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282 Publications


2021 | Preprint | LibreCat-ID: 21600
M. Dellnitz et al., “Efficient time stepping for numerical integration using reinforcement  learning,” arXiv:2104.03562. 2021.
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2021 | Journal Article | LibreCat-ID: 16295
B. Gebken and S. Peitz, “Inverse multiobjective optimization: Inferring decision criteria from data,” Journal of Global Optimization, vol. 80, pp. 3–29, 2021.
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2021 | Preprint | LibreCat-ID: 23428
F. Nüske, S. Peitz, F. Philipp, M. Schaller, and K. Worthmann, “Finite-data error bounds for Koopman-based prediction and control,” arXiv:2108.07102. 2021.
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2021 | Preprint | LibreCat-ID: 21199
S. Peitz and K. Bieker, “On the Universal Transformation of Data-Driven Models to Control Systems,” arXiv:2102.04722. 2021.
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2021 | Conference Paper | LibreCat-ID: 22894
C. Offen and S. Ober-Blöbaum, “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
B. Gebken and S. Peitz, “An efficient descent method for locally Lipschitz multiobjective optimization problems,” Journal of Optimization Theory and Applications, vol. 188, pp. 696–723, 2021.
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2021 | Journal Article | LibreCat-ID: 21195
C. Goelz et al., “Electrophysiological signatures of dedifferentiation differ between fit and less fit older adults,” Cognitive Neurodynamics, 2021.
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2021 | Journal Article | LibreCat-ID: 24170
S. Klus, P. Gelß, F. Nüske, and F. Noé, “Symmetric and antisymmetric kernels for machine learning problems in quantum physics and chemistry,” Machine Learning: Science and Technology, Art. no. 045016, 2021, doi: 10.1088/2632-2153/ac14ad.
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2021 | Preprint | LibreCat-ID: 23382
C. Offen and S. Ober-Blöbaum, “Symplectic integration of learned Hamiltonian systems.” .
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2021 | Journal Article | LibreCat-ID: 24169
F. Nüske, P. Gelß, S. Klus, and C. Clementi, “Tensor-based computation of metastable and coherent sets,” Physica D: Nonlinear Phenomena, Art. no. 133018, 2021, doi: 10.1016/j.physd.2021.133018.
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2021 | Journal Article | LibreCat-ID: 16294
S. Ober-Blöbaum and S. Peitz, “Explicit multiobjective model predictive control for nonlinear systems  with symmetries,” International Journal of Robust and Nonlinear Control, vol. 31, no. 2, pp. 380–403, 2021.
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2021 | Preprint | LibreCat-ID: 21572
S. Ridderbusch, C. Offen, S. Ober-Blöbaum, and P. Goulart, “Learning ODE Models with Qualitative Structure Using Gaussian Processes .” .
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2021 | Journal Article | LibreCat-ID: 21337
M. B. Berkemeier and S. Peitz, “Derivative-Free Multiobjective Trust Region Descent Method Using Radial  Basis Function Surrogate Models,” Mathematical and Computational Applications, vol. 26, no. 2, 2021.
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2021 | Journal Article | LibreCat-ID: 21820
F. Nüske, P. Koltai, L. Boninsegna, and C. Clementi, “Spectral Properties of Effective Dynamics from Conditional Expectations,” Entropy, 2021.
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2020 | Journal Article | LibreCat-ID: 16961
M. Liebendörfer et al., “LimSt – Ein Fragebogen zur Erhebung von Lernstrategien im mathematikhaltigen Studium,” Journal für Mathematik-Didaktik, 2020.
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2020 | Journal Article | LibreCat-ID: 16290
K. Bieker, S. Peitz, S. L. Brunton, J. N. Kutz, and M. Dellnitz, “Deep model predictive flow control with limited sensor data and online learning,” Theoretical and Computational Fluid Dynamics, vol. 34, pp. 577–591, 2020.
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2020 | Preprint | LibreCat-ID: 19941
R. I. McLachlan and C. Offen, “Backward error analysis for variational discretisations of partial  differential equations,” arXiv:2006.14172. .
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2020 | Journal Article | LibreCat-ID: 19939
L. M. Kreusser, R. I. McLachlan, and C. Offen, “Detection of high codimensional bifurcations in variational PDEs,” Nonlinearity, vol. 33, no. 5, pp. 2335–2363, 2020.
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2020 | Journal Article | LibreCat-ID: 16288
S. Klus, F. Nüske, S. Peitz, J.-H. Niemann, C. Clementi, and C. Schütte, “Data-driven approximation of the Koopman generator: Model reduction, system identification, and control,” Physica D: Nonlinear Phenomena, vol. 406, 2020.
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2020 | Journal Article | LibreCat-ID: 21819
S. Klus, F. Nüske, and B. Hamzi, “Kernel-Based Approximation of the Koopman Generator and Schrödinger Operator,” Entropy, 2020.
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2020 | Journal Article | LibreCat-ID: 10596
O. Schütze, O. Cuate, A. Martín, S. Peitz, and M. Dellnitz, “Pareto Explorer: a global/local exploration tool for many-objective optimization problems,” Engineering Optimization, vol. 52, no. 5, pp. 832–855, 2020.
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2020 | Book Chapter | LibreCat-ID: 16289
S. Peitz and S. Klus, “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, Cham: Springer, 2020, pp. 257–282.
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2020 | Book Chapter | LibreCat-ID: 13108
J. Schumacher and S. Rezat, “Rekonstruktion diagrammatischen Schließens beim Erlernen der Subtraktion negativer Zahlen. Vergleich zweier methodischer Zugänge,” in Zeichen und Sprache im Mathematikunterricht, G. Kadunz, Ed. Springer, 2020.
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2020 | Journal Article | LibreCat-ID: 16710
R. Gerlach, A. Ziessler, B. Eckhardt, and M. Dellnitz, “A Set-Oriented Path Following Method for the Approximation of Parameter Dependent Attractors,” SIAM Journal on Applied Dynamical Systems, pp. 705–723, 2020.
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2020 | Journal Article | LibreCat-ID: 16309
S. Peitz, S. E. Otto, and C. W. Rowley, “Data-Driven Model Predictive Control using Interpolated Koopman  Generators,” SIAM Journal on Applied Dynamical Systems, vol. 19, no. 3, pp. 2162–2193, 2020.
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2020 | Book Chapter | LibreCat-ID: 16963
C. Kuklinski, E. Leis, M. Liebendörfer, and R. Hochmuth, “Erklärung von Mathematikleistung im Ingenieursstudium,” in Beiträge zum {Mathematikunterricht} 2019 53. {Jahrestagung} der {Gesellschaft} für {Didaktik} der {Mathematik}., A. Frank, S. Krauss, and K. Binder, Eds. Münster: WTM-Verlag, 2020.
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2020 | Book Chapter | LibreCat-ID: 17411
K. Flaßkamp, S. Ober-Blöbaum, and S. Peitz, “Symmetry in Optimal Control: A Multiobjective Model Predictive Control Approach,” in Advances in Dynamics, Optimization and Computation, O. Junge, O. Schütze, G. Froyland, S. Ober-Blöbaum, and K. Padberg-Gehle, Eds. Cham: Springer, 2020.
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2020 | Journal Article | LibreCat-ID: 16297
C. I. Hernández Castellanos, S. Ober-Blöbaum, and S. Peitz, “Explicit Multi-objective Model Predictive Control for Nonlinear Systems  Under Uncertainty,” International Journal of Robust and Nonlinear Control, vol. 30, no. 17, pp. 7593–7618, 2020.
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2020 | Preprint | LibreCat-ID: 20731
K. Bieker, B. Gebken, and S. Peitz, “On the Treatment of Optimization Problems with L1 Penalty Terms via Multiobjective Continuation,” arXiv:2012.07483. 2020.
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2020 | Journal Article | LibreCat-ID: 16964
R. Hochmuth, M. Liebendörfer, R. Biehler, and A. Eichler, “Das Kompetenzzentrum Hochschuldidaktik Mathematik (khdm),” Neues Handbuch Hochschullehre, vol. 95, pp. 117–138, 2020.
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2020 | Journal Article | LibreCat-ID: 16965
M. Schürmann et al., “Ein Kurzbericht aus dem Forschungsprojekt WiGeMath-Lernzentren als Unterstützungsmaßnahme für mathematikbezogenes Lernen in der Studieneingangsphase,” dghd-Newsletter, vol. 01/2020, pp. 25–29, 2020.
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2020 | Book Chapter | LibreCat-ID: 17994
R. Gerlach and A. Ziessler, “The Approximation of Invariant Sets in Infinite Dimensional Dynamical Systems,” in Advances in Dynamics, Optimization and Computation, vol. 304, O. Junge, O. Schütze, S. Ober-Blöbaum, and K. Padberg-Gehle, Eds. Cham: Springer, 2020, pp. 55–85.
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2020 | Journal Article | LibreCat-ID: 19938
R. I. McLachlan and C. Offen, “Preservation of Bifurcations of Hamiltonian Boundary Value Problems Under Discretisation,” Foundations of Computational Mathematics, vol. 20, no. 6, pp. 1363–1400, 2020.
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2019 | Journal Article | LibreCat-ID: 10595
B. Gebken, S. Peitz, and M. Dellnitz, “On the hierarchical structure of Pareto critical sets,” Journal of Global Optimization, vol. 73, no. 4, pp. 891–913, 2019.
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2019 | Conference Paper | LibreCat-ID: 13107
J. Schumacher and S. Rezat, “A Hypothetical Learning Trajectory for the Learning of the Rules for Manipulating Integers,” in Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education (CERME11, February 6 – 10, 2019), Utrecht.
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2019 | Book Chapter | LibreCat-ID: 16966
C. Kuklinski 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
S. Rezat, L. Fan, M. Hattermann, J. Schumacher, and H. Wuschke, Eds., Proceedings of the Third International Conference on Mathematics Textbook Research and Development: 16-19 September 2019 Paderborn, Germany. Paderborn: Universitätsbibliothek Paderborn, 2019.
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2019 | Preprint | LibreCat-ID: 16296
S. Banholzer, B. Gebken, M. Dellnitz, S. Peitz, and S. Volkwein, “ROM-based multiobjective optimization of elliptic PDEs via numerical  continuation,” arXiv:1906.09075. 2019.
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2019 | Journal Article | LibreCat-ID: 16708
A. Ziessler, M. Dellnitz, and R. Gerlach, “The Numerical Computation of Unstable Manifolds for Infinite Dimensional Dynamical Systems by Embedding Techniques,” SIAM Journal on Applied Dynamical Systems, pp. 1265–1292, 2019.
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2019 | Conference Paper | LibreCat-ID: 10597
S. Hanke, S. Peitz, O. Wallscheid, J. Böcker, and M. Dellnitz, “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.
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2019 | Journal Article | LibreCat-ID: 16709
T. Sahai, A. Ziessler, S. Klus, and M. Dellnitz, “Continuous relaxations for the traveling salesman problem,” Nonlinear Dynamics, 2019.
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2019 | Preprint | LibreCat-ID: 16711
R. Gerlach, P. Koltai, and M. Dellnitz, “Revealing the intrinsic geometry of finite dimensional invariant sets of  infinite dimensional dynamical systems,” arXiv:1902.08824. 2019.
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2019 | Journal Article | LibreCat-ID: 8753
S. Peitz, S. Ober-Blöbaum, and M. Dellnitz, “Multiobjective Optimal Control Methods for the Navier-Stokes Equations Using Reduced Order Modeling,” Acta Applicandae Mathematicae, vol. 161, no. 1, pp. 171–199, 2019.
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2019 | Journal Article | LibreCat-ID: 10593
S. Peitz and S. Klus, “Koopman operator-based model reduction for switched-system control of PDEs,” Automatica, vol. 106, pp. 184–191, 2019.
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2019 | Journal Article | LibreCat-ID: 21
D. Richters, M. Lass, A. Walther, C. Plessl, and T. Kühne, “A General Algorithm to Calculate the Inverse Principal p-th Root of Symmetric Positive Definite Matrices,” Communications in Computational Physics, vol. 25, no. 2, pp. 564–585, 2019.
LibreCat | DOI | arXiv
 

2019 | Journal Article | LibreCat-ID: 16712
M. Dellnitz, B. Gebken, R. Gerlach, and S. Klus, “On the equivariance properties of self-adjoint matrices,” Dynamical Systems, pp. 1–19, 2019.
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2019 | Misc | LibreCat-ID: 8482
B. Jurgelucks, V. Schulze, N. Feldmann, and L. Claes, Arbitrary sensitivity for inverse problems in piezoelectricity. GAMM Annual Meeting, Wien, 2019.
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2019 | Journal Article | LibreCat-ID: 21944
F. Nüske, L. Boninsegna, and C. Clementi, “Coarse-graining molecular systems by spectral matching,” The Journal of Chemical Physics, 2019.
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2019 | Conference Paper | LibreCat-ID: 13106
J. Schumacher, “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
C. Kuklinski, E. Leis, M. Liebendörfer, and R. Hochmuth, “Erklärung von Mathematikleistung im Ingenieursstudium,” in Beiträge zum Mathematikunterricht 2019, 2019.
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