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283 Publications


2020 | Journal Article | LibreCat-ID: 16288
Klus S, Nüske F, Peitz S, Niemann J-H, Clementi C, Schütte C. Data-driven approximation of the Koopman generator: Model reduction, system identification, and control. Physica D: Nonlinear Phenomena. 2020;406. doi:10.1016/j.physd.2020.132416
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2020 | Journal Article | LibreCat-ID: 21819
Klus S, Nüske F, Hamzi B. Kernel-Based Approximation of the Koopman Generator and Schrödinger Operator. Entropy. 2020. doi:10.3390/e22070722
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2020 | Journal Article | LibreCat-ID: 10596
Schütze O, Cuate O, Martín A, Peitz S, Dellnitz M. Pareto Explorer: a global/local exploration tool for many-objective optimization problems. Engineering Optimization. 2020;52(5):832-855. doi:10.1080/0305215x.2019.1617286
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2020 | Book Chapter | LibreCat-ID: 16289
Peitz S, Klus S. Feedback Control of Nonlinear PDEs Using Data-Efficient Reduced Order Models Based on the Koopman Operator. In: Lecture Notes in Control and Information Sciences. Vol 484. Lecture Notes in Control and Information Sciences. Cham: Springer; 2020:257-282. doi:10.1007/978-3-030-35713-9_10
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2020 | Book Chapter | LibreCat-ID: 13108
Schumacher J, Rezat S. Rekonstruktion diagrammatischen Schließens beim Erlernen der Subtraktion negativer Zahlen. Vergleich zweier methodischer Zugänge. In: Kadunz G, ed. Zeichen und Sprache im Mathematikunterricht. Springer; 2020. doi:10.1007/978-3-662-61194-4_5
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2020 | Journal Article | LibreCat-ID: 16710
Gerlach R, Ziessler A, Eckhardt B, Dellnitz M. A Set-Oriented Path Following Method for the Approximation of Parameter Dependent Attractors. SIAM Journal on Applied Dynamical Systems. 2020:705-723. doi:10.1137/19m1247139
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2020 | Journal Article | LibreCat-ID: 16309
Peitz S, Otto SE, Rowley CW. Data-Driven Model Predictive Control using Interpolated Koopman  Generators. SIAM Journal on Applied Dynamical Systems. 2020;19(3):2162-2193. doi:10.1137/20M1325678
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2020 | Book Chapter | LibreCat-ID: 16963
Kuklinski C, Leis E, Liebendörfer M, Hochmuth R. Erklärung von Mathematikleistung im Ingenieursstudium. In: Frank A, Krauss S, Binder K, eds. Beiträge Zum {Mathematikunterricht} 2019 53. {Jahrestagung} Der {Gesellschaft} Für {Didaktik} Der {Mathematik}. Münster: WTM-Verlag; 2020.
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2020 | Book Chapter | LibreCat-ID: 17411
Flaßkamp K, Ober-Blöbaum S, Peitz S. Symmetry in Optimal Control: A Multiobjective Model Predictive Control Approach. In: Junge O, Schütze O, Froyland G, Ober-Blöbaum S, Padberg-Gehle K, eds. Advances in Dynamics, Optimization and Computation. Cham: Springer; 2020. doi:10.1007/978-3-030-51264-4_9
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2020 | Journal Article | LibreCat-ID: 16297
Hernández Castellanos CI, Ober-Blöbaum S, Peitz S. Explicit Multi-objective Model Predictive Control for Nonlinear Systems  Under Uncertainty. International Journal of Robust and Nonlinear Control. 2020;30(17):7593-7618. doi:10.1002/rnc.5197
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2020 | Journal Article | LibreCat-ID: 16964
Hochmuth R, Liebendörfer M, Biehler R, Eichler A. Das Kompetenzzentrum Hochschuldidaktik Mathematik (khdm). Neues Handbuch Hochschullehre. 2020;95:117-138.
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2020 | Journal Article | LibreCat-ID: 16965
Schürmann M, Schaper N, Liebendörfer M, et al. Ein Kurzbericht aus dem Forschungsprojekt WiGeMath-Lernzentren als Unterstützungsmaßnahme für mathematikbezogenes Lernen in der Studieneingangsphase. dghd-Newsletter. 2020;01/2020:25-29.
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2020 | Book Chapter | LibreCat-ID: 17994
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. Advances in Dynamics, Optimization and Computation. Vol 304. Studies in Systems, Decision and Control. Cham: Springer; 2020:55-85. doi:10.1007/978-3-030-51264-4_3
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2020 | Journal Article | LibreCat-ID: 19938
McLachlan RI, Offen C. Preservation of Bifurcations of Hamiltonian Boundary Value Problems Under Discretisation. Foundations of Computational Mathematics. 2020;20(6):1363-1400. doi:10.1007/s10208-020-09454-z
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2019 | Journal Article | LibreCat-ID: 10595
Gebken B, Peitz S, Dellnitz M. On the hierarchical structure of Pareto critical sets. Journal of Global Optimization. 2019;73(4):891-913. doi:10.1007/s10898-019-00737-6
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2019 | Conference Paper | LibreCat-ID: 13107
Schumacher J, Rezat S. A Hypothetical Learning Trajectory for the Learning of the Rules for Manipulating Integers. In: Jankvist UT, Van den Heuvel-Panhuizen M, Veldhuis M, eds. Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education (CERME11, February 6 – 10, 2019). Utrecht, the Netherlands: Freudenthal Group & Freudenthal Institute, Utrecht University and ERME.
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2019 | Book Chapter | LibreCat-ID: 16966
Kuklinski C, Liebendörfer M, Hochmuth R, et al. Features of innovative lectures that distinguish them from traditional lectures and their evaluation by attending students. In: Proceedings of {CERME} 11. Utrecht; 2019.
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2019 | Book (Editor) | LibreCat-ID: 13139
Rezat S, Fan L, Hattermann M, Schumacher J, Wuschke H, eds. Proceedings of the Third International Conference on Mathematics Textbook Research and Development: 16-19 September 2019 Paderborn, Germany. Paderborn: Universitätsbibliothek Paderborn; 2019. doi:10.17619/UNIPB/1-768
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2019 | Preprint | LibreCat-ID: 16296
Banholzer S, Gebken B, Dellnitz M, Peitz S, Volkwein S. ROM-based multiobjective optimization of elliptic PDEs via numerical  continuation. arXiv:190609075. 2019.
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2019 | Journal Article | LibreCat-ID: 16708
Ziessler A, Dellnitz M, Gerlach R. The Numerical Computation of Unstable Manifolds for Infinite Dimensional Dynamical Systems by Embedding Techniques. SIAM Journal on Applied Dynamical Systems. 2019:1265-1292. doi:10.1137/18m1204395
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