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282 Publications


2021 | Preprint | LibreCat-ID: 21600
Dellnitz M, Hüllermeier E, Lücke M, et al. Efficient time stepping for numerical integration using reinforcement  learning. arXiv:210403562. 2021.
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2021 | Journal Article | LibreCat-ID: 16295
Gebken B, Peitz S. Inverse multiobjective optimization: Inferring decision criteria from data. Journal of Global Optimization. 2021;80:3-29. doi:10.1007/s10898-020-00983-z
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2021 | Preprint | LibreCat-ID: 23428
Nüske F, Peitz S, Philipp F, Schaller M, Worthmann K. Finite-data error bounds for Koopman-based prediction and control. arXiv:210807102. 2021.
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2021 | Preprint | LibreCat-ID: 21199
Peitz S, Bieker K. On the Universal Transformation of Data-Driven Models to Control Systems. arXiv:210204722. 2021.
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2021 | Conference Paper | LibreCat-ID: 22894
Offen C, Ober-Blöbaum S. Bifurcation preserving discretisations of optimal control problems.
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2021 | Journal Article | LibreCat-ID: 16867
Gebken B, Peitz S. An efficient descent method for locally Lipschitz multiobjective optimization problems. Journal of Optimization Theory and Applications. 2021;188:696-723. doi:10.1007/s10957-020-01803-w
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2021 | Journal Article | LibreCat-ID: 21195
Goelz C, Mora K, Stroehlein JK, et al. Electrophysiological signatures of dedifferentiation differ between fit and less fit older adults. Cognitive Neurodynamics. 2021. doi:10.1007/s11571-020-09656-9
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2021 | Journal Article | LibreCat-ID: 24170
Klus S, Gelß P, Nüske F, Noé F. Symmetric and antisymmetric kernels for machine learning problems in quantum physics and chemistry. Machine Learning: Science and Technology. Published online 2021. doi:10.1088/2632-2153/ac14ad
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2021 | Preprint | LibreCat-ID: 23382
Offen C, Ober-Blöbaum S. Symplectic integration of learned Hamiltonian systems.
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2021 | Journal Article | LibreCat-ID: 24169
Nüske F, Gelß P, Klus S, Clementi C. Tensor-based computation of metastable and coherent sets. Physica D: Nonlinear Phenomena. Published online 2021. doi:10.1016/j.physd.2021.133018
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2021 | Journal Article | LibreCat-ID: 16294
Ober-Blöbaum S, Peitz S. Explicit multiobjective model predictive control for nonlinear systems  with symmetries. International Journal of Robust and Nonlinear Control. 2021;31(2):380-403. doi:10.1002/rnc.5281
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2021 | Preprint | LibreCat-ID: 21572
Ridderbusch S, Offen C, Ober-Blöbaum S, Goulart P. Learning ODE Models with Qualitative Structure Using Gaussian Processes .
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2021 | Journal Article | LibreCat-ID: 21337
Berkemeier MB, Peitz S. Derivative-Free Multiobjective Trust Region Descent Method Using Radial  Basis Function Surrogate Models. Mathematical and Computational Applications. 2021;26(2). doi:10.3390/mca26020031
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2021 | Journal Article | LibreCat-ID: 21820
Nüske F, Koltai P, Boninsegna L, Clementi C. Spectral Properties of Effective Dynamics from Conditional Expectations. Entropy. 2021. doi:10.3390/e23020134
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2020 | Journal Article | LibreCat-ID: 16961
Liebendörfer M, Göller R, Biehler R, et al. LimSt – Ein Fragebogen zur Erhebung von Lernstrategien im mathematikhaltigen Studium. Journal für Mathematik-Didaktik. 2020. doi:10.1007/s13138-020-00167-y
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2020 | Journal Article | LibreCat-ID: 16290
Bieker K, Peitz S, Brunton SL, Kutz JN, Dellnitz M. Deep model predictive flow control with limited sensor data and online learning. Theoretical and Computational Fluid Dynamics. 2020;34:577–591. doi:10.1007/s00162-020-00520-4
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2020 | Preprint | LibreCat-ID: 19941
McLachlan RI, Offen C. Backward error analysis for variational discretisations of partial  differential equations. arXiv:200614172.
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2020 | Journal Article | LibreCat-ID: 19939
Kreusser LM, McLachlan RI, Offen C. Detection of high codimensional bifurcations in variational PDEs. Nonlinearity. 2020;33(5):2335-2363. doi:10.1088/1361-6544/ab7293
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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 | Preprint | LibreCat-ID: 20731
Bieker K, Gebken B, Peitz S. On the Treatment of Optimization Problems with L1 Penalty Terms via Multiobjective Continuation. arXiv:201207483. 2020.
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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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2019 | Conference Paper | LibreCat-ID: 10597
Hanke S, Peitz S, Wallscheid O, Böcker J, Dellnitz M. Finite-Control-Set Model Predictive Control for a Permanent Magnet Synchronous Motor Application with Online Least Squares System Identification. In: 2019 IEEE International Symposium on Predictive Control of Electrical Drives and Power Electronics (PRECEDE). ; 2019. doi:10.1109/precede.2019.8753313
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2019 | Journal Article | LibreCat-ID: 16709
Sahai T, Ziessler A, Klus S, Dellnitz M. Continuous relaxations for the traveling salesman problem. Nonlinear Dynamics. 2019. doi:10.1007/s11071-019-05092-5
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2019 | Preprint | LibreCat-ID: 16711
Gerlach R, Koltai P, Dellnitz M. Revealing the intrinsic geometry of finite dimensional invariant sets of  infinite dimensional dynamical systems. arXiv:190208824. 2019.
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2019 | Journal Article | LibreCat-ID: 8753
Peitz S, Ober-Blöbaum S, Dellnitz M. Multiobjective Optimal Control Methods for the Navier-Stokes Equations Using Reduced Order Modeling. Acta Applicandae Mathematicae. 2019;161(1):171–199. doi:10.1007/s10440-018-0209-7
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2019 | Journal Article | LibreCat-ID: 10593
Peitz S, Klus S. Koopman operator-based model reduction for switched-system control of PDEs. Automatica. 2019;106:184-191. doi:10.1016/j.automatica.2019.05.016
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2019 | Journal Article | LibreCat-ID: 21
Richters D, Lass M, Walther A, Plessl C, Kühne T. A General Algorithm to Calculate the Inverse Principal p-th Root of Symmetric Positive Definite Matrices. Communications in Computational Physics. 2019;25(2):564-585. doi:10.4208/cicp.OA-2018-0053
LibreCat | DOI | arXiv
 

2019 | Journal Article | LibreCat-ID: 16712
Dellnitz M, Gebken B, Gerlach R, Klus S. On the equivariance properties of self-adjoint matrices. Dynamical Systems. 2019:1-19. doi:10.1080/14689367.2019.1661355
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2019 | Misc | LibreCat-ID: 8482
Jurgelucks B, Schulze V, Feldmann N, Claes L. Arbitrary Sensitivity for Inverse Problems in Piezoelectricity. GAMM Annual Meeting, Wien; 2019.
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2019 | Journal Article | LibreCat-ID: 21944
Nüske F, Boninsegna L, Clementi C. Coarse-graining molecular systems by spectral matching. The Journal of Chemical Physics. 2019. doi:10.1063/1.5100131
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2019 | Conference Paper | LibreCat-ID: 13106
Schumacher J. Rekonstruktion diagrammatischen Schließens am Beispiel der Subtraktion negativer Zahlen. In: Beiträge zum Mathematikunterricht 2019.
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2019 | Book Chapter | LibreCat-ID: 8577
Kuklinski C, Leis E, Liebendörfer M, Hochmuth R. Erklärung von Mathematikleistung im Ingenieursstudium. In: Beiträge Zum Mathematikunterricht 2019. ; 2019.
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