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282 Publications


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 | 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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2019 | Journal Article | LibreCat-ID: 19945
R. I. McLachlan, C. Offen, and B. K. Tapley, “Symplectic integration of PDEs using Clebsch variables,” Journal of Computational Dynamics, vol. 6, no. 1, pp. 111–130, 2019.
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2018 | Journal Article | LibreCat-ID: 16714
S. Vieluf et al., “Age- and Expertise-Related Differences of Sensorimotor Network Dynamics during Force Control,” Neuroscience, pp. 203–213, 2018.
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2018 | Book Chapter | LibreCat-ID: 8573
M. Liebendörfer, “Psychologische Grundbedürfnisse im frühen Mathematikstudium,” in Beiträge zum Mathematikunterricht 2018, F. Didaktik der Mathematik der Universität Paderborn, Ed. Münster: WTM-Verlag, 2018, pp. 1171–1174.
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2018 | Journal Article | LibreCat-ID: 8751
S. Peitz and M. Dellnitz, “A Survey of Recent Trends in Multiobjective Optimal Control—Surrogate Models, Feedback Control and Objective Reduction,” Mathematical and Computational Applications, vol. 23, no. 2, 2018.
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2018 | Journal Article | LibreCat-ID: 21941
S. Klus et al., “Data-Driven Model Reduction and Transfer Operator Approximation,” Journal of Nonlinear Science, pp. 985–1010, 2018.
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2018 | Conference Paper | LibreCat-ID: 7766
J. Schumacher, “Semiotische Analyse von Sinnkonstruktionsprozessen bei einem innermathematischen Zugang zum Erlernen negativer Zahlen,” in Beiträge zum Mathematikunterricht 2018, 2018.
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2018 | Book Chapter | LibreCat-ID: 8574
M. Liebendörfer, C. Kuklinski, and R. Hochmuth, “Auswirkungen von innovativen Vorlesungen für Lehramtsstudierende in der Studieneingangsphase,” in Beiträge zum Mathematikunterricht 2018, F. Didaktik der Mathematik der Universität Paderborn, Ed. Münster: WTM-Verlag, 2018, pp. 1175–1178.
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2018 | Conference Paper | LibreCat-ID: 8757
D. Beermann, M. Dellnitz, S. Peitz, and S. Volkwein, “POD-based multiobjective optimal control of PDEs with non-smooth objectives,” in PAMM, 2018, pp. 51–54.
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2018 | Journal Article | LibreCat-ID: 10142
E. Steffen, “Approximating Vizing’s independence number conjecture,” Australasian Journal of Combinatorics, vol. 71, no. 1, pp. 153–160, 2018.
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2018 | Report | LibreCat-ID: 16967
R. Hochmuth et al., Wirkung und Gelingensbedingungen von Unterstützungsmaßnahmen für mathmatikbezogenes Lernen in der Studieneingangsphase : Schlussbericht: Teilprojekt A der Leibniz Universität Hannover, Teilprojekte B und C der Universität Paderborn: Berichtszeitraum: 01.03.2015-31.08.2018. Hannover, 2018.
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2018 | Journal Article | LibreCat-ID: 16715
A. Bittracher, P. Koltai, S. Klus, R. Banisch, M. Dellnitz, and C. Schütte, “Transition Manifolds of Complex Metastable Systems,” Journal of Nonlinear Science, vol. 28, pp. 471–512, 2018.
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2018 | Journal Article | LibreCat-ID: 19935
R. I. McLachlan and C. Offen, “Bifurcation of solutions to Hamiltonian boundary value problems,” Nonlinearity, pp. 2895–2927, 2018.
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2018 | Journal Article | LibreCat-ID: 21942
L. Boninsegna, F. Nüske, and C. Clementi, “Sparse learning of stochastic dynamical equations,” The Journal of Chemical Physics, 2018.
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2018 | Preprint | LibreCat-ID: 16292
S. Peitz, “Controlling nonlinear PDEs using low-dimensional bilinear approximations  obtained from data,” arXiv:1801.06419. 2018.
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2018 | Conference Paper | LibreCat-ID: 8575
C. Kuklinski et al., “Evaluating Innovative Measures in University Mathematics – The Case of Affective Outcomes in a Lecture focused on Problem-Solving,” in Proceedings of the Second Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2018, 5-7 April 2018), 2018, pp. 527–536.
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2018 | Journal Article | LibreCat-ID: 10129
M. A. Fiol, G. Mazzuoccolo, and E. Steffen, “Measures of Edge-Uncolorability of Cubic Graphs,” The Electronic Journal of Combinatorics, vol. 25, no. 4, 2018.
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2018 | Journal Article | LibreCat-ID: 19943
R. I. McLachlan and C. Offen, “Hamiltonian boundary value problems, conformal symplectic symmetries, and conjugate loci,” New Zealand Journal of Mathematics, vol. 48, pp. 83–99, 2018.
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2018 | Journal Article | LibreCat-ID: 21943
E. Hruska, J. R. Abella, F. Nüske, L. E. Kavraki, and C. Clementi, “Quantitative comparison of adaptive sampling methods for protein dynamics,” The Journal of Chemical Physics, 2018.
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2018 | Journal Article | LibreCat-ID: 10132
L. Jin, G. Mazzuoccolo, and E. Steffen, “Cores, joins  and the Fano-flow conjectures,” Discussiones Mathematicae Graph Theory, vol. 38, pp. 165–175, 2018.
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2018 | Preprint | LibreCat-ID: 16293
S. Klus, S. Peitz, and I. Schuster, “Analyzing high-dimensional time-series data using kernel transfer  operator eigenfunctions,” arXiv:1805.10118. 2018.
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