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1302 Publications
2021 | Journal Article | LibreCat-ID: 45961
Nick, J., Kovács, B., & Lubich, C. (2021). Correction to: Stable and convergent fully discrete interior–exterior coupling of Maxwell’s equations. Numerische Mathematik, 147(4), 997–1000. https://doi.org/10.1007/s00211-021-01196-6
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| DOI
2021 | Journal Article | LibreCat-ID: 45959
Kovács, B., Li, B., & Lubich, C. (2021). A convergent evolving finite element algorithm for Willmore flow of closed surfaces. Numerische Mathematik, 149(3), 595–643. https://doi.org/10.1007/s00211-021-01238-z
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| DOI
2021 | Journal Article | LibreCat-ID: 34629
Hesse, K., Sloan, I. H., & Womersley, R. S. (2021). Local RBF-based penalized least-squares approximation on the sphere with noisy scattered data. Journal of Computational and Applied Mathematics, 382, Article 113061. https://doi.org/10.1016/j.cam.2020.113061
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2021 | Journal Article | LibreCat-ID: 32006
Guillarmou, C., & Küster, B. (2021). Spectral Theory of the Frame Flow on Hyperbolic 3-Manifolds. Annales Henri Poincaré, 22(11), 3565–3617. https://doi.org/10.1007/s00023-021-01068-7
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| DOI
2021 | Journal Article | LibreCat-ID: 53363
Rezat, S., Fan, L., & Pepin, B. (2021). Mathematics textbooks and curriculum resources as instruments for change. ZDM – Mathematics Education, 53(6), 1189–1206. https://doi.org/10.1007/s11858-021-01309-3
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| DOI
2021 | Book Chapter | LibreCat-ID: 34161
Rezat, S., Schacht, F., & Häsel-Weide, U. (2021). Challenges of making sense of tasks and automated feedback in digital mathematics textbooks. In A. Clark-Wilson, A. Donevska-Todorova, E. Faggiano, J. Trgalová , & H.-G. Weigang (Eds.), Mathematics Education in the Digital Age. Learning, Practice and Theory (pp. 168–184). Routledge. https://doi.org/10.4324/9781003137580
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2021 | Journal Article | LibreCat-ID: 44683
Rezat, S. (2021). How automated feedback from a digital mathematics textbook affects primary students’ conceptual development: two case studies. ZDM Mathematics Education, 53(6), 1433–1445. https://doi.org/10.1007/s11858-021-01263-0
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2021 | Book Chapter | LibreCat-ID: 35757
Hochmuth, R., Biehler, R., Blum, W., Achmetli, K., Rode, J., Krawitz, J., Schukajlow, S., Bender, P., & Haase, J. (2021). Fachwissen zur Arithmetik bei Grundschullehramtsstudierenden – Entwicklung im ersten Semester und Veränderungen durch eine Lehrinnovation. In R. Biehler, A. Eichler, R. Hochmuth, S. Rach, & N. Schaper (Eds.), Lehrinnovationen in der Hochschulmathematik . Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik (pp. 611–644). Springer Spektrum. https://doi.org/10.1007/978-3-662-62854-6_24
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2021 | Book Chapter | LibreCat-ID: 35746
Fleischmann, Y., Biehler, R., Gold, A., & Mai, T. (2021). Integration digitaler Lernmaterialien in die Präsenzlehre am Beispiel des Mathematikvorkurses für Ingenieure an der Universität Paderborn. In R. Biehler, A. Eichler, R. Hochmuth, S. Rach, & N. Schaper (Eds.), Lehrinnovationen in der Hochschulmathematik . Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik (pp. 321–363). Springer Spektrum. https://doi.org/10.1007/978-3-662-62854-6_15
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2021 | Book Chapter | LibreCat-ID: 35755
Gold, A., Fleischmann, Y., Mai, T., Biehler, R., & Kempen, L. (2021). Die Online-Lernmaterialien im Online-Mathematikvorkurs studiVEMINT: Konzeption und Ergebnisse von Nutzer- und Evaluationsstudien. In R. Biehler, A. Eichler, R. Hochmuth, S. Rach, & N. Schaper (Eds.), Lehrinnovationen in der Hochschulmathematik . Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik (pp. 365–397). Springer Spektrum. https://doi.org/10.1007/978-3-662-62854-6_16
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2021 | Book Chapter | LibreCat-ID: 35730
Biehler, R., Eichler, A., Hochmuth, R., Rach, S., & Schaper, N. (2021). Einführung: Lehrinnovationen in der Hochschulmathematik – praxisrelevant – didaktisch fundiert – forschungsbasiert. In R. Biehler, A. Eichler, R. Hochmuth, S. Rach, & N. Schaper (Eds.), Lehrinnovationen in der Hochschulmathematik . Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik (pp. 1–6). Springer Spektrum. https://doi.org/10.1007/978-3-662-62854-6_1
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2021 | Book Chapter | LibreCat-ID: 35720
Biehler, R. (2021). Mathematikvorkurse als Brücke in das Studium–Einführung. In R. Biehler, A. Eichler, R. Hochmuth, S. Rach, & N. Schaper (Eds.), Lehrinnovationen in der Hochschulmathematik . Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik (pp. 285–290). Springer Spektrum. https://doi.org/10.1007/978-3-662-62854-6_13
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| DOI
2021 | Journal Article | LibreCat-ID: 35737
Biehler, R., & Fleischer, Y. (2021). Introducing students to machine learning with decision trees using CODAP and Jupyter Notebooks. Teaching Statistics, 43, S133–S142. https://doi.org/10.1111/test.12279
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2021 | Book (Editor) | LibreCat-ID: 35734
Biehler, R., Eichler, A., Hochmuth, R., Rach, S., & Schaper, N. (Eds.). (2021). Lehrinnovationen in der Hochschulmathematik. Springer Spektrum. https://doi.org/10.1007/978-3-662-62854-6
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| DOI
2021 | Journal Article | LibreCat-ID: 35744
Biehler, R., & Weigand, H.-G. (2021). 3D-Geometrie–virtuell und real. mathematik lehren, 2021(228), 2–5.
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2021 | Journal Article | LibreCat-ID: 35778
Pepin, B., Biehler, R., & Gueudet, G. (2021). Mathematics in Engineering Education: a Review of the Recent Literature with a View towards Innovative Practices. International Journal of Research in Undergraduate Mathematics Education, 7(2), 163–188. https://doi.org/10.1007/s40753-021-00139-8
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2021 | Book Chapter | LibreCat-ID: 35776
Kempen, L., & Biehler, R. (2021). Design-Based Research in der Hochschullehre am Beispiel der Lehrveranstaltung „Einführung in die Kultur der Mathematik“. In R. Biehler, A. Eichler, R. Hochmuth, S. Rach, & N. Schaper (Eds.), Lehrinnovationen in der Hochschulmathematik . Konzepte und Studien zur Hochschuldidaktik und Lehrerbildung Mathematik (pp. 477–525). Springer Spektrum. https://doi.org/10.1007/978-3-662-62854-6_20
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| DOI
2021 | Book Chapter | LibreCat-ID: 35704
Winsløw, C., Biehler, R., Jaworski, B., Rønning, F., & Wawro, M. (2021). Education and professional development of university mathematics teachers. In V. Durand-Guerrier, R. Hochmuth, E. Nardi, & C. Winsløw (Eds.), Research and Development in University Mathematics Education (pp. 59–79). Routledge. https://doi.org/10.4324/9780429346859-6
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| DOI
2021 | Journal Article | LibreCat-ID: 35761
Höper, L., Malin, L., & Biehler, R. (2021). Schatten von 3D-Objekten: Modellierung mit GeoGebra 3D und Anwendungen in der Computergrafik. mathematik lehren, 2021(228), 19–22.
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2021 | Journal Article | LibreCat-ID: 35763
Hüsing, S., Weiser, N., & Biehler, R. (2021). Faszination 3D-Film: Entwicklung einer 3D-Konstruktion. mathematik lehren, 2021(228), 23–27.
LibreCat
2021 | Journal Article | LibreCat-ID: 35702
Schürmann, M., Panse, A., Shaikh, Z., Biehler, R., Schaper, N., Liebendörfer, M., & Hilgert, J. (2021). Consultation Phases in Mathematics Learning and Support Centres. International Journal of Research in Undergraduate Mathematics Education, 8(1), 94–120. https://doi.org/10.1007/s40753-021-00154-9
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2021 | Journal Article | LibreCat-ID: 35781
Podworny, S., & Biehler, R. (2021). 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, 24(4), 291–311. https://doi.org/10.1080/10986065.2021.1922837
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2021 | Journal Article | LibreCat-ID: 35751
Frischemeier, D., Biehler, R., Podworny, S., & Budde, L. (2021). 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, 43(S1), S182–S189. https://doi.org/10.1111/test.12283
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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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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 | 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: 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: 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: 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 | 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 | 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 | 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 | 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: 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 | Conference Paper | LibreCat-ID: 31873
Schumacher, J. (2020). Deduktion und Abduktion beim diagrammatischen Schließen – das didaktische Potential der Peirceschen Semiotik. https://doi.org/10.17877/DE290R-21555
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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: 34789
Amiri, H., Glöckner, H., & Schmeding, A. (2020). Lie groupoids of mappings taking values in a Lie groupoid. Archivum Mathematicum, 56(5), 307–356. https://doi.org/10.5817/AM2020-5-307
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2020 | Journal Article | LibreCat-ID: 34787
Glöckner, H., & Masbough, N. (2020). Products of regular locally compact spaces are k_R-spaces. Topology Proceedings, 55, 35–38.
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2020 | Journal Article | LibreCat-ID: 29399
Limebeer, D. J. N., Ober-Blöbaum, S., & Farshi, F. H. (2020). Variational integrators for dissipative systems. IEEE Transactions on Automatic Control, 65(4), 1381–1396.
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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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| DOI
2020 | Journal Article | LibreCat-ID: 29398
Hernández Castellanos, C. I. O., Schütze, G., Sun, J.-Q., Ober-Blöbaum, S., & Morales-Luna, G. (2020). Numerical computation of lightly multi-objective robust optimal solutions by means of generalized cell mapping. Mathematics, 8(11):1959.
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2020 | Conference Paper | LibreCat-ID: 29422
Lishkova, Y., Ober-Blöbaum, S., Cannon, M., & Leyendecker, S. (2020). A multirate variational approach to simulation and optimal control for flexible spacecraft. Accepted for Publication in Proceedings of 2020 AAS/AIAA Astrodynamics Specialist Conference - Lake Tahoe.
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2020 | Conference Paper | LibreCat-ID: 29423
Faulwasser, T., Flaßkamp, K., Ober-Blöbaum, S., & Worthmann, K. (2020). A dissipativity characterization of velocity turnpikes in optimal control problems for mechanical systems. 24th International Symposium on Mathematical Theory of Networks and Systems.
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2020 | Conference Paper | LibreCat-ID: 29424
Cresson, J., Jiménez, F., & Ober-Blöbaum, S. (2020). Modelling of the convection-diffusion equation through fractional restricted calculus of variations. 24th International Symposium on Mathematical Theory of Networks and Systems.
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2020 | Journal Article | LibreCat-ID: 29545
Jean, F., Maslovskaya, S., & Zelenko, I. (2020). On Weyl’s type theorems and genericity of projective rigidity in sub-Riemannian geometry. Geometriae Dedicata, 213(1), 295–314. https://doi.org/10.1007/s10711-020-00581-z
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2020 | Conference Abstract | LibreCat-ID: 29546 |
Maslovskaya, S., Caillau, J.-B., Djema, W., Giraldi, L., Jean-Luc, J.-L., & Pomet, J.-B. (2020). The turnpike property in maximization of microbial metabolite production. IFAC 2020 - 21rst IFAC World Congress.
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2020 | Journal Article | LibreCat-ID: 31264
Küster, B., & Weich, T. (2020). Pollicott-Ruelle Resonant States and Betti Numbers. Communications in Mathematical Physics, 378(2), 917–941. https://doi.org/10.1007/s00220-020-03793-2
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2020 | Conference Paper | LibreCat-ID: 31372 |
Hoffmann, M. (2020). Schnittstellenaktivitäten zum Kongruenzsatz WSW. In H.-S. Siller, W. Weigel, & J. F. Wörler (Eds.), Beiträge zum Mathematikunterricht 2020 (pp. 1353–1356). WTM-Verlag. https://doi.org/10.17877/DE290R-21368
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