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283 Publications


2020 | Journal Article | LibreCat-ID: 16288
Klus, Stefan, et al. “Data-Driven Approximation of the Koopman Generator: Model Reduction, System Identification, and Control.” Physica D: Nonlinear Phenomena, vol. 406, 132416, 2020, doi:10.1016/j.physd.2020.132416.
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2020 | Journal Article | LibreCat-ID: 21819
Klus, Stefan, et al. “Kernel-Based Approximation of the Koopman Generator and Schrödinger Operator.” Entropy, 722, 2020, doi:10.3390/e22070722.
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2020 | Journal Article | LibreCat-ID: 10596
Schütze, Oliver, et al. “Pareto Explorer: A Global/Local Exploration Tool for Many-Objective Optimization Problems.” Engineering Optimization, vol. 52, no. 5, 2020, pp. 832–55, doi:10.1080/0305215x.2019.1617286.
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2020 | Book Chapter | LibreCat-ID: 16289
Peitz, Sebastian, and Stefan Klus. “Feedback Control of Nonlinear PDEs Using Data-Efficient Reduced Order Models Based on the Koopman Operator.” Lecture Notes in Control and Information Sciences, vol. 484, Springer, 2020, pp. 257–82, doi:10.1007/978-3-030-35713-9_10.
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2020 | Book Chapter | LibreCat-ID: 13108
Schumacher, Jan, and Sebastian Rezat. “Rekonstruktion diagrammatischen Schließens beim Erlernen der Subtraktion negativer Zahlen. Vergleich zweier methodischer Zugänge.” Zeichen und Sprache im Mathematikunterricht, edited by Gert Kadunz, Springer, 2020, doi:10.1007/978-3-662-61194-4_5.
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2020 | Journal Article | LibreCat-ID: 16710
Gerlach, Raphael, et al. “A Set-Oriented Path Following Method for the Approximation of Parameter Dependent Attractors.” SIAM Journal on Applied Dynamical Systems, 2020, pp. 705–23, doi:10.1137/19m1247139.
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2020 | Journal Article | LibreCat-ID: 16309
Peitz, Sebastian, et al. “Data-Driven Model Predictive Control Using Interpolated Koopman  Generators.” SIAM Journal on Applied Dynamical Systems, vol. 19, no. 3, 2020, pp. 2162–93, doi:10.1137/20M1325678.
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2020 | Book Chapter | LibreCat-ID: 16963
Kuklinski, Christiane, et al. “Erklärung von Mathematikleistung Im Ingenieursstudium.” Beiträge Zum {Mathematikunterricht} 2019 53. {Jahrestagung} Der {Gesellschaft} Für {Didaktik} Der {Mathematik}., edited by Andreas Frank et al., WTM-Verlag, 2020.
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2020 | Book Chapter | LibreCat-ID: 17411
Flaßkamp, Kathrin, et al. “Symmetry in Optimal Control: A Multiobjective Model Predictive Control Approach.” Advances in Dynamics, Optimization and Computation, edited by Oliver Junge et al., Springer, 2020, doi:10.1007/978-3-030-51264-4_9.
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2020 | Journal Article | LibreCat-ID: 16297
Hernández Castellanos, Carlos Ignacio, et al. “Explicit Multi-Objective Model Predictive Control for Nonlinear Systems  Under Uncertainty.” International Journal of Robust and Nonlinear Control, vol. 30, no. 17, 2020, pp. 7593–618, doi:10.1002/rnc.5197.
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2020 | Journal Article | LibreCat-ID: 16964
Hochmuth, Reinhard, et al. “Das Kompetenzzentrum Hochschuldidaktik Mathematik (Khdm).” Neues Handbuch Hochschullehre, vol. 95, 2020, pp. 117–38.
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2020 | Journal Article | LibreCat-ID: 16965
Schürmann, Mirko, et al. “Ein Kurzbericht Aus Dem Forschungsprojekt WiGeMath-Lernzentren Als Unterstützungsmaßnahme Für Mathematikbezogenes Lernen in Der Studieneingangsphase.” Dghd-Newsletter, vol. 01/2020, 2020, pp. 25–29.
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2020 | Book Chapter | LibreCat-ID: 17994
Gerlach, Raphael, and Adrian Ziessler. “The Approximation of Invariant Sets in Infinite Dimensional Dynamical Systems.” Advances in Dynamics, Optimization and Computation, edited by Oliver Junge et al., vol. 304, Springer, 2020, pp. 55–85, doi:10.1007/978-3-030-51264-4_3.
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2020 | Journal Article | LibreCat-ID: 19938
McLachlan, Robert I., and Christian Offen. “Preservation of Bifurcations of Hamiltonian Boundary Value Problems Under Discretisation.” Foundations of Computational Mathematics, vol. 20, no. 6, 2020, pp. 1363–400, doi:10.1007/s10208-020-09454-z.
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2019 | Journal Article | LibreCat-ID: 10595
Gebken, Bennet, et al. “On the Hierarchical Structure of Pareto Critical Sets.” Journal of Global Optimization, vol. 73, no. 4, 2019, pp. 891–913, doi:10.1007/s10898-019-00737-6.
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2019 | Conference Paper | LibreCat-ID: 13107
Schumacher, Jan, and Sebastian Rezat. “A Hypothetical Learning Trajectory for the Learning of the Rules for Manipulating Integers.” Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education (CERME11, February 6 – 10, 2019), edited by Uffe Thomas Jankvist et al., Freudenthal Group & Freudenthal Institute, Utrecht University and ERME.
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2019 | Book Chapter | LibreCat-ID: 16966
Kuklinski, Christiane, et al. “Features of Innovative Lectures That Distinguish Them from Traditional Lectures and Their Evaluation by Attending Students.” Proceedings of {CERME} 11, 2019.
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2019 | Book (Editor) | LibreCat-ID: 13139
Rezat, Sebastian, et al., editors. Proceedings of the Third International Conference on Mathematics Textbook Research and Development: 16-19 September 2019 Paderborn, Germany. Universitätsbibliothek Paderborn, 2019, doi:10.17619/UNIPB/1-768.
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2019 | Preprint | LibreCat-ID: 16296
Banholzer, Stefan, et al. “ROM-Based Multiobjective Optimization of Elliptic PDEs via Numerical  Continuation.” ArXiv:1906.09075, 2019.
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2019 | Journal Article | LibreCat-ID: 16708
Ziessler, Adrian, et al. “The Numerical Computation of Unstable Manifolds for Infinite Dimensional Dynamical Systems by Embedding Techniques.” SIAM Journal on Applied Dynamical Systems, 2019, pp. 1265–92, doi:10.1137/18m1204395.
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2019 | Conference Paper | LibreCat-ID: 10597
Hanke, Soren, et al. “Finite-Control-Set Model Predictive Control for a Permanent Magnet Synchronous Motor Application with Online Least Squares System Identification.” 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, Tuhin, et al. “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, Raphael, et al. “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
Peitz, Sebastian, et al. “Multiobjective Optimal Control Methods for the Navier-Stokes Equations Using Reduced Order Modeling.” Acta Applicandae Mathematicae, vol. 161, no. 1, 2019, pp. 171–199, doi:10.1007/s10440-018-0209-7.
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2019 | Journal Article | LibreCat-ID: 10593
Peitz, Sebastian, and Stefan Klus. “Koopman Operator-Based Model Reduction for Switched-System Control of PDEs.” Automatica, vol. 106, 2019, pp. 184–91, doi:10.1016/j.automatica.2019.05.016.
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2019 | Journal Article | LibreCat-ID: 21
Richters, Dorothee, et al. “A General Algorithm to Calculate the Inverse Principal P-Th Root of Symmetric Positive Definite Matrices.” Communications in Computational Physics, vol. 25, no. 2, Global Science Press, 2019, pp. 564–85, doi:10.4208/cicp.OA-2018-0053.
LibreCat | DOI | arXiv
 

2019 | Journal Article | LibreCat-ID: 16712
Dellnitz, Michael, et al. “On the Equivariance Properties of Self-Adjoint Matrices.” Dynamical Systems, 2019, pp. 1–19, doi:10.1080/14689367.2019.1661355.
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2019 | Misc | LibreCat-ID: 8482
Jurgelucks, Benjamin, et al. Arbitrary Sensitivity for Inverse Problems in Piezoelectricity. 2019.
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2019 | Journal Article | LibreCat-ID: 21944
Nüske, Feliks, et al. “Coarse-Graining Molecular Systems by Spectral Matching.” The Journal of Chemical Physics, 044116, 2019, doi:10.1063/1.5100131.
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2019 | Conference Paper | LibreCat-ID: 13106
Schumacher, Jan. “Rekonstruktion diagrammatischen Schließens am Beispiel der Subtraktion negativer Zahlen.” Beiträge zum Mathematikunterricht 2019.
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2019 | Book Chapter | LibreCat-ID: 8577
Kuklinski, Christiane, et al. “Erklärung von Mathematikleistung Im Ingenieursstudium.” Beiträge Zum Mathematikunterricht 2019, 2019.
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2019 | Journal Article | LibreCat-ID: 19945
McLachlan, Robert I., et al. “Symplectic Integration of PDEs Using Clebsch Variables.” Journal of Computational Dynamics, vol. 6, no. 1, American Institute of Mathematical Sciences (AIMS), 2019, pp. 111–30, doi:10.3934/jcd.2019005.
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2018 | Journal Article | LibreCat-ID: 16714
Vieluf, Solveig, et al. “Age- and Expertise-Related Differences of Sensorimotor Network Dynamics during Force Control.” Neuroscience, 2018, pp. 203–13, doi:10.1016/j.neuroscience.2018.07.025.
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2018 | Book Chapter | LibreCat-ID: 8573
Liebendörfer, Michael. “Psychologische Grundbedürfnisse Im Frühen Mathematikstudium.” Beiträge Zum Mathematikunterricht 2018, edited by Fachgruppe Didaktik der Mathematik der Universität Paderborn, WTM-Verlag, 2018, pp. 1171–74.
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2018 | Journal Article | LibreCat-ID: 8751
Peitz, Sebastian, and Michael 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, doi:10.3390/mca23020030.
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2018 | Journal Article | LibreCat-ID: 21941
Klus, Stefan, et al. “Data-Driven Model Reduction and Transfer Operator Approximation.” Journal of Nonlinear Science, 2018, pp. 985–1010, doi:10.1007/s00332-017-9437-7.
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2018 | Conference Paper | LibreCat-ID: 7766
Schumacher, Jan. “Semiotische Analyse von Sinnkonstruktionsprozessen bei einem innermathematischen Zugang zum Erlernen negativer Zahlen.” Beiträge zum Mathematikunterricht 2018, edited by Fachgruppe Didaktik der Mathematik der Universität Paderborn, WTM-Verlag, 2018.
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2018 | Book Chapter | LibreCat-ID: 8574
Liebendörfer, Michael, et al. “Auswirkungen von Innovativen Vorlesungen Für Lehramtsstudierende in Der Studieneingangsphase.” Beiträge Zum Mathematikunterricht 2018, edited by Fachgruppe Didaktik der Mathematik der Universität Paderborn, WTM-Verlag, 2018, pp. 1175–78.
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2018 | Conference Paper | LibreCat-ID: 8757
Beermann, Dennis, et al. “POD-Based Multiobjective Optimal Control of PDEs with Non-Smooth Objectives.” PAMM, 2018, pp. 51–54, doi:10.1002/pamm.201710015.
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2018 | Journal Article | LibreCat-ID: 10142
Steffen, Eckhard. “Approximating Vizing’s Independence Number Conjecture.” Australasian Journal of Combinatorics, vol. 71, no. 1, 2018, pp. 153–60.
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2018 | Report | LibreCat-ID: 16967
Hochmuth, Reinhard, 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. 2018, doi:10.2314/KXP:1689534117.
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2018 | Journal Article | LibreCat-ID: 16715
Bittracher, Andreas, et al. “Transition Manifolds of Complex Metastable Systems.” Journal of Nonlinear Science, vol. 28, 2018, pp. 471–512, doi:10.1007/s00332-017-9415-0.
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2018 | Journal Article | LibreCat-ID: 19935
McLachlan, Robert I., and Christian Offen. “Bifurcation of Solutions to Hamiltonian Boundary Value Problems.” Nonlinearity, 2018, pp. 2895–927, doi:10.1088/1361-6544/aab630.
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2018 | Journal Article | LibreCat-ID: 21942
Boninsegna, Lorenzo, et al. “Sparse Learning of Stochastic Dynamical Equations.” The Journal of Chemical Physics, 241723, 2018, doi:10.1063/1.5018409.
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2018 | Preprint | LibreCat-ID: 16292
Peitz, Sebastian. “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
Kuklinski, Christiane, et al. “Evaluating Innovative Measures in University Mathematics – The Case of Affective Outcomes in a Lecture Focused on Problem-Solving.” Proceedings of the Second Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2018, 5-7 April 2018), edited by V. Durand-Guerrier et al., INDRUM Network, University of Agder, 2018, pp. 527–36.
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2018 | Journal Article | LibreCat-ID: 10129
Fiol, M. A., et al. “Measures of Edge-Uncolorability of Cubic Graphs.” The Electronic Journal of Combinatorics, vol. 25, no. 4, P4.54, 2018.
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2018 | Journal Article | LibreCat-ID: 19943
McLachlan, Robert I., and Christian Offen. “Hamiltonian Boundary Value Problems, Conformal Symplectic Symmetries, and Conjugate Loci.” New Zealand Journal of Mathematics, vol. 48, 2018, pp. 83–99.
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2018 | Journal Article | LibreCat-ID: 21943
Hruska, Eugen, et al. “Quantitative Comparison of Adaptive Sampling Methods for Protein Dynamics.” The Journal of Chemical Physics, 244119, 2018, doi:10.1063/1.5053582.
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2018 | Journal Article | LibreCat-ID: 10132
Jin, Ligang, et al. “Cores, Joins  and the Fano-Flow Conjectures.” Discussiones Mathematicae Graph Theory, vol. 38, 2018, pp. 165–75, doi:10.7151/dmgt.1999.
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