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282 Publications
2021 | Preprint | LibreCat-ID: 21600
Dellnitz, M., Hüllermeier, E., Lücke, M., Ober-Blöbaum, S., Offen, C., Peitz, S., & Pfannschmidt, K. (2021). Efficient time stepping for numerical integration using reinforcement learning. ArXiv:2104.03562.
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2021 | Journal Article | LibreCat-ID: 16295
Gebken, B., & Peitz, S. (2021). Inverse multiobjective optimization: Inferring decision criteria from data. Journal of Global Optimization, 80, 3–29. https://doi.org/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. (2021). Finite-data error bounds for Koopman-based prediction and control. ArXiv:2108.07102.
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2021 | Preprint | LibreCat-ID: 21199
Peitz, S., & Bieker, K. (2021). On the Universal Transformation of Data-Driven Models to Control Systems. ArXiv:2102.04722.
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2021 | Conference Paper | LibreCat-ID: 22894
Offen, C., & Ober-Blöbaum, S. (n.d.). Bifurcation preserving discretisations of optimal control problems. Presented at the 7th IFAC Workshop on Lagrangian and Hamiltonian Methods for Nonlinear Control, LHMNC 2021, Berlin, Germany.
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2021 | Journal Article | LibreCat-ID: 16867
Gebken, B., & Peitz, S. (2021). An efficient descent method for locally Lipschitz multiobjective optimization problems. Journal of Optimization Theory and Applications, 188, 696–723. https://doi.org/10.1007/s10957-020-01803-w
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2021 | Journal Article | LibreCat-ID: 21195
Goelz, C., Mora, K., Stroehlein, J. K., Haase, F. K., Dellnitz, M., Reinsberger, C., & Vieluf, S. (2021). Electrophysiological signatures of dedifferentiation differ between fit and less fit older adults. Cognitive Neurodynamics. https://doi.org/10.1007/s11571-020-09656-9
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2021 | Journal Article | LibreCat-ID: 24170
Klus, S., Gelß, P., Nüske, F., & Noé, F. (2021). Symmetric and antisymmetric kernels for machine learning problems in quantum physics and chemistry. Machine Learning: Science and Technology, Article 045016. https://doi.org/10.1088/2632-2153/ac14ad
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2021 | Journal Article | LibreCat-ID: 20731
Bieker, K., Gebken, B., & Peitz, S. (2021). On the Treatment of Optimization Problems with L1 Penalty Terms via Multiobjective Continuation. IEEE Transactions on Pattern Analysis and Machine Intelligence. https://doi.org/10.1109/TPAMI.2021.3114962
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2021 | Preprint | LibreCat-ID: 23382
Offen, C., & Ober-Blöbaum, S. (n.d.). Symplectic integration of learned Hamiltonian systems.
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2021 | Journal Article | LibreCat-ID: 24169
Nüske, F., Gelß, P., Klus, S., & Clementi, C. (2021). Tensor-based computation of metastable and coherent sets. Physica D: Nonlinear Phenomena, Article 133018. https://doi.org/10.1016/j.physd.2021.133018
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2021 | Journal Article | LibreCat-ID: 16294
Ober-Blöbaum, S., & Peitz, S. (2021). Explicit multiobjective model predictive control for nonlinear systems with symmetries. International Journal of Robust and Nonlinear Control, 31(2), 380–403. https://doi.org/10.1002/rnc.5281
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2021 | Preprint | LibreCat-ID: 21572
Ridderbusch, S., Offen, C., Ober-Blöbaum, S., & Goulart, P. (n.d.). Learning ODE Models with Qualitative Structure Using Gaussian Processes .
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2021 | Journal Article | LibreCat-ID: 21337
Berkemeier, M. B., & Peitz, S. (2021). Derivative-Free Multiobjective Trust Region Descent Method Using Radial Basis Function Surrogate Models. Mathematical and Computational Applications, 26(2). https://doi.org/10.3390/mca26020031
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2021 | Journal Article | LibreCat-ID: 21820
Nüske, F., Koltai, P., Boninsegna, L., & Clementi, C. (2021). Spectral Properties of Effective Dynamics from Conditional Expectations. Entropy. https://doi.org/10.3390/e23020134
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2020 | Journal Article | LibreCat-ID: 16961
Liebendörfer, M., Göller, R., Biehler, R., Hochmuth, R., Kortemeyer, J., Ostsieker, L., … Schaper, N. (2020). LimSt – Ein Fragebogen zur Erhebung von Lernstrategien im mathematikhaltigen Studium. Journal für Mathematik-Didaktik. https://doi.org/10.1007/s13138-020-00167-y
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2020 | Journal Article | LibreCat-ID: 16290
Bieker, K., Peitz, S., Brunton, S. L., Kutz, J. N., & Dellnitz, M. (2020). Deep model predictive flow control with limited sensor data and online learning. Theoretical and Computational Fluid Dynamics, 34, 577–591. https://doi.org/10.1007/s00162-020-00520-4
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2020 | Preprint | LibreCat-ID: 19941
McLachlan, R. I., & Offen, C. (n.d.). Backward error analysis for variational discretisations of partial differential equations. ArXiv:2006.14172.
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2020 | Journal Article | LibreCat-ID: 19939
Kreusser, L. M., McLachlan, R. I., & Offen, C. (2020). Detection of high codimensional bifurcations in variational PDEs. Nonlinearity, 33(5), 2335–2363. https://doi.org/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. (2020). Data-driven approximation of the Koopman generator: Model reduction, system identification, and control. Physica D: Nonlinear Phenomena, 406. https://doi.org/10.1016/j.physd.2020.132416
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2020 | Journal Article | LibreCat-ID: 21819
Klus, S., Nüske, F., & Hamzi, B. (2020). Kernel-Based Approximation of the Koopman Generator and Schrödinger Operator. Entropy. https://doi.org/10.3390/e22070722
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2020 | Journal Article | LibreCat-ID: 10596
Schütze, O., Cuate, O., Martín, A., Peitz, S., & Dellnitz, M. (2020). Pareto Explorer: a global/local exploration tool for many-objective optimization problems. Engineering Optimization, 52(5), 832–855. https://doi.org/10.1080/0305215x.2019.1617286
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2020 | Book Chapter | LibreCat-ID: 16289
Peitz, S., & Klus, S. (2020). 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, pp. 257–282). Cham: Springer. https://doi.org/10.1007/978-3-030-35713-9_10
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2020 | Book Chapter | LibreCat-ID: 13108
Schumacher, J., & Rezat, S. (2020). Rekonstruktion diagrammatischen Schließens beim Erlernen der Subtraktion negativer Zahlen. Vergleich zweier methodischer Zugänge. In G. Kadunz (Ed.), Zeichen und Sprache im Mathematikunterricht. Springer. https://doi.org/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. (2020). A Set-Oriented Path Following Method for the Approximation of Parameter Dependent Attractors. SIAM Journal on Applied Dynamical Systems, 705–723. https://doi.org/10.1137/19m1247139
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2020 | Journal Article | LibreCat-ID: 16309
Peitz, S., Otto, S. E., & Rowley, C. W. (2020). Data-Driven Model Predictive Control using Interpolated Koopman Generators. SIAM Journal on Applied Dynamical Systems, 19(3), 2162–2193. https://doi.org/10.1137/20M1325678
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2020 | Book Chapter | LibreCat-ID: 16963
Kuklinski, C., Leis, E., Liebendörfer, M., & Hochmuth, R. (2020). Erklärung von Mathematikleistung im Ingenieursstudium. In A. Frank, S. Krauss, & K. Binder (Eds.), Beiträge zum {Mathematikunterricht} 2019 53. {Jahrestagung} der {Gesellschaft} für {Didaktik} der {Mathematik}. Münster: WTM-Verlag.
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2020 | Book Chapter | LibreCat-ID: 17411
Flaßkamp, K., Ober-Blöbaum, S., & Peitz, S. (2020). Symmetry in Optimal Control: A Multiobjective Model Predictive Control Approach. In O. Junge, O. Schütze, G. Froyland, S. Ober-Blöbaum, & K. Padberg-Gehle (Eds.), Advances in Dynamics, Optimization and Computation. Cham: Springer. https://doi.org/10.1007/978-3-030-51264-4_9
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2020 | Journal Article | LibreCat-ID: 16297
Hernández Castellanos, C. I., Ober-Blöbaum, S., & Peitz, S. (2020). Explicit Multi-objective Model Predictive Control for Nonlinear Systems Under Uncertainty. International Journal of Robust and Nonlinear Control, 30(17), 7593–7618. https://doi.org/10.1002/rnc.5197
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2020 | Journal Article | LibreCat-ID: 16964
Hochmuth, R., Liebendörfer, M., Biehler, R., & Eichler, A. (2020). Das Kompetenzzentrum Hochschuldidaktik Mathematik (khdm). Neues Handbuch Hochschullehre, 95, 117–138.
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2020 | Journal Article | LibreCat-ID: 16965
Schürmann, M., Schaper, N., Liebendörfer, M., Biehler, R., Lankeit, E., Hochmuth, R., … Kuklinski, C. (2020). Ein Kurzbericht aus dem Forschungsprojekt WiGeMath-Lernzentren als Unterstützungsmaßnahme für mathematikbezogenes Lernen in der Studieneingangsphase. Dghd-Newsletter, 01/2020, 25–29.
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2020 | Book Chapter | LibreCat-ID: 17994
Gerlach, R., & Ziessler, A. (2020). The Approximation of Invariant Sets in Infinite Dimensional Dynamical Systems. In O. Junge, O. Schütze, S. Ober-Blöbaum, & K. Padberg-Gehle (Eds.), Advances in Dynamics, Optimization and Computation (Vol. 304, pp. 55–85). Cham: Springer. https://doi.org/10.1007/978-3-030-51264-4_3
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2020 | Journal Article | LibreCat-ID: 19938
McLachlan, R. I., & Offen, C. (2020). Preservation of Bifurcations of Hamiltonian Boundary Value Problems Under Discretisation. Foundations of Computational Mathematics, 20(6), 1363–1400. https://doi.org/10.1007/s10208-020-09454-z
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2019 | Journal Article | LibreCat-ID: 10595
Gebken, B., Peitz, S., & Dellnitz, M. (2019). On the hierarchical structure of Pareto critical sets. Journal of Global Optimization, 73(4), 891–913. https://doi.org/10.1007/s10898-019-00737-6
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2019 | Conference Paper | LibreCat-ID: 13107
Schumacher, J., & Rezat, S. (n.d.). A Hypothetical Learning Trajectory for the Learning of the Rules for Manipulating Integers. In U. T. Jankvist, M. Van den Heuvel-Panhuizen, & M. Veldhuis (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., Biehler, R., Schaper, N., Lankeit, E., … Schürmann, M. (2019). Features of innovative lectures that distinguish them from traditional lectures and their evaluation by attending students. In Proceedings of {CERME} 11. Utrecht.
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2019 | Book (Editor) | LibreCat-ID: 13139
Rezat, S., Fan, L., Hattermann, M., Schumacher, J., & Wuschke, H. (Eds.). (2019). Proceedings of the Third International Conference on Mathematics Textbook Research and Development: 16-19 September 2019 Paderborn, Germany. Presented at the Third International Conference on Mathematics Textbook Research and Development, Paderborn: Universitätsbibliothek Paderborn. https://doi.org/10.17619/UNIPB/1-768
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2019 | Preprint | LibreCat-ID: 16296
Banholzer, S., Gebken, B., Dellnitz, M., Peitz, S., & Volkwein, S. (2019). ROM-based multiobjective optimization of elliptic PDEs via numerical continuation. ArXiv:1906.09075.
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2019 | Journal Article | LibreCat-ID: 16708
Ziessler, A., Dellnitz, M., & Gerlach, R. (2019). The Numerical Computation of Unstable Manifolds for Infinite Dimensional Dynamical Systems by Embedding Techniques. SIAM Journal on Applied Dynamical Systems, 1265–1292. https://doi.org/10.1137/18m1204395
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2019 | Conference Paper | LibreCat-ID: 10597
Hanke, S., Peitz, S., Wallscheid, O., Böcker, J., & Dellnitz, M. (2019). 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). https://doi.org/10.1109/precede.2019.8753313
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2019 | Journal Article | LibreCat-ID: 16709
Sahai, T., Ziessler, A., Klus, S., & Dellnitz, M. (2019). Continuous relaxations for the traveling salesman problem. Nonlinear Dynamics. https://doi.org/10.1007/s11071-019-05092-5
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2019 | Preprint | LibreCat-ID: 16711
Gerlach, R., Koltai, P., & Dellnitz, M. (2019). Revealing the intrinsic geometry of finite dimensional invariant sets of infinite dimensional dynamical systems. ArXiv:1902.08824.
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2019 | Journal Article | LibreCat-ID: 8753
Peitz, S., Ober-Blöbaum, S., & Dellnitz, M. (2019). Multiobjective Optimal Control Methods for the Navier-Stokes Equations Using Reduced Order Modeling. Acta Applicandae Mathematicae, 161(1), 171–199. https://doi.org/10.1007/s10440-018-0209-7
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2019 | Journal Article | LibreCat-ID: 10593
Peitz, S., & Klus, S. (2019). Koopman operator-based model reduction for switched-system control of PDEs. Automatica, 106, 184–191. https://doi.org/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. (2019). A General Algorithm to Calculate the Inverse Principal p-th Root of Symmetric Positive Definite Matrices. Communications in Computational Physics, 25(2), 564–585. https://doi.org/10.4208/cicp.OA-2018-0053
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| arXiv
2019 | Journal Article | LibreCat-ID: 16712
Dellnitz, M., Gebken, B., Gerlach, R., & Klus, S. (2019). On the equivariance properties of self-adjoint matrices. Dynamical Systems, 1–19. https://doi.org/10.1080/14689367.2019.1661355
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2019 | Misc | LibreCat-ID: 8482
Jurgelucks, B., Schulze, V., Feldmann, N., & Claes, L. (2019). Arbitrary sensitivity for inverse problems in piezoelectricity. GAMM Annual Meeting, Wien.
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2019 | Journal Article | LibreCat-ID: 21944
Nüske, F., Boninsegna, L., & Clementi, C. (2019). Coarse-graining molecular systems by spectral matching. The Journal of Chemical Physics. https://doi.org/10.1063/1.5100131
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2019 | Conference Paper | LibreCat-ID: 13106
Schumacher, J. (n.d.). Rekonstruktion diagrammatischen Schließens am Beispiel der Subtraktion negativer Zahlen. In Beiträge zum Mathematikunterricht 2019. Regensburg.
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2019 | Book Chapter | LibreCat-ID: 8577
Kuklinski, C., Leis, E., Liebendörfer, M., & Hochmuth, R. (2019). Erklärung von Mathematikleistung im Ingenieursstudium. In Beiträge zum Mathematikunterricht 2019.
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