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1305 Publications


2021 | Journal Article | LibreCat-ID: 35603
Tao, Youshan, and Michael Winkler. “A Fully Cross-Diffusive Two-Component Evolution System: Existence and Qualitative Analysis via Entropy-Consistent Thin-Film-Type Approximation.” Journal of Functional Analysis 281 (2021).
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2021 | Journal Article | LibreCat-ID: 35606
Tao, Youshan, and Michael Winkler. “The Dampening Role of Large Repulsive Convection in a Chemotaxis System Modeling Tumor Angiogenesis.” Nonlinear Analysis, Theory, Methods and Applications 208 (2021).
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2021 | Journal Article | LibreCat-ID: 35612
Wang, Yulan, Michael Winkler, and Zhaoyin Xiang. “Immediate Regularization of Measure-Type Population Densities in a Two-Dimensional Chemotaxis System with Signal Consumption.” Science China Mathematics 64 (2021): 725–46.
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2021 | Journal Article | LibreCat-ID: 35601
Ding, Mengyao, and Michael Winkler. “Small-Density Solutiions in Keller-Segel Systems Involving Rapidly Decaying Diffusivities.” Nonlinear Differential Equatiions and Applicatiions 28 (2021).
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2021 | Journal Article | LibreCat-ID: 35605
Tao, Youshan, and Michael Winkler. “Global Smooth Solutions in a Two-Dimensional Cross-Diffusion System Modeling Propagation of Urban Crime.” Communications in Mathematical Sciences 19 (2021): 829–49.
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2021 | Journal Article | LibreCat-ID: 35604
Tao, Youshan, and Michael Winkler. “Taxis-Driven Formation of Singular Hotspots in a May-Nowak Type Model for Virus Infection.” SIAM Journal on Mathematical Analysis 53 (2021): 1411–33.
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2021 | Journal Article | LibreCat-ID: 35610
Wang, Yulan, Michael Winkler, and Zhaoyin Xiang. “Local Energy Estimates and Global Solvability in a  Threee-Dimensional Chemotaxis-Fluid System with Prescribed Signal on the Boundary.” Communications in Partial Differential Equations 46 (2021): 1058–91.
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2021 | Journal Article | LibreCat-ID: 35611
Wang, Yulan, Michael Winkler, and Zhaoyin Xiang. “Global Solvability in a Threee-Dimensional Keller-Segel.Stokes System Involving Arbitrary Superlinear Logistic Degradation.” Advances in Nonlinear Analysis 10 (2021): 707–31.
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2021 | Journal Article | LibreCat-ID: 35608
Tao, Youshan, and Michael Winkler. “Critical Mass for Infinite-Time Blow-up in a Haptotaxis System with Nonlinear Zero-Order Interaction.” Discrete and Continuous Dynamical Systems 41, no. A (2021): 439–54.
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2021 | Journal Article | LibreCat-ID: 34840
Klüners, Jürgen, and Toru Komatsu. “Imaginary Multiquadratic Number Fields with Class Group of Exponent $3$ and $5$.” Mathematics of Computation 90, no. 329 (2021): 1483–97. https://doi.org/10.1090/mcom/3609.
LibreCat | DOI | arXiv
 

2021 | Journal Article | LibreCat-ID: 34912
Kirschmer, Markus, Fabien Narbonne, Christophe Ritzenthaler, and Damien Robert. “Spanning the Isogeny Class of a Power of an Elliptic Curve.” Mathematics of Computation 91, no. 333 (2021): 401–49. https://doi.org/10.1090/mcom/3672.
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2021 | Journal Article | LibreCat-ID: 44329
Burban, Igor, and R. Abedin. “Algebraic Geometry of Lie Bialgebras Defined by Solutions of the Classical Yang-Baxter Equation.” Communications in Mathematical Physics 387, no. 2 (2021): 1051–1109. https://doi.org/10.1007/s00220-021-04188-7.
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2021 | Journal Article | LibreCat-ID: 34822
Bruns, Julia, Hedwig Gasteiger, and Carolin Strahl. “Conceptualising and Measuring Domain-Specific Content Knowledge of Early Childhood Educators: A Systematic Review.” Review of Education 9, no. 2 (2021): 500–538. https://doi.org/10.1002/rev3.3255.
LibreCat | DOI | WoS
 

2021 | Journal Article | LibreCat-ID: 45687
Bruns, Julia, and T. Schopferer. “Eine mustergültige Wissenschaft.” . . TPS – Theorie und Praxis der Sozialpädagogik 11 (2021): 28–32.
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2021 | Conference Paper | LibreCat-ID: 36527 | OA
Jensen, Solveig, Hedwig Gasteiger, and Julia Bruns. “Place Value and Regrouping as Seperate Constructs of Place Value Understanding.” In Proceedings of the 44th Conference of the International Group for the Psychology of Mathematics Education, edited by Maitree Inprasitha, Narumon Changsri, and Nisakorn Boonsena, 3:101–9, 2021.
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2021 | Journal Article | LibreCat-ID: 34823
Bruns, Julia, Hedwig Gasteiger, and Carolin Strahl. “Context and Implications Document for: Conceptualising and Measuring Domain-Specific Content Knowledge of Early Childhood Educators: A Systematic Review.” Review of Education 9, no. 2 (2021): 539–40. https://doi.org/10.1002/rev3.3256.
LibreCat | DOI | WoS
 

2021 | Conference Paper | LibreCat-ID: 36536 | OA
Jensen, Solveig, Hedwig Gasteiger, and Julia Bruns. “Stellenwertverständnis: Verständnis von Stellenwertprinzip und Bündelungsprinzip als separate Konstrukte.” In Beiträge zum Mathematikunterricht 2021, edited by Gesellschaft für Didaktik der Mathematik. WTM-Verlag, 2021. http://dx.doi.org/10.17877/DE290R-22292.
LibreCat | DOI | Download (ext.)
 

2021 | Journal Article | LibreCat-ID: 45343
Schönherr, Johanna, S. Schukajlow, J. Blomberg, and C. Leopold. “The Role of Strategy-Based Motivation in Mathematical Problem Solving: The Case of Learner-Generated Drawings.” Learning and Instruction 80 (2021). https://doi.org/10.1016/j.learninstruc.2021.101561.
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2021 | Journal Article | LibreCat-ID: 34673
Black, Tobias, Mario Fuest, and Johannes Lankeit. “Relaxed Parameter Conditions for Chemotactic Collapse in Logistic-Type Parabolic–Elliptic Keller–Segel Systems.” Zeitschrift Für Angewandte Mathematik Und Physik 72, no. 3 (2021). https://doi.org/10.1007/s00033-021-01524-8.
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2021 | Journal Article | LibreCat-ID: 34675
Black, Tobias, and Chunyan Wu. “Prescribed Signal Concentration on the Boundary: Weak Solvability in a Chemotaxis-Stokes System with Proliferation.” Zeitschrift Für Angewandte Mathematik Und Physik 72, no. 4 (2021). https://doi.org/10.1007/s00033-021-01565-z.
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2021 | Journal Article | LibreCat-ID: 45381
Dröse, Jennifer, S. Prediger, P. Neugebauer, R. D. Danhier, and B. Mertins. “Investigating Students’ Processes of Noticing and Interpreting Syntactic Language Features in Word Problem Solving through Eye-Tracking.” International Electronic Journal of Mathematics Education, 16(1), Em0625, 2021. https://doi.org/doi.org/10.29333/iejme/9674n .
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2021 | Journal Article | LibreCat-ID: 45380
Dröse, Jennifer, and S. Prediger. “Identifying Obstacles Is Not Enough for Everybody – Differential Efficacy of an Intervention Fostering Fifth Graders’ Comprehension for Word Problems.” Studies in Educational Evaluation, 68 (100953), 2021, 1–15. https://doi.org/doi.org/10.1016/j.stueduc.2020.100953.
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2021 | Journal Article | LibreCat-ID: 31578
Häsel-Weide, Uta, Simone Seitz, Melina Wallner, Yannik Wilke, and Lara Heckmann. “Mit Aufgaben im inklusiven Mathematikunterricht professionell umgehen - Erkenntnisse einer Interviewstudie mit Lehrpersonen der Sekundarstufe.” QfI - Qualifizierung für Inklusion. Online-Zeitschrift zur Forschung über Aus-, Fort- und Weiterbildung pädagogischer Fachkräfte 3, no. 1 (2021). https://doi.org/10.21248/qfi.57.
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2021 | Conference Paper | LibreCat-ID: 31583
Hattermann, Mathias, Uta Häsel-Weide, and Melina Wallner. “Conceptualiziation Processes of 6th Graders for Rotational Symmetry.” In Proceedings of the 44th Conference of the International Group for the Psychology of Mathematics Education , edited by M. Inprasitha, N. Changsri, and N. Boonsena, 3:9–15, 2021.
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2021 | Conference Paper | LibreCat-ID: 22894 | OA
Offen, Christian, and Sina Ober-Blöbaum. “Bifurcation Preserving Discretisations of Optimal Control Problems.” IFAC-PapersOnLine, 2021. https://doi.org/10.1016/j.ifacol.2021.11.099.
LibreCat | Files available | DOI | Download (ext.) | arXiv
 

2021 | Conference Paper | LibreCat-ID: 21572
Ridderbusch, Steffen, Christian Offen, Sina Ober-Blöbaum, and Paul Goulart. “Learning ODE Models with Qualitative Structure Using Gaussian Processes .” In 2021 60th IEEE Conference on Decision and Control (CDC), 2896. IEEE, 2021. https://doi.org/10.1109/CDC45484.2021.9683426.
LibreCat | Files available | DOI | arXiv
 

2021 | Conference Paper | LibreCat-ID: 21592
Vertovec, Nikolaus, Sina Ober-Blöbaum, and Kostas Margellos. “Multi-Objective Minimum Time Optimal Control for Low-Thrust Trajectory Design,” 1975–80, n.d.
LibreCat | arXiv
 

2021 | Conference Paper | LibreCat-ID: 29868
Jiménez, F., and Sina Ober-Blöbaum. “Fractional Damping Through Restricted Calculus of Variations.” In Nichtlineare Sci 31, Vol. 46. J Nonlinear Sci , 2021.
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2021 | Journal Article | LibreCat-ID: 34827
Bruns, Julia, Elisabeth Unterhauser, and Hedwig Gasteiger. “Geometrisches Begriffsverständnis in der Grundschule am Beispiel der Begriffe Viereck, Rechteck und Quadrat.” Journal für Mathematik-Didaktik 42, no. 2 (2021): 581–623. https://doi.org/10.1007/s13138-021-00185-4.
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2021 | Journal Article | LibreCat-ID: 45382
Prediger, Susanne, and Jennifer Dröse. “Fehlerbearbeitung bei mathematischen Textaufgaben – Sprachliche und strategische Fehlerursachen und ihre Bearbeitung.” Lernen und Lernstörungen, 10(2), 2021. https://doi.org/doi.org/10.1024/2235-0977/a000330.
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2021 | Journal Article | LibreCat-ID: 31263
Guillarmou, Colin, Joachim Hilgert, and Tobias Weich. “High Frequency Limits for Invariant Ruelle Densities.” Annales Henri Lebesgue 4 (2021): 81–119. https://doi.org/10.5802/ahl.67.
LibreCat | DOI | arXiv
 

2021 | Journal Article | LibreCat-ID: 36271
Brennecken, Dominik, Joachim Hilgert, and Lorenzo Ciardo. “Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(R)/SOn(R).” Journal of Lie Theory 31, no. 2 (2021): 459--468. https://doi.org/10.48550/arXiv.2008.07479.
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2021 | Book (Editor) | LibreCat-ID: 51493
Hilgert, Joachim, and I. Hilgert, eds. Mathematik - Ein Reiseführer 2. Auflage. Springer Spektrum, 2021.
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2021 | Preprint | LibreCat-ID: 51503 | OA
Hilgert, Joachim, Tobias Weich, and L. Wolf. “Higher-Rank Quantum-Classical Correspondence,” 2021.
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2021 | Book Review | LibreCat-ID: 51556
Hilgert, Joachim. “Philip Ording: 99 Variations on a Proof. Princeton University Press 2019.” Mathematische Semesterberichte, 2021. https://doi.org/10.1007/s00591-021-00295-7.
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2021 | Book Review | LibreCat-ID: 51555
Hilgert, Joachim. “Georg Glaeser (Hrsg.): 77-mal Mathematik für zwischendurch – Unterhaltsame Kuriositäten und unorthodoxe Anwendungen. Springer Spektrum 2020.” Mathematische Semesterberichte, 2021. https://doi.org/10.1007/s00591-021-00296-6.
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2021 | Journal Article | LibreCat-ID: 45967
Binz, Tim, and Balázs 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
Binz, Tim, and Balázs Kovács. “A Convergent Finite Element Algorithm for Generalized Mean Curvature Flows of Closed Surfaces.” IMA Journal of Numerical Analysis 42, no. 3 (2021): 2545–88. https://doi.org/10.1093/imanum/drab043.
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2021 | Journal Article | LibreCat-ID: 45957
Harder, Paula, and Balázs Kovács. “Error Estimates for the Cahn–Hilliard Equation with Dynamic Boundary Conditions.” IMA Journal of Numerical Analysis 42, no. 3 (2021): 2589–2620. https://doi.org/10.1093/imanum/drab045.
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2021 | Journal Article | LibreCat-ID: 45961
Nick, Jörg, Balázs Kovács, and Christian Lubich. “Correction to: Stable and Convergent Fully Discrete Interior–Exterior Coupling of Maxwell’s Equations.” Numerische Mathematik 147, no. 4 (2021): 997–1000. https://doi.org/10.1007/s00211-021-01196-6.
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2021 | Journal Article | LibreCat-ID: 45959
Kovács, Balázs, Buyang Li, and Christian Lubich. “A Convergent Evolving Finite Element Algorithm for Willmore Flow of Closed Surfaces.” Numerische Mathematik 149, no. 3 (2021): 595–643. https://doi.org/10.1007/s00211-021-01238-z.
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2021 | Journal Article | LibreCat-ID: 34629
Hesse, Kerstin, Ian H. Sloan, and Robert S. Womersley. “Local RBF-Based Penalized Least-Squares Approximation on the Sphere with Noisy Scattered Data.” Journal of Computational and Applied Mathematics 382 (2021). https://doi.org/10.1016/j.cam.2020.113061.
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2021 | Journal Article | LibreCat-ID: 32006
Guillarmou, Colin, and Benjamin Küster. “Spectral Theory of the Frame Flow on Hyperbolic 3-Manifolds.” Annales Henri Poincaré 22, no. 11 (2021): 3565–3617. https://doi.org/10.1007/s00023-021-01068-7.
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2021 | Journal Article | LibreCat-ID: 53363
Rezat, Sebastian, Lianghuo Fan, and Birgit Pepin. “Mathematics Textbooks and Curriculum Resources as Instruments for Change.” ZDM – Mathematics Education 53, no. 6 (2021): 1189–1206. https://doi.org/10.1007/s11858-021-01309-3.
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2021 | Book Chapter | LibreCat-ID: 34161
Rezat, Sebastian, Florian Schacht, and Uta 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, edited by A. Clark-Wilson, A. Donevska-Todorova, E. Faggiano, J. Trgalová , and H.-G. Weigang, 168–84. London: Routledge, 2021. https://doi.org/10.4324/9781003137580.
LibreCat | Files available | DOI
 

2021 | Journal Article | LibreCat-ID: 44683
Rezat, Sebastian. “How Automated Feedback from a Digital Mathematics Textbook Affects Primary Students’ Conceptual Development: Two Case Studies.” ZDM Mathematics Education 53, no. 6 (2021): 1433–45. https://doi.org/10.1007/s11858-021-01263-0.
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2021 | Book Chapter | LibreCat-ID: 35757
Hochmuth, Reinhard, Rolf Biehler, Werner Blum, Kay Achmetli, Jana Rode, Janina Krawitz, Stanislaw Schukajlow, Peter Bender, and Jürgen Haase. “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, edited by Rolf Biehler, Andreas Eichler, Reinhard Hochmuth, Stefanie Rach, and Niclas Schaper, 611–44. Berlin, Heidelberg: Springer Spektrum, 2021. https://doi.org/10.1007/978-3-662-62854-6_24.
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2021 | Book Chapter | LibreCat-ID: 35746
Fleischmann, Yael, Rolf Biehler, Alexander Gold, and Tobias 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, edited by Rolf Biehler, Andreas Eichler, Reinhard Hochmuth, Stefanie Rach, and Niclas Schaper, 321–63. Berlin, Heidelberg: Springer Spektrum, 2021. https://doi.org/10.1007/978-3-662-62854-6_15.
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2021 | Book Chapter | LibreCat-ID: 35755
Gold, Alexander, Yael Fleischmann, Tobias Mai, Rolf Biehler, and Leander 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, edited by Rolf Biehler, Andreas Eichler, Reinhard Hochmuth, Stefanie Rach, and Niclas Schaper, 365–97. Berlin, Heidelberg: Springer Spektrum, 2021. https://doi.org/10.1007/978-3-662-62854-6_16.
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2021 | Book Chapter | LibreCat-ID: 35730
Biehler, Rolf, Andreas Eichler, Reinhard Hochmuth, Stefanie Rach, and Niclas Schaper. “Einführung: Lehrinnovationen in Der Hochschulmathematik – Praxisrelevant – Didaktisch Fundiert – Forschungsbasiert.” In Lehrinnovationen in Der Hochschulmathematik . Konzepte Und Studien Zur Hochschuldidaktik Und Lehrerbildung Mathematik, edited by Rolf Biehler, Andreas Eichler, Reinhard Hochmuth, Stefanie Rach, and Niclas Schaper, 1–6. Berlin, Heidelberg: Springer Spektrum, 2021. https://doi.org/10.1007/978-3-662-62854-6_1.
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