[{"publisher":"WTM","_id":"45384","language":[{"iso":"ger"}],"page":"233-236","editor":[{"full_name":"Siller, H.-S.","last_name":"Siller","first_name":"H.-S."},{"full_name":"Weigel, W.","first_name":"W.","last_name":"Weigel"},{"full_name":"Wöler, J. F.","last_name":"Wöler","first_name":"J. F."}],"user_id":"85820","author":[{"full_name":"Dröse, Jennifer","last_name":"Dröse","first_name":"Jennifer","id":"85820"}],"title":"Verstehensgrundlagen diagnostizieren - Welche Wissenselemente fokussieren Lehrkräfte?","status":"public","year":"2020","date_updated":"2023-11-02T08:09:21Z","place":"Münster","date_created":"2023-05-31T07:18:51Z","department":[{"_id":"98"}],"type":"conference","citation":{"mla":"Dröse, Jennifer. “Verstehensgrundlagen diagnostizieren - Welche Wissenselemente fokussieren Lehrkräfte?” <i>Beiträge zum Mathematikunterricht 2020 </i>, edited by H.-S. Siller et al., WTM, 2020, pp. 233–36.","bibtex":"@inproceedings{Dröse_2020, place={Münster}, title={Verstehensgrundlagen diagnostizieren - Welche Wissenselemente fokussieren Lehrkräfte?}, booktitle={Beiträge zum Mathematikunterricht 2020 }, publisher={WTM}, author={Dröse, Jennifer}, editor={Siller, H.-S. and Weigel, W. and Wöler, J. F.}, year={2020}, pages={233–236} }","ama":"Dröse J. Verstehensgrundlagen diagnostizieren - Welche Wissenselemente fokussieren Lehrkräfte? In: Siller H-S, Weigel W, Wöler JF, eds. <i>Beiträge zum Mathematikunterricht 2020 </i>. WTM; 2020:233-236.","ieee":"J. Dröse, “Verstehensgrundlagen diagnostizieren - Welche Wissenselemente fokussieren Lehrkräfte?,” in <i>Beiträge zum Mathematikunterricht 2020 </i>, 2020, pp. 233–236.","apa":"Dröse, J. (2020). Verstehensgrundlagen diagnostizieren - Welche Wissenselemente fokussieren Lehrkräfte? In H.-S. Siller, W. Weigel, &#38; J. F. Wöler (Eds.), <i>Beiträge zum Mathematikunterricht 2020 </i> (pp. 233–236). WTM.","short":"J. Dröse, in: H.-S. Siller, W. Weigel, J.F. Wöler (Eds.), Beiträge zum Mathematikunterricht 2020 , WTM, Münster, 2020, pp. 233–236.","chicago":"Dröse, Jennifer. “Verstehensgrundlagen diagnostizieren - Welche Wissenselemente fokussieren Lehrkräfte?” In <i>Beiträge zum Mathematikunterricht 2020 </i>, edited by H.-S. Siller, W. Weigel, and J. F. Wöler, 233–36. Münster: WTM, 2020."},"publication":"Beiträge zum Mathematikunterricht 2020 "},{"date_created":"2023-05-31T07:42:06Z","department":[{"_id":"98"}],"type":"book_chapter","citation":{"apa":"Dröse, J., Eisen, V., Prediger, S., Altieri, M., Schellenbach, M., &#38; Menning, R. (2020). Textaufgaben lesen lernen – eine digital gestützte Einheit mit App . In <i>Mathematik lehren 223</i> (pp. 38–40).","ieee":"J. Dröse, V. Eisen, S. Prediger, M. Altieri, M. Schellenbach, and R. Menning, “Textaufgaben lesen lernen – eine digital gestützte Einheit mit App ,” in <i>Mathematik lehren 223</i>, 2020, pp. 38–40.","chicago":"Dröse, Jennifer, V. Eisen, Susanne Prediger, M. Altieri, M. Schellenbach, and R. Menning. “Textaufgaben lesen lernen – eine digital gestützte Einheit mit App .” In <i>Mathematik lehren 223</i>, 38–40, 2020.","short":"J. Dröse, V. Eisen, S. Prediger, M. Altieri, M. Schellenbach, R. Menning, in: Mathematik lehren 223, 2020, pp. 38–40.","mla":"Dröse, Jennifer, et al. “Textaufgaben lesen lernen – eine digital gestützte Einheit mit App .” <i>Mathematik lehren 223</i>, 2020, pp. 38–40.","ama":"Dröse J, Eisen V, Prediger S, Altieri M, Schellenbach M, Menning R. Textaufgaben lesen lernen – eine digital gestützte Einheit mit App . In: <i>Mathematik lehren 223</i>. ; 2020:38-40.","bibtex":"@inbook{Dröse_Eisen_Prediger_Altieri_Schellenbach_Menning_2020, title={Textaufgaben lesen lernen – eine digital gestützte Einheit mit App }, booktitle={Mathematik lehren 223}, author={Dröse, Jennifer and Eisen, V. and Prediger, Susanne and Altieri, M. and Schellenbach, M. and Menning, R.}, year={2020}, pages={38–40} }"},"publication":"Mathematik lehren 223","_id":"45386","language":[{"iso":"ger"}],"page":"38-40","user_id":"85820","author":[{"id":"85820","first_name":"Jennifer","last_name":"Dröse","full_name":"Dröse, Jennifer"},{"last_name":"Eisen","first_name":"V.","full_name":"Eisen, V."},{"last_name":"Prediger","first_name":"Susanne","full_name":"Prediger, Susanne"},{"full_name":"Altieri, M.","first_name":"M.","last_name":"Altieri"},{"full_name":"Schellenbach, M.","last_name":"Schellenbach","first_name":"M."},{"full_name":"Menning, R.","last_name":"Menning","first_name":"R."}],"status":"public","title":"Textaufgaben lesen lernen – eine digital gestützte Einheit mit App ","year":"2020","date_updated":"2023-11-02T08:09:54Z"},{"place":"Cham","citation":{"bibtex":"@inbook{Gerlach_Ziessler_2020, place={Cham}, series={Studies in Systems, Decision and Control}, title={The Approximation of Invariant Sets in Infinite Dimensional Dynamical Systems}, volume={304}, DOI={<a href=\"https://doi.org/10.1007/978-3-030-51264-4_3\">10.1007/978-3-030-51264-4_3</a>}, booktitle={Advances in Dynamics, Optimization and Computation}, publisher={Springer International Publishing}, author={Gerlach, Raphael and Ziessler, Adrian}, editor={Junge, Oliver and Schütze, Oliver and Ober-Blöbaum, Sina and Padberg-Gehle, Kathrin}, year={2020}, pages={66–85}, collection={Studies in Systems, Decision and Control} }","ama":"Gerlach R, Ziessler A. The Approximation of Invariant Sets in Infinite Dimensional Dynamical Systems. In: Junge O, Schütze O, Ober-Blöbaum S, Padberg-Gehle K, eds. <i>Advances in Dynamics, Optimization and Computation</i>. Vol 304. Studies in Systems, Decision and Control. Springer International Publishing; 2020:66-85. doi:<a href=\"https://doi.org/10.1007/978-3-030-51264-4_3\">10.1007/978-3-030-51264-4_3</a>","mla":"Gerlach, Raphael, and Adrian Ziessler. “The Approximation of Invariant Sets in Infinite Dimensional Dynamical Systems.” <i>Advances in Dynamics, Optimization and Computation</i>, edited by Oliver Junge et al., vol. 304, Springer International Publishing, 2020, pp. 66–85, doi:<a href=\"https://doi.org/10.1007/978-3-030-51264-4_3\">10.1007/978-3-030-51264-4_3</a>.","short":"R. Gerlach, A. Ziessler, in: O. Junge, O. Schütze, S. Ober-Blöbaum, K. Padberg-Gehle (Eds.), Advances in Dynamics, Optimization and Computation, Springer International Publishing, Cham, 2020, pp. 66–85.","chicago":"Gerlach, Raphael, and Adrian Ziessler. “The Approximation of Invariant Sets in Infinite Dimensional Dynamical Systems.” In <i>Advances in Dynamics, Optimization and Computation</i>, edited by Oliver Junge, Oliver Schütze, Sina Ober-Blöbaum, and Kathrin Padberg-Gehle, 304:66–85. Studies in Systems, Decision and Control. Cham: Springer International Publishing, 2020. <a href=\"https://doi.org/10.1007/978-3-030-51264-4_3\">https://doi.org/10.1007/978-3-030-51264-4_3</a>.","ieee":"R. Gerlach and A. Ziessler, “The Approximation of Invariant Sets in Infinite Dimensional Dynamical Systems,” in <i>Advances in Dynamics, Optimization and Computation</i>, vol. 304, O. Junge, O. Schütze, S. Ober-Blöbaum, and K. Padberg-Gehle, Eds. Cham: Springer International Publishing, 2020, pp. 66–85.","apa":"Gerlach, R., &#38; Ziessler, A. (2020). The Approximation of Invariant Sets in Infinite Dimensional Dynamical Systems. In O. Junge, O. Schütze, S. Ober-Blöbaum, &#38; K. Padberg-Gehle (Eds.), <i>Advances in Dynamics, Optimization and Computation</i> (Vol. 304, pp. 66–85). Springer International Publishing. <a href=\"https://doi.org/10.1007/978-3-030-51264-4_3\">https://doi.org/10.1007/978-3-030-51264-4_3</a>"},"_id":"17994","publisher":"Springer International Publishing","page":"66-85","volume":304,"editor":[{"full_name":"Junge, Oliver","last_name":"Junge","first_name":"Oliver"},{"full_name":"Schütze, Oliver","last_name":"Schütze","first_name":"Oliver"},{"full_name":"Ober-Blöbaum, Sina","last_name":"Ober-Blöbaum","first_name":"Sina"},{"full_name":"Padberg-Gehle, Kathrin","last_name":"Padberg-Gehle","first_name":"Kathrin"}],"user_id":"32655","status":"public","date_created":"2020-08-14T15:02:22Z","department":[{"_id":"101"}],"type":"book_chapter","publication":"Advances in Dynamics, Optimization and Computation","abstract":[{"lang":"eng","text":"In this work we review the novel framework for the computation of finite dimensional invariant sets of infinite dimensional dynamical systems developed in [6] and [36]. By utilizing results on embedding techniques for infinite dimensional systems we extend a classical subdivision scheme [8] as well as a continuation algorithm [7] for the computation of attractors and invariant manifolds of finite dimensional systems to the infinite dimensional case. We show how to implement this approach for the analysis of delay differential equations and partial differential equations and illustrate the feasibility of our implementation by computing the attractor of the Mackey-Glass equation and the unstable manifold of the one-dimensional Kuramoto-Sivashinsky equation."}],"language":[{"iso":"eng"}],"series_title":"Studies in Systems, Decision and Control","main_file_link":[{"url":"https://link.springer.com/chapter/10.1007/978-3-030-51264-4_3"}],"doi":"10.1007/978-3-030-51264-4_3","publication_identifier":{"issn":["2198-4182","2198-4190"],"isbn":["9783030512637","9783030512644"]},"author":[{"id":"32655","full_name":"Gerlach, Raphael","first_name":"Raphael","last_name":"Gerlach"},{"first_name":"Adrian","last_name":"Ziessler","full_name":"Ziessler, Adrian"}],"year":"2020","title":"The Approximation of Invariant Sets in Infinite Dimensional Dynamical Systems","intvolume":"       304","publication_status":"published","date_updated":"2023-11-17T13:13:25Z"},{"citation":{"bibtex":"@article{Dellnitz_Gebken_Gerlach_Klus_2020, title={On the equivariance properties of self-adjoint matrices}, volume={35}, DOI={<a href=\"https://doi.org/10.1080/14689367.2019.1661355\">10.1080/14689367.2019.1661355</a>}, number={2}, journal={Dynamical Systems}, author={Dellnitz, Michael and Gebken, Bennet and Gerlach, Raphael and Klus, Stefan}, year={2020}, pages={197–215} }","ama":"Dellnitz M, Gebken B, Gerlach R, Klus S. On the equivariance properties of self-adjoint matrices. <i>Dynamical Systems</i>. 2020;35(2):197-215. doi:<a href=\"https://doi.org/10.1080/14689367.2019.1661355\">10.1080/14689367.2019.1661355</a>","mla":"Dellnitz, Michael, et al. “On the Equivariance Properties of Self-Adjoint Matrices.” <i>Dynamical Systems</i>, vol. 35, no. 2, 2020, pp. 197–215, doi:<a href=\"https://doi.org/10.1080/14689367.2019.1661355\">10.1080/14689367.2019.1661355</a>.","short":"M. Dellnitz, B. Gebken, R. Gerlach, S. Klus, Dynamical Systems 35 (2020) 197–215.","chicago":"Dellnitz, Michael, Bennet Gebken, Raphael Gerlach, and Stefan Klus. “On the Equivariance Properties of Self-Adjoint Matrices.” <i>Dynamical Systems</i> 35, no. 2 (2020): 197–215. <a href=\"https://doi.org/10.1080/14689367.2019.1661355\">https://doi.org/10.1080/14689367.2019.1661355</a>.","ieee":"M. Dellnitz, B. Gebken, R. Gerlach, and S. Klus, “On the equivariance properties of self-adjoint matrices,” <i>Dynamical Systems</i>, vol. 35, no. 2, pp. 197–215, 2020, doi: <a href=\"https://doi.org/10.1080/14689367.2019.1661355\">10.1080/14689367.2019.1661355</a>.","apa":"Dellnitz, M., Gebken, B., Gerlach, R., &#38; Klus, S. (2020). On the equivariance properties of self-adjoint matrices. <i>Dynamical Systems</i>, <i>35</i>(2), 197–215. <a href=\"https://doi.org/10.1080/14689367.2019.1661355\">https://doi.org/10.1080/14689367.2019.1661355</a>"},"volume":35,"user_id":"32655","_id":"16712","page":"197-215","status":"public","department":[{"_id":"101"}],"type":"journal_article","date_created":"2020-04-16T14:07:25Z","abstract":[{"text":"We investigate self-adjoint matrices A∈Rn,n with respect to their equivariance properties. We show in particular that a matrix is self-adjoint if and only if it is equivariant with respect to the action of a group Γ2(A)⊂O(n) which is isomorphic to ⊗nk=1Z2. If the self-adjoint matrix possesses multiple eigenvalues – this may, for instance, be induced by symmetry properties of an underlying dynamical system – then A is even equivariant with respect to the action of a group Γ(A)≃∏ki=1O(mi) where m1,…,mk are the multiplicities of the eigenvalues λ1,…,λk of A. We discuss implications of this result for equivariant bifurcation problems, and we briefly address further applications for the Procrustes problem, graph symmetries and Taylor expansions.","lang":"eng"}],"publication":"Dynamical Systems","issue":"2","doi":"10.1080/14689367.2019.1661355","language":[{"iso":"eng"}],"main_file_link":[{"url":"https://doi.org/10.1080/14689367.2019.1661355"}],"intvolume":"        35","date_updated":"2023-11-17T13:12:59Z","publication_status":"published","publication_identifier":{"issn":["1468-9367","1468-9375"]},"author":[{"full_name":"Dellnitz, Michael","last_name":"Dellnitz","first_name":"Michael"},{"last_name":"Gebken","first_name":"Bennet","full_name":"Gebken, Bennet","id":"32643"},{"full_name":"Gerlach, Raphael","last_name":"Gerlach","first_name":"Raphael","id":"32655"},{"last_name":"Klus","first_name":"Stefan","full_name":"Klus, Stefan"}],"year":"2020","title":"On the equivariance properties of self-adjoint matrices"},{"type":"journal_article","department":[{"_id":"91"}],"date_created":"2024-02-19T06:37:21Z","publication":"J. of Lie Theory","citation":{"apa":"Hilgert, J., &#38; Barnum, H. (2020). Spectral Properties of Convex Bodies. <i>J. of Lie Theory</i>, <i>30</i>, 315–344.","ieee":"J. Hilgert and H. Barnum, “Spectral Properties of Convex Bodies,” <i>J. of Lie Theory</i>, vol. 30, pp. 315–344, 2020.","chicago":"Hilgert, Joachim, and H. Barnum. “Spectral Properties of Convex Bodies.” <i>J. of Lie Theory</i> 30 (2020): 315–44.","short":"J. Hilgert, H. Barnum, J. of Lie Theory 30 (2020) 315–344.","mla":"Hilgert, Joachim, and H. Barnum. “Spectral Properties of Convex Bodies.” <i>J. of Lie Theory</i>, vol. 30, 2020, pp. 315–44.","ama":"Hilgert J, Barnum H. Spectral Properties of Convex Bodies. <i>J of Lie Theory</i>. 2020;30:315-344.","bibtex":"@article{Hilgert_Barnum_2020, title={Spectral Properties of Convex Bodies}, volume={30}, journal={J. of Lie Theory}, author={Hilgert, Joachim and Barnum, H.}, year={2020}, pages={315–344} }"},"user_id":"49063","volume":30,"page":"315-344","language":[{"iso":"eng"}],"_id":"51386","publication_status":"published","date_updated":"2024-02-19T06:39:48Z","intvolume":"        30","status":"public","title":"Spectral Properties of Convex Bodies","year":"2020","author":[{"id":"220","last_name":"Hilgert","first_name":"Joachim","full_name":"Hilgert, Joachim"},{"first_name":"H.","last_name":"Barnum","full_name":"Barnum, H."}]},{"author":[{"full_name":"Hilgert, Joachim","last_name":"Hilgert","first_name":"Joachim","id":"220"}],"status":"public","title":"Titu Andreescu und Vlad Crisan: Mathematical Induction – A powerful and elegant method of proof. XYZ Press 2017 und Florian André Dalwigk: Vollständige Induktion – Beispiele und Aufgaben bis zum Umfallen. Springer Spektrum 2019","year":"2020","intvolume":"        67","date_updated":"2024-02-20T10:03:50Z","publication_status":"published","language":[{"iso":"eng"}],"_id":"51559","page":"301–305","volume":67,"doi":"10.1007/s00591-020-00282-4","user_id":"49063","citation":{"short":"J. Hilgert, Mathematische Semesterberichte 67 (2020) 301–305.","ama":"Hilgert J. Titu Andreescu und Vlad Crisan: Mathematical Induction – A powerful and elegant method of proof. XYZ Press 2017 und Florian André Dalwigk: Vollständige Induktion – Beispiele und Aufgaben bis zum Umfallen. Springer Spektrum 2019. <i>Mathematische Semesterberichte</i>. 2020;67:301–305. doi:<a href=\"https://doi.org/10.1007/s00591-020-00282-4\">10.1007/s00591-020-00282-4</a>","chicago":"Hilgert, Joachim. “Titu Andreescu Und Vlad Crisan: Mathematical Induction – A Powerful and Elegant Method of Proof. XYZ Press 2017 Und Florian André Dalwigk: Vollständige Induktion – Beispiele Und Aufgaben Bis Zum Umfallen. Springer Spektrum 2019.” <i>Mathematische Semesterberichte</i>, 2020. <a href=\"https://doi.org/10.1007/s00591-020-00282-4\">https://doi.org/10.1007/s00591-020-00282-4</a>.","bibtex":"@article{Hilgert_2020, title={Titu Andreescu und Vlad Crisan: Mathematical Induction – A powerful and elegant method of proof. XYZ Press 2017 und Florian André Dalwigk: Vollständige Induktion – Beispiele und Aufgaben bis zum Umfallen. Springer Spektrum 2019}, volume={67}, DOI={<a href=\"https://doi.org/10.1007/s00591-020-00282-4\">10.1007/s00591-020-00282-4</a>}, journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2020}, pages={301–305} }","apa":"Hilgert, J. (2020). Titu Andreescu und Vlad Crisan: Mathematical Induction – A powerful and elegant method of proof. XYZ Press 2017 und Florian André Dalwigk: Vollständige Induktion – Beispiele und Aufgaben bis zum Umfallen. Springer Spektrum 2019. In <i>Mathematische Semesterberichte</i> (Vol. 67, pp. 301–305). <a href=\"https://doi.org/10.1007/s00591-020-00282-4\">https://doi.org/10.1007/s00591-020-00282-4</a>","mla":"Hilgert, Joachim. “Titu Andreescu Und Vlad Crisan: Mathematical Induction – A Powerful and Elegant Method of Proof. XYZ Press 2017 Und Florian André Dalwigk: Vollständige Induktion – Beispiele Und Aufgaben Bis Zum Umfallen. Springer Spektrum 2019.” <i>Mathematische Semesterberichte</i>, vol. 67, 2020, pp. 301–305, doi:<a href=\"https://doi.org/10.1007/s00591-020-00282-4\">10.1007/s00591-020-00282-4</a>.","ieee":"J. Hilgert, “Titu Andreescu und Vlad Crisan: Mathematical Induction – A powerful and elegant method of proof. XYZ Press 2017 und Florian André Dalwigk: Vollständige Induktion – Beispiele und Aufgaben bis zum Umfallen. Springer Spektrum 2019,” <i>Mathematische Semesterberichte</i>, vol. 67. pp. 301–305, 2020, doi: <a href=\"https://doi.org/10.1007/s00591-020-00282-4\">10.1007/s00591-020-00282-4</a>."},"publication":"Mathematische Semesterberichte","date_created":"2024-02-20T10:01:02Z","department":[{"_id":"91"}],"type":"review"},{"citation":{"chicago":"Hilgert, Joachim. “Fabio Toscano: The Secret Formula – How a Mathematical Duel Inflamed Renaissance Italy and Uncovered the Cubic Equation. Princeton University Press 2020.” <i>Mathematische Semesterberichte</i>, 2020. <a href=\"https://doi.org/10.1007/s00591-020-00283-3\">https://doi.org/10.1007/s00591-020-00283-3</a>.","short":"J. Hilgert, Mathematische Semesterberichte 67 (2020) 307–309.","ieee":"J. Hilgert, “Fabio Toscano: The Secret Formula – How a Mathematical Duel Inflamed Renaissance Italy and Uncovered the Cubic Equation. Princeton University Press 2020,” <i>Mathematische Semesterberichte</i>, vol. 67. pp. 307–309, 2020, doi: <a href=\"https://doi.org/10.1007/s00591-020-00283-3\">10.1007/s00591-020-00283-3</a>.","apa":"Hilgert, J. (2020). Fabio Toscano: The Secret Formula – How a Mathematical Duel Inflamed Renaissance Italy and Uncovered the Cubic Equation. Princeton University Press 2020. In <i>Mathematische Semesterberichte</i> (Vol. 67, pp. 307–309). <a href=\"https://doi.org/10.1007/s00591-020-00283-3\">https://doi.org/10.1007/s00591-020-00283-3</a>","bibtex":"@article{Hilgert_2020, title={Fabio Toscano: The Secret Formula – How a Mathematical Duel Inflamed Renaissance Italy and Uncovered the Cubic Equation. Princeton University Press 2020}, volume={67}, DOI={<a href=\"https://doi.org/10.1007/s00591-020-00283-3\">10.1007/s00591-020-00283-3</a>}, journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2020}, pages={307–309} }","ama":"Hilgert J. Fabio Toscano: The Secret Formula – How a Mathematical Duel Inflamed Renaissance Italy and Uncovered the Cubic Equation. Princeton University Press 2020. <i>Mathematische Semesterberichte</i>. 2020;67:307–309. doi:<a href=\"https://doi.org/10.1007/s00591-020-00283-3\">10.1007/s00591-020-00283-3</a>","mla":"Hilgert, Joachim. “Fabio Toscano: The Secret Formula – How a Mathematical Duel Inflamed Renaissance Italy and Uncovered the Cubic Equation. Princeton University Press 2020.” <i>Mathematische Semesterberichte</i>, vol. 67, 2020, pp. 307–309, doi:<a href=\"https://doi.org/10.1007/s00591-020-00283-3\">10.1007/s00591-020-00283-3</a>."},"publication":"Mathematische Semesterberichte","date_created":"2024-02-20T09:53:55Z","department":[{"_id":"91"}],"type":"review","author":[{"last_name":"Hilgert","first_name":"Joachim","full_name":"Hilgert, Joachim","id":"220"}],"title":"Fabio Toscano: The Secret Formula – How a Mathematical Duel Inflamed Renaissance Italy and Uncovered the Cubic Equation. Princeton University Press 2020","status":"public","year":"2020","intvolume":"        67","publication_status":"published","date_updated":"2024-02-20T10:03:46Z","_id":"51557","language":[{"iso":"eng"}],"page":"307–309","volume":67,"user_id":"49063","doi":"10.1007/s00591-020-00283-3"},{"language":[{"iso":"eng"}],"_id":"51561","page":"123–124","volume":67,"doi":"10.1007/s00591-020-00272-6","user_id":"49063","author":[{"id":"220","full_name":"Hilgert, Joachim","last_name":"Hilgert","first_name":"Joachim"}],"title":"Robert Bosch: OPT ART – From Mathematical Optimization to Visual Design. Princeton University Press 2019","year":"2020","status":"public","intvolume":"        67","date_updated":"2024-02-20T10:04:02Z","publication_status":"published","date_created":"2024-02-20T10:03:14Z","department":[{"_id":"91"}],"type":"review","citation":{"ieee":"J. Hilgert, “Robert Bosch: OPT ART – From Mathematical Optimization to Visual Design. Princeton University Press 2019,” <i>Mathematische Semesterberichte</i>, vol. 67. pp. 123–124, 2020, doi: <a href=\"https://doi.org/10.1007/s00591-020-00272-6\">10.1007/s00591-020-00272-6</a>.","apa":"Hilgert, J. (2020). Robert Bosch: OPT ART – From Mathematical Optimization to Visual Design. Princeton University Press 2019. In <i>Mathematische Semesterberichte</i> (Vol. 67, pp. 123–124). <a href=\"https://doi.org/10.1007/s00591-020-00272-6\">https://doi.org/10.1007/s00591-020-00272-6</a>","chicago":"Hilgert, Joachim. “Robert Bosch: OPT ART – From Mathematical Optimization to Visual Design. Princeton University Press 2019.” <i>Mathematische Semesterberichte</i>, 2020. <a href=\"https://doi.org/10.1007/s00591-020-00272-6\">https://doi.org/10.1007/s00591-020-00272-6</a>.","short":"J. Hilgert, Mathematische Semesterberichte 67 (2020) 123–124.","mla":"Hilgert, Joachim. “Robert Bosch: OPT ART – From Mathematical Optimization to Visual Design. Princeton University Press 2019.” <i>Mathematische Semesterberichte</i>, vol. 67, 2020, pp. 123–124, doi:<a href=\"https://doi.org/10.1007/s00591-020-00272-6\">10.1007/s00591-020-00272-6</a>.","bibtex":"@article{Hilgert_2020, title={Robert Bosch: OPT ART – From Mathematical Optimization to Visual Design. Princeton University Press 2019}, volume={67}, DOI={<a href=\"https://doi.org/10.1007/s00591-020-00272-6\">10.1007/s00591-020-00272-6</a>}, journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2020}, pages={123–124} }","ama":"Hilgert J. Robert Bosch: OPT ART – From Mathematical Optimization to Visual Design. Princeton University Press 2019. <i>Mathematische Semesterberichte</i>. 2020;67:123–124. doi:<a href=\"https://doi.org/10.1007/s00591-020-00272-6\">10.1007/s00591-020-00272-6</a>"},"publication":"Mathematische Semesterberichte"},{"citation":{"short":"J. Hilgert, Mathematische Semesterberichte 67 (2020) 297–299.","chicago":"Hilgert, Joachim. “David M. Bressoud: Calculus Reordered -- A History of the Big Ideas. Princeton University Press 2019.” <i>Mathematische Semesterberichte</i>, 2020. <a href=\"https://doi.org/10.1007/s00591-020-00280-6\">https://doi.org/10.1007/s00591-020-00280-6</a>.","ieee":"J. Hilgert, “David M. Bressoud: Calculus Reordered -- A History of the Big Ideas. Princeton University Press 2019,” <i>Mathematische Semesterberichte</i>, vol. 67. pp. 297–299, 2020, doi: <a href=\"https://doi.org/10.1007/s00591-020-00280-6\">10.1007/s00591-020-00280-6</a>.","apa":"Hilgert, J. (2020). David M. Bressoud: Calculus Reordered -- A History of the Big Ideas. Princeton University Press 2019. In <i>Mathematische Semesterberichte</i> (Vol. 67, pp. 297–299). <a href=\"https://doi.org/10.1007/s00591-020-00280-6\">https://doi.org/10.1007/s00591-020-00280-6</a>","bibtex":"@article{Hilgert_2020, title={David M. Bressoud: Calculus Reordered -- A History of the Big Ideas. Princeton University Press 2019}, volume={67}, DOI={<a href=\"https://doi.org/10.1007/s00591-020-00280-6\">10.1007/s00591-020-00280-6</a>}, journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2020}, pages={297–299} }","ama":"Hilgert J. David M. Bressoud: Calculus Reordered -- A History of the Big Ideas. Princeton University Press 2019. <i>Mathematische Semesterberichte</i>. 2020;67:297–299. doi:<a href=\"https://doi.org/10.1007/s00591-020-00280-6\">10.1007/s00591-020-00280-6</a>","mla":"Hilgert, Joachim. “David M. Bressoud: Calculus Reordered -- A History of the Big Ideas. Princeton University Press 2019.” <i>Mathematische Semesterberichte</i>, vol. 67, 2020, pp. 297–299, doi:<a href=\"https://doi.org/10.1007/s00591-020-00280-6\">10.1007/s00591-020-00280-6</a>."},"publication":"Mathematische Semesterberichte","date_created":"2024-02-20T10:02:16Z","department":[{"_id":"91"}],"type":"review","author":[{"id":"220","full_name":"Hilgert, Joachim","first_name":"Joachim","last_name":"Hilgert"}],"title":"David M. Bressoud: Calculus Reordered -- A History of the Big Ideas. Princeton University Press 2019","status":"public","year":"2020","intvolume":"        67","publication_status":"published","date_updated":"2024-02-20T10:03:56Z","_id":"51560","language":[{"iso":"eng"}],"page":"297–299","volume":67,"user_id":"49063","doi":"10.1007/s00591-020-00280-6"},{"doi":"10.1007/s00591-019-00254-3","user_id":"49063","volume":67,"page":"97–98","_id":"51564","language":[{"iso":"ger"}],"date_updated":"2024-02-20T10:10:24Z","publication_status":"published","intvolume":"        67","status":"public","year":"2020","title":"Daniel Grieser: Mathematisches Problemlösen und Beweisen – Eine Entdeckungsreise in die Mathematik. 2. Auflage (Springer 2017)","author":[{"id":"220","first_name":"Joachim","last_name":"Hilgert","full_name":"Hilgert, Joachim"}],"type":"review","department":[{"_id":"91"}],"date_created":"2024-02-20T10:06:36Z","publication":"Mathematische Semesterberichte","citation":{"short":"J. Hilgert, Mathematische Semesterberichte 67 (2020) 97–98.","chicago":"Hilgert, Joachim. “Daniel Grieser: Mathematisches Problemlösen und Beweisen – Eine Entdeckungsreise in die Mathematik. 2. Auflage (Springer 2017).” <i>Mathematische Semesterberichte</i>, 2020. <a href=\"https://doi.org/10.1007/s00591-019-00254-3\">https://doi.org/10.1007/s00591-019-00254-3</a>.","apa":"Hilgert, J. (2020). Daniel Grieser: Mathematisches Problemlösen und Beweisen – Eine Entdeckungsreise in die Mathematik. 2. Auflage (Springer 2017). In <i>Mathematische Semesterberichte</i> (Vol. 67, pp. 97–98). <a href=\"https://doi.org/10.1007/s00591-019-00254-3\">https://doi.org/10.1007/s00591-019-00254-3</a>","ieee":"J. Hilgert, “Daniel Grieser: Mathematisches Problemlösen und Beweisen – Eine Entdeckungsreise in die Mathematik. 2. Auflage (Springer 2017),” <i>Mathematische Semesterberichte</i>, vol. 67. pp. 97–98, 2020, doi: <a href=\"https://doi.org/10.1007/s00591-019-00254-3\">10.1007/s00591-019-00254-3</a>.","ama":"Hilgert J. Daniel Grieser: Mathematisches Problemlösen und Beweisen – Eine Entdeckungsreise in die Mathematik. 2. Auflage (Springer 2017). <i>Mathematische Semesterberichte</i>. 2020;67:97–98. doi:<a href=\"https://doi.org/10.1007/s00591-019-00254-3\">10.1007/s00591-019-00254-3</a>","bibtex":"@article{Hilgert_2020, title={Daniel Grieser: Mathematisches Problemlösen und Beweisen – Eine Entdeckungsreise in die Mathematik. 2. Auflage (Springer 2017)}, volume={67}, DOI={<a href=\"https://doi.org/10.1007/s00591-019-00254-3\">10.1007/s00591-019-00254-3</a>}, journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2020}, pages={97–98} }","mla":"Hilgert, Joachim. “Daniel Grieser: Mathematisches Problemlösen und Beweisen – Eine Entdeckungsreise in die Mathematik. 2. Auflage (Springer 2017).” <i>Mathematische Semesterberichte</i>, vol. 67, 2020, pp. 97–98, doi:<a href=\"https://doi.org/10.1007/s00591-019-00254-3\">10.1007/s00591-019-00254-3</a>."}},{"date_created":"2024-02-20T10:05:17Z","type":"review","department":[{"_id":"91"}],"publication":"Mathematische Semesterberichte","citation":{"mla":"Hilgert, Joachim. “Claas Lattmann: Mathematische Modellierung bai Platon zwischen Thales und Euklid (De Gruyter 2019).” <i>Mathematische Semesterberichte</i>, vol. 67, 2020, pp. 109–111, doi:<a href=\"https://doi.org/10.1007/s00591-019-00254-3\">10.1007/s00591-019-00254-3</a>.","bibtex":"@article{Hilgert_2020, title={Claas Lattmann: Mathematische Modellierung bai Platon zwischen Thales und Euklid (De Gruyter 2019)}, volume={67}, DOI={<a href=\"https://doi.org/10.1007/s00591-019-00254-3\">10.1007/s00591-019-00254-3</a>}, journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2020}, pages={109–111} }","ama":"Hilgert J. Claas Lattmann: Mathematische Modellierung bai Platon zwischen Thales und Euklid (De Gruyter 2019). <i>Mathematische Semesterberichte</i>. 2020;67:109–111. doi:<a href=\"https://doi.org/10.1007/s00591-019-00254-3\">10.1007/s00591-019-00254-3</a>","ieee":"J. Hilgert, “Claas Lattmann: Mathematische Modellierung bai Platon zwischen Thales und Euklid (De Gruyter 2019),” <i>Mathematische Semesterberichte</i>, vol. 67. pp. 109–111, 2020, doi: <a href=\"https://doi.org/10.1007/s00591-019-00254-3\">10.1007/s00591-019-00254-3</a>.","apa":"Hilgert, J. (2020). Claas Lattmann: Mathematische Modellierung bai Platon zwischen Thales und Euklid (De Gruyter 2019). In <i>Mathematische Semesterberichte</i> (Vol. 67, pp. 109–111). <a href=\"https://doi.org/10.1007/s00591-019-00254-3\">https://doi.org/10.1007/s00591-019-00254-3</a>","chicago":"Hilgert, Joachim. “Claas Lattmann: Mathematische Modellierung bai Platon zwischen Thales und Euklid (De Gruyter 2019).” <i>Mathematische Semesterberichte</i>, 2020. <a href=\"https://doi.org/10.1007/s00591-019-00254-3\">https://doi.org/10.1007/s00591-019-00254-3</a>.","short":"J. Hilgert, Mathematische Semesterberichte 67 (2020) 109–111."},"page":"109–111","_id":"51563","language":[{"iso":"ger"}],"doi":"10.1007/s00591-019-00254-3","user_id":"49063","volume":67,"year":"2020","status":"public","title":"Claas Lattmann: Mathematische Modellierung bai Platon zwischen Thales und Euklid (De Gruyter 2019)","author":[{"full_name":"Hilgert, Joachim","last_name":"Hilgert","first_name":"Joachim"}],"date_updated":"2024-02-20T10:10:28Z","publication_status":"published","intvolume":"        67"},{"publication":"IMA Journal of Numerical Analysis","issue":"1","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title>\r\n               <jats:p>$L^2$ norm error estimates of semi- and full discretizations of wave equations with dynamic boundary conditions, using bulk–surface finite elements and Runge–Kutta methods, are studied. The analysis rests on an abstract formulation and error estimates, via energy techniques, within this abstract setting. Four prototypical linear wave equations with dynamic boundary conditions are analysed, which fit into the abstract framework. For problems with velocity terms or with acoustic boundary conditions we prove surprising results: for such problems the spatial convergence order is shown to be less than 2. These can also be observed in the presented numerical experiments.</jats:p>"}],"date_created":"2023-07-10T11:42:43Z","department":[{"_id":"841"}],"keyword":["Applied Mathematics","Computational Mathematics","General Mathematics"],"type":"journal_article","author":[{"full_name":"Hipp, David","last_name":"Hipp","first_name":"David"},{"last_name":"Kovács","first_name":"Balázs","full_name":"Kovács, Balázs"}],"publication_identifier":{"issn":["0272-4979","1464-3642"]},"year":"2020","title":"Finite element error analysis of wave equations with dynamic boundary conditions: <i>L</i>2 estimates","intvolume":"        41","publication_status":"published","date_updated":"2024-04-03T09:14:14Z","language":[{"iso":"eng"}],"doi":"10.1093/imanum/drz073","citation":{"bibtex":"@article{Hipp_Kovács_2020, title={Finite element error analysis of wave equations with dynamic boundary conditions: <i>L</i>2 estimates}, volume={41}, DOI={<a href=\"https://doi.org/10.1093/imanum/drz073\">10.1093/imanum/drz073</a>}, number={1}, journal={IMA Journal of Numerical Analysis}, publisher={Oxford University Press (OUP)}, author={Hipp, David and Kovács, Balázs}, year={2020}, pages={638–728} }","ama":"Hipp D, Kovács B. Finite element error analysis of wave equations with dynamic boundary conditions: <i>L</i>2 estimates. <i>IMA Journal of Numerical Analysis</i>. 2020;41(1):638-728. doi:<a href=\"https://doi.org/10.1093/imanum/drz073\">10.1093/imanum/drz073</a>","mla":"Hipp, David, and Balázs Kovács. “Finite Element Error Analysis of Wave Equations with Dynamic Boundary Conditions: <i>L</i>2 Estimates.” <i>IMA Journal of Numerical Analysis</i>, vol. 41, no. 1, Oxford University Press (OUP), 2020, pp. 638–728, doi:<a href=\"https://doi.org/10.1093/imanum/drz073\">10.1093/imanum/drz073</a>.","chicago":"Hipp, David, and Balázs Kovács. “Finite Element Error Analysis of Wave Equations with Dynamic Boundary Conditions: <i>L</i>2 Estimates.” <i>IMA Journal of Numerical Analysis</i> 41, no. 1 (2020): 638–728. <a href=\"https://doi.org/10.1093/imanum/drz073\">https://doi.org/10.1093/imanum/drz073</a>.","short":"D. Hipp, B. Kovács, IMA Journal of Numerical Analysis 41 (2020) 638–728.","ieee":"D. Hipp and B. Kovács, “Finite element error analysis of wave equations with dynamic boundary conditions: <i>L</i>2 estimates,” <i>IMA Journal of Numerical Analysis</i>, vol. 41, no. 1, pp. 638–728, 2020, doi: <a href=\"https://doi.org/10.1093/imanum/drz073\">10.1093/imanum/drz073</a>.","apa":"Hipp, D., &#38; Kovács, B. (2020). Finite element error analysis of wave equations with dynamic boundary conditions: <i>L</i>2 estimates. <i>IMA Journal of Numerical Analysis</i>, <i>41</i>(1), 638–728. <a href=\"https://doi.org/10.1093/imanum/drz073\">https://doi.org/10.1093/imanum/drz073</a>"},"status":"public","publisher":"Oxford University Press (OUP)","_id":"45954","page":"638-728","volume":41,"user_id":"100441"},{"doi":"10.1093/imanum/drz073","language":[{"iso":"eng"}],"publication_status":"published","date_updated":"2024-04-03T09:20:44Z","intvolume":"        41","year":"2020","title":"Finite element error analysis of wave equations with dynamic boundary conditions: <i>L</i>2 estimates","publication_identifier":{"issn":["0272-4979","1464-3642"]},"author":[{"full_name":"Hipp, David","first_name":"David","last_name":"Hipp"},{"full_name":"Kovács, Balázs","first_name":"Balázs","last_name":"Kovács","orcid":"0000-0001-9872-3474","id":"100441"}],"keyword":["Applied Mathematics","Computational Mathematics","General Mathematics"],"type":"journal_article","department":[{"_id":"841"}],"date_created":"2023-07-10T11:42:31Z","abstract":[{"text":"<jats:title>Abstract</jats:title>\r\n               <jats:p>$L^2$ norm error estimates of semi- and full discretizations of wave equations with dynamic boundary conditions, using bulk–surface finite elements and Runge–Kutta methods, are studied. The analysis rests on an abstract formulation and error estimates, via energy techniques, within this abstract setting. Four prototypical linear wave equations with dynamic boundary conditions are analysed, which fit into the abstract framework. For problems with velocity terms or with acoustic boundary conditions we prove surprising results: for such problems the spatial convergence order is shown to be less than 2. These can also be observed in the presented numerical experiments.</jats:p>","lang":"eng"}],"publication":"IMA Journal of Numerical Analysis","issue":"1","user_id":"100441","volume":41,"page":"638-728","publisher":"Oxford University Press (OUP)","_id":"45953","status":"public","citation":{"ama":"Hipp D, Kovács B. Finite element error analysis of wave equations with dynamic boundary conditions: <i>L</i>2 estimates. <i>IMA Journal of Numerical Analysis</i>. 2020;41(1):638-728. doi:<a href=\"https://doi.org/10.1093/imanum/drz073\">10.1093/imanum/drz073</a>","bibtex":"@article{Hipp_Kovács_2020, title={Finite element error analysis of wave equations with dynamic boundary conditions: <i>L</i>2 estimates}, volume={41}, DOI={<a href=\"https://doi.org/10.1093/imanum/drz073\">10.1093/imanum/drz073</a>}, number={1}, journal={IMA Journal of Numerical Analysis}, publisher={Oxford University Press (OUP)}, author={Hipp, David and Kovács, Balázs}, year={2020}, pages={638–728} }","mla":"Hipp, David, and Balázs Kovács. “Finite Element Error Analysis of Wave Equations with Dynamic Boundary Conditions: <i>L</i>2 Estimates.” <i>IMA Journal of Numerical Analysis</i>, vol. 41, no. 1, Oxford University Press (OUP), 2020, pp. 638–728, doi:<a href=\"https://doi.org/10.1093/imanum/drz073\">10.1093/imanum/drz073</a>.","short":"D. Hipp, B. Kovács, IMA Journal of Numerical Analysis 41 (2020) 638–728.","chicago":"Hipp, David, and Balázs Kovács. “Finite Element Error Analysis of Wave Equations with Dynamic Boundary Conditions: <i>L</i>2 Estimates.” <i>IMA Journal of Numerical Analysis</i> 41, no. 1 (2020): 638–728. <a href=\"https://doi.org/10.1093/imanum/drz073\">https://doi.org/10.1093/imanum/drz073</a>.","apa":"Hipp, D., &#38; Kovács, B. (2020). Finite element error analysis of wave equations with dynamic boundary conditions: <i>L</i>2 estimates. <i>IMA Journal of Numerical Analysis</i>, <i>41</i>(1), 638–728. <a href=\"https://doi.org/10.1093/imanum/drz073\">https://doi.org/10.1093/imanum/drz073</a>","ieee":"D. Hipp and B. Kovács, “Finite element error analysis of wave equations with dynamic boundary conditions: <i>L</i>2 estimates,” <i>IMA Journal of Numerical Analysis</i>, vol. 41, no. 1, pp. 638–728, 2020, doi: <a href=\"https://doi.org/10.1093/imanum/drz073\">10.1093/imanum/drz073</a>."}},{"issue":"329","publication":"Mathematics of Computation","type":"journal_article","keyword":["Applied Mathematics","Computational Mathematics","Algebra and Number Theory"],"department":[{"_id":"841"}],"date_created":"2023-07-10T11:42:57Z","date_updated":"2024-04-03T09:20:36Z","publication_status":"published","intvolume":"        90","year":"2020","title":"Higher-order linearly implicit full discretization of the Landau–Lifshitz–Gilbert equation","publication_identifier":{"issn":["0025-5718","1088-6842"]},"author":[{"last_name":"Akrivis","first_name":"Georgios","full_name":"Akrivis, Georgios"},{"full_name":"Feischl, Michael","first_name":"Michael","last_name":"Feischl"},{"full_name":"Kovács, Balázs","first_name":"Balázs","last_name":"Kovács","orcid":"0000-0001-9872-3474","id":"100441"},{"first_name":"Christian","last_name":"Lubich","full_name":"Lubich, Christian"}],"doi":"10.1090/mcom/3597","language":[{"iso":"eng"}],"citation":{"ieee":"G. Akrivis, M. Feischl, B. Kovács, and C. Lubich, “Higher-order linearly implicit full discretization of the Landau–Lifshitz–Gilbert equation,” <i>Mathematics of Computation</i>, vol. 90, no. 329, pp. 995–1038, 2020, doi: <a href=\"https://doi.org/10.1090/mcom/3597\">10.1090/mcom/3597</a>.","apa":"Akrivis, G., Feischl, M., Kovács, B., &#38; Lubich, C. (2020). Higher-order linearly implicit full discretization of the Landau–Lifshitz–Gilbert equation. <i>Mathematics of Computation</i>, <i>90</i>(329), 995–1038. <a href=\"https://doi.org/10.1090/mcom/3597\">https://doi.org/10.1090/mcom/3597</a>","chicago":"Akrivis, Georgios, Michael Feischl, Balázs Kovács, and Christian Lubich. “Higher-Order Linearly Implicit Full Discretization of the Landau–Lifshitz–Gilbert Equation.” <i>Mathematics of Computation</i> 90, no. 329 (2020): 995–1038. <a href=\"https://doi.org/10.1090/mcom/3597\">https://doi.org/10.1090/mcom/3597</a>.","short":"G. Akrivis, M. Feischl, B. Kovács, C. Lubich, Mathematics of Computation 90 (2020) 995–1038.","mla":"Akrivis, Georgios, et al. “Higher-Order Linearly Implicit Full Discretization of the Landau–Lifshitz–Gilbert Equation.” <i>Mathematics of Computation</i>, vol. 90, no. 329, American Mathematical Society (AMS), 2020, pp. 995–1038, doi:<a href=\"https://doi.org/10.1090/mcom/3597\">10.1090/mcom/3597</a>.","bibtex":"@article{Akrivis_Feischl_Kovács_Lubich_2020, title={Higher-order linearly implicit full discretization of the Landau–Lifshitz–Gilbert equation}, volume={90}, DOI={<a href=\"https://doi.org/10.1090/mcom/3597\">10.1090/mcom/3597</a>}, number={329}, journal={Mathematics of Computation}, publisher={American Mathematical Society (AMS)}, author={Akrivis, Georgios and Feischl, Michael and Kovács, Balázs and Lubich, Christian}, year={2020}, pages={995–1038} }","ama":"Akrivis G, Feischl M, Kovács B, Lubich C. Higher-order linearly implicit full discretization of the Landau–Lifshitz–Gilbert equation. <i>Mathematics of Computation</i>. 2020;90(329):995-1038. doi:<a href=\"https://doi.org/10.1090/mcom/3597\">10.1090/mcom/3597</a>"},"status":"public","user_id":"100441","volume":90,"page":"995-1038","_id":"45955","publisher":"American Mathematical Society (AMS)"},{"department":[{"_id":"841"}],"keyword":["Applied Mathematics"],"type":"journal_article","date_created":"2023-07-10T11:42:14Z","publication":"Interfaces and Free Boundaries","issue":"4","doi":"10.4171/ifb/446","language":[{"iso":"eng"}],"intvolume":"        22","publication_status":"published","date_updated":"2024-04-03T09:21:02Z","publication_identifier":{"issn":["1463-9963"]},"author":[{"full_name":"Kovács, Balázs","orcid":"0000-0001-9872-3474","last_name":"Kovács","first_name":"Balázs","id":"100441"},{"first_name":"Buyang","last_name":"Li","full_name":"Li, Buyang"},{"first_name":"Christian","last_name":"Lubich","full_name":"Lubich, Christian"}],"year":"2020","title":"A convergent algorithm for forced mean curvature flow driven by diffusion on the surface","citation":{"mla":"Kovács, Balázs, et al. “A Convergent Algorithm for Forced Mean Curvature Flow Driven by Diffusion on the Surface.” <i>Interfaces and Free Boundaries</i>, vol. 22, no. 4, European Mathematical Society - EMS - Publishing House GmbH, 2020, pp. 443–64, doi:<a href=\"https://doi.org/10.4171/ifb/446\">10.4171/ifb/446</a>.","bibtex":"@article{Kovács_Li_Lubich_2020, title={A convergent algorithm for forced mean curvature flow driven by diffusion on the surface}, volume={22}, DOI={<a href=\"https://doi.org/10.4171/ifb/446\">10.4171/ifb/446</a>}, number={4}, journal={Interfaces and Free Boundaries}, publisher={European Mathematical Society - EMS - Publishing House GmbH}, author={Kovács, Balázs and Li, Buyang and Lubich, Christian}, year={2020}, pages={443–464} }","ama":"Kovács B, Li B, Lubich C. A convergent algorithm for forced mean curvature flow driven by diffusion on the surface. <i>Interfaces and Free Boundaries</i>. 2020;22(4):443-464. doi:<a href=\"https://doi.org/10.4171/ifb/446\">10.4171/ifb/446</a>","ieee":"B. Kovács, B. Li, and C. Lubich, “A convergent algorithm for forced mean curvature flow driven by diffusion on the surface,” <i>Interfaces and Free Boundaries</i>, vol. 22, no. 4, pp. 443–464, 2020, doi: <a href=\"https://doi.org/10.4171/ifb/446\">10.4171/ifb/446</a>.","apa":"Kovács, B., Li, B., &#38; Lubich, C. (2020). A convergent algorithm for forced mean curvature flow driven by diffusion on the surface. <i>Interfaces and Free Boundaries</i>, <i>22</i>(4), 443–464. <a href=\"https://doi.org/10.4171/ifb/446\">https://doi.org/10.4171/ifb/446</a>","chicago":"Kovács, Balázs, Buyang Li, and Christian Lubich. “A Convergent Algorithm for Forced Mean Curvature Flow Driven by Diffusion on the Surface.” <i>Interfaces and Free Boundaries</i> 22, no. 4 (2020): 443–64. <a href=\"https://doi.org/10.4171/ifb/446\">https://doi.org/10.4171/ifb/446</a>.","short":"B. Kovács, B. Li, C. Lubich, Interfaces and Free Boundaries 22 (2020) 443–464."},"volume":22,"user_id":"100441","_id":"45952","publisher":"European Mathematical Society - EMS - Publishing House GmbH","page":"443-464","status":"public"},{"date_created":"2022-12-20T17:34:38Z","place":"Berlin/Boston","type":"book_chapter","department":[{"_id":"10"}],"publication":"Multivariate Algorithms and Information-Based Complexity","citation":{"chicago":"Hesse, Kerstin. “RBF-Based Penalized Least-Squares Approximation of Noisy Scattered Data on the Sphere.” In <i>Multivariate Algorithms and Information-Based Complexity</i>, edited by Fred J. Hickernell and Peter Kritzer, 33–42. Berlin/Boston: De Gruyter, 2020.","short":"K. Hesse, in: F.J. Hickernell, P. Kritzer (Eds.), Multivariate Algorithms and Information-Based Complexity, De Gruyter, Berlin/Boston, 2020, pp. 33–42.","apa":"Hesse, K. (2020). RBF-based penalized least-squares approximation of noisy scattered data on the sphere. In F. J. Hickernell &#38; P. Kritzer (Eds.), <i>Multivariate Algorithms and Information-Based Complexity</i> (pp. 33–42). De Gruyter.","ieee":"K. Hesse, “RBF-based penalized least-squares approximation of noisy scattered data on the sphere,” in <i>Multivariate Algorithms and Information-Based Complexity</i>, F. J. Hickernell and P. Kritzer, Eds. Berlin/Boston: De Gruyter, 2020, pp. 33–42.","ama":"Hesse K. RBF-based penalized least-squares approximation of noisy scattered data on the sphere. In: Hickernell FJ, Kritzer P, eds. <i>Multivariate Algorithms and Information-Based Complexity</i>. De Gruyter; 2020:33-42.","bibtex":"@inbook{Hesse_2020, place={Berlin/Boston}, title={RBF-based penalized least-squares approximation of noisy scattered data on the sphere}, booktitle={Multivariate Algorithms and Information-Based Complexity}, publisher={De Gruyter}, author={Hesse, Kerstin}, editor={Hickernell, Fred J. and Kritzer, Peter}, year={2020}, pages={33–42} }","mla":"Hesse, Kerstin. “RBF-Based Penalized Least-Squares Approximation of Noisy Scattered Data on the Sphere.” <i>Multivariate Algorithms and Information-Based Complexity</i>, edited by Fred J. Hickernell and Peter Kritzer, De Gruyter, 2020, pp. 33–42."},"page":"33-42 ","language":[{"iso":"eng"}],"_id":"34632","publisher":"De Gruyter","user_id":"49063","editor":[{"last_name":"Hickernell","first_name":"Fred J.","full_name":"Hickernell, Fred J."},{"last_name":"Kritzer","first_name":"Peter","full_name":"Kritzer, Peter"}],"year":"2020","status":"public","title":"RBF-based penalized least-squares approximation of noisy scattered data on the sphere","author":[{"id":"42608","full_name":"Hesse, Kerstin","orcid":"0000-0003-4125-1941","last_name":"Hesse","first_name":"Kerstin"}],"publication_identifier":{"isbn":["9783110633115"]},"date_updated":"2024-04-03T11:03:30Z"},{"date_created":"2024-04-11T12:33:03Z","type":"journal_article","keyword":["Mathematical Physics","Statistical and Nonlinear Physics"],"department":[{"_id":"548"}],"publication":"Communications in Mathematical Physics","issue":"2","abstract":[{"text":"<jats:title>Abstract</jats:title><jats:p>Given a closed orientable hyperbolic manifold of dimension <jats:inline-formula><jats:alternatives><jats:tex-math>$$\\ne 3$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\">\r\n                  <mml:mrow>\r\n                    <mml:mo>≠</mml:mo>\r\n                    <mml:mn>3</mml:mn>\r\n                  </mml:mrow>\r\n                </mml:math></jats:alternatives></jats:inline-formula> we prove that the multiplicity of the Pollicott-Ruelle resonance of the geodesic flow on perpendicular one-forms at zero agrees with the first Betti number of the manifold. Additionally, we prove that this equality is stable under small perturbations of the Riemannian metric and simultaneous small perturbations of the geodesic vector field within the class of contact vector fields. For more general perturbations we get bounds on the multiplicity of the resonance zero on all one-forms in terms of the first and zeroth Betti numbers. Furthermore, we identify for hyperbolic manifolds further resonance spaces whose multiplicities are given by higher Betti numbers.\r\n</jats:p>","lang":"eng"}],"language":[{"iso":"eng"}],"doi":"10.1007/s00220-020-03793-2","year":"2020","title":"Pollicott-Ruelle Resonant States and Betti Numbers","publication_identifier":{"issn":["0010-3616","1432-0916"]},"author":[{"first_name":"Benjamin","last_name":"Küster","full_name":"Küster, Benjamin"},{"orcid":"0000-0002-9648-6919","first_name":"Tobias","last_name":"Weich","full_name":"Weich, Tobias","id":"49178"}],"date_updated":"2024-04-11T12:36:53Z","publication_status":"published","intvolume":"       378","citation":{"mla":"Küster, Benjamin, and Tobias Weich. “Pollicott-Ruelle Resonant States and Betti Numbers.” <i>Communications in Mathematical Physics</i>, vol. 378, no. 2, Springer Science and Business Media LLC, 2020, pp. 917–41, doi:<a href=\"https://doi.org/10.1007/s00220-020-03793-2\">10.1007/s00220-020-03793-2</a>.","bibtex":"@article{Küster_Weich_2020, title={Pollicott-Ruelle Resonant States and Betti Numbers}, volume={378}, DOI={<a href=\"https://doi.org/10.1007/s00220-020-03793-2\">10.1007/s00220-020-03793-2</a>}, number={2}, journal={Communications in Mathematical Physics}, publisher={Springer Science and Business Media LLC}, author={Küster, Benjamin and Weich, Tobias}, year={2020}, pages={917–941} }","ama":"Küster B, Weich T. Pollicott-Ruelle Resonant States and Betti Numbers. <i>Communications in Mathematical Physics</i>. 2020;378(2):917-941. doi:<a href=\"https://doi.org/10.1007/s00220-020-03793-2\">10.1007/s00220-020-03793-2</a>","ieee":"B. Küster and T. Weich, “Pollicott-Ruelle Resonant States and Betti Numbers,” <i>Communications in Mathematical Physics</i>, vol. 378, no. 2, pp. 917–941, 2020, doi: <a href=\"https://doi.org/10.1007/s00220-020-03793-2\">10.1007/s00220-020-03793-2</a>.","apa":"Küster, B., &#38; Weich, T. (2020). Pollicott-Ruelle Resonant States and Betti Numbers. <i>Communications in Mathematical Physics</i>, <i>378</i>(2), 917–941. <a href=\"https://doi.org/10.1007/s00220-020-03793-2\">https://doi.org/10.1007/s00220-020-03793-2</a>","short":"B. Küster, T. Weich, Communications in Mathematical Physics 378 (2020) 917–941.","chicago":"Küster, Benjamin, and Tobias Weich. “Pollicott-Ruelle Resonant States and Betti Numbers.” <i>Communications in Mathematical Physics</i> 378, no. 2 (2020): 917–41. <a href=\"https://doi.org/10.1007/s00220-020-03793-2\">https://doi.org/10.1007/s00220-020-03793-2</a>."},"page":"917-941","publisher":"Springer Science and Business Media LLC","_id":"53415","user_id":"70575","volume":378,"status":"public"},{"publisher":"Springer","_id":"44685","page":"85–112","editor":[{"full_name":"Kadunz, Gert","last_name":"Kadunz","first_name":"Gert"}],"user_id":"31132","status":"public","place":"Berlin, Heidelberg","citation":{"mla":"Schumacher, Jan, and Sebastian Rezat. “Rekonstruktion Diagrammatischen Schließens Beim Erlernen Der Subtraktion Negativer Zahlen.” <i>Zeichen Und Sprache Im Mathematikunterricht: Semiotik in Theorie Und Praxis</i>, edited by Gert Kadunz, Springer, 2020, pp. 85–112, doi:<a href=\"https://doi.org/10.1007/978-3-662-61194-4_5\">10.1007/978-3-662-61194-4_5</a>.","apa":"Schumacher, J., &#38; Rezat, S. (2020). Rekonstruktion diagrammatischen Schließens beim Erlernen der Subtraktion negativer Zahlen. In G. Kadunz (Ed.), <i>Zeichen und Sprache im Mathematikunterricht: Semiotik in Theorie und Praxis</i> (pp. 85–112). Springer. <a href=\"https://doi.org/10.1007/978-3-662-61194-4_5\">https://doi.org/10.1007/978-3-662-61194-4_5</a>","ieee":"J. Schumacher and S. Rezat, “Rekonstruktion diagrammatischen Schließens beim Erlernen der Subtraktion negativer Zahlen,” in <i>Zeichen und Sprache im Mathematikunterricht: Semiotik in Theorie und Praxis</i>, G. Kadunz, Ed. Berlin, Heidelberg: Springer, 2020, pp. 85–112.","chicago":"Schumacher, Jan, and Sebastian Rezat. “Rekonstruktion Diagrammatischen Schließens Beim Erlernen Der Subtraktion Negativer Zahlen.” In <i>Zeichen Und Sprache Im Mathematikunterricht: Semiotik in Theorie Und Praxis</i>, edited by Gert Kadunz, 85–112. Berlin, Heidelberg: Springer, 2020. <a href=\"https://doi.org/10.1007/978-3-662-61194-4_5\">https://doi.org/10.1007/978-3-662-61194-4_5</a>.","ama":"Schumacher J, Rezat S. Rekonstruktion diagrammatischen Schließens beim Erlernen der Subtraktion negativer Zahlen. In: Kadunz G, ed. <i>Zeichen Und Sprache Im Mathematikunterricht: Semiotik in Theorie Und Praxis</i>. Springer; 2020:85–112. doi:<a href=\"https://doi.org/10.1007/978-3-662-61194-4_5\">10.1007/978-3-662-61194-4_5</a>","short":"J. Schumacher, S. Rezat, in: G. Kadunz (Ed.), Zeichen Und Sprache Im Mathematikunterricht: Semiotik in Theorie Und Praxis, Springer, Berlin, Heidelberg, 2020, pp. 85–112.","bibtex":"@inbook{Schumacher_Rezat_2020, place={Berlin, Heidelberg}, title={Rekonstruktion diagrammatischen Schließens beim Erlernen der Subtraktion negativer Zahlen}, DOI={<a href=\"https://doi.org/10.1007/978-3-662-61194-4_5\">10.1007/978-3-662-61194-4_5</a>}, booktitle={Zeichen und Sprache im Mathematikunterricht: Semiotik in Theorie und Praxis}, publisher={Springer}, author={Schumacher, Jan and Rezat, Sebastian}, editor={Kadunz, Gert}, year={2020}, pages={85–112} }"},"language":[{"iso":"eng"}],"alternative_title":["Vergleich zweier methodischer Zugänge"],"doi":"10.1007/978-3-662-61194-4_5","author":[{"full_name":"Schumacher, Jan","first_name":"Jan","last_name":"Schumacher"},{"id":"31132","full_name":"Rezat, Sebastian","first_name":"Sebastian","last_name":"Rezat"}],"publication_identifier":{"isbn":["9783662611937","9783662611944"]},"title":"Rekonstruktion diagrammatischen Schließens beim Erlernen der Subtraktion negativer Zahlen","year":"2020","date_updated":"2024-04-18T08:18:10Z","publication_status":"published","date_created":"2023-05-09T13:47:49Z","department":[{"_id":"360"}],"type":"book_chapter","publication":"Zeichen und Sprache im Mathematikunterricht: Semiotik in Theorie und Praxis"},{"_id":"44688","language":[{"iso":"eng"}],"publisher":"Springer","editor":[{"full_name":"Meister, Dorothee","first_name":"Dorothee","last_name":"Meister"},{"first_name":"Mindt","last_name":"Ilka","full_name":"Ilka, Mindt"}],"user_id":"31132","doi":"10.1007/978-3-658-29039-9_10","author":[{"id":"31132","last_name":"Rezat","first_name":"Sebastian","full_name":"Rezat, Sebastian"}],"publication_identifier":{"isbn":["9783658290382","9783658290399"],"issn":["2512-112X","2512-1146"]},"title":"Mathematiklernen mit digitalen Schulbüchern im Spannungsfeld zwischen Individualisierung und Kooperation","status":"public","year":"2020","publication_status":"published","date_updated":"2024-04-18T08:24:04Z","date_created":"2023-05-09T14:01:30Z","place":"Wiesbaden","department":[{"_id":"360"}],"type":"book_chapter","citation":{"mla":"Rezat, Sebastian. “Mathematiklernen Mit Digitalen Schulbüchern Im Spannungsfeld Zwischen Individualisierung Und Kooperation.” <i>Mobile Medien Im Schulkontext</i>, edited by Dorothee Meister and Mindt Ilka, Springer, 2020, doi:<a href=\"https://doi.org/10.1007/978-3-658-29039-9_10\">10.1007/978-3-658-29039-9_10</a>.","ama":"Rezat S. Mathematiklernen mit digitalen Schulbüchern im Spannungsfeld zwischen Individualisierung und Kooperation. In: Meister D, Ilka M, eds. <i>Mobile Medien Im Schulkontext</i>. Springer; 2020. doi:<a href=\"https://doi.org/10.1007/978-3-658-29039-9_10\">10.1007/978-3-658-29039-9_10</a>","bibtex":"@inbook{Rezat_2020, place={Wiesbaden}, title={Mathematiklernen mit digitalen Schulbüchern im Spannungsfeld zwischen Individualisierung und Kooperation}, DOI={<a href=\"https://doi.org/10.1007/978-3-658-29039-9_10\">10.1007/978-3-658-29039-9_10</a>}, booktitle={Mobile Medien im Schulkontext}, publisher={Springer}, author={Rezat, Sebastian}, editor={Meister, Dorothee and Ilka, Mindt}, year={2020} }","apa":"Rezat, S. (2020). Mathematiklernen mit digitalen Schulbüchern im Spannungsfeld zwischen Individualisierung und Kooperation. In D. Meister &#38; M. Ilka (Eds.), <i>Mobile Medien im Schulkontext</i>. Springer. <a href=\"https://doi.org/10.1007/978-3-658-29039-9_10\">https://doi.org/10.1007/978-3-658-29039-9_10</a>","ieee":"S. Rezat, “Mathematiklernen mit digitalen Schulbüchern im Spannungsfeld zwischen Individualisierung und Kooperation,” in <i>Mobile Medien im Schulkontext</i>, D. Meister and M. Ilka, Eds. Wiesbaden: Springer, 2020.","short":"S. Rezat, in: D. Meister, M. Ilka (Eds.), Mobile Medien Im Schulkontext, Springer, Wiesbaden, 2020.","chicago":"Rezat, Sebastian. “Mathematiklernen Mit Digitalen Schulbüchern Im Spannungsfeld Zwischen Individualisierung Und Kooperation.” In <i>Mobile Medien Im Schulkontext</i>, edited by Dorothee Meister and Mindt Ilka. Wiesbaden: Springer, 2020. <a href=\"https://doi.org/10.1007/978-3-658-29039-9_10\">https://doi.org/10.1007/978-3-658-29039-9_10</a>."},"publication":"Mobile Medien im Schulkontext"},{"date_created":"2023-07-26T10:26:53Z","department":[{"_id":"643"}],"type":"journal_article","citation":{"ama":"Leuders T, Wessel L. Differenziertes Üben gestalten. Zwischen Umsetzung in der Praxis und Fundierung in der Forschung. <i>Pädagogik 2/2020</i>. 2020;(2):26-30.","bibtex":"@article{Leuders_Wessel_2020, title={Differenziertes Üben gestalten. Zwischen Umsetzung in der Praxis und Fundierung in der Forschung.}, number={2}, journal={Pädagogik 2/2020}, publisher={Beltz Verlagsgruppe}, author={Leuders, Timo and Wessel, Lena}, year={2020}, pages={26–30} }","mla":"Leuders, Timo, and Lena Wessel. “Differenziertes Üben Gestalten. Zwischen Umsetzung in Der Praxis Und Fundierung in Der Forschung.” <i>Pädagogik 2/2020</i>, no. 2, Beltz Verlagsgruppe, 2020, pp. 26–30.","chicago":"Leuders, Timo, and Lena Wessel. “Differenziertes Üben Gestalten. Zwischen Umsetzung in Der Praxis Und Fundierung in Der Forschung.” <i>Pädagogik 2/2020</i>, no. 2 (2020): 26–30.","short":"T. Leuders, L. Wessel, Pädagogik 2/2020 (2020) 26–30.","apa":"Leuders, T., &#38; Wessel, L. (2020). Differenziertes Üben gestalten. Zwischen Umsetzung in der Praxis und Fundierung in der Forschung. <i>Pädagogik 2/2020</i>, <i>2</i>, 26–30.","ieee":"T. Leuders and L. Wessel, “Differenziertes Üben gestalten. Zwischen Umsetzung in der Praxis und Fundierung in der Forschung.,” <i>Pädagogik 2/2020</i>, no. 2, pp. 26–30, 2020."},"publication":"Pädagogik 2/2020","issue":"2","_id":"46159","language":[{"iso":"eng"}],"publisher":"Beltz Verlagsgruppe","page":"26-30","user_id":"37888","publication_identifier":{"issn":["0933-422X"]},"author":[{"full_name":"Leuders, Timo","last_name":"Leuders","first_name":"Timo"},{"id":"85190","first_name":"Lena","last_name":"Wessel","full_name":"Wessel, Lena"}],"year":"2020","title":"Differenziertes Üben gestalten. Zwischen Umsetzung in der Praxis und Fundierung in der Forschung.","status":"public","date_updated":"2024-04-18T09:02:02Z"}]