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1304 Publications


2021 | Journal Article | LibreCat-ID: 36271
D. Brennecken, J. Hilgert, and L. Ciardo, “Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(R)/SOn(R),” Journal of Lie Theory, vol. 31, no. 2, pp. 459--468, 2021, doi: 10.48550/arXiv.2008.07479.
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2021 | Book (Editor) | LibreCat-ID: 51493
J. Hilgert and I. Hilgert, Eds., Mathematik - Ein Reiseführer 2. Auflage. Springer Spektrum, 2021.
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2021 | Preprint | LibreCat-ID: 51503 | OA
J. Hilgert, T. Weich, and L. Wolf, “Higher-rank quantum-classical correspondence.” 2021.
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2021 | Book Review | LibreCat-ID: 51556
J. Hilgert, “Philip Ording: 99 Variations on a Proof. Princeton University Press 2019,” Mathematische Semesterberichte, vol. 68. pp. 171–173, 2021, doi: 10.1007/s00591-021-00295-7.
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2021 | Book Review | LibreCat-ID: 51555
J. Hilgert, “Georg Glaeser (Hrsg.): 77-mal Mathematik für zwischendurch – Unterhaltsame Kuriositäten und unorthodoxe Anwendungen. Springer Spektrum 2020,” Mathematische Semesterberichte, vol. 68. pp. 175–177, 2021, doi: 10.1007/s00591-021-00296-6.
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2021 | Journal Article | LibreCat-ID: 45967
T. Binz and B. Kovács, “A convergent finite element algorithm for mean curvature flow in higher codimension,” arXiv, 2021.
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2021 | Journal Article | LibreCat-ID: 45962
T. Binz and B. Kovács, “A convergent finite element algorithm for generalized mean curvature flows of closed surfaces,” IMA Journal of Numerical Analysis, vol. 42, no. 3, pp. 2545–2588, 2021, doi: 10.1093/imanum/drab043.
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2021 | Journal Article | LibreCat-ID: 45957
P. Harder and B. Kovács, “Error estimates for the Cahn–Hilliard equation with dynamic boundary conditions,” IMA Journal of Numerical Analysis, vol. 42, no. 3, pp. 2589–2620, 2021, doi: 10.1093/imanum/drab045.
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2021 | Journal Article | LibreCat-ID: 45961
J. Nick, B. Kovács, and C. Lubich, “Correction to: Stable and convergent fully discrete interior–exterior coupling of Maxwell’s equations,” Numerische Mathematik, vol. 147, no. 4, pp. 997–1000, 2021, doi: 10.1007/s00211-021-01196-6.
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2021 | Journal Article | LibreCat-ID: 45959
B. Kovács, B. Li, and C. Lubich, “A convergent evolving finite element algorithm for Willmore flow of closed surfaces,” Numerische Mathematik, vol. 149, no. 3, pp. 595–643, 2021, doi: 10.1007/s00211-021-01238-z.
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2021 | Journal Article | LibreCat-ID: 34629
K. Hesse, I. H. Sloan, and R. S. Womersley, “Local RBF-based penalized least-squares approximation on the sphere with noisy scattered data,” Journal of Computational and Applied Mathematics, vol. 382, Art. no. 113061, 2021, doi: 10.1016/j.cam.2020.113061.
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2021 | Journal Article | LibreCat-ID: 32006
C. Guillarmou and B. Küster, “Spectral Theory of the Frame Flow on Hyperbolic 3-Manifolds,” Annales Henri Poincaré, vol. 22, no. 11, pp. 3565–3617, 2021, doi: 10.1007/s00023-021-01068-7.
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2021 | Journal Article | LibreCat-ID: 53363
S. Rezat, L. Fan, and B. Pepin, “Mathematics textbooks and curriculum resources as instruments for change,” ZDM – Mathematics Education, vol. 53, no. 6, pp. 1189–1206, 2021, doi: 10.1007/s11858-021-01309-3.
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2021 | Book Chapter | LibreCat-ID: 34161
S. Rezat, F. Schacht, and U. Häsel-Weide, “Challenges of making sense of tasks and automated feedback in digital mathematics textbooks,” in Mathematics Education in the Digital Age. Learning, Practice and Theory, A. Clark-Wilson, A. Donevska-Todorova, E. Faggiano, J. Trgalová , and H.-G. Weigang, Eds. London: Routledge, 2021, pp. 168–184.
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2021 | Journal Article | LibreCat-ID: 44683
S. Rezat, “How automated feedback from a digital mathematics textbook affects primary students’ conceptual development: two case studies,” ZDM Mathematics Education, vol. 53, no. 6, pp. 1433–1445, 2021, doi: 10.1007/s11858-021-01263-0.
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2021 | Book Chapter | LibreCat-ID: 35757
R. Hochmuth et al., “Fachwissen zur Arithmetik bei Grundschullehramtsstudierenden – Entwicklung im ersten Semester und Veränderungen durch eine Lehrinnovation,” in Lehrinnovationen in der Hochschulmathematik . Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik, R. Biehler, A. Eichler, R. Hochmuth, S. Rach, and N. Schaper, Eds. Berlin, Heidelberg: Springer Spektrum, 2021, pp. 611–644.
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2021 | Book Chapter | LibreCat-ID: 35746
Y. Fleischmann, R. Biehler, A. Gold, and T. Mai, “Integration digitaler Lernmaterialien in die Präsenzlehre am Beispiel des Mathematikvorkurses für Ingenieure an der Universität Paderborn,” in Lehrinnovationen in der Hochschulmathematik . Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik, R. Biehler, A. Eichler, R. Hochmuth, S. Rach, and N. Schaper, Eds. Berlin, Heidelberg: Springer Spektrum, 2021, pp. 321–363.
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2021 | Book Chapter | LibreCat-ID: 35755
A. Gold, Y. Fleischmann, T. Mai, R. Biehler, and L. Kempen, “Die Online-Lernmaterialien im Online-Mathematikvorkurs studiVEMINT: Konzeption und Ergebnisse von Nutzer- und Evaluationsstudien,” in Lehrinnovationen in der Hochschulmathematik . Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik, R. Biehler, A. Eichler, R. Hochmuth, S. Rach, and N. Schaper, Eds. Berlin, Heidelberg: Springer Spektrum, 2021, pp. 365–397.
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2021 | Book Chapter | LibreCat-ID: 35730
R. Biehler, A. Eichler, R. Hochmuth, S. Rach, and N. Schaper, “Einführung: Lehrinnovationen in der Hochschulmathematik – praxisrelevant – didaktisch fundiert – forschungsbasiert,” in Lehrinnovationen in der Hochschulmathematik . Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik, R. Biehler, A. Eichler, R. Hochmuth, S. Rach, and N. Schaper, Eds. Berlin, Heidelberg: Springer Spektrum, 2021, pp. 1–6.
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2021 | Book Chapter | LibreCat-ID: 35720
R. Biehler, “Mathematikvorkurse als Brücke in das Studium–Einführung,” in Lehrinnovationen in der Hochschulmathematik . Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik, R. Biehler, A. Eichler, R. Hochmuth, S. Rach, and N. Schaper, Eds. Berlin, Heidelberg: Springer Spektrum, 2021, pp. 285–290.
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2021 | Journal Article | LibreCat-ID: 35737
R. Biehler and Y. Fleischer, “Introducing students to machine learning with decision trees using CODAP and Jupyter Notebooks,” Teaching Statistics, vol. 43, pp. S133–S142, 2021, doi: 10.1111/test.12279.
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2021 | Book (Editor) | LibreCat-ID: 35734
R. Biehler, A. Eichler, R. Hochmuth, S. Rach, and N. Schaper, Eds., Lehrinnovationen in der Hochschulmathematik. Berlin, Heidelberg: Springer Spektrum, 2021.
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2021 | Journal Article | LibreCat-ID: 35744
R. Biehler and H.-G. Weigand, “3D-Geometrie–virtuell und real,” mathematik lehren, vol. 2021, no. 228, pp. 2–5, 2021.
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2021 | Journal Article | LibreCat-ID: 35778
B. Pepin, R. Biehler, and G. Gueudet, “Mathematics in Engineering Education: a Review of the Recent Literature with a View towards Innovative Practices,” International Journal of Research in Undergraduate Mathematics Education, vol. 7, no. 2, pp. 163–188, 2021, doi: 10.1007/s40753-021-00139-8.
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2021 | Book Chapter | LibreCat-ID: 35776
L. Kempen and R. Biehler, “Design-Based Research in der Hochschullehre am Beispiel der Lehrveranstaltung „Einführung in die Kultur der Mathematik“,” in Lehrinnovationen in der Hochschulmathematik . Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik, R. Biehler, A. Eichler, R. Hochmuth, S. Rach, and N. Schaper, Eds. Berlin, Heidelberg: Springer Spektrum, 2021, pp. 477–525.
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2021 | Book Chapter | LibreCat-ID: 35704
C. Winsløw, R. Biehler, B. Jaworski, F. Rønning, and M. Wawro, “Education and professional development of university mathematics teachers,” in Research and Development in University Mathematics Education, V. Durand-Guerrier, R. Hochmuth, E. Nardi, and C. Winsløw, Eds. Routledge, 2021, pp. 59–79.
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2021 | Journal Article | LibreCat-ID: 35761
L. Höper, L. Malin, and R. Biehler, “Schatten von 3D-Objekten: Modellierung mit GeoGebra 3D und Anwendungen in der Computergrafik,” mathematik lehren, vol. 2021, no. 228, pp. 19–22, 2021.
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2021 | Journal Article | LibreCat-ID: 35763
S. Hüsing, N. Weiser, and R. Biehler, “Faszination 3D-Film: Entwicklung einer 3D-Konstruktion,” mathematik lehren, vol. 2021, no. 228, pp. 23–27, 2021.
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2021 | Journal Article | LibreCat-ID: 35702
M. Schürmann et al., “Consultation Phases in Mathematics Learning and Support Centres,” International Journal of Research in Undergraduate Mathematics Education, vol. 8, no. 1, pp. 94–120, 2021, doi: 10.1007/s40753-021-00154-9.
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2021 | Journal Article | LibreCat-ID: 35781
S. Podworny and R. Biehler, “The process of actively building a model for a randomization test – insights into learners’ modeling activities based on a case study,” Mathematical Thinking and Learning, vol. 24, no. 4, pp. 291–311, 2021, doi: 10.1080/10986065.2021.1922837.
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2021 | Journal Article | LibreCat-ID: 35751
D. Frischemeier, R. Biehler, S. Podworny, and L. Budde, “A first introduction to data science education in secondary schools: Teaching and learning about data exploration with<scp>CODAP</scp>using survey data,” Teaching Statistics, vol. 43, no. S1, pp. S182–S189, 2021, doi: 10.1111/test.12283.
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2021 | Journal Article | LibreCat-ID: 24786
M. Schürmann et al., “Opportunities and Possibilities of a Network of Mathematical Learning and Support Centres in Germany,” Sigma newsletter, vol. 22, pp. 5–6, 2021.
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2021 | Journal Article | LibreCat-ID: 45335
J. Schönherr, S. Schukajlow, and J. Blomberg, “Was ist eine gute Skizze? Strategiewissen beim mathematischen Modellieren im Bereich der Geometrie fördern,” mathematik lehren, vol. 224, pp. 22–27, 2021.
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2021 | Journal Article | LibreCat-ID: 45333
J. Schönherr, S. Schukajlow, J. Blomberg, and C. Leopold, “Does strategic knowledge matter? Effects of strategic knowledge about drawing on students’ modeling competencies in the domain of geometry,” Mathematical Thinking and Learning, 2021, doi: 10.1080/10986065.2021.2012741.
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2021 | Journal Article | LibreCat-ID: 45342
J. Schönherr, J. Blomberg, S. Schukajlow, and C. Leopold, “Do emotions and prior performance facilitate the use of the learner-generated drawing strategy? Effects of enjoyment, anxiety, and intramathematical performance on the use of the drawing strategy and modelling performance,” Contemporary Educational Psychology, vol. 65, 2021, doi: 10.1016/j.cedpsych.2021.101967.
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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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2020 | Journal Article | LibreCat-ID: 19939 | OA
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 | 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: 21819 | OA
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: 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: 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 | 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 | 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 | Journal Article | LibreCat-ID: 16290 | OA
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 | 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: 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 | Conference Paper | LibreCat-ID: 31873
J. Schumacher, “Deduktion und Abduktion beim diagrammatischen Schließen – das didaktische Potential der Peirceschen Semiotik,” 2020, doi: 10.17877/DE290R-21555.
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2020 | Journal Article | LibreCat-ID: 16710 | OA
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, doi: 10.1137/19m1247139.
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2020 | Journal Article | LibreCat-ID: 34789
H. Amiri, H. Glöckner, and A. Schmeding, “Lie groupoids of mappings taking values in a Lie groupoid,” Archivum Mathematicum, vol. 56, no. 5, pp. 307–356, 2020, doi: 10.5817/AM2020-5-307.
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2020 | Journal Article | LibreCat-ID: 34787
H. Glöckner and N. Masbough, “Products of regular locally compact spaces are k_R-spaces,” Topology Proceedings, vol. 55, pp. 35–38, 2020.
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