - first_name: D. full_name: Lawson, D. last_name: Lawson - first_name: M. full_name: Hodds, M. last_name: Hodds citation: ama: 'Gilbert H, Schürmann M, Liebendörfer M, Lawson D, Hodds M. Post-pandemic online mathematics and statistics support: Practitioners’ opinions in Germany and Great Britain & Ireland. International Journal of Mathematical Education in Science and Technology. Published online 2023:1-26. doi:10.1080/0020739x.2023.2184282' apa: 'Gilbert, H., Schürmann, M., Liebendörfer, M., Lawson, D., & Hodds, M. (2023). Post-pandemic online mathematics and statistics support: Practitioners’ opinions in Germany and Great Britain & Ireland. International Journal of Mathematical Education in Science and Technology, 1–26. https://doi.org/10.1080/0020739x.2023.2184282' bibtex: '@article{Gilbert_Schürmann_Liebendörfer_Lawson_Hodds_2023, title={Post-pandemic online mathematics and statistics support: Practitioners’ opinions in Germany and Great Britain & Ireland}, DOI={10.1080/0020739x.2023.2184282}, journal={International Journal of Mathematical Education in Science and Technology}, publisher={Informa UK Limited}, author={Gilbert, H. and Schürmann, M. and Liebendörfer, M. and Lawson, D. and Hodds, M.}, year={2023}, pages={1–26} }' chicago: 'Gilbert, H., M. Schürmann, M. Liebendörfer, D. Lawson, and M. Hodds. “Post-Pandemic Online Mathematics and Statistics Support: Practitioners’ Opinions in Germany and Great Britain & Ireland.” International Journal of Mathematical Education in Science and Technology, 2023, 1–26. https://doi.org/10.1080/0020739x.2023.2184282.' ieee: 'H. Gilbert, M. Schürmann, M. Liebendörfer, D. Lawson, and M. Hodds, “Post-pandemic online mathematics and statistics support: Practitioners’ opinions in Germany and Great Britain & Ireland,” International Journal of Mathematical Education in Science and Technology, pp. 1–26, 2023, doi: 10.1080/0020739x.2023.2184282.' mla: 'Gilbert, H., et al. “Post-Pandemic Online Mathematics and Statistics Support: Practitioners’ Opinions in Germany and Great Britain & Ireland.” International Journal of Mathematical Education in Science and Technology, Informa UK Limited, 2023, pp. 1–26, doi:10.1080/0020739x.2023.2184282.' short: H. Gilbert, M. Schürmann, M. Liebendörfer, D. Lawson, M. Hodds, International Journal of Mathematical Education in Science and Technology (2023) 1–26. date_created: 2024-03-25T10:02:09Z date_updated: 2024-03-25T10:09:21Z department: - _id: '10' - _id: '625' - _id: '34' - _id: '97' - _id: '98' doi: 10.1080/0020739x.2023.2184282 keyword: - Applied Mathematics - Education - Mathematics (miscellaneous) language: - iso: eng page: 1-26 publication: International Journal of Mathematical Education in Science and Technology publication_identifier: issn: - 0020-739X - 1464-5211 publication_status: published publisher: Informa UK Limited status: public title: 'Post-pandemic online mathematics and statistics support: Practitioners’ opinions in Germany and Great Britain & Ireland' type: journal_article user_id: '30933' year: '2023' ... --- _id: '52811' author: - first_name: Rolf full_name: Biehler, Rolf last_name: Biehler - first_name: Dominik full_name: Guntermann, Dominik last_name: Guntermann - first_name: Michael full_name: Liebendörfer, Michael last_name: Liebendörfer - first_name: Sandra full_name: Krämer, Sandra last_name: Krämer - first_name: Sarah full_name: Schlüter, Sarah last_name: Schlüter citation: ama: 'Biehler R, Guntermann D, Liebendörfer M, Krämer S, Schlüter S. Fachdidaktisches Design von Begründungsvideos im Projekt studiVEMINTvideos. In: Goethe-Universität Frankfur I-P, ed. Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik. Vol 1. WTM; 2023:407–410. doi:10.37626/GA9783959872089.0' apa: Biehler, R., Guntermann, D., Liebendörfer, M., Krämer, S., & Schlüter, S. (2023). Fachdidaktisches Design von Begründungsvideos im Projekt studiVEMINTvideos. In I.-P. Goethe-Universität Frankfur (Ed.), Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik (Vol. 1, pp. 407–410). WTM. https://doi.org/10.37626/GA9783959872089.0 bibtex: '@inbook{Biehler_Guntermann_Liebendörfer_Krämer_Schlüter_2023, place={Münster}, title={Fachdidaktisches Design von Begründungsvideos im Projekt studiVEMINTvideos}, volume={1}, DOI={10.37626/GA9783959872089.0}, booktitle={Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik}, publisher={WTM}, author={Biehler, Rolf and Guntermann, Dominik and Liebendörfer, Michael and Krämer, Sandra and Schlüter, Sarah}, editor={Goethe-Universität Frankfur, IDMI-Primar}, year={2023}, pages={407–410} }' chicago: 'Biehler, Rolf, Dominik Guntermann, Michael Liebendörfer, Sandra Krämer, and Sarah Schlüter. “Fachdidaktisches Design von Begründungsvideos Im Projekt StudiVEMINTvideos.” In Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik, edited by IDMI-Primar Goethe-Universität Frankfur, 1:407–410. Münster: WTM, 2023. https://doi.org/10.37626/GA9783959872089.0.' ieee: 'R. Biehler, D. Guntermann, M. Liebendörfer, S. Krämer, and S. Schlüter, “Fachdidaktisches Design von Begründungsvideos im Projekt studiVEMINTvideos,” in Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik, vol. 1, I.-P. Goethe-Universität Frankfur, Ed. Münster: WTM, 2023, pp. 407–410.' mla: Biehler, Rolf, et al. “Fachdidaktisches Design von Begründungsvideos Im Projekt StudiVEMINTvideos.” Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik, edited by IDMI-Primar Goethe-Universität Frankfur, vol. 1, WTM, 2023, pp. 407–410, doi:10.37626/GA9783959872089.0. short: 'R. Biehler, D. Guntermann, M. Liebendörfer, S. Krämer, S. Schlüter, in: I.-P. Goethe-Universität Frankfur (Ed.), Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik, WTM, Münster, 2023, pp. 407–410.' date_created: 2024-03-25T10:06:08Z date_updated: 2024-03-25T10:09:41Z department: - _id: '10' - _id: '625' - _id: '34' - _id: '97' - _id: '98' doi: 10.37626/GA9783959872089.0 editor: - first_name: IDMI-Primar full_name: Goethe-Universität Frankfur, IDMI-Primar last_name: Goethe-Universität Frankfur intvolume: ' 1' page: 407–410 place: Münster publication: Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik publication_identifier: isbn: - 978-3-95987-208-9 publisher: WTM status: public title: Fachdidaktisches Design von Begründungsvideos im Projekt studiVEMINTvideos type: book_chapter user_id: '30933' volume: 1 year: '2023' ... --- _id: '52810' author: - first_name: Robin full_name: Göller, Robin last_name: Göller - first_name: Lara full_name: Gildehaus, Lara last_name: Gildehaus - first_name: Michael full_name: Liebendörfer, Michael last_name: Liebendörfer - first_name: Michael full_name: Besser, Michael last_name: Besser citation: ama: 'Göller R, Gildehaus L, Liebendörfer M, Besser M. Erfassung und Vergleich (mathematischer) Eingangsvoraussetzungen angehender Studierender verschiedener mathematikhaltiger Studiengänge. In: Härterich J, Kallweit M, Rolka K, Skill T, eds. Hanse-Kolloquium Zur Hochschuldidaktik Der Mathematik 2021. Beiträge Zum Gleichnamigen Online-Symposium Am 12 November 2021 Aus Bochum. WTM; 2023:66–80.' apa: Göller, R., Gildehaus, L., Liebendörfer, M., & Besser, M. (2023). Erfassung und Vergleich (mathematischer) Eingangsvoraussetzungen angehender Studierender verschiedener mathematikhaltiger Studiengänge. In J. Härterich, M. Kallweit, K. Rolka, & T. Skill (Eds.), Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2021. Beiträge zum gleichnamigen Online-Symposium am 12 November 2021 aus Bochum (pp. 66–80). WTM. bibtex: '@inbook{Göller_Gildehaus_Liebendörfer_Besser_2023, place={Münster}, title={Erfassung und Vergleich (mathematischer) Eingangsvoraussetzungen angehender Studierender verschiedener mathematikhaltiger Studiengänge}, booktitle={Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2021. Beiträge zum gleichnamigen Online-Symposium am 12 November 2021 aus Bochum}, publisher={WTM}, author={Göller, Robin and Gildehaus, Lara and Liebendörfer, Michael and Besser, Michael}, editor={Härterich, Jörg and Kallweit, Michael and Rolka, Katrin and Skill, Thomas}, year={2023}, pages={66–80} }' chicago: 'Göller, Robin, Lara Gildehaus, Michael Liebendörfer, and Michael Besser. “Erfassung Und Vergleich (Mathematischer) Eingangsvoraussetzungen Angehender Studierender Verschiedener Mathematikhaltiger Studiengänge.” In Hanse-Kolloquium Zur Hochschuldidaktik Der Mathematik 2021. Beiträge Zum Gleichnamigen Online-Symposium Am 12 November 2021 Aus Bochum, edited by Jörg Härterich, Michael Kallweit, Katrin Rolka, and Thomas Skill, 66–80. Münster: WTM, 2023.' ieee: 'R. Göller, L. Gildehaus, M. Liebendörfer, and M. Besser, “Erfassung und Vergleich (mathematischer) Eingangsvoraussetzungen angehender Studierender verschiedener mathematikhaltiger Studiengänge,” in Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2021. Beiträge zum gleichnamigen Online-Symposium am 12 November 2021 aus Bochum, J. Härterich, M. Kallweit, K. Rolka, and T. Skill, Eds. Münster: WTM, 2023, pp. 66–80.' mla: Göller, Robin, et al. “Erfassung Und Vergleich (Mathematischer) Eingangsvoraussetzungen Angehender Studierender Verschiedener Mathematikhaltiger Studiengänge.” Hanse-Kolloquium Zur Hochschuldidaktik Der Mathematik 2021. Beiträge Zum Gleichnamigen Online-Symposium Am 12 November 2021 Aus Bochum, edited by Jörg Härterich et al., WTM, 2023, pp. 66–80. short: 'R. Göller, L. Gildehaus, M. Liebendörfer, M. Besser, in: J. Härterich, M. Kallweit, K. Rolka, T. Skill (Eds.), Hanse-Kolloquium Zur Hochschuldidaktik Der Mathematik 2021. Beiträge Zum Gleichnamigen Online-Symposium Am 12 November 2021 Aus Bochum, WTM, Münster, 2023, pp. 66–80.' date_created: 2024-03-25T10:05:57Z date_updated: 2024-03-25T10:09:46Z department: - _id: '10' - _id: '625' - _id: '34' - _id: '97' - _id: '98' editor: - first_name: Jörg full_name: Härterich, Jörg last_name: Härterich - first_name: Michael full_name: Kallweit, Michael last_name: Kallweit - first_name: Katrin full_name: Rolka, Katrin last_name: Rolka - first_name: Thomas full_name: Skill, Thomas last_name: Skill page: 66–80 place: Münster publication: Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2021. Beiträge zum gleichnamigen Online-Symposium am 12 November 2021 aus Bochum publication_identifier: isbn: - 978-3-95987-264-5 publisher: WTM status: public title: Erfassung und Vergleich (mathematischer) Eingangsvoraussetzungen angehender Studierender verschiedener mathematikhaltiger Studiengänge type: book_chapter user_id: '30933' year: '2023' ... --- _id: '52809' author: - first_name: Leander full_name: Kempen, Leander last_name: Kempen - first_name: Michael full_name: Liebendörfer, Michael last_name: Liebendörfer citation: ama: 'Kempen L, Liebendörfer M. Zu digital - zu viel - zu schwer? Qualitative Einsichten in das Erleben und Handeln von Erstsemester-Studierenden der Mathematik während der Corona-Pandemie. In: Härterich J, Kallweit M, Rolka K, Skill T, eds. Hanse-Kolloquium Zur Hochschuldidaktik Der Mathematik 2021. Beiträge Zum Gleichnamigen Online-Symposium Am 12 November 2021 Aus Bochum. WTM; 2023:91–106.' apa: Kempen, L., & Liebendörfer, M. (2023). Zu digital - zu viel - zu schwer? Qualitative Einsichten in das Erleben und Handeln von Erstsemester-Studierenden der Mathematik während der Corona-Pandemie. In J. Härterich, M. Kallweit, K. Rolka, & T. Skill (Eds.), Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2021. Beiträge zum gleichnamigen Online-Symposium am 12 November 2021 aus Bochum (pp. 91–106). WTM. bibtex: '@inbook{Kempen_Liebendörfer_2023, place={Münster}, title={Zu digital - zu viel - zu schwer? Qualitative Einsichten in das Erleben und Handeln von Erstsemester-Studierenden der Mathematik während der Corona-Pandemie}, booktitle={Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2021. Beiträge zum gleichnamigen Online-Symposium am 12 November 2021 aus Bochum}, publisher={WTM}, author={Kempen, Leander and Liebendörfer, Michael}, editor={Härterich, Jörg and Kallweit, Michael and Rolka, Katrin and Skill, Thomas}, year={2023}, pages={91–106} }' chicago: 'Kempen, Leander, and Michael Liebendörfer. “Zu Digital - Zu Viel - Zu Schwer? Qualitative Einsichten in Das Erleben Und Handeln von Erstsemester-Studierenden Der Mathematik Während Der Corona-Pandemie.” In Hanse-Kolloquium Zur Hochschuldidaktik Der Mathematik 2021. Beiträge Zum Gleichnamigen Online-Symposium Am 12 November 2021 Aus Bochum, edited by Jörg Härterich, Michael Kallweit, Katrin Rolka, and Thomas Skill, 91–106. Münster: WTM, 2023.' ieee: 'L. Kempen and M. Liebendörfer, “Zu digital - zu viel - zu schwer? Qualitative Einsichten in das Erleben und Handeln von Erstsemester-Studierenden der Mathematik während der Corona-Pandemie,” in Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2021. Beiträge zum gleichnamigen Online-Symposium am 12 November 2021 aus Bochum, J. Härterich, M. Kallweit, K. Rolka, and T. Skill, Eds. Münster: WTM, 2023, pp. 91–106.' mla: Kempen, Leander, and Michael Liebendörfer. “Zu Digital - Zu Viel - Zu Schwer? Qualitative Einsichten in Das Erleben Und Handeln von Erstsemester-Studierenden Der Mathematik Während Der Corona-Pandemie.” Hanse-Kolloquium Zur Hochschuldidaktik Der Mathematik 2021. Beiträge Zum Gleichnamigen Online-Symposium Am 12 November 2021 Aus Bochum, edited by Jörg Härterich et al., WTM, 2023, pp. 91–106. short: 'L. Kempen, M. Liebendörfer, in: J. Härterich, M. Kallweit, K. Rolka, T. Skill (Eds.), Hanse-Kolloquium Zur Hochschuldidaktik Der Mathematik 2021. Beiträge Zum Gleichnamigen Online-Symposium Am 12 November 2021 Aus Bochum, WTM, Münster, 2023, pp. 91–106.' date_created: 2024-03-25T10:05:42Z date_updated: 2024-03-25T10:09:51Z department: - _id: '10' - _id: '625' - _id: '34' - _id: '97' - _id: '98' editor: - first_name: Jörg full_name: Härterich, Jörg last_name: Härterich - first_name: Michael full_name: Kallweit, Michael last_name: Kallweit - first_name: Katrin full_name: Rolka, Katrin last_name: Rolka - first_name: Thomas full_name: Skill, Thomas last_name: Skill page: 91–106 place: Münster publication: Hanse-Kolloquium zur Hochschuldidaktik der Mathematik 2021. Beiträge zum gleichnamigen Online-Symposium am 12 November 2021 aus Bochum publication_identifier: isbn: - 978-3-95987-264-5 publisher: WTM status: public title: Zu digital - zu viel - zu schwer? Qualitative Einsichten in das Erleben und Handeln von Erstsemester-Studierenden der Mathematik während der Corona-Pandemie type: book_chapter user_id: '30933' year: '2023' ... --- _id: '52813' author: - first_name: Sarah full_name: Schlüter, Sarah last_name: Schlüter - first_name: Michael full_name: Liebendörfer, Michael last_name: Liebendörfer citation: ama: 'Schlüter S, Liebendörfer M. Bearbeitungsmuster von Studierenden im Umgang mit formalen Definitionen im Kontext konstanter Folgen. In: Goethe-Universität Frankfur I-P, ed. Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik. Vol 2. WTM; 2023:1177–1180. doi:10.37626/GA9783959872089.0' apa: Schlüter, S., & Liebendörfer, M. (2023). Bearbeitungsmuster von Studierenden im Umgang mit formalen Definitionen im Kontext konstanter Folgen. In I.-P. Goethe-Universität Frankfur (Ed.), Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik (Vol. 2, pp. 1177–1180). WTM. https://doi.org/10.37626/GA9783959872089.0 bibtex: '@inbook{Schlüter_Liebendörfer_2023, place={Münster}, title={Bearbeitungsmuster von Studierenden im Umgang mit formalen Definitionen im Kontext konstanter Folgen}, volume={2}, DOI={10.37626/GA9783959872089.0}, booktitle={Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik}, publisher={WTM}, author={Schlüter, Sarah and Liebendörfer, Michael}, editor={Goethe-Universität Frankfur, IDMI-Primar}, year={2023}, pages={1177–1180} }' chicago: 'Schlüter, Sarah, and Michael Liebendörfer. “Bearbeitungsmuster von Studierenden Im Umgang Mit Formalen Definitionen Im Kontext Konstanter Folgen.” In Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik, edited by IDMI-Primar Goethe-Universität Frankfur, 2:1177–1180. Münster: WTM, 2023. https://doi.org/10.37626/GA9783959872089.0.' ieee: 'S. Schlüter and M. Liebendörfer, “Bearbeitungsmuster von Studierenden im Umgang mit formalen Definitionen im Kontext konstanter Folgen,” in Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik, vol. 2, I.-P. Goethe-Universität Frankfur, Ed. Münster: WTM, 2023, pp. 1177–1180.' mla: Schlüter, Sarah, and Michael Liebendörfer. “Bearbeitungsmuster von Studierenden Im Umgang Mit Formalen Definitionen Im Kontext Konstanter Folgen.” Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik, edited by IDMI-Primar Goethe-Universität Frankfur, vol. 2, WTM, 2023, pp. 1177–1180, doi:10.37626/GA9783959872089.0. short: 'S. Schlüter, M. Liebendörfer, in: I.-P. Goethe-Universität Frankfur (Ed.), Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik, WTM, Münster, 2023, pp. 1177–1180.' date_created: 2024-03-25T10:06:24Z date_updated: 2024-03-25T10:09:27Z department: - _id: '10' - _id: '625' - _id: '34' - _id: '97' - _id: '98' doi: 10.37626/GA9783959872089.0 editor: - first_name: IDMI-Primar full_name: Goethe-Universität Frankfur, IDMI-Primar last_name: Goethe-Universität Frankfur intvolume: ' 2' page: 1177–1180 place: Münster publication: Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik publication_identifier: isbn: - 978-3-95987-208-9 publisher: WTM status: public title: Bearbeitungsmuster von Studierenden im Umgang mit formalen Definitionen im Kontext konstanter Folgen type: book_chapter user_id: '30933' volume: 2 year: '2023' ... --- _id: '52812' author: - first_name: Sandra full_name: Krämer, Sandra last_name: Krämer - first_name: Michael full_name: Liebendörfer, Michael last_name: Liebendörfer citation: ama: 'Krämer S, Liebendörfer M. Förderung prozeduraler Flexibilität durch Lernvideos mit interaktiven Aufgaben. In: Goethe-Universität Frankfur I-P, ed. Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik. Vol 2. WTM; 2023:949–952. doi:10.37626/GA9783959872089.0' apa: Krämer, S., & Liebendörfer, M. (2023). Förderung prozeduraler Flexibilität durch Lernvideos mit interaktiven Aufgaben. In I.-P. Goethe-Universität Frankfur (Ed.), Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik (Vol. 2, pp. 949–952). WTM. https://doi.org/10.37626/GA9783959872089.0 bibtex: '@inbook{Krämer_Liebendörfer_2023, place={Münster}, title={Förderung prozeduraler Flexibilität durch Lernvideos mit interaktiven Aufgaben}, volume={2}, DOI={10.37626/GA9783959872089.0}, booktitle={Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik}, publisher={WTM}, author={Krämer, Sandra and Liebendörfer, Michael}, editor={Goethe-Universität Frankfur, IDMI-Primar}, year={2023}, pages={949–952} }' chicago: 'Krämer, Sandra, and Michael Liebendörfer. “Förderung Prozeduraler Flexibilität Durch Lernvideos Mit Interaktiven Aufgaben.” In Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik, edited by IDMI-Primar Goethe-Universität Frankfur, 2:949–952. Münster: WTM, 2023. https://doi.org/10.37626/GA9783959872089.0.' ieee: 'S. Krämer and M. Liebendörfer, “Förderung prozeduraler Flexibilität durch Lernvideos mit interaktiven Aufgaben,” in Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik, vol. 2, I.-P. Goethe-Universität Frankfur, Ed. Münster: WTM, 2023, pp. 949–952.' mla: Krämer, Sandra, and Michael Liebendörfer. “Förderung Prozeduraler Flexibilität Durch Lernvideos Mit Interaktiven Aufgaben.” Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik, edited by IDMI-Primar Goethe-Universität Frankfur, vol. 2, WTM, 2023, pp. 949–952, doi:10.37626/GA9783959872089.0. short: 'S. Krämer, M. Liebendörfer, in: I.-P. Goethe-Universität Frankfur (Ed.), Beiträge Zum Mathematikunterricht 2022. 56. Jahrestagung Der Gesellschaft Für Didaktik Der Mathematik, WTM, Münster, 2023, pp. 949–952.' date_created: 2024-03-25T10:06:16Z date_updated: 2024-03-25T10:09:35Z department: - _id: '10' - _id: '625' - _id: '34' - _id: '97' - _id: '98' doi: 10.37626/GA9783959872089.0 editor: - first_name: IDMI-Primar full_name: Goethe-Universität Frankfur, IDMI-Primar last_name: Goethe-Universität Frankfur intvolume: ' 2' page: 949–952 place: Münster publication: Beiträge zum Mathematikunterricht 2022. 56. Jahrestagung der Gesellschaft für Didaktik der Mathematik publication_identifier: isbn: - 978-3-95987-208-9 publisher: WTM status: public title: Förderung prozeduraler Flexibilität durch Lernvideos mit interaktiven Aufgaben type: book_chapter user_id: '30933' volume: 2 year: '2023' ... --- _id: '52807' abstract: - lang: eng text: Many preservice mathematics teachers lose their motivation during their first year at university. This phenomenon has been repeatedly described in recent years but is not yet fully under­stood. Since motivation may relate to different objects such as mathematics or teaching, we aim to qualitatively reconstruct different facets of the central motivational constructs of Situated-Expectancy-Value theory (intrinsic value, attainment value, utility value, cost, and expectancy of success) for preservice mathematics teachers. The analysis of longitudinal group interviews of 14 pre­service higher-secondary mathematic teachers from a German university revealed different objects of motivation (e.g., teaching mathematics, scientific mathematics, procedural mathematics, or proof-based mathematics) in preservice teachers' values and expectancy of success. Furthermore, relations between those values and expectancy of success were identified that played a significant role in preservice teachers’ motivational development over their first semester (e.g., relations of attain­ment value for scientific mathematics and psychological cost). Theoretical and practical implications towards a teaching-specific conceptualization of expectancy of success and values and value interventions are being discussed. citation: ama: Preservice teachers’ mathematics-related values and expectancy in the transition from school to university. Published online 2023. doi:10.48489/QUADRANTE.31191 apa: Preservice teachers’ mathematics-related values and expectancy in the transition from school to university. (2023). https://doi.org/10.48489/QUADRANTE.31191 bibtex: '@article{Preservice teachers’ mathematics-related values and expectancy in the transition from school to university_2023, DOI={10.48489/QUADRANTE.31191}, year={2023} }' chicago: “Preservice Teachers’ Mathematics-Related Values and Expectancy in the Transition from School to University,” 2023. https://doi.org/10.48489/QUADRANTE.31191. ieee: '“Preservice teachers’ mathematics-related values and expectancy in the transition from school to university,” 2023, doi: 10.48489/QUADRANTE.31191.' mla: Preservice Teachers’ Mathematics-Related Values and Expectancy in the Transition from School to University. 2023, doi:10.48489/QUADRANTE.31191. short: (2023). date_created: 2024-03-25T10:02:25Z date_updated: 2024-03-25T10:10:11Z department: - _id: '10' - _id: '625' - _id: '34' - _id: '97' - _id: '98' doi: 10.48489/QUADRANTE.31191 language: - iso: en status: public title: Preservice teachers’ mathematics-related values and expectancy in the transition from school to university type: journal_article user_id: '30933' year: '2023' ... --- _id: '45971' abstract: - lang: eng text: "Abstract\r\n An error estimate for a canonical discretization of the harmonic map heat flow into spheres is derived. The numerical scheme uses standard finite elements with a nodal treatment of linearized unit-length constraints. The analysis is based on elementary approximation results and only uses the discrete weak formulation." author: - first_name: Sören full_name: Bartels, Sören last_name: Bartels - first_name: Balázs full_name: Kovács, Balázs id: '100441' last_name: Kovács orcid: 0000-0001-9872-3474 - first_name: Zhangxian full_name: Wang, Zhangxian last_name: Wang citation: ama: Bartels S, Kovács B, Wang Z. Error analysis for the numerical approximation of the harmonic map heat flow with nodal constraints. IMA Journal of Numerical Analysis. Published online 2023. doi:10.1093/imanum/drad037 apa: Bartels, S., Kovács, B., & Wang, Z. (2023). Error analysis for the numerical approximation of the harmonic map heat flow with nodal constraints. IMA Journal of Numerical Analysis. https://doi.org/10.1093/imanum/drad037 bibtex: '@article{Bartels_Kovács_Wang_2023, title={Error analysis for the numerical approximation of the harmonic map heat flow with nodal constraints}, DOI={10.1093/imanum/drad037}, journal={IMA Journal of Numerical Analysis}, publisher={Oxford University Press (OUP)}, author={Bartels, Sören and Kovács, Balázs and Wang, Zhangxian}, year={2023} }' chicago: Bartels, Sören, Balázs Kovács, and Zhangxian Wang. “Error Analysis for the Numerical Approximation of the Harmonic Map Heat Flow with Nodal Constraints.” IMA Journal of Numerical Analysis, 2023. https://doi.org/10.1093/imanum/drad037. ieee: 'S. Bartels, B. Kovács, and Z. Wang, “Error analysis for the numerical approximation of the harmonic map heat flow with nodal constraints,” IMA Journal of Numerical Analysis, 2023, doi: 10.1093/imanum/drad037.' mla: Bartels, Sören, et al. “Error Analysis for the Numerical Approximation of the Harmonic Map Heat Flow with Nodal Constraints.” IMA Journal of Numerical Analysis, Oxford University Press (OUP), 2023, doi:10.1093/imanum/drad037. short: S. Bartels, B. Kovács, Z. Wang, IMA Journal of Numerical Analysis (2023). date_created: 2023-07-10T12:32:10Z date_updated: 2024-04-03T09:15:27Z department: - _id: '841' doi: 10.1093/imanum/drad037 keyword: - Applied Mathematics - Computational Mathematics - General Mathematics language: - iso: eng publication: IMA Journal of Numerical Analysis publication_identifier: issn: - 0272-4979 - 1464-3642 publication_status: published publisher: Oxford University Press (OUP) status: public title: Error analysis for the numerical approximation of the harmonic map heat flow with nodal constraints type: journal_article user_id: '100441' year: '2023' ... --- _id: '53140' abstract: - lang: eng text: We present a new stability and error analysis of fully discrete approximation schemes for the transient Stokes equation. For the spatial discretization, we consider a wide class of Galerkin finite element methods which includes both inf-sup stable spaces and symmetric pressure stabilized formulations. We extend the results from Burman and Fernández [\textit{SIAM J. Numer. Anal.}, 47 (2009), pp. 409-439] and provide a unified theoretical analysis of backward difference formulae (BDF methods) of order 1 to 6. The main novelty of our approach lies in the use of Dahlquist's G-stability concept together with multiplier techniques introduced by Nevannlina-Odeh and recently by Akrivis et al. [\textit{SIAM J. Numer. Anal.}, 59 (2021), pp. 2449-2472] to derive optimal stability and error estimates for both the velocity and the pressure. When combined with a method dependent Ritz projection for the initial data, unconditional stability can be shown while for arbitrary interpolation, pressure stability is subordinate to the fulfillment of a mild inverse CFL-type condition between space and time discretizations. author: - first_name: Alessandro full_name: Contri, Alessandro last_name: Contri - first_name: Balázs full_name: Kovács, Balázs id: '100441' last_name: Kovács orcid: 0000-0001-9872-3474 - first_name: André full_name: Massing, André last_name: Massing citation: ama: 'Contri A, Kovács B, Massing A. Error analysis of BDF 1-6 time-stepping methods for the transient Stokes problem: velocity and pressure estimates. arXiv. Published online 2023. doi:10.48550/ARXIV.2312.05511' apa: 'Contri, A., Kovács, B., & Massing, A. (2023). Error analysis of BDF 1-6 time-stepping methods for the transient Stokes problem: velocity and pressure estimates. ArXiv. https://doi.org/10.48550/ARXIV.2312.05511' bibtex: '@article{Contri_Kovács_Massing_2023, title={Error analysis of BDF 1-6 time-stepping methods for the transient Stokes problem: velocity and pressure estimates}, DOI={10.48550/ARXIV.2312.05511}, journal={arXiv}, author={Contri, Alessandro and Kovács, Balázs and Massing, André}, year={2023} }' chicago: 'Contri, Alessandro, Balázs Kovács, and André Massing. “Error Analysis of BDF 1-6 Time-Stepping Methods for the Transient Stokes Problem: Velocity and Pressure Estimates.” ArXiv, 2023. https://doi.org/10.48550/ARXIV.2312.05511.' ieee: 'A. Contri, B. Kovács, and A. Massing, “Error analysis of BDF 1-6 time-stepping methods for the transient Stokes problem: velocity and pressure estimates,” arXiv, 2023, doi: 10.48550/ARXIV.2312.05511.' mla: 'Contri, Alessandro, et al. “Error Analysis of BDF 1-6 Time-Stepping Methods for the Transient Stokes Problem: Velocity and Pressure Estimates.” ArXiv, 2023, doi:10.48550/ARXIV.2312.05511.' short: A. Contri, B. Kovács, A. Massing, ArXiv (2023). date_created: 2024-04-03T09:08:38Z date_updated: 2024-04-03T09:12:47Z department: - _id: '841' doi: 10.48550/ARXIV.2312.05511 language: - iso: eng publication: arXiv status: public title: 'Error analysis of BDF 1-6 time-stepping methods for the transient Stokes problem: velocity and pressure estimates' type: journal_article user_id: '100441' year: '2023' ... --- _id: '53142' author: - first_name: Thomas full_name: Berger, Thomas id: '77457' last_name: Berger - first_name: Lukas full_name: Lanza, Lukas last_name: Lanza citation: ama: 'Berger T, Lanza L. Funnel control of linear systems with arbitrary relative degree under output measurement losses. IMA Journal of Mathematical Control and Information,. 2023;40(4):691-713. doi:doi: 10.1093/imamci/dnad029' apa: 'Berger, T., & Lanza, L. (2023). Funnel control of linear systems with arbitrary relative degree under output measurement losses. IMA Journal of Mathematical Control and Information, 40(4), 691–713. https://doi.org/doi: 10.1093/imamci/dnad029' bibtex: '@article{Berger_Lanza_2023, title={Funnel control of linear systems with arbitrary relative degree under output measurement losses}, volume={40}, DOI={doi: 10.1093/imamci/dnad029}, number={4}, journal={IMA Journal of Mathematical Control and Information,}, author={Berger, Thomas and Lanza, Lukas}, year={2023}, pages={691–713} }' chicago: 'Berger, Thomas, and Lukas Lanza. “Funnel Control of Linear Systems with Arbitrary Relative Degree under Output Measurement Losses.” IMA Journal of Mathematical Control and Information, 40, no. 4 (2023): 691–713. https://doi.org/doi: 10.1093/imamci/dnad029.' ieee: 'T. Berger and L. Lanza, “Funnel control of linear systems with arbitrary relative degree under output measurement losses,” IMA Journal of Mathematical Control and Information, vol. 40, no. 4, pp. 691–713, 2023, doi: doi: 10.1093/imamci/dnad029.' mla: 'Berger, Thomas, and Lukas Lanza. “Funnel Control of Linear Systems with Arbitrary Relative Degree under Output Measurement Losses.” IMA Journal of Mathematical Control and Information, vol. 40, no. 4, 2023, pp. 691–713, doi:doi: 10.1093/imamci/dnad029.' short: T. Berger, L. Lanza, IMA Journal of Mathematical Control and Information, 40 (2023) 691–713. date_created: 2024-04-03T09:37:59Z date_updated: 2024-04-05T05:50:29Z department: - _id: '618' doi: 'doi: 10.1093/imamci/dnad029' intvolume: ' 40' issue: '4' language: - iso: eng page: 691-713 publication: IMA Journal of Mathematical Control and Information, status: public title: Funnel control of linear systems with arbitrary relative degree under output measurement losses type: journal_article user_id: '77457' volume: 40 year: '2023' ... --- _id: '53143' author: - first_name: J. G. full_name: Lee, J. G. last_name: Lee - first_name: Thomas full_name: Berger, Thomas id: '77457' last_name: Berger - first_name: S. full_name: Trenn, S. last_name: Trenn - first_name: H. full_name: Shim, H. last_name: Shim citation: ama: 'Lee JG, Berger T, Trenn S, Shim H. Edge-wise funnel output synchronization of heterogeneous agents with relative degree one. Automatica. 2023;156:Article 111204. doi:doi: 10.1016/j.automatica.2023.111204 (open access)' apa: 'Lee, J. G., Berger, T., Trenn, S., & Shim, H. (2023). Edge-wise funnel output synchronization of heterogeneous agents with relative degree one. Automatica, 156, Article 111204. https://doi.org/doi: 10.1016/j.automatica.2023.111204 (open access)' bibtex: '@article{Lee_Berger_Trenn_Shim_2023, title={Edge-wise funnel output synchronization of heterogeneous agents with relative degree one}, volume={156}, DOI={doi: 10.1016/j.automatica.2023.111204 (open access)}, journal={Automatica}, author={Lee, J. G. and Berger, Thomas and Trenn, S. and Shim, H.}, year={2023}, pages={Article 111204} }' chicago: 'Lee, J. G., Thomas Berger, S. Trenn, and H. Shim. “Edge-Wise Funnel Output Synchronization of Heterogeneous Agents with Relative Degree One.” Automatica 156 (2023): Article 111204. https://doi.org/doi: 10.1016/j.automatica.2023.111204 (open access).' ieee: 'J. G. Lee, T. Berger, S. Trenn, and H. Shim, “Edge-wise funnel output synchronization of heterogeneous agents with relative degree one,” Automatica, vol. 156, p. Article 111204, 2023, doi: doi: 10.1016/j.automatica.2023.111204 (open access).' mla: 'Lee, J. G., et al. “Edge-Wise Funnel Output Synchronization of Heterogeneous Agents with Relative Degree One.” Automatica, vol. 156, 2023, p. Article 111204, doi:doi: 10.1016/j.automatica.2023.111204 (open access).' short: J.G. Lee, T. Berger, S. Trenn, H. Shim, Automatica 156 (2023) Article 111204. date_created: 2024-04-03T09:56:35Z date_updated: 2024-04-05T05:52:28Z department: - _id: '618' doi: 'doi: 10.1016/j.automatica.2023.111204 (open access)' intvolume: ' 156' language: - iso: eng page: Article 111204 publication: Automatica status: public title: Edge-wise funnel output synchronization of heterogeneous agents with relative degree one type: journal_article user_id: '77457' volume: 156 year: '2023' ... --- _id: '51101' author: - first_name: Gerda full_name: Werth, Gerda id: '578' last_name: Werth citation: ama: 'Werth G. Neue Wege Im Mathematischen Unterricht: Auf Den Spuren Mathilde Vaertings. Springer Fachmedien Wiesbaden; 2023. doi:10.1007/978-3-658-42445-9' apa: 'Werth, G. (2023). Neue Wege im mathematischen Unterricht: Auf den Spuren Mathilde Vaertings. Springer Fachmedien Wiesbaden. https://doi.org/10.1007/978-3-658-42445-9' bibtex: '@book{Werth_2023, place={Wiesbaden}, title={Neue Wege im mathematischen Unterricht: Auf den Spuren Mathilde Vaertings}, DOI={10.1007/978-3-658-42445-9}, publisher={Springer Fachmedien Wiesbaden}, author={Werth, Gerda}, year={2023} }' chicago: 'Werth, Gerda. Neue Wege Im Mathematischen Unterricht: Auf Den Spuren Mathilde Vaertings. Wiesbaden: Springer Fachmedien Wiesbaden, 2023. https://doi.org/10.1007/978-3-658-42445-9.' ieee: 'G. Werth, Neue Wege im mathematischen Unterricht: Auf den Spuren Mathilde Vaertings. Wiesbaden: Springer Fachmedien Wiesbaden, 2023.' mla: 'Werth, Gerda. Neue Wege Im Mathematischen Unterricht: Auf Den Spuren Mathilde Vaertings. Springer Fachmedien Wiesbaden, 2023, doi:10.1007/978-3-658-42445-9.' short: 'G. Werth, Neue Wege Im Mathematischen Unterricht: Auf Den Spuren Mathilde Vaertings, Springer Fachmedien Wiesbaden, Wiesbaden, 2023.' date_created: 2024-01-31T13:08:37Z date_updated: 2024-04-09T11:07:16Z department: - _id: '34' - _id: '10' - _id: '98' - _id: '360' doi: 10.1007/978-3-658-42445-9 language: - iso: eng place: Wiesbaden publication_identifier: isbn: - '9783658424442' - '9783658424459' issn: - 2661-8591 - 2661-8605 publication_status: published publisher: Springer Fachmedien Wiesbaden status: public title: 'Neue Wege im mathematischen Unterricht: Auf den Spuren Mathilde Vaertings' type: book user_id: '578' year: '2023' ... --- _id: '51103' author: - first_name: Gerda full_name: Werth, Gerda id: '578' last_name: Werth citation: ama: Werth G. Standardkonstruktionen eigenständig entdecken. Mathilde Vaertings Idee der Selbstständigkeitsprobe. mathematik lehren. 2023;241:15-19. apa: Werth, G. (2023). Standardkonstruktionen eigenständig entdecken. Mathilde Vaertings Idee der Selbstständigkeitsprobe. mathematik lehren, 241, 15–19. bibtex: '@article{Werth_2023, title={Standardkonstruktionen eigenständig entdecken. Mathilde Vaertings Idee der Selbstständigkeitsprobe}, volume={241}, journal={mathematik lehren}, publisher={Friedrich}, author={Werth, Gerda}, year={2023}, pages={15–19} }' chicago: 'Werth, Gerda. “Standardkonstruktionen eigenständig entdecken. Mathilde Vaertings Idee der Selbstständigkeitsprobe.” mathematik lehren 241 (2023): 15–19.' ieee: G. Werth, “Standardkonstruktionen eigenständig entdecken. Mathilde Vaertings Idee der Selbstständigkeitsprobe,” mathematik lehren, vol. 241, pp. 15–19, 2023. mla: Werth, Gerda. “Standardkonstruktionen eigenständig entdecken. Mathilde Vaertings Idee der Selbstständigkeitsprobe.” mathematik lehren, vol. 241, Friedrich, 2023, pp. 15–19. short: G. Werth, mathematik lehren 241 (2023) 15–19. date_created: 2024-01-31T13:15:50Z date_updated: 2024-04-09T09:19:05Z department: - _id: '34' - _id: '10' - _id: '97' - _id: '360' intvolume: ' 241' language: - iso: ger page: 15-19 publication: mathematik lehren publication_status: published publisher: Friedrich status: public title: Standardkonstruktionen eigenständig entdecken. Mathilde Vaertings Idee der Selbstständigkeitsprobe type: journal_article user_id: '578' volume: 241 year: '2023' ... --- _id: '53404' abstract: - lang: eng text: "In this short note we observe, on locally symmetric spaces of higher rank, a\r\nconnection between the growth indicator function introduced by Quint and the\r\nmodified critical exponent of the Poincar\\'e series equipped with the\r\npolyhedral distance. As a consequence, we provide a different characterization\r\nof the bottom of the $L^2$-spectrum of the Laplace-Beltrami operator in terms\r\nof the growth indicator function. Moreover, we explore the relationship between\r\nthese three objects and the temperedness." author: - first_name: Lasse L. full_name: Wolf, Lasse L. last_name: Wolf - first_name: Hong-Wei full_name: Zhang, Hong-Wei last_name: Zhang citation: ama: Wolf LL, Zhang H-W. $L^2$-spectrum, growth indicator function and critical exponent on  locally symmetric spaces. arXiv:231111770. Published online 2023. apa: Wolf, L. L., & Zhang, H.-W. (2023). $L^2$-spectrum, growth indicator function and critical exponent on  locally symmetric spaces. In arXiv:2311.11770. bibtex: '@article{Wolf_Zhang_2023, title={$L^2$-spectrum, growth indicator function and critical exponent on  locally symmetric spaces}, journal={arXiv:2311.11770}, author={Wolf, Lasse L. and Zhang, Hong-Wei}, year={2023} }' chicago: Wolf, Lasse L., and Hong-Wei Zhang. “$L^2$-Spectrum, Growth Indicator Function and Critical Exponent on  Locally Symmetric Spaces.” ArXiv:2311.11770, 2023. ieee: L. L. Wolf and H.-W. Zhang, “$L^2$-spectrum, growth indicator function and critical exponent on  locally symmetric spaces,” arXiv:2311.11770. 2023. mla: Wolf, Lasse L., and Hong-Wei Zhang. “$L^2$-Spectrum, Growth Indicator Function and Critical Exponent on  Locally Symmetric Spaces.” ArXiv:2311.11770, 2023. short: L.L. Wolf, H.-W. Zhang, ArXiv:2311.11770 (2023). date_created: 2024-04-10T13:45:59Z date_updated: 2024-04-10T13:48:17Z department: - _id: '10' - _id: '548' external_id: arxiv: - '2311.11770' language: - iso: eng publication: arXiv:2311.11770 status: public title: $L^2$-spectrum, growth indicator function and critical exponent on locally symmetric spaces type: preprint user_id: '45027' year: '2023' ... --- _id: '53410' abstract: - lang: eng text: AbstractWe consider a geodesic billiard system consisting of a complete Riemannian manifold and an obstacle submanifold with boundary at which the trajectories of the geodesic flow experience specular reflections. We show that if the geodesic billiard system is hyperbolic on its trapped set and the latter is compact and non-grazing, the techniques for open hyperbolic systems developed by Dyatlov and Guillarmou (Ann Henri Poincaré 17(11):3089–3146, 2016) can be applied to a smooth model for the discontinuous flow defined by the non-grazing billiard trajectories. This allows us to obtain a meromorphic resolvent for the generator of the billiard flow. As an application we prove a meromorphic continuation of weighted zeta functions together with explicit residue formulae. In particular, our results apply to scattering by convex obstacles in the Euclidean plane. author: - first_name: Benjamin full_name: Delarue, Benjamin id: '70575' last_name: Delarue - first_name: Philipp full_name: Schütte, Philipp id: '50168' last_name: Schütte - first_name: Tobias full_name: Weich, Tobias id: '49178' last_name: Weich orcid: 0000-0002-9648-6919 citation: ama: Delarue B, Schütte P, Weich T. Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models. Annales Henri Poincaré. 2023;25(2):1607-1656. doi:10.1007/s00023-023-01379-x apa: Delarue, B., Schütte, P., & Weich, T. (2023). Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models. Annales Henri Poincaré, 25(2), 1607–1656. https://doi.org/10.1007/s00023-023-01379-x bibtex: '@article{Delarue_Schütte_Weich_2023, title={Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models}, volume={25}, DOI={10.1007/s00023-023-01379-x}, number={2}, journal={Annales Henri Poincaré}, publisher={Springer Science and Business Media LLC}, author={Delarue, Benjamin and Schütte, Philipp and Weich, Tobias}, year={2023}, pages={1607–1656} }' chicago: 'Delarue, Benjamin, Philipp Schütte, and Tobias Weich. “Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models.” Annales Henri Poincaré 25, no. 2 (2023): 1607–56. https://doi.org/10.1007/s00023-023-01379-x.' ieee: 'B. Delarue, P. Schütte, and T. Weich, “Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models,” Annales Henri Poincaré, vol. 25, no. 2, pp. 1607–1656, 2023, doi: 10.1007/s00023-023-01379-x.' mla: Delarue, Benjamin, et al. “Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models.” Annales Henri Poincaré, vol. 25, no. 2, Springer Science and Business Media LLC, 2023, pp. 1607–56, doi:10.1007/s00023-023-01379-x. short: B. Delarue, P. Schütte, T. Weich, Annales Henri Poincaré 25 (2023) 1607–1656. date_created: 2024-04-11T12:30:14Z date_updated: 2024-04-11T12:37:34Z department: - _id: '548' doi: 10.1007/s00023-023-01379-x intvolume: ' 25' issue: '2' keyword: - Mathematical Physics - Nuclear and High Energy Physics - Statistical and Nonlinear Physics language: - iso: eng page: 1607-1656 publication: Annales Henri Poincaré publication_identifier: issn: - 1424-0637 - 1424-0661 publication_status: published publisher: Springer Science and Business Media LLC status: public title: Resonances and Weighted Zeta Functions for Obstacle Scattering via Smooth Models type: journal_article user_id: '70575' volume: 25 year: '2023' ... --- _id: '53411' abstract: - lang: eng text: "We compute a Riemann-Roch formula for the invariant Riemann-Roch number of a\r\nquantizable Hamiltonian $S^1$-manifold $(M,\\omega,\\mathcal{J})$ in terms of the\r\ngeometry of its symplectic quotient, allowing $0$ to be a singular value of the\r\nmoment map $\\mathcal{J}:M\\to\\mathbb{R}$. The formula involves a new explicit\r\nlocal invariant of the singularities. Our approach relies on a complete\r\nsingular stationary phase expansion of the associated Witten integral." author: - first_name: Benjamin full_name: Delarue, Benjamin id: '70575' last_name: Delarue - first_name: Louis full_name: Ioos, Louis last_name: Ioos - first_name: Pablo full_name: Ramacher, Pablo last_name: Ramacher citation: ama: Delarue B, Ioos L, Ramacher P. A Riemann-Roch formula for singular reductions by circle actions. arXiv:230209894. Published online 2023. apa: Delarue, B., Ioos, L., & Ramacher, P. (2023). A Riemann-Roch formula for singular reductions by circle actions. In arXiv:2302.09894. bibtex: '@article{Delarue_Ioos_Ramacher_2023, title={A Riemann-Roch formula for singular reductions by circle actions}, journal={arXiv:2302.09894}, author={Delarue, Benjamin and Ioos, Louis and Ramacher, Pablo}, year={2023} }' chicago: Delarue, Benjamin, Louis Ioos, and Pablo Ramacher. “A Riemann-Roch Formula for Singular Reductions by Circle Actions.” ArXiv:2302.09894, 2023. ieee: B. Delarue, L. Ioos, and P. Ramacher, “A Riemann-Roch formula for singular reductions by circle actions,” arXiv:2302.09894. 2023. mla: Delarue, Benjamin, et al. “A Riemann-Roch Formula for Singular Reductions by Circle Actions.” ArXiv:2302.09894, 2023. short: B. Delarue, L. Ioos, P. Ramacher, ArXiv:2302.09894 (2023). date_created: 2024-04-11T12:30:42Z date_updated: 2024-04-11T12:37:09Z department: - _id: '548' external_id: arxiv: - '2302.09894' language: - iso: eng publication: arXiv:2302.09894 status: public title: A Riemann-Roch formula for singular reductions by circle actions type: preprint user_id: '70575' year: '2023' ... --- _id: '53538' abstract: - lang: eng text: AbstractWe study harmonic maps from a subset of the complex plane to a subset of the hyperbolic plane. In Fotiadis and Daskaloyannis (Nonlinear Anal 214, 112546, 2022), harmonic maps are related to the sinh-Gordon equation and a Bäcklund transformation is introduced, which connects solutions of the sinh-Gordon and sine-Gordon equation. We develop this machinery in order to construct new harmonic maps to the hyperbolic plane. author: - first_name: G. full_name: Polychrou, G. last_name: Polychrou - first_name: Efthymia full_name: Papageorgiou, Efthymia id: '100325' last_name: Papageorgiou - first_name: A. full_name: Fotiadis, A. last_name: Fotiadis - first_name: C. full_name: Daskaloyannis, C. last_name: Daskaloyannis citation: ama: Polychrou G, Papageorgiou E, Fotiadis A, Daskaloyannis C. New examples of harmonic maps to the hyperbolic plane via Bäcklund transformation. Revista Matemática Complutense. Published online 2023. doi:10.1007/s13163-023-00476-z apa: Polychrou, G., Papageorgiou, E., Fotiadis, A., & Daskaloyannis, C. (2023). New examples of harmonic maps to the hyperbolic plane via Bäcklund transformation. Revista Matemática Complutense. https://doi.org/10.1007/s13163-023-00476-z bibtex: '@article{Polychrou_Papageorgiou_Fotiadis_Daskaloyannis_2023, title={New examples of harmonic maps to the hyperbolic plane via Bäcklund transformation}, DOI={10.1007/s13163-023-00476-z}, journal={Revista Matemática Complutense}, publisher={Springer Science and Business Media LLC}, author={Polychrou, G. and Papageorgiou, Efthymia and Fotiadis, A. and Daskaloyannis, C.}, year={2023} }' chicago: Polychrou, G., Efthymia Papageorgiou, A. Fotiadis, and C. Daskaloyannis. “New Examples of Harmonic Maps to the Hyperbolic Plane via Bäcklund Transformation.” Revista Matemática Complutense, 2023. https://doi.org/10.1007/s13163-023-00476-z. ieee: 'G. Polychrou, E. Papageorgiou, A. Fotiadis, and C. Daskaloyannis, “New examples of harmonic maps to the hyperbolic plane via Bäcklund transformation,” Revista Matemática Complutense, 2023, doi: 10.1007/s13163-023-00476-z.' mla: Polychrou, G., et al. “New Examples of Harmonic Maps to the Hyperbolic Plane via Bäcklund Transformation.” Revista Matemática Complutense, Springer Science and Business Media LLC, 2023, doi:10.1007/s13163-023-00476-z. short: G. Polychrou, E. Papageorgiou, A. Fotiadis, C. Daskaloyannis, Revista Matemática Complutense (2023). date_created: 2024-04-17T13:15:07Z date_updated: 2024-04-17T13:15:51Z department: - _id: '555' doi: 10.1007/s13163-023-00476-z keyword: - General Mathematics language: - iso: eng publication: Revista Matemática Complutense publication_identifier: issn: - 1139-1138 - 1988-2807 publication_status: published publisher: Springer Science and Business Media LLC status: public title: New examples of harmonic maps to the hyperbolic plane via Bäcklund transformation type: journal_article user_id: '100325' year: '2023' ...