--- _id: '37354' author: - first_name: Youshan full_name: Tao, Youshan last_name: Tao - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler citation: ama: Tao Y, Winkler M. Global classical solutions to a doubly haptotactic cross-diffusion system modeling oncolytic virotherapy. Journal of Differential Equations. 2020;268:4973-4997. apa: Tao, Y., & Winkler, M. (2020). Global classical solutions to a doubly haptotactic cross-diffusion system modeling oncolytic virotherapy. Journal of Differential Equations, 268, 4973–4997. bibtex: '@article{Tao_Winkler_2020, title={Global classical solutions to a doubly haptotactic cross-diffusion system modeling oncolytic virotherapy.}, volume={268}, journal={Journal of Differential Equations}, author={Tao, Youshan and Winkler, Michael}, year={2020}, pages={4973–4997} }' chicago: 'Tao, Youshan, and Michael Winkler. “Global Classical Solutions to a Doubly Haptotactic Cross-Diffusion System Modeling Oncolytic Virotherapy.” Journal of Differential Equations 268 (2020): 4973–97.' ieee: Y. Tao and M. Winkler, “Global classical solutions to a doubly haptotactic cross-diffusion system modeling oncolytic virotherapy.,” Journal of Differential Equations, vol. 268, pp. 4973–4997, 2020. mla: Tao, Youshan, and Michael Winkler. “Global Classical Solutions to a Doubly Haptotactic Cross-Diffusion System Modeling Oncolytic Virotherapy.” Journal of Differential Equations, vol. 268, 2020, pp. 4973–97. short: Y. Tao, M. Winkler, Journal of Differential Equations 268 (2020) 4973–4997. date_created: 2023-01-18T12:23:40Z date_updated: 2023-01-20T13:14:20Z department: - _id: '34' - _id: '10' - _id: '90' intvolume: ' 268' language: - iso: eng page: 4973-4997 publication: Journal of Differential Equations status: public title: Global classical solutions to a doubly haptotactic cross-diffusion system modeling oncolytic virotherapy. type: journal_article user_id: '15645' volume: 268 year: '2020' ... --- _id: '37351' article_number: '111870' author: - first_name: Youshan full_name: Tao, Youshan last_name: Tao - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler citation: ama: Tao Y, Winkler M. A critical virus production rate for blow-up suppression in a haptotaxis model for oncolytic virotherapy. Nonlinear Analysis. 2020;198. apa: Tao, Y., & Winkler, M. (2020). A critical virus production rate for blow-up suppression in a haptotaxis model for oncolytic virotherapy. Nonlinear Analysis, 198, Article 111870. bibtex: '@article{Tao_Winkler_2020, title={A critical virus production rate for blow-up suppression in a haptotaxis model for oncolytic virotherapy.}, volume={198}, number={111870}, journal={Nonlinear Analysis}, author={Tao, Youshan and Winkler, Michael}, year={2020} }' chicago: Tao, Youshan, and Michael Winkler. “A Critical Virus Production Rate for Blow-up Suppression in a Haptotaxis Model for Oncolytic Virotherapy.” Nonlinear Analysis 198 (2020). ieee: Y. Tao and M. Winkler, “A critical virus production rate for blow-up suppression in a haptotaxis model for oncolytic virotherapy.,” Nonlinear Analysis, vol. 198, Art. no. 111870, 2020. mla: Tao, Youshan, and Michael Winkler. “A Critical Virus Production Rate for Blow-up Suppression in a Haptotaxis Model for Oncolytic Virotherapy.” Nonlinear Analysis, vol. 198, 111870, 2020. short: Y. Tao, M. Winkler, Nonlinear Analysis 198 (2020). date_created: 2023-01-18T12:20:31Z date_updated: 2023-01-20T13:14:24Z department: - _id: '34' - _id: '10' - _id: '90' intvolume: ' 198' language: - iso: eng publication: Nonlinear Analysis status: public title: A critical virus production rate for blow-up suppression in a haptotaxis model for oncolytic virotherapy. type: journal_article user_id: '15645' volume: 198 year: '2020' ... --- _id: '37349' author: - first_name: Christian full_name: Stinner, Christian last_name: Stinner - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler citation: ama: Stinner C, Winkler M. Refined regularity and stabilization properties in a degenerate haptotaxis system. Discrete and Continuous Dynamical Systems --A. 2020;40:4039-4058. apa: Stinner, C., & Winkler, M. (2020). Refined regularity and stabilization properties in a degenerate haptotaxis system. Discrete and Continuous Dynamical Systems --A, 40, 4039–4058. bibtex: '@article{Stinner_Winkler_2020, title={Refined regularity and stabilization properties in a degenerate haptotaxis system}, volume={40}, journal={Discrete and Continuous Dynamical Systems --A}, author={Stinner, Christian and Winkler, Michael}, year={2020}, pages={4039–4058} }' chicago: 'Stinner, Christian, and Michael Winkler. “Refined Regularity and Stabilization Properties in a Degenerate Haptotaxis System.” Discrete and Continuous Dynamical Systems --A 40 (2020): 4039–58.' ieee: C. Stinner and M. Winkler, “Refined regularity and stabilization properties in a degenerate haptotaxis system,” Discrete and Continuous Dynamical Systems --A, vol. 40, pp. 4039–4058, 2020. mla: Stinner, Christian, and Michael Winkler. “Refined Regularity and Stabilization Properties in a Degenerate Haptotaxis System.” Discrete and Continuous Dynamical Systems --A, vol. 40, 2020, pp. 4039–58. short: C. Stinner, M. Winkler, Discrete and Continuous Dynamical Systems --A 40 (2020) 4039–4058. date_created: 2023-01-18T12:17:21Z date_updated: 2023-01-20T13:14:30Z department: - _id: '34' - _id: '10' - _id: '90' intvolume: ' 40' language: - iso: eng page: 4039-4058 publication: Discrete and Continuous Dynamical Systems --A status: public title: Refined regularity and stabilization properties in a degenerate haptotaxis system type: journal_article user_id: '15645' volume: 40 year: '2020' ... --- _id: '35820' author: - first_name: Rolf full_name: Biehler, Rolf id: '16274' last_name: Biehler - first_name: Michael full_name: Liebendörfer, Michael id: '30933' last_name: Liebendörfer orcid: 0000-0001-9887-2074 - first_name: Angela full_name: Schmitz, Angela last_name: Schmitz - first_name: Yael full_name: Fleischmann, Yael last_name: Fleischmann - first_name: Sandra full_name: Krämer, Sandra last_name: Krämer - first_name: Laura full_name: Ostsieker, Laura last_name: Ostsieker - first_name: Sarah full_name: Schlüter, Sarah last_name: Schlüter citation: ama: 'Biehler R, Liebendörfer M, Schmitz A, et al. studiVEMINTvideos – Mathematische Lernvideos zur Studienvorbereitung und Unterstützung im ersten Studienjahr. In: Siller H-S, Weigel W, Wörler JF, eds. Beiträge zum Mathematikunterricht 2020. WTM; 2020. doi:10.17877/DE290R-21234' apa: Biehler, R., Liebendörfer, M., Schmitz, A., Fleischmann, Y., Krämer, S., Ostsieker, L., & Schlüter, S. (2020). studiVEMINTvideos – Mathematische Lernvideos zur Studienvorbereitung und Unterstützung im ersten Studienjahr. In H.-S. Siller, W. Weigel, & J. F. Wörler (Eds.), Beiträge zum Mathematikunterricht 2020. WTM. https://doi.org/10.17877/DE290R-21234 bibtex: '@inbook{Biehler_Liebendörfer_Schmitz_Fleischmann_Krämer_Ostsieker_Schlüter_2020, place={Münster}, title={studiVEMINTvideos – Mathematische Lernvideos zur Studienvorbereitung und Unterstützung im ersten Studienjahr}, DOI={10.17877/DE290R-21234}, booktitle={Beiträge zum Mathematikunterricht 2020}, publisher={WTM}, author={Biehler, Rolf and Liebendörfer, Michael and Schmitz, Angela and Fleischmann, Yael and Krämer, Sandra and Ostsieker, Laura and Schlüter, Sarah}, editor={Siller, H.-S. and Weigel, W. and Wörler, J. F.}, year={2020} }' chicago: 'Biehler, Rolf, Michael Liebendörfer, Angela Schmitz, Yael Fleischmann, Sandra Krämer, Laura Ostsieker, and Sarah Schlüter. “studiVEMINTvideos – Mathematische Lernvideos zur Studienvorbereitung und Unterstützung im ersten Studienjahr.” In Beiträge zum Mathematikunterricht 2020, edited by H.-S. Siller, W. Weigel, and J. F. Wörler. Münster: WTM, 2020. https://doi.org/10.17877/DE290R-21234.' ieee: 'R. Biehler et al., “studiVEMINTvideos – Mathematische Lernvideos zur Studienvorbereitung und Unterstützung im ersten Studienjahr,” in Beiträge zum Mathematikunterricht 2020, H.-S. Siller, W. Weigel, and J. F. Wörler, Eds. Münster: WTM, 2020.' mla: Biehler, Rolf, et al. “studiVEMINTvideos – Mathematische Lernvideos zur Studienvorbereitung und Unterstützung im ersten Studienjahr.” Beiträge zum Mathematikunterricht 2020, edited by H.-S. Siller et al., WTM, 2020, doi:10.17877/DE290R-21234. short: 'R. Biehler, M. Liebendörfer, A. Schmitz, Y. Fleischmann, S. Krämer, L. Ostsieker, S. Schlüter, in: H.-S. Siller, W. Weigel, J.F. Wörler (Eds.), Beiträge zum Mathematikunterricht 2020, WTM, Münster, 2020.' date_created: 2023-01-10T11:35:02Z date_updated: 2023-01-24T08:57:22Z department: - _id: '34' - _id: '10' - _id: '97' - _id: '363' doi: 10.17877/DE290R-21234 editor: - first_name: H.-S. full_name: Siller, H.-S. last_name: Siller - first_name: W. full_name: Weigel, W. last_name: Weigel - first_name: J. F. full_name: Wörler, J. F. last_name: Wörler language: - iso: ger place: Münster publication: Beiträge zum Mathematikunterricht 2020 publisher: WTM status: public title: studiVEMINTvideos – Mathematische Lernvideos zur Studienvorbereitung und Unterstützung im ersten Studienjahr type: book_chapter user_id: '30933' year: '2020' ... --- _id: '37660' article_number: '108506' author: - first_name: Margit full_name: Rösler, Margit id: '37390' last_name: Rösler citation: ama: Rösler M. Riesz distributions and Laplace transform in the Dunkl setting of type A. Journal of Functional Analysis. 2020;278(12). doi:10.1016/j.jfa.2020.108506 apa: Rösler, M. (2020). Riesz distributions and Laplace transform in the Dunkl setting of type A. Journal of Functional Analysis, 278(12), Article 108506. https://doi.org/10.1016/j.jfa.2020.108506 bibtex: '@article{Rösler_2020, title={Riesz distributions and Laplace transform in the Dunkl setting of type A}, volume={278}, DOI={10.1016/j.jfa.2020.108506}, number={12108506}, journal={Journal of Functional Analysis}, publisher={Elsevier BV}, author={Rösler, Margit}, year={2020} }' chicago: Rösler, Margit. “Riesz Distributions and Laplace Transform in the Dunkl Setting of Type A.” Journal of Functional Analysis 278, no. 12 (2020). https://doi.org/10.1016/j.jfa.2020.108506. ieee: 'M. Rösler, “Riesz distributions and Laplace transform in the Dunkl setting of type A,” Journal of Functional Analysis, vol. 278, no. 12, Art. no. 108506, 2020, doi: 10.1016/j.jfa.2020.108506.' mla: Rösler, Margit. “Riesz Distributions and Laplace Transform in the Dunkl Setting of Type A.” Journal of Functional Analysis, vol. 278, no. 12, 108506, Elsevier BV, 2020, doi:10.1016/j.jfa.2020.108506. short: M. Rösler, Journal of Functional Analysis 278 (2020). date_created: 2023-01-20T09:22:53Z date_updated: 2023-01-24T22:16:07Z department: - _id: '555' doi: 10.1016/j.jfa.2020.108506 intvolume: ' 278' issue: '12' keyword: - Analysis language: - iso: eng publication: Journal of Functional Analysis publication_identifier: issn: - 0022-1236 publication_status: published publisher: Elsevier BV status: public title: Riesz distributions and Laplace transform in the Dunkl setting of type A type: journal_article user_id: '93826' volume: 278 year: '2020' ... --- _id: '40051' author: - first_name: Tomasz full_name: Luks, Tomasz id: '58312' last_name: Luks - first_name: Yimin full_name: Xiao, Yimin last_name: Xiao citation: ama: Luks T, Xiao Y. Multiple Points of Operator Semistable Lévy Processes. Journal of Theoretical Probability. 2020;33(1):153-179. doi:10.1007/s10959-018-0859-4 apa: Luks, T., & Xiao, Y. (2020). Multiple Points of Operator Semistable Lévy Processes. Journal of Theoretical Probability, 33(1), 153–179. https://doi.org/10.1007/s10959-018-0859-4 bibtex: '@article{Luks_Xiao_2020, title={Multiple Points of Operator Semistable Lévy Processes}, volume={33}, DOI={10.1007/s10959-018-0859-4}, number={1}, journal={Journal of Theoretical Probability}, publisher={Springer Science and Business Media LLC}, author={Luks, Tomasz and Xiao, Yimin}, year={2020}, pages={153–179} }' chicago: 'Luks, Tomasz, and Yimin Xiao. “Multiple Points of Operator Semistable Lévy Processes.” Journal of Theoretical Probability 33, no. 1 (2020): 153–79. https://doi.org/10.1007/s10959-018-0859-4.' ieee: 'T. Luks and Y. Xiao, “Multiple Points of Operator Semistable Lévy Processes,” Journal of Theoretical Probability, vol. 33, no. 1, pp. 153–179, 2020, doi: 10.1007/s10959-018-0859-4.' mla: Luks, Tomasz, and Yimin Xiao. “Multiple Points of Operator Semistable Lévy Processes.” Journal of Theoretical Probability, vol. 33, no. 1, Springer Science and Business Media LLC, 2020, pp. 153–79, doi:10.1007/s10959-018-0859-4. short: T. Luks, Y. Xiao, Journal of Theoretical Probability 33 (2020) 153–179. date_created: 2023-01-25T15:12:16Z date_updated: 2023-01-26T17:19:17Z department: - _id: '555' doi: 10.1007/s10959-018-0859-4 intvolume: ' 33' issue: '1' language: - iso: eng page: 153-179 publication: Journal of Theoretical Probability publication_identifier: issn: - 0894-9840 - 1572-9230 publication_status: published publisher: Springer Science and Business Media LLC status: public title: Multiple Points of Operator Semistable Lévy Processes type: journal_article user_id: '58312' volume: 33 year: '2020' ... --- _id: '37339' author: - first_name: Evi full_name: Steiner, Evi last_name: Steiner - first_name: Michael full_name: Winkler, Michael id: '31496' last_name: Winkler citation: ama: Steiner E, Winkler M. Mathematical Analysis of Two Competing Cancer Cell Migration Mechanisms Driven by Interstitial Fluid Flow. Journal of Nonlinear Science. 2020;30:1809-1847. apa: Steiner, E., & Winkler, M. (2020). Mathematical Analysis of Two Competing Cancer Cell Migration Mechanisms Driven by Interstitial Fluid Flow. Journal of Nonlinear Science, 30, 1809–1847. bibtex: '@article{Steiner_Winkler_2020, title={Mathematical Analysis of Two Competing Cancer Cell Migration Mechanisms Driven by Interstitial Fluid Flow}, volume={30}, journal={Journal of Nonlinear Science}, author={Steiner, Evi and Winkler, Michael}, year={2020}, pages={1809–1847} }' chicago: 'Steiner, Evi, and Michael Winkler. “Mathematical Analysis of Two Competing Cancer Cell Migration Mechanisms Driven by Interstitial Fluid Flow.” Journal of Nonlinear Science 30 (2020): 1809–47.' ieee: E. Steiner and M. Winkler, “Mathematical Analysis of Two Competing Cancer Cell Migration Mechanisms Driven by Interstitial Fluid Flow,” Journal of Nonlinear Science, vol. 30, pp. 1809–1847, 2020. mla: Steiner, Evi, and Michael Winkler. “Mathematical Analysis of Two Competing Cancer Cell Migration Mechanisms Driven by Interstitial Fluid Flow.” Journal of Nonlinear Science, vol. 30, 2020, pp. 1809–47. short: E. Steiner, M. Winkler, Journal of Nonlinear Science 30 (2020) 1809–1847. date_created: 2023-01-18T11:57:20Z date_updated: 2023-01-30T15:43:49Z department: - _id: '34' - _id: '10' - _id: '90' intvolume: ' 30' language: - iso: eng page: 1809-1847 publication: Journal of Nonlinear Science status: public title: Mathematical Analysis of Two Competing Cancer Cell Migration Mechanisms Driven by Interstitial Fluid Flow type: journal_article user_id: '14931' volume: 30 year: '2020' ... --- _id: '34842' abstract: - lang: eng text: Let D<0 be a fundamental discriminant and denote by E(D) the exponent of the ideal class group Cl(D) of K=ℚ(√D). Under the assumption that no Siegel zeros exist we compute all such D with E(D) dividing 8. We compute all D with |D| ≤ 3.1⋅10²⁰ such that E(D) ≤ 8. author: - first_name: Andreas-Stephan full_name: Elsenhans, Andreas-Stephan last_name: Elsenhans - first_name: Jürgen full_name: Klüners, Jürgen id: '21202' last_name: Klüners - first_name: Florin full_name: Nicolae, Florin last_name: Nicolae citation: ama: Elsenhans A-S, Klüners J, Nicolae F. Imaginary quadratic number fields with class groups of small exponent. Acta Arithmetica. 2020;193(3):217-233. doi:10.4064/aa180220-20-3 apa: Elsenhans, A.-S., Klüners, J., & Nicolae, F. (2020). Imaginary quadratic number fields with class groups of small exponent. Acta Arithmetica, 193(3), 217–233. https://doi.org/10.4064/aa180220-20-3 bibtex: '@article{Elsenhans_Klüners_Nicolae_2020, title={Imaginary quadratic number fields with class groups of small exponent}, volume={193}, DOI={10.4064/aa180220-20-3}, number={3}, journal={Acta Arithmetica}, publisher={Institute of Mathematics, Polish Academy of Sciences}, author={Elsenhans, Andreas-Stephan and Klüners, Jürgen and Nicolae, Florin}, year={2020}, pages={217–233} }' chicago: 'Elsenhans, Andreas-Stephan, Jürgen Klüners, and Florin Nicolae. “Imaginary Quadratic Number Fields with Class Groups of Small Exponent.” Acta Arithmetica 193, no. 3 (2020): 217–33. https://doi.org/10.4064/aa180220-20-3.' ieee: 'A.-S. Elsenhans, J. Klüners, and F. Nicolae, “Imaginary quadratic number fields with class groups of small exponent,” Acta Arithmetica, vol. 193, no. 3, pp. 217–233, 2020, doi: 10.4064/aa180220-20-3.' mla: Elsenhans, Andreas-Stephan, et al. “Imaginary Quadratic Number Fields with Class Groups of Small Exponent.” Acta Arithmetica, vol. 193, no. 3, Institute of Mathematics, Polish Academy of Sciences, 2020, pp. 217–33, doi:10.4064/aa180220-20-3. short: A.-S. Elsenhans, J. Klüners, F. Nicolae, Acta Arithmetica 193 (2020) 217–233. date_created: 2022-12-22T10:51:13Z date_updated: 2023-03-06T10:19:53Z department: - _id: '102' doi: 10.4064/aa180220-20-3 external_id: arxiv: - '1803.02056 ' intvolume: ' 193' issue: '3' keyword: - Algebra and Number Theory language: - iso: eng page: 217-233 publication: Acta Arithmetica publication_identifier: issn: - 0065-1036 - 1730-6264 publication_status: published publisher: Institute of Mathematics, Polish Academy of Sciences status: public title: Imaginary quadratic number fields with class groups of small exponent type: journal_article user_id: '93826' volume: 193 year: '2020' ... --- _id: '34841' abstract: - lang: eng text: "We give an exact formula for the number of G-extensions of local function fields Fq((t)) for finite abelian groups G up to a conductor bound. As an application we give a lower bound for the corresponding counting problem by discriminant.\r\n" author: - first_name: Jürgen full_name: Klüners, Jürgen id: '21202' last_name: Klüners - first_name: Raphael full_name: Müller, Raphael last_name: Müller citation: ama: Klüners J, Müller R. The conductor density of local function fields with abelian Galois group. Journal of Number Theory. 2020;212:311-322. doi:10.1016/j.jnt.2019.11.007 apa: Klüners, J., & Müller, R. (2020). The conductor density of local function fields with abelian Galois group. Journal of Number Theory, 212, 311–322. https://doi.org/10.1016/j.jnt.2019.11.007 bibtex: '@article{Klüners_Müller_2020, title={The conductor density of local function fields with abelian Galois group}, volume={212}, DOI={10.1016/j.jnt.2019.11.007}, journal={Journal of Number Theory}, publisher={Elsevier BV}, author={Klüners, Jürgen and Müller, Raphael}, year={2020}, pages={311–322} }' chicago: 'Klüners, Jürgen, and Raphael Müller. “The Conductor Density of Local Function Fields with Abelian Galois Group.” Journal of Number Theory 212 (2020): 311–22. https://doi.org/10.1016/j.jnt.2019.11.007.' ieee: 'J. Klüners and R. Müller, “The conductor density of local function fields with abelian Galois group,” Journal of Number Theory, vol. 212, pp. 311–322, 2020, doi: 10.1016/j.jnt.2019.11.007.' mla: Klüners, Jürgen, and Raphael Müller. “The Conductor Density of Local Function Fields with Abelian Galois Group.” Journal of Number Theory, vol. 212, Elsevier BV, 2020, pp. 311–22, doi:10.1016/j.jnt.2019.11.007. short: J. Klüners, R. Müller, Journal of Number Theory 212 (2020) 311–322. date_created: 2022-12-22T10:50:03Z date_updated: 2023-03-06T10:23:09Z department: - _id: '102' doi: 10.1016/j.jnt.2019.11.007 external_id: arxiv: - '1904.02573 ' intvolume: ' 212' keyword: - Algebra and Number Theory language: - iso: eng page: 311-322 publication: Journal of Number Theory publication_identifier: issn: - 0022-314X publication_status: published publisher: Elsevier BV status: public title: The conductor density of local function fields with abelian Galois group type: journal_article user_id: '93826' volume: 212 year: '2020' ... --- _id: '44331' abstract: - lang: eng text: In this paper, we study properties of the algebras of planar quasi-invariants. These algebras are Cohen–Macaulay and Gorenstein in codimension one. Using the technique of matrix problems, we classify all Cohen–Macaulay modules of rank one over them and determine their Picard groups. In terms of this classification, we describe the spectral modules of the planar rational Calogero–Moser systems. Finally, we elaborate the theory of the algebraic inverse scattering method, providing explicit computations of some ‘isospectral deformations’ of the planar rational Calogero–Moser system in the case of the split rational potential. author: - first_name: Igor full_name: Burban, Igor id: '72064' last_name: Burban - first_name: A. full_name: Zheglov, A. last_name: Zheglov citation: ama: Burban I, Zheglov A. Cohen-Macaulay modules over the algebra of planar quasi-invariants and Calogero-Moser systems. Proceedings of the London Mathematical Society. 2020;121(4):1033–1082. doi:10.1112/plms.12341 apa: Burban, I., & Zheglov, A. (2020). Cohen-Macaulay modules over the algebra of planar quasi-invariants and Calogero-Moser systems. Proceedings of the London Mathematical Society, 121(4), 1033–1082. https://doi.org/10.1112/plms.12341 bibtex: '@article{Burban_Zheglov_2020, title={Cohen-Macaulay modules over the algebra of planar quasi-invariants and Calogero-Moser systems}, volume={121}, DOI={10.1112/plms.12341}, number={4}, journal={Proceedings of the London Mathematical Society}, author={Burban, Igor and Zheglov, A.}, year={2020}, pages={1033–1082} }' chicago: 'Burban, Igor, and A. Zheglov. “Cohen-Macaulay Modules over the Algebra of Planar Quasi-Invariants and Calogero-Moser Systems.” Proceedings of the London Mathematical Society 121, no. 4 (2020): 1033–1082. https://doi.org/10.1112/plms.12341.' ieee: 'I. Burban and A. Zheglov, “Cohen-Macaulay modules over the algebra of planar quasi-invariants and Calogero-Moser systems,” Proceedings of the London Mathematical Society, vol. 121, no. 4, pp. 1033–1082, 2020, doi: 10.1112/plms.12341.' mla: Burban, Igor, and A. Zheglov. “Cohen-Macaulay Modules over the Algebra of Planar Quasi-Invariants and Calogero-Moser Systems.” Proceedings of the London Mathematical Society, vol. 121, no. 4, 2020, pp. 1033–1082, doi:10.1112/plms.12341. short: I. Burban, A. Zheglov, Proceedings of the London Mathematical Society 121 (2020) 1033–1082. date_created: 2023-05-02T18:47:19Z date_updated: 2023-05-07T01:30:54Z department: - _id: '602' doi: 10.1112/plms.12341 intvolume: ' 121' issue: '4' language: - iso: eng page: 1033–1082 publication: Proceedings of the London Mathematical Society publication_status: published status: public title: Cohen-Macaulay modules over the algebra of planar quasi-invariants and Calogero-Moser systems type: journal_article user_id: '49063' volume: 121 year: '2020' ... --- _id: '45385' author: - first_name: Jennifer full_name: Dröse, Jennifer id: '85820' last_name: Dröse - first_name: Susanne full_name: Prediger, Susanne last_name: Prediger citation: ama: 'Dröse J, Prediger S. Lesen lernen von Aufgabentexten. In: Prediger S, ed. Sprachbildender Mathematikunterricht in der Sekundarstufe - ein forschungsbasiertes Praxisbuch . Cornelsen; 2020:86-94.' apa: Dröse, J., & Prediger, S. (2020). Lesen lernen von Aufgabentexten. In S. Prediger (Ed.), Sprachbildender Mathematikunterricht in der Sekundarstufe - ein forschungsbasiertes Praxisbuch (pp. 86–94). Cornelsen. bibtex: '@inbook{Dröse_Prediger_2020, place={Berlin}, title={Lesen lernen von Aufgabentexten}, booktitle={Sprachbildender Mathematikunterricht in der Sekundarstufe - ein forschungsbasiertes Praxisbuch }, publisher={Cornelsen}, author={Dröse, Jennifer and Prediger, Susanne}, editor={Prediger, Susanne}, year={2020}, pages={86–94} }' chicago: 'Dröse, Jennifer, and Susanne Prediger. “Lesen lernen von Aufgabentexten.” In Sprachbildender Mathematikunterricht in der Sekundarstufe - ein forschungsbasiertes Praxisbuch , edited by Susanne Prediger, 86–94. Berlin: Cornelsen, 2020.' ieee: 'J. Dröse and S. Prediger, “Lesen lernen von Aufgabentexten,” in Sprachbildender Mathematikunterricht in der Sekundarstufe - ein forschungsbasiertes Praxisbuch , S. Prediger, Ed. Berlin: Cornelsen, 2020, pp. 86–94.' mla: Dröse, Jennifer, and Susanne Prediger. “Lesen lernen von Aufgabentexten.” Sprachbildender Mathematikunterricht in der Sekundarstufe - ein forschungsbasiertes Praxisbuch , edited by Susanne Prediger, Cornelsen, 2020, pp. 86–94. short: 'J. Dröse, S. Prediger, in: S. Prediger (Ed.), Sprachbildender Mathematikunterricht in der Sekundarstufe - ein forschungsbasiertes Praxisbuch , Cornelsen, Berlin, 2020, pp. 86–94.' date_created: 2023-05-31T07:20:50Z date_updated: 2023-05-31T07:21:01Z department: - _id: '98' editor: - first_name: Susanne full_name: Prediger, Susanne last_name: Prediger language: - iso: ger page: 86-94 place: Berlin publication: 'Sprachbildender Mathematikunterricht in der Sekundarstufe - ein forschungsbasiertes Praxisbuch ' publisher: Cornelsen status: public title: Lesen lernen von Aufgabentexten type: book_chapter user_id: '21240' year: '2020' ... --- _id: '45688' author: - first_name: Julia full_name: Bruns, Julia id: '72183' last_name: Bruns orcid: https://orcid.org/0000-0002-6604-5864 - first_name: A. full_name: Vogtländer, A. last_name: Vogtländer citation: ama: 'Bruns J, Vogtländer A. Frühe alltagsintegrierte mathematische Bildung. Eine Einleitung. In: Born-Rauchecker E, Vogtländer A, Weber K, eds. Frühe alltagsintegrierte mathematische Bildung. Handreichung für Lehrende. Kallmeyer; 2020:37-46.' apa: Bruns, J., & Vogtländer, A. (2020). Frühe alltagsintegrierte mathematische Bildung. Eine Einleitung. In E. Born-Rauchecker, A. Vogtländer, & K. Weber (Eds.), Frühe alltagsintegrierte mathematische Bildung. Handreichung für Lehrende (pp. 37–46). Kallmeyer. bibtex: '@inbook{Bruns_Vogtländer_2020, place={Hannover}, title={Frühe alltagsintegrierte mathematische Bildung. Eine Einleitung}, booktitle={Frühe alltagsintegrierte mathematische Bildung. Handreichung für Lehrende}, publisher={Kallmeyer}, author={Bruns, Julia and Vogtländer, A.}, editor={Born-Rauchecker, E. and Vogtländer, A. and Weber, K.}, year={2020}, pages={37–46} }' chicago: 'Bruns, Julia, and A. Vogtländer. “Frühe alltagsintegrierte mathematische Bildung. Eine Einleitung.” In Frühe alltagsintegrierte mathematische Bildung. Handreichung für Lehrende, edited by E. Born-Rauchecker, A. Vogtländer, and K. Weber, 37–46. Hannover: Kallmeyer, 2020.' ieee: 'J. Bruns and A. Vogtländer, “Frühe alltagsintegrierte mathematische Bildung. Eine Einleitung,” in Frühe alltagsintegrierte mathematische Bildung. Handreichung für Lehrende, E. Born-Rauchecker, A. Vogtländer, and K. Weber, Eds. Hannover: Kallmeyer, 2020, pp. 37–46.' mla: Bruns, Julia, and A. Vogtländer. “Frühe alltagsintegrierte mathematische Bildung. Eine Einleitung.” Frühe alltagsintegrierte mathematische Bildung. Handreichung für Lehrende, edited by E. Born-Rauchecker et al., Kallmeyer, 2020, pp. 37–46. short: 'J. Bruns, A. Vogtländer, in: E. Born-Rauchecker, A. Vogtländer, K. Weber (Eds.), Frühe alltagsintegrierte mathematische Bildung. Handreichung für Lehrende, Kallmeyer, Hannover, 2020, pp. 37–46.' date_created: 2023-06-20T18:48:54Z date_updated: 2023-06-20T18:48:58Z department: - _id: '97' - _id: '611' editor: - first_name: E. full_name: Born-Rauchecker, E. last_name: Born-Rauchecker - first_name: A. full_name: Vogtländer, A. last_name: Vogtländer - first_name: K. full_name: Weber, K. last_name: Weber language: - iso: ger page: 37-46 place: Hannover publication: Frühe alltagsintegrierte mathematische Bildung. Handreichung für Lehrende publication_status: published publisher: Kallmeyer status: public title: Frühe alltagsintegrierte mathematische Bildung. Eine Einleitung type: book_chapter user_id: '49063' year: '2020' ... --- _id: '34816' abstract: - lang: eng text: ZusammenfassungFrühe mathematische Bildung findet in der Kindertagesstätte insbesondere in spontanen Alltagssituationen statt. Damit diese Alltagssituationen zu natürlichen Lernsituationen für die Kinder werden, müssen (angehende) frühpädagogische Fachkräfte zunächst das mathematische Potenzial in diesen Situationen erkennen. Diese Fähigkeit zur situativen Beobachtung und Wahrnehmung ist bisher unzureichend erforscht, was unter anderem auf begrenzte Methoden zur standardisierten Erfassung dieses Konstrukts zurückzuführen ist. Um diesem Bedarf zu begegnen, wurde das videobasierte Testinstrument Vimas_num zur Erfassung der Fähigkeit zur situativen Beobachtung und Wahrnehmung angehender frühpädagogischer Fachpersonen im Bereich Mengen und Zahlen entwickelt. Auf der Grundlage von drei aufeinander aufbauenden Studien wird die Validität verschiedener Aspekte der Testwertinterpretation untersucht. Die Ergebnisse geben Hinweise auf die Validität der Testwertinterpretation in Bezug auf den Testinhalt, die interne Struktur des Tests und die Zusammenhänge mit theoretisch verbundenen Konstrukten. author: - first_name: Julia full_name: Bruns, Julia id: '72183' last_name: Bruns orcid: https://orcid.org/0000-0002-6604-5864 - first_name: Carolin full_name: Strahl, Carolin last_name: Strahl - first_name: Hedwig full_name: Gasteiger, Hedwig last_name: Gasteiger citation: ama: Bruns J, Strahl C, Gasteiger H. Situative Beobachtung und Wahrnehmung angehender frühpädagogischer Fachpersonen im Bereich Mathematik – Entwicklung und Validierung eines Testinstruments. Unterrichtswissenschaft. 2020;49(3):345-371. doi:10.1007/s42010-020-00091-7 apa: Bruns, J., Strahl, C., & Gasteiger, H. (2020). Situative Beobachtung und Wahrnehmung angehender frühpädagogischer Fachpersonen im Bereich Mathematik – Entwicklung und Validierung eines Testinstruments. Unterrichtswissenschaft, 49(3), 345–371. https://doi.org/10.1007/s42010-020-00091-7 bibtex: '@article{Bruns_Strahl_Gasteiger_2020, title={Situative Beobachtung und Wahrnehmung angehender frühpädagogischer Fachpersonen im Bereich Mathematik – Entwicklung und Validierung eines Testinstruments}, volume={49}, DOI={10.1007/s42010-020-00091-7}, number={3}, journal={Unterrichtswissenschaft}, publisher={Springer Science and Business Media LLC}, author={Bruns, Julia and Strahl, Carolin and Gasteiger, Hedwig}, year={2020}, pages={345–371} }' chicago: 'Bruns, Julia, Carolin Strahl, and Hedwig Gasteiger. “Situative Beobachtung und Wahrnehmung angehender frühpädagogischer Fachpersonen im Bereich Mathematik – Entwicklung und Validierung eines Testinstruments.” Unterrichtswissenschaft 49, no. 3 (2020): 345–71. https://doi.org/10.1007/s42010-020-00091-7.' ieee: 'J. Bruns, C. Strahl, and H. Gasteiger, “Situative Beobachtung und Wahrnehmung angehender frühpädagogischer Fachpersonen im Bereich Mathematik – Entwicklung und Validierung eines Testinstruments,” Unterrichtswissenschaft, vol. 49, no. 3, pp. 345–371, 2020, doi: 10.1007/s42010-020-00091-7.' mla: Bruns, Julia, et al. “Situative Beobachtung und Wahrnehmung angehender frühpädagogischer Fachpersonen im Bereich Mathematik – Entwicklung und Validierung eines Testinstruments.” Unterrichtswissenschaft, vol. 49, no. 3, Springer Science and Business Media LLC, 2020, pp. 345–71, doi:10.1007/s42010-020-00091-7. short: J. Bruns, C. Strahl, H. Gasteiger, Unterrichtswissenschaft 49 (2020) 345–371. date_created: 2022-12-22T09:18:04Z date_updated: 2023-06-20T19:04:46Z department: - _id: '611' - _id: '97' doi: 10.1007/s42010-020-00091-7 intvolume: ' 49' issue: '3' keyword: - Education language: - iso: ger page: 345-371 publication: Unterrichtswissenschaft publication_identifier: issn: - 0340-4099 - 2520-873X publication_status: published publisher: Springer Science and Business Media LLC quality_controlled: '1' status: public title: Situative Beobachtung und Wahrnehmung angehender frühpädagogischer Fachpersonen im Bereich Mathematik – Entwicklung und Validierung eines Testinstruments type: journal_article user_id: '49063' volume: 49 year: '2020' ... --- _id: '36546' author: - first_name: Lena full_name: Meyer, Lena last_name: Meyer - first_name: Laura full_name: Tabeling, Laura last_name: Tabeling - first_name: Hedwig full_name: Gasteiger, Hedwig last_name: Gasteiger - first_name: Julia full_name: Bruns, Julia id: '72183' last_name: Bruns orcid: https://orcid.org/0000-0002-6604-5864 citation: ama: 'Meyer L, Tabeling L, Gasteiger H, Bruns J. Interaktionen in mathematischen Spielsituationen in Kindertagesstätte und Familie. In: Siller H-S, Weigel W, Wörler J, eds. Beiträge zum Mathematikunterricht 2020. WTM-Verlag; 2020:1253-1256.' apa: Meyer, L., Tabeling, L., Gasteiger, H., & Bruns, J. (2020). Interaktionen in mathematischen Spielsituationen in Kindertagesstätte und Familie. In H.-S. Siller, W. Weigel, & J. Wörler (Eds.), Beiträge zum Mathematikunterricht 2020 (pp. 1253–1256). WTM-Verlag. bibtex: '@inproceedings{Meyer_Tabeling_Gasteiger_Bruns_2020, place={Münster}, title={Interaktionen in mathematischen Spielsituationen in Kindertagesstätte und Familie}, booktitle={Beiträge zum Mathematikunterricht 2020}, publisher={WTM-Verlag}, author={Meyer, Lena and Tabeling, Laura and Gasteiger, Hedwig and Bruns, Julia}, editor={Siller, Hans-Stefan and Weigel, Wolfgang and Wörler, Jan}, year={2020}, pages={1253–1256} }' chicago: 'Meyer, Lena, Laura Tabeling, Hedwig Gasteiger, and Julia Bruns. “Interaktionen in mathematischen Spielsituationen in Kindertagesstätte und Familie.” In Beiträge zum Mathematikunterricht 2020, edited by Hans-Stefan Siller, Wolfgang Weigel, and Jan Wörler, 1253–56. Münster: WTM-Verlag, 2020.' ieee: L. Meyer, L. Tabeling, H. Gasteiger, and J. Bruns, “Interaktionen in mathematischen Spielsituationen in Kindertagesstätte und Familie,” in Beiträge zum Mathematikunterricht 2020, Würzburg, 2020, pp. 1253–1256. mla: Meyer, Lena, et al. “Interaktionen in mathematischen Spielsituationen in Kindertagesstätte und Familie.” Beiträge zum Mathematikunterricht 2020, edited by Hans-Stefan Siller et al., WTM-Verlag, 2020, pp. 1253–56. short: 'L. Meyer, L. Tabeling, H. Gasteiger, J. Bruns, in: H.-S. Siller, W. Weigel, J. Wörler (Eds.), Beiträge zum Mathematikunterricht 2020, WTM-Verlag, Münster, 2020, pp. 1253–1256.' conference: location: Würzburg name: 54. Jahrestagung der Gesellschaft für Didaktik der Mathematik date_created: 2023-01-13T09:26:42Z date_updated: 2023-06-20T19:06:16Z department: - _id: '611' - _id: '97' editor: - first_name: Hans-Stefan full_name: Siller, Hans-Stefan last_name: Siller - first_name: Wolfgang full_name: Weigel, Wolfgang last_name: Weigel - first_name: Jan full_name: Wörler, Jan last_name: Wörler language: - iso: ger main_file_link: - open_access: '1' oa: '1' page: 1253-1256 place: Münster publication: Beiträge zum Mathematikunterricht 2020 publication_status: published publisher: WTM-Verlag related_material: link: - relation: confirmation url: https://eldorado.tu-dortmund.de/bitstream/2003/39567/1/BzMu2020_MEYER-id135.pdf status: public title: Interaktionen in mathematischen Spielsituationen in Kindertagesstätte und Familie type: conference user_id: '49063' year: '2020' ... --- _id: '21529' abstract: - lang: eng text: 'ZusammenfassungDie Implementation früher mathematischer Bildung in Kindertagesstätten kann durch fachdidaktische Fortbildungen für frühpädagogische Fachkräfte unterstützt werden. Um Fachkräfte in der Breite zu erreichen, erscheint ein scaling up Ansatz geeignet, bei dem aufbauend auf das Fortbildungskonzept EmMa – Erzieherinnen und Erzieher machen Mathematik Multiplikatorinnen und Multiplikatoren qualifiziert werden. Dabei ergibt sich die Herausforderung, dass Fortbildende im Elementarbereich kaum mathematisches und mathematikdidaktisches Wissen mitbringen. Der Kontext dieser Studie ist der scaling up Prozess der Fortbildung EmMa unter diesen Umständen. Das Erkenntnisinteresse liegt in der Beschreibung und Bewertung der Adaptionshandlungen der Multiplikatorinnen und Multiplikatoren. Für die Bewertung der Adaptionen werden zwei Kriterien herangezogen: (1) das Kriterium der Präzision, das die Vollständigkeit und Klarheit der Inhalte umfasst und (2) das Kriterium der fachlichen Korrektheit, das durch das Ausbleiben fachbezogener Fehler beschrieben wird. Analysiert werden dabei die theoretischen, fachbezogenen Phasen der von Multiplikatorinnen und Multiplikatoren durchgeführten Fortbildung zur frühen mathematischen Bildung, da davon ausgegangen wird, dass insbesondere diese theoretischen Inhalte für diese Gruppe von Multiplikatorinnen und Multiplikatoren eine Herausforderung darstellen. Zur Untersuchung wurde eine videogestützte, qualitative Feldstudie mit N = 8 Fällen durchgeführt. Mit Hilfe der qualitativen Inhaltsanalyse wurden die Adaptionshandlungen der Multiplikatorinnen und Multiplikatoren charakterisiert und hinsichtlich ihrer Präzision und der fachlichen Fehler in diesen Adaptionen analysiert. Dabei zeigte sich, dass der eigenständige Umgang mit den mathematischen und mathematikdidaktischen Inhalten des Fortbildungskonzepts EmMa trotz intensiver Unterstützung anspruchsvoll und bei vielen Multiplikatorinnen und Multiplikatoren mit fachbezogenen Fehlern verbunden ist. Implikationen dieser Ergebnisse für die weitere Forschung werden diskutiert.' author: - first_name: Julia full_name: Bruns, Julia id: '72183' last_name: Bruns orcid: https://orcid.org/0000-0002-6604-5864 - first_name: Theresa full_name: Schopferer, Theresa last_name: Schopferer - first_name: Hedwig full_name: Gasteiger, Hedwig last_name: Gasteiger citation: ama: Bruns J, Schopferer T, Gasteiger H. Adaptionshandlungen von Multiplikatorinnen und Multiplikatoren zur frühen mathematischen Bildung – Beschreibung und Bewertung aus fachbezogener Perspektive. Journal für Mathematik-Didaktik. 2020;42(1):243-271. doi:10.1007/s13138-020-00175-y apa: Bruns, J., Schopferer, T., & Gasteiger, H. (2020). Adaptionshandlungen von Multiplikatorinnen und Multiplikatoren zur frühen mathematischen Bildung – Beschreibung und Bewertung aus fachbezogener Perspektive. Journal für Mathematik-Didaktik, 42(1), 243–271. https://doi.org/10.1007/s13138-020-00175-y bibtex: '@article{Bruns_Schopferer_Gasteiger_2020, title={Adaptionshandlungen von Multiplikatorinnen und Multiplikatoren zur frühen mathematischen Bildung – Beschreibung und Bewertung aus fachbezogener Perspektive}, volume={42}, DOI={10.1007/s13138-020-00175-y}, number={1}, journal={Journal für Mathematik-Didaktik}, author={Bruns, Julia and Schopferer, Theresa and Gasteiger, Hedwig}, year={2020}, pages={243–271} }' chicago: 'Bruns, Julia, Theresa Schopferer, and Hedwig Gasteiger. “Adaptionshandlungen von Multiplikatorinnen und Multiplikatoren zur frühen mathematischen Bildung – Beschreibung und Bewertung aus fachbezogener Perspektive.” Journal für Mathematik-Didaktik 42, no. 1 (2020): 243–71. https://doi.org/10.1007/s13138-020-00175-y.' ieee: 'J. Bruns, T. Schopferer, and H. Gasteiger, “Adaptionshandlungen von Multiplikatorinnen und Multiplikatoren zur frühen mathematischen Bildung – Beschreibung und Bewertung aus fachbezogener Perspektive,” Journal für Mathematik-Didaktik, vol. 42, no. 1, pp. 243–271, 2020, doi: 10.1007/s13138-020-00175-y.' mla: Bruns, Julia, et al. “Adaptionshandlungen von Multiplikatorinnen und Multiplikatoren zur frühen mathematischen Bildung – Beschreibung und Bewertung aus fachbezogener Perspektive.” Journal für Mathematik-Didaktik, vol. 42, no. 1, 2020, pp. 243–71, doi:10.1007/s13138-020-00175-y. short: J. Bruns, T. Schopferer, H. Gasteiger, Journal für Mathematik-Didaktik 42 (2020) 243–271. date_created: 2021-03-17T15:19:29Z date_updated: 2023-06-20T19:12:42Z department: - _id: '97' - _id: '611' doi: 10.1007/s13138-020-00175-y intvolume: ' 42' issue: '1' language: - iso: ger page: 243-271 publication: Journal für Mathematik-Didaktik publication_identifier: issn: - 0173-5322 - 1869-2699 publication_status: published quality_controlled: '1' status: public title: Adaptionshandlungen von Multiplikatorinnen und Multiplikatoren zur frühen mathematischen Bildung – Beschreibung und Bewertung aus fachbezogener Perspektive type: journal_article user_id: '49063' volume: 42 year: '2020' ... --- _id: '21530' author: - first_name: Julia full_name: Bruns, Julia id: '72183' last_name: Bruns orcid: https://orcid.org/0000-0002-6604-5864 - first_name: Martin full_name: Carlsen, Martin last_name: Carlsen - first_name: Lars full_name: Eichen, Lars last_name: Eichen - first_name: Ingvald full_name: Erfjord, Ingvald last_name: Erfjord - first_name: Per Sigurd full_name: Hundeland, Per Sigurd last_name: Hundeland citation: ama: 'Bruns J, Carlsen M, Eichen L, Erfjord I, Hundeland PS. Situational Perception in Mathematics (SPiM)—Results of a Cross-Country Study in Austria and Norway. In: Mathematics Education in the Early Years. Springer; 2020:317–332. doi:10.1007/978-3-030-34776-5_19' apa: Bruns, J., Carlsen, M., Eichen, L., Erfjord, I., & Hundeland, P. S. (2020). Situational Perception in Mathematics (SPiM)—Results of a Cross-Country Study in Austria and Norway. In Mathematics Education in the Early Years (pp. 317–332). Springer. https://doi.org/10.1007/978-3-030-34776-5_19 bibtex: '@inbook{Bruns_Carlsen_Eichen_Erfjord_Hundeland_2020, place={Cham}, title={Situational Perception in Mathematics (SPiM)—Results of a Cross-Country Study in Austria and Norway}, DOI={10.1007/978-3-030-34776-5_19}, booktitle={Mathematics Education in the Early Years}, publisher={Springer}, author={Bruns, Julia and Carlsen, Martin and Eichen, Lars and Erfjord, Ingvald and Hundeland, Per Sigurd}, year={2020}, pages={317–332} }' chicago: 'Bruns, Julia, Martin Carlsen, Lars Eichen, Ingvald Erfjord, and Per Sigurd Hundeland. “Situational Perception in Mathematics (SPiM)—Results of a Cross-Country Study in Austria and Norway.” In Mathematics Education in the Early Years, 317–332. Cham: Springer, 2020. https://doi.org/10.1007/978-3-030-34776-5_19.' ieee: 'J. Bruns, M. Carlsen, L. Eichen, I. Erfjord, and P. S. Hundeland, “Situational Perception in Mathematics (SPiM)—Results of a Cross-Country Study in Austria and Norway,” in Mathematics Education in the Early Years, Cham: Springer, 2020, pp. 317–332.' mla: Bruns, Julia, et al. “Situational Perception in Mathematics (SPiM)—Results of a Cross-Country Study in Austria and Norway.” Mathematics Education in the Early Years, Springer, 2020, pp. 317–332, doi:10.1007/978-3-030-34776-5_19. short: 'J. Bruns, M. Carlsen, L. Eichen, I. Erfjord, P.S. Hundeland, in: Mathematics Education in the Early Years, Springer, Cham, 2020, pp. 317–332.' date_created: 2021-03-17T15:19:40Z date_updated: 2023-06-20T19:11:15Z department: - _id: '97' - _id: '611' doi: 10.1007/978-3-030-34776-5_19 language: - iso: eng page: 317–332 place: Cham publication: Mathematics Education in the Early Years publication_identifier: isbn: - '9783030347758' - '9783030347765' publication_status: published publisher: Springer quality_controlled: '1' status: public title: Situational Perception in Mathematics (SPiM)—Results of a Cross-Country Study in Austria and Norway type: book_chapter user_id: '49063' year: '2020' ... --- _id: '36539' author: - first_name: Julia full_name: Bruns, Julia last_name: Bruns citation: ama: 'Bruns J. Mathematisches Fachwissen von frühpädagogischen Fachpersonen im Spannungsfeld zwischen Disziplin- und Praxis. In: Siller H-S, Weigel W, Wörler J, eds. Beiträge zum Mathematikunterricht 2020. WTM-Verlag; 2020:1245-1248. doi:10.37626/GA9783959871402.0' apa: Bruns, J. (2020). Mathematisches Fachwissen von frühpädagogischen Fachpersonen im Spannungsfeld zwischen Disziplin- und Praxis. In H.-S. Siller, W. Weigel, & J. Wörler (Eds.), Beiträge zum Mathematikunterricht 2020 (pp. 1245–1248). WTM-Verlag. https://doi.org/10.37626/GA9783959871402.0 bibtex: '@inproceedings{Bruns_2020, place={Münster}, title={Mathematisches Fachwissen von frühpädagogischen Fachpersonen im Spannungsfeld zwischen Disziplin- und Praxis}, DOI={10.37626/GA9783959871402.0}, booktitle={Beiträge zum Mathematikunterricht 2020}, publisher={WTM-Verlag}, author={Bruns, Julia}, editor={Siller, Hans-Stefan and Weigel, Wolfgang and Wörler, Jan}, year={2020}, pages={1245–1248} }' chicago: 'Bruns, Julia. “Mathematisches Fachwissen von frühpädagogischen Fachpersonen im Spannungsfeld zwischen Disziplin- und Praxis.” In Beiträge zum Mathematikunterricht 2020, edited by Hans-Stefan Siller, Wolfgang Weigel, and Jan Wörler, 1245–48. Münster: WTM-Verlag, 2020. https://doi.org/10.37626/GA9783959871402.0.' ieee: 'J. Bruns, “Mathematisches Fachwissen von frühpädagogischen Fachpersonen im Spannungsfeld zwischen Disziplin- und Praxis,” in Beiträge zum Mathematikunterricht 2020, Würzburg, 2020, pp. 1245–1248, doi: 10.37626/GA9783959871402.0.' mla: Bruns, Julia. “Mathematisches Fachwissen von frühpädagogischen Fachpersonen im Spannungsfeld zwischen Disziplin- und Praxis.” Beiträge zum Mathematikunterricht 2020, edited by Hans-Stefan Siller et al., WTM-Verlag, 2020, pp. 1245–48, doi:10.37626/GA9783959871402.0. short: 'J. Bruns, in: H.-S. Siller, W. Weigel, J. Wörler (Eds.), Beiträge zum Mathematikunterricht 2020, WTM-Verlag, Münster, 2020, pp. 1245–1248.' conference: location: Würzburg name: 54. Jahrestagung der Gesellschaft für Didaktik der Mathematik date_created: 2023-01-13T09:13:46Z date_updated: 2023-06-20T19:14:31Z department: - _id: '611' doi: 10.37626/GA9783959871402.0 editor: - first_name: Hans-Stefan full_name: Siller, Hans-Stefan last_name: Siller - first_name: Wolfgang full_name: Weigel, Wolfgang last_name: Weigel - first_name: Jan full_name: Wörler, Jan last_name: Wörler language: - iso: ger main_file_link: - open_access: '1' url: https://eldorado.tu-dortmund.de/bitstream/2003/39363/1/BzMu2020_BRUNS-id189.pdf oa: '1' page: 1245-1248 place: Münster publication: Beiträge zum Mathematikunterricht 2020 publication_status: published publisher: WTM-Verlag status: public title: Mathematisches Fachwissen von frühpädagogischen Fachpersonen im Spannungsfeld zwischen Disziplin- und Praxis type: conference user_id: '49063' year: '2020' ... --- _id: '45330' author: - first_name: Johanna full_name: Schönherr, Johanna id: '99409' last_name: Schönherr - first_name: J. full_name: Blomberg, J. last_name: Blomberg - first_name: S. full_name: Schukajlow, S. last_name: Schukajlow - first_name: J. full_name: Rellensmann, J. last_name: Rellensmann citation: ama: 'Schönherr J, Blomberg J, Schukajlow S, Rellensmann J. “Why don’t you make a drawing?" Motivation and strategy use in mathematical modelling. In: Inprasitha M, Changsri N, Boonsena N, eds. Proceedings of the 44th Conference of the International Group for the Psychology of Mathematics Education: PME. ; 2020:46–54.' apa: 'Schönherr, J., Blomberg, J., Schukajlow, S., & Rellensmann, J. (2020). “Why don’t you make a drawing?" Motivation and strategy use in mathematical modelling. In M. Inprasitha, N. Changsri, & N. Boonsena (Eds.), Proceedings of the 44th Conference of the International Group for the Psychology of Mathematics Education: PME (pp. 46–54).' bibtex: '@inproceedings{Schönherr_Blomberg_Schukajlow_Rellensmann_2020, title={“Why don’t you make a drawing?" Motivation and strategy use in mathematical modelling}, booktitle={Proceedings of the 44th Conference of the International Group for the Psychology of Mathematics Education: PME}, author={Schönherr, Johanna and Blomberg, J. and Schukajlow, S. and Rellensmann, J.}, editor={Inprasitha, M. and Changsri, N. and Boonsena, N.}, year={2020}, pages={46–54} }' chicago: 'Schönherr, Johanna, J. Blomberg, S. Schukajlow, and J. Rellensmann. ““Why Don’t You Make a Drawing?" Motivation and Strategy Use in Mathematical Modelling.” In Proceedings of the 44th Conference of the International Group for the Psychology of Mathematics Education: PME, edited by M. Inprasitha, N. Changsri, and N. Boonsena, 46–54, 2020.' ieee: 'J. Schönherr, J. Blomberg, S. Schukajlow, and J. Rellensmann, ““Why don’t you make a drawing?" Motivation and strategy use in mathematical modelling,” in Proceedings of the 44th Conference of the International Group for the Psychology of Mathematics Education: PME, 2020, pp. 46–54.' mla: 'Schönherr, Johanna, et al. ““Why Don’t You Make a Drawing?" Motivation and Strategy Use in Mathematical Modelling.” Proceedings of the 44th Conference of the International Group for the Psychology of Mathematics Education: PME, edited by M. Inprasitha et al., 2020, pp. 46–54.' short: 'J. Schönherr, J. Blomberg, S. Schukajlow, J. Rellensmann, in: M. Inprasitha, N. Changsri, N. Boonsena (Eds.), Proceedings of the 44th Conference of the International Group for the Psychology of Mathematics Education: PME, 2020, pp. 46–54.' date_created: 2023-05-29T17:14:34Z date_updated: 2023-06-20T19:29:15Z department: - _id: '97' editor: - first_name: M. full_name: Inprasitha, M. last_name: Inprasitha - first_name: N. full_name: Changsri, N. last_name: Changsri - first_name: N. full_name: Boonsena, N. last_name: Boonsena extern: '1' language: - iso: eng page: 46–54 publication: 'Proceedings of the 44th Conference of the International Group for the Psychology of Mathematics Education: PME' publication_status: published status: public title: “Why don’t you make a drawing?" Motivation and strategy use in mathematical modelling type: conference user_id: '49063' year: '2020' ... --- _id: '45338' author: - first_name: Johanna full_name: Schönherr, Johanna id: '99409' last_name: Schönherr - first_name: S. full_name: Schukajlow, S. last_name: Schukajlow - first_name: C. full_name: Leopold, C. last_name: Leopold citation: ama: Schönherr J, Schukajlow S, Leopold C. Measuring and investigating strategic knowledge about drawing to solve geometry modelling problems. ZDM – Mathematics Education. 2020;52(1):97–110. doi:10.1007/s11858-019-01085-1 apa: Schönherr, J., Schukajlow, S., & Leopold, C. (2020). Measuring and investigating strategic knowledge about drawing to solve geometry modelling problems. ZDM – Mathematics Education, 52(1), 97–110. https://doi.org/10.1007/s11858-019-01085-1 bibtex: '@article{Schönherr_Schukajlow_Leopold_2020, title={Measuring and investigating strategic knowledge about drawing to solve geometry modelling problems}, volume={52}, DOI={10.1007/s11858-019-01085-1}, number={1}, journal={ZDM – Mathematics Education}, author={Schönherr, Johanna and Schukajlow, S. and Leopold, C.}, year={2020}, pages={97–110} }' chicago: 'Schönherr, Johanna, S. Schukajlow, and C. Leopold. “Measuring and Investigating Strategic Knowledge about Drawing to Solve Geometry Modelling Problems.” ZDM – Mathematics Education 52, no. 1 (2020): 97–110. https://doi.org/10.1007/s11858-019-01085-1.' ieee: 'J. Schönherr, S. Schukajlow, and C. Leopold, “Measuring and investigating strategic knowledge about drawing to solve geometry modelling problems,” ZDM – Mathematics Education, vol. 52, no. 1, pp. 97–110, 2020, doi: 10.1007/s11858-019-01085-1.' mla: Schönherr, Johanna, et al. “Measuring and Investigating Strategic Knowledge about Drawing to Solve Geometry Modelling Problems.” ZDM – Mathematics Education, vol. 52, no. 1, 2020, pp. 97–110, doi:10.1007/s11858-019-01085-1. short: J. Schönherr, S. Schukajlow, C. Leopold, ZDM – Mathematics Education 52 (2020) 97–110. date_created: 2023-05-29T17:32:02Z date_updated: 2023-06-20T19:29:35Z department: - _id: '97' doi: 10.1007/s11858-019-01085-1 extern: '1' intvolume: ' 52' issue: '1' language: - iso: eng page: 97–110 publication: ZDM – Mathematics Education publication_status: published status: public title: Measuring and investigating strategic knowledge about drawing to solve geometry modelling problems type: journal_article user_id: '49063' volume: 52 year: '2020' ... --- _id: '34670' author: - first_name: Tobias full_name: Black, Tobias id: '23686' last_name: Black orcid: 0000-0001-9963-0800 citation: ama: Black T. Global generalized solutions to a forager–exploiter model with superlinear degradation and their eventual regularity properties. Mathematical Models and Methods in Applied Sciences. 2020;30(06):1075-1117. doi:10.1142/s0218202520400072 apa: Black, T. (2020). Global generalized solutions to a forager–exploiter model with superlinear degradation and their eventual regularity properties. Mathematical Models and Methods in Applied Sciences, 30(06), 1075–1117. https://doi.org/10.1142/s0218202520400072 bibtex: '@article{Black_2020, title={Global generalized solutions to a forager–exploiter model with superlinear degradation and their eventual regularity properties}, volume={30}, DOI={10.1142/s0218202520400072}, number={06}, journal={Mathematical Models and Methods in Applied Sciences}, publisher={World Scientific Pub Co Pte Lt}, author={Black, Tobias}, year={2020}, pages={1075–1117} }' chicago: 'Black, Tobias. “Global Generalized Solutions to a Forager–Exploiter Model with Superlinear Degradation and Their Eventual Regularity Properties.” Mathematical Models and Methods in Applied Sciences 30, no. 06 (2020): 1075–1117. https://doi.org/10.1142/s0218202520400072.' ieee: 'T. Black, “Global generalized solutions to a forager–exploiter model with superlinear degradation and their eventual regularity properties,” Mathematical Models and Methods in Applied Sciences, vol. 30, no. 06, pp. 1075–1117, 2020, doi: 10.1142/s0218202520400072.' mla: Black, Tobias. “Global Generalized Solutions to a Forager–Exploiter Model with Superlinear Degradation and Their Eventual Regularity Properties.” Mathematical Models and Methods in Applied Sciences, vol. 30, no. 06, World Scientific Pub Co Pte Lt, 2020, pp. 1075–117, doi:10.1142/s0218202520400072. short: T. Black, Mathematical Models and Methods in Applied Sciences 30 (2020) 1075–1117. date_created: 2022-12-21T09:48:11Z date_updated: 2023-07-10T11:39:59Z department: - _id: '34' - _id: '10' - _id: '90' doi: 10.1142/s0218202520400072 intvolume: ' 30' issue: '06' keyword: - Applied Mathematics - Modeling and Simulation language: - iso: eng page: 1075-1117 publication: Mathematical Models and Methods in Applied Sciences publication_identifier: issn: - 0218-2025 - 1793-6314 publication_status: published publisher: World Scientific Pub Co Pte Lt status: public title: Global generalized solutions to a forager–exploiter model with superlinear degradation and their eventual regularity properties type: journal_article user_id: '23686' volume: 30 year: '2020' ... --- _id: '31376' article_type: original author: - first_name: Max full_name: Hoffmann, Max id: '32202' last_name: Hoffmann orcid: 0000-0002-6964-7123 citation: ama: 'Hoffmann M. Zirkel und Lineal ohne Parallelenaxiom: Ein konstruktiver Zugang zur hyperbolischen Geometrie. Der Mathematikunterricht. 2020;66 (6):36–47.' apa: 'Hoffmann, M. (2020). Zirkel und Lineal ohne Parallelenaxiom: Ein konstruktiver Zugang zur hyperbolischen Geometrie. Der Mathematikunterricht, 66 (6), 36–47.' bibtex: '@article{Hoffmann_2020, title={Zirkel und Lineal ohne Parallelenaxiom: Ein konstruktiver Zugang zur hyperbolischen Geometrie.}, volume={66 (6)}, journal={Der Mathematikunterricht}, author={Hoffmann, Max}, year={2020}, pages={36–47} }' chicago: 'Hoffmann, Max. “Zirkel und Lineal ohne Parallelenaxiom: Ein konstruktiver Zugang zur hyperbolischen Geometrie.” Der Mathematikunterricht 66 (6) (2020): 36–47.' ieee: 'M. Hoffmann, “Zirkel und Lineal ohne Parallelenaxiom: Ein konstruktiver Zugang zur hyperbolischen Geometrie.,” Der Mathematikunterricht, vol. 66 (6), pp. 36–47, 2020.' mla: 'Hoffmann, Max. “Zirkel und Lineal ohne Parallelenaxiom: Ein konstruktiver Zugang zur hyperbolischen Geometrie.” Der Mathematikunterricht, vol. 66 (6), 2020, pp. 36–47.' short: M. Hoffmann, Der Mathematikunterricht 66 (6) (2020) 36–47. date_created: 2022-05-22T14:56:06Z date_updated: 2023-07-19T13:59:16Z department: - _id: '97' language: - iso: ger page: 36–47 publication: Der Mathematikunterricht publication_status: published quality_controlled: '1' status: public title: 'Zirkel und Lineal ohne Parallelenaxiom: Ein konstruktiver Zugang zur hyperbolischen Geometrie.' type: journal_article user_id: '32202' volume: 66 (6) year: '2020' ... --- _id: '46159' author: - first_name: Timo full_name: Leuders, Timo last_name: Leuders - first_name: Lena full_name: Wessel, Lena id: '85190' last_name: Wessel citation: ama: Leuders T, Wessel L. Differenziertes Üben gestalten. Zwischen Umsetzung in der Praxis und Fundierung in der Forschung. Pädagogik 2/2020. 2020;(2):26-30. apa: Leuders, T., & Wessel, L. (2020). Differenziertes Üben gestalten. Zwischen Umsetzung in der Praxis und Fundierung in der Forschung. Pädagogik 2/2020, 2, 26–30. bibtex: '@article{Leuders_Wessel_2020, title={Differenziertes Üben gestalten. Zwischen Umsetzung in der Praxis und Fundierung in der Forschung.}, number={2}, journal={Pädagogik 2/2020}, publisher={Beltz Verlagsgruppe}, author={Leuders, Timo and Wessel, Lena}, year={2020}, pages={26–30} }' chicago: 'Leuders, Timo, and Lena Wessel. “Differenziertes Üben Gestalten. Zwischen Umsetzung in Der Praxis Und Fundierung in Der Forschung.” Pädagogik 2/2020, no. 2 (2020): 26–30.' ieee: T. Leuders and L. Wessel, “Differenziertes Üben gestalten. Zwischen Umsetzung in der Praxis und Fundierung in der Forschung.,” Pädagogik 2/2020, no. 2, pp. 26–30, 2020. mla: Leuders, Timo, and Lena Wessel. “Differenziertes Üben Gestalten. Zwischen Umsetzung in Der Praxis Und Fundierung in Der Forschung.” Pädagogik 2/2020, no. 2, Beltz Verlagsgruppe, 2020, pp. 26–30. short: T. Leuders, L. Wessel, Pädagogik 2/2020 (2020) 26–30. date_created: 2023-07-26T10:26:53Z date_updated: 2023-07-26T10:29:13Z department: - _id: '34' - _id: '10' - _id: '97' - _id: '643' issue: '2' language: - iso: eng page: 26-30 publication: Pädagogik 2/2020 publication_identifier: issn: - 0933-422X publisher: Beltz Verlagsgruppe status: public title: Differenziertes Üben gestalten. Zwischen Umsetzung in der Praxis und Fundierung in der Forschung. type: journal_article user_id: '37888' year: '2020' ... --- _id: '46158' author: - first_name: Lena full_name: Wessel, Lena id: '85190' last_name: Wessel - first_name: T. full_name: Kuzu, T. last_name: Kuzu - first_name: Susanne full_name: Prediger, Susanne last_name: Prediger citation: ama: 'Wessel L, Kuzu T, Prediger S. Sprachbildender Vorstellungsaufbau für verschiedene mathematische Konzepte: Brüche in Klasse 6. Sprachbildender Mathematikunterricht in der Sekundarstufe - ein forschungsbasiertes Praxisbuch. Published online 2020:148–151.' apa: 'Wessel, L., Kuzu, T., & Prediger, S. (2020). Sprachbildender Vorstellungsaufbau für verschiedene mathematische Konzepte: Brüche in Klasse 6. Sprachbildender Mathematikunterricht in Der Sekundarstufe - Ein Forschungsbasiertes Praxisbuch, 148–151.' bibtex: '@article{Wessel_Kuzu_Prediger_2020, title={Sprachbildender Vorstellungsaufbau für verschiedene mathematische Konzepte: Brüche in Klasse 6}, journal={Sprachbildender Mathematikunterricht in der Sekundarstufe - ein forschungsbasiertes Praxisbuch}, author={Wessel, Lena and Kuzu, T. and Prediger, Susanne}, year={2020}, pages={148–151} }' chicago: 'Wessel, Lena, T. Kuzu, and Susanne Prediger. “Sprachbildender Vorstellungsaufbau Für Verschiedene Mathematische Konzepte: Brüche in Klasse 6.” Sprachbildender Mathematikunterricht in Der Sekundarstufe - Ein Forschungsbasiertes Praxisbuch, 2020, 148–151.' ieee: 'L. Wessel, T. Kuzu, and S. Prediger, “Sprachbildender Vorstellungsaufbau für verschiedene mathematische Konzepte: Brüche in Klasse 6,” Sprachbildender Mathematikunterricht in der Sekundarstufe - ein forschungsbasiertes Praxisbuch, pp. 148–151, 2020.' mla: 'Wessel, Lena, et al. “Sprachbildender Vorstellungsaufbau Für Verschiedene Mathematische Konzepte: Brüche in Klasse 6.” Sprachbildender Mathematikunterricht in Der Sekundarstufe - Ein Forschungsbasiertes Praxisbuch, 2020, pp. 148–151.' short: L. Wessel, T. Kuzu, S. Prediger, Sprachbildender Mathematikunterricht in Der Sekundarstufe - Ein Forschungsbasiertes Praxisbuch (2020) 148–151. date_created: 2023-07-26T10:24:10Z date_updated: 2023-07-26T10:25:23Z department: - _id: '34' - _id: '10' - _id: '97' - _id: '643' language: - iso: eng page: 148–151 publication: Sprachbildender Mathematikunterricht in der Sekundarstufe - ein forschungsbasiertes Praxisbuch status: public title: 'Sprachbildender Vorstellungsaufbau für verschiedene mathematische Konzepte: Brüche in Klasse 6' type: journal_article user_id: '37888' year: '2020' ... --- _id: '48406' author: - first_name: Lena full_name: Wessel, Lena id: '85190' last_name: Wessel - first_name: S. full_name: Prediger, S. last_name: Prediger - first_name: A. full_name: Stein, A. last_name: Stein - first_name: M. full_name: Wijers, M. last_name: Wijers - first_name: V. full_name: Jonker, V. last_name: Jonker citation: ama: Wessel L, Prediger S, Stein A, Wijers M, Jonker V. Language for Mathematics in Vocational Contexts. Handbook for Teachers and Facilitators. DZLM; 2020. apa: Wessel, L., Prediger, S., Stein, A., Wijers, M., & Jonker, V. (2020). Language for Mathematics in Vocational Contexts. Handbook for teachers and facilitators. DZLM. bibtex: '@book{Wessel_Prediger_Stein_Wijers_Jonker_2020, place={Dortmund/Arnsberg}, title={Language for Mathematics in Vocational Contexts. Handbook for teachers and facilitators}, publisher={DZLM}, author={Wessel, Lena and Prediger, S. and Stein, A. and Wijers, M. and Jonker, V.}, year={2020} }' chicago: 'Wessel, Lena, S. Prediger, A. Stein, M. Wijers, and V. Jonker. Language for Mathematics in Vocational Contexts. Handbook for Teachers and Facilitators. Dortmund/Arnsberg: DZLM, 2020.' ieee: 'L. Wessel, S. Prediger, A. Stein, M. Wijers, and V. Jonker, Language for Mathematics in Vocational Contexts. Handbook for teachers and facilitators. Dortmund/Arnsberg: DZLM, 2020.' mla: Wessel, Lena, et al. Language for Mathematics in Vocational Contexts. Handbook for Teachers and Facilitators. DZLM, 2020. short: L. Wessel, S. Prediger, A. Stein, M. Wijers, V. Jonker, Language for Mathematics in Vocational Contexts. Handbook for Teachers and Facilitators, DZLM, Dortmund/Arnsberg, 2020. date_created: 2023-10-24T07:17:54Z date_updated: 2023-10-24T07:17:58Z department: - _id: '34' - _id: '10' - _id: '97' - _id: '643' language: - iso: eng main_file_link: - url: www.lamavoc.nrw.de place: Dortmund/Arnsberg publisher: DZLM status: public title: Language for Mathematics in Vocational Contexts. Handbook for teachers and facilitators type: book user_id: '37888' year: '2020' ... --- _id: '48405' author: - first_name: F. full_name: Sprütten, F. last_name: Sprütten - first_name: Lena full_name: Wessel, Lena id: '85190' last_name: Wessel - first_name: K. full_name: Zentgraf, K. last_name: Zentgraf - first_name: S. full_name: Prediger, S. last_name: Prediger citation: ama: 'Sprütten F, Wessel L, Zentgraf K, Prediger S. Fach- und sprachintegrierte Ansätze für Neuzugewanderte. In: Prediger S, ed. Sprachbildender Mathematikunterricht in der Sekundarstufe. Ein forschungsbasiertes Praxisbuch. Cornelsen Skriptor; 2020:115-130.' apa: Sprütten, F., Wessel, L., Zentgraf, K., & Prediger, S. (2020). Fach- und sprachintegrierte Ansätze für Neuzugewanderte. In S. Prediger (Ed.), Sprachbildender Mathematikunterricht in der Sekundarstufe. Ein forschungsbasiertes Praxisbuch (pp. 115–130). Cornelsen Skriptor. bibtex: '@inbook{Sprütten_Wessel_Zentgraf_Prediger_2020, place={Berlin}, title={Fach- und sprachintegrierte Ansätze für Neuzugewanderte}, booktitle={Sprachbildender Mathematikunterricht in der Sekundarstufe. Ein forschungsbasiertes Praxisbuch}, publisher={Cornelsen Skriptor}, author={Sprütten, F. and Wessel, Lena and Zentgraf, K. and Prediger, S.}, editor={Prediger, S.}, year={2020}, pages={115–130} }' chicago: 'Sprütten, F., Lena Wessel, K. Zentgraf, and S. Prediger. “Fach- und sprachintegrierte Ansätze für Neuzugewanderte.” In Sprachbildender Mathematikunterricht in der Sekundarstufe. Ein forschungsbasiertes Praxisbuch, edited by S. Prediger, 115–30. Berlin: Cornelsen Skriptor, 2020.' ieee: 'F. Sprütten, L. Wessel, K. Zentgraf, and S. Prediger, “Fach- und sprachintegrierte Ansätze für Neuzugewanderte,” in Sprachbildender Mathematikunterricht in der Sekundarstufe. Ein forschungsbasiertes Praxisbuch, S. Prediger, Ed. Berlin: Cornelsen Skriptor, 2020, pp. 115–130.' mla: Sprütten, F., et al. “Fach- und sprachintegrierte Ansätze für Neuzugewanderte.” Sprachbildender Mathematikunterricht in der Sekundarstufe. Ein forschungsbasiertes Praxisbuch, edited by S. Prediger, Cornelsen Skriptor, 2020, pp. 115–30. short: 'F. Sprütten, L. Wessel, K. Zentgraf, S. Prediger, in: S. Prediger (Ed.), Sprachbildender Mathematikunterricht in der Sekundarstufe. Ein forschungsbasiertes Praxisbuch, Cornelsen Skriptor, Berlin, 2020, pp. 115–130.' date_created: 2023-10-24T07:13:15Z date_updated: 2023-10-31T09:37:03Z department: - _id: '34' - _id: '10' - _id: '97' - _id: '643' editor: - first_name: S. full_name: Prediger, S. last_name: Prediger language: - iso: other page: 115-130 place: Berlin publication: Sprachbildender Mathematikunterricht in der Sekundarstufe. Ein forschungsbasiertes Praxisbuch publisher: Cornelsen Skriptor status: public title: Fach- und sprachintegrierte Ansätze für Neuzugewanderte type: book_chapter user_id: '37888' year: '2020' ... --- _id: '45383' author: - first_name: Jennifer full_name: Dröse, Jennifer id: '85820' last_name: Dröse - first_name: Susanne full_name: Prediger, Susanne last_name: Prediger citation: ama: 'Dröse J, Prediger S. Enhancing Fifth Graders’ Awareness of Syntactic Features in Mathematical Word Problems: A Design Research Study on the Variation Principle. Journal für Mathematik-Didaktik, 41(2). Published online 2020:399-422. doi:doi.org/10.1007/s13138-019-00153-z' apa: 'Dröse, J., & Prediger, S. (2020). Enhancing Fifth Graders’ Awareness of Syntactic Features in Mathematical Word Problems: A Design Research Study on the Variation Principle. Journal Für Mathematik-Didaktik, 41(2), 399–422. https://doi.org/doi.org/10.1007/s13138-019-00153-z' bibtex: '@article{Dröse_Prediger_2020, title={Enhancing Fifth Graders’ Awareness of Syntactic Features in Mathematical Word Problems: A Design Research Study on the Variation Principle}, DOI={doi.org/10.1007/s13138-019-00153-z}, journal={Journal für Mathematik-Didaktik, 41(2)}, author={Dröse, Jennifer and Prediger, Susanne}, year={2020}, pages={399–422} }' chicago: 'Dröse, Jennifer, and Susanne Prediger. “Enhancing Fifth Graders’ Awareness of Syntactic Features in Mathematical Word Problems: A Design Research Study on the Variation Principle.” Journal Für Mathematik-Didaktik, 41(2), 2020, 399–422. https://doi.org/doi.org/10.1007/s13138-019-00153-z.' ieee: 'J. Dröse and S. Prediger, “Enhancing Fifth Graders’ Awareness of Syntactic Features in Mathematical Word Problems: A Design Research Study on the Variation Principle,” Journal für Mathematik-Didaktik, 41(2), pp. 399–422, 2020, doi: doi.org/10.1007/s13138-019-00153-z.' mla: 'Dröse, Jennifer, and Susanne Prediger. “Enhancing Fifth Graders’ Awareness of Syntactic Features in Mathematical Word Problems: A Design Research Study on the Variation Principle.” Journal Für Mathematik-Didaktik, 41(2), 2020, pp. 399–422, doi:doi.org/10.1007/s13138-019-00153-z.' short: J. Dröse, S. Prediger, Journal Für Mathematik-Didaktik, 41(2) (2020) 399–422. date_created: 2023-05-31T07:16:27Z date_updated: 2023-11-02T08:06:54Z department: - _id: '98' doi: doi.org/10.1007/s13138-019-00153-z language: - iso: eng page: 399-422 publication: Journal für Mathematik-Didaktik, 41(2) quality_controlled: '1' status: public title: 'Enhancing Fifth Graders’ Awareness of Syntactic Features in Mathematical Word Problems: A Design Research Study on the Variation Principle' type: journal_article user_id: '85820' year: '2020' ... --- _id: '29413' author: - first_name: K. full_name: Flaßkamp, K. last_name: Flaßkamp - first_name: Sina full_name: Ober-Blöbaum, Sina id: '16494' last_name: Ober-Blöbaum - first_name: 'S. ' full_name: 'Peitz, S. ' last_name: Peitz citation: ama: 'Flaßkamp K, Ober-Blöbaum S, Peitz S. Symmetry in optimal control: A multiobjective model predictive control approach. In: Junge O, Schütze O, Froyland G, Ober-Blöbaum S, Padberg-Gehle K, eds. Advances in Dynamics, Optimization and Computation. Springer International Publishing; 2020:209-237.' apa: '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 (pp. 209–237). Springer International Publishing.' bibtex: '@inbook{Flaßkamp_Ober-Blöbaum_Peitz_2020, place={Cham}, title={Symmetry in optimal control: A multiobjective model predictive control approach}, booktitle={Advances in Dynamics, Optimization and Computation}, publisher={Springer International Publishing}, author={Flaßkamp, K. and Ober-Blöbaum, Sina and Peitz, S. }, editor={Junge, Oliver and Schütze, Oliver and Froyland, Gary and Ober-Blöbaum, Sina and Padberg-Gehle, Kathrin}, year={2020}, pages={209–237} }' chicago: 'Flaßkamp, K., Sina Ober-Blöbaum, and S. Peitz. “Symmetry in Optimal Control: A Multiobjective Model Predictive Control Approach.” In Advances in Dynamics, Optimization and Computation, edited by Oliver Junge, Oliver Schütze, Gary Froyland, Sina Ober-Blöbaum, and Kathrin Padberg-Gehle, 209–37. Cham: Springer International Publishing, 2020.' ieee: '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 International Publishing, 2020, pp. 209–237.' mla: 'Flaßkamp, K., 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 International Publishing, 2020, pp. 209–37.' short: 'K. Flaßkamp, S. Ober-Blöbaum, S. Peitz, in: O. Junge, O. Schütze, G. Froyland, S. Ober-Blöbaum, K. Padberg-Gehle (Eds.), Advances in Dynamics, Optimization and Computation, Springer International Publishing, Cham, 2020, pp. 209–237.' date_created: 2022-01-18T12:58:18Z date_updated: 2023-11-08T08:15:14Z department: - _id: '636' editor: - first_name: Oliver full_name: Junge, Oliver last_name: Junge - first_name: Oliver full_name: Schütze, Oliver last_name: Schütze - first_name: Gary full_name: Froyland, Gary last_name: Froyland - first_name: Sina full_name: Ober-Blöbaum, Sina last_name: Ober-Blöbaum - first_name: Kathrin full_name: Padberg-Gehle, Kathrin last_name: Padberg-Gehle language: - iso: eng page: 209-237 place: Cham publication: Advances in Dynamics, Optimization and Computation publisher: Springer International Publishing status: public title: 'Symmetry in optimal control: A multiobjective model predictive control approach' type: book_chapter user_id: '15694' year: '2020' ... --- _id: '31553' author: - first_name: Susanne full_name: Seitz, Susanne last_name: Seitz - first_name: Uta full_name: Häsel-Weide, Uta id: '60267' last_name: Häsel-Weide - first_name: Yannik full_name: Wilke, Yannik last_name: Wilke - first_name: Melina full_name: Wallner, Melina id: '45445' last_name: Wallner citation: ama: Seitz S, Häsel-Weide U, Wilke Y, Wallner M. Expertise von Lehrpersonen für inklusiven Mathematikunterricht der Sekundarstufe - Ausgangspunkte zur Professionalisierungsforschung. K:ON Kölner Online-Journal für Lehrer*innenbildung. 2020;(2). doi:10.18716/ojs/kON/2020.2.03 apa: Seitz, S., Häsel-Weide, U., Wilke, Y., & Wallner, M. (2020). Expertise von Lehrpersonen für inklusiven Mathematikunterricht der Sekundarstufe - Ausgangspunkte zur Professionalisierungsforschung. K:ON Kölner Online-Journal für Lehrer*innenbildung, 2. https://doi.org/10.18716/ojs/kON/2020.2.03 bibtex: '@article{Seitz_Häsel-Weide_Wilke_Wallner_2020, title={Expertise von Lehrpersonen für inklusiven Mathematikunterricht der Sekundarstufe - Ausgangspunkte zur Professionalisierungsforschung.}, DOI={10.18716/ojs/kON/2020.2.03}, number={2}, journal={K:ON Kölner Online-Journal für Lehrer*innenbildung}, author={Seitz, Susanne and Häsel-Weide, Uta and Wilke, Yannik and Wallner, Melina}, year={2020} }' chicago: Seitz, Susanne, Uta Häsel-Weide, Yannik Wilke, and Melina Wallner. “Expertise von Lehrpersonen für inklusiven Mathematikunterricht der Sekundarstufe - Ausgangspunkte zur Professionalisierungsforschung.” K:ON Kölner Online-Journal für Lehrer*innenbildung, no. 2 (2020). https://doi.org/10.18716/ojs/kON/2020.2.03. ieee: 'S. Seitz, U. Häsel-Weide, Y. Wilke, and M. Wallner, “Expertise von Lehrpersonen für inklusiven Mathematikunterricht der Sekundarstufe - Ausgangspunkte zur Professionalisierungsforschung.,” K:ON Kölner Online-Journal für Lehrer*innenbildung, no. 2, 2020, doi: 10.18716/ojs/kON/2020.2.03.' mla: Seitz, Susanne, et al. “Expertise von Lehrpersonen für inklusiven Mathematikunterricht der Sekundarstufe - Ausgangspunkte zur Professionalisierungsforschung.” K:ON Kölner Online-Journal für Lehrer*innenbildung, no. 2, 2020, doi:10.18716/ojs/kON/2020.2.03. short: S. Seitz, U. Häsel-Weide, Y. Wilke, M. Wallner, K:ON Kölner Online-Journal für Lehrer*innenbildung (2020). date_created: 2022-05-31T08:11:34Z date_updated: 2023-11-24T16:50:38Z department: - _id: '98' - _id: '543' doi: 10.18716/ojs/kON/2020.2.03 issue: '2' language: - iso: ger publication: K:ON Kölner Online-Journal für Lehrer*innenbildung publication_status: published status: public title: Expertise von Lehrpersonen für inklusiven Mathematikunterricht der Sekundarstufe - Ausgangspunkte zur Professionalisierungsforschung. type: journal_article user_id: '45445' year: '2020' ... --- _id: '45384' author: - first_name: Jennifer full_name: Dröse, Jennifer id: '85820' last_name: Dröse citation: ama: 'Dröse J. Verstehensgrundlagen diagnostizieren - Welche Wissenselemente fokussieren Lehrkräfte? In: Siller H-S, Weigel W, Wöler JF, eds. Beiträge zum Mathematikunterricht 2020 . WTM; 2020:233-236.' apa: Dröse, J. (2020). Verstehensgrundlagen diagnostizieren - Welche Wissenselemente fokussieren Lehrkräfte? In H.-S. Siller, W. Weigel, & J. F. Wöler (Eds.), Beiträge zum Mathematikunterricht 2020 (pp. 233–236). WTM. bibtex: '@inproceedings{Dröse_2020, place={Münster}, title={Verstehensgrundlagen diagnostizieren - Welche Wissenselemente fokussieren Lehrkräfte?}, booktitle={Beiträge zum Mathematikunterricht 2020 }, publisher={WTM}, author={Dröse, Jennifer}, editor={Siller, H.-S. and Weigel, W. and Wöler, J. F.}, year={2020}, pages={233–236} }' chicago: 'Dröse, Jennifer. “Verstehensgrundlagen diagnostizieren - Welche Wissenselemente fokussieren Lehrkräfte?” In Beiträge zum Mathematikunterricht 2020 , edited by H.-S. Siller, W. Weigel, and J. F. Wöler, 233–36. Münster: WTM, 2020.' ieee: J. Dröse, “Verstehensgrundlagen diagnostizieren - Welche Wissenselemente fokussieren Lehrkräfte?,” in Beiträge zum Mathematikunterricht 2020 , 2020, pp. 233–236. mla: Dröse, Jennifer. “Verstehensgrundlagen diagnostizieren - Welche Wissenselemente fokussieren Lehrkräfte?” Beiträge zum Mathematikunterricht 2020 , edited by H.-S. Siller et al., WTM, 2020, pp. 233–36. short: 'J. Dröse, in: H.-S. Siller, W. Weigel, J.F. Wöler (Eds.), Beiträge zum Mathematikunterricht 2020 , WTM, Münster, 2020, pp. 233–236.' date_created: 2023-05-31T07:18:51Z date_updated: 2023-11-02T08:09:21Z department: - _id: '98' editor: - first_name: H.-S. full_name: Siller, H.-S. last_name: Siller - first_name: W. full_name: Weigel, W. last_name: Weigel - first_name: J. F. full_name: Wöler, J. F. last_name: Wöler language: - iso: ger page: 233-236 place: Münster publication: 'Beiträge zum Mathematikunterricht 2020 ' publisher: WTM status: public title: Verstehensgrundlagen diagnostizieren - Welche Wissenselemente fokussieren Lehrkräfte? type: conference user_id: '85820' year: '2020' ... --- _id: '45386' author: - first_name: Jennifer full_name: Dröse, Jennifer id: '85820' last_name: Dröse - first_name: V. full_name: Eisen, V. last_name: Eisen - first_name: Susanne full_name: Prediger, Susanne last_name: Prediger - first_name: M. full_name: Altieri, M. last_name: Altieri - first_name: M. full_name: Schellenbach, M. last_name: Schellenbach - first_name: R. full_name: Menning, R. last_name: Menning citation: ama: 'Dröse J, Eisen V, Prediger S, Altieri M, Schellenbach M, Menning R. Textaufgaben lesen lernen – eine digital gestützte Einheit mit App . In: Mathematik lehren 223. ; 2020:38-40.' apa: Dröse, J., Eisen, V., Prediger, S., Altieri, M., Schellenbach, M., & Menning, R. (2020). Textaufgaben lesen lernen – eine digital gestützte Einheit mit App . In Mathematik lehren 223 (pp. 38–40). bibtex: '@inbook{Dröse_Eisen_Prediger_Altieri_Schellenbach_Menning_2020, title={Textaufgaben lesen lernen – eine digital gestützte Einheit mit App }, booktitle={Mathematik lehren 223}, author={Dröse, Jennifer and Eisen, V. and Prediger, Susanne and Altieri, M. and Schellenbach, M. and Menning, R.}, year={2020}, pages={38–40} }' chicago: Dröse, Jennifer, V. Eisen, Susanne Prediger, M. Altieri, M. Schellenbach, and R. Menning. “Textaufgaben lesen lernen – eine digital gestützte Einheit mit App .” In Mathematik lehren 223, 38–40, 2020. ieee: J. Dröse, V. Eisen, S. Prediger, M. Altieri, M. Schellenbach, and R. Menning, “Textaufgaben lesen lernen – eine digital gestützte Einheit mit App ,” in Mathematik lehren 223, 2020, pp. 38–40. mla: Dröse, Jennifer, et al. “Textaufgaben lesen lernen – eine digital gestützte Einheit mit App .” Mathematik lehren 223, 2020, pp. 38–40. short: 'J. Dröse, V. Eisen, S. Prediger, M. Altieri, M. Schellenbach, R. Menning, in: Mathematik lehren 223, 2020, pp. 38–40.' date_created: 2023-05-31T07:42:06Z date_updated: 2023-11-02T08:09:54Z department: - _id: '98' language: - iso: ger page: 38-40 publication: Mathematik lehren 223 status: public title: 'Textaufgaben lesen lernen – eine digital gestützte Einheit mit App ' type: book_chapter user_id: '85820' year: '2020' ... --- _id: '17994' abstract: - lang: eng text: In this work we review the novel framework for the computation of finite dimensional invariant sets of infinite dimensional dynamical systems developed in [6] and [36]. By utilizing results on embedding techniques for infinite dimensional systems we extend a classical subdivision scheme [8] as well as a continuation algorithm [7] for the computation of attractors and invariant manifolds of finite dimensional systems to the infinite dimensional case. We show how to implement this approach for the analysis of delay differential equations and partial differential equations and illustrate the feasibility of our implementation by computing the attractor of the Mackey-Glass equation and the unstable manifold of the one-dimensional Kuramoto-Sivashinsky equation. author: - first_name: Raphael full_name: Gerlach, Raphael id: '32655' last_name: Gerlach - first_name: Adrian full_name: Ziessler, Adrian last_name: Ziessler citation: ama: 'Gerlach R, Ziessler A. The Approximation of Invariant Sets in Infinite Dimensional Dynamical Systems. In: Junge O, Schütze O, Ober-Blöbaum S, Padberg-Gehle K, eds. Advances in Dynamics, Optimization and Computation. Vol 304. Studies in Systems, Decision and Control. Springer International Publishing; 2020:66-85. doi:10.1007/978-3-030-51264-4_3' apa: Gerlach, R., & Ziessler, A. (2020). The Approximation of Invariant Sets in Infinite Dimensional Dynamical Systems. In O. Junge, O. Schütze, S. Ober-Blöbaum, & K. Padberg-Gehle (Eds.), Advances in Dynamics, Optimization and Computation (Vol. 304, pp. 66–85). Springer International Publishing. https://doi.org/10.1007/978-3-030-51264-4_3 bibtex: '@inbook{Gerlach_Ziessler_2020, place={Cham}, series={Studies in Systems, Decision and Control}, title={The Approximation of Invariant Sets in Infinite Dimensional Dynamical Systems}, volume={304}, DOI={10.1007/978-3-030-51264-4_3}, booktitle={Advances in Dynamics, Optimization and Computation}, publisher={Springer International Publishing}, author={Gerlach, Raphael and Ziessler, Adrian}, editor={Junge, Oliver and Schütze, Oliver and Ober-Blöbaum, Sina and Padberg-Gehle, Kathrin}, year={2020}, pages={66–85}, collection={Studies in Systems, Decision and Control} }' chicago: 'Gerlach, Raphael, and Adrian Ziessler. “The Approximation of Invariant Sets in Infinite Dimensional Dynamical Systems.” In Advances in Dynamics, Optimization and Computation, edited by Oliver Junge, Oliver Schütze, Sina Ober-Blöbaum, and Kathrin Padberg-Gehle, 304:66–85. Studies in Systems, Decision and Control. Cham: Springer International Publishing, 2020. https://doi.org/10.1007/978-3-030-51264-4_3.' ieee: '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 International Publishing, 2020, pp. 66–85.' mla: 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 International Publishing, 2020, pp. 66–85, doi:10.1007/978-3-030-51264-4_3. short: 'R. Gerlach, A. Ziessler, in: O. Junge, O. Schütze, S. Ober-Blöbaum, K. Padberg-Gehle (Eds.), Advances in Dynamics, Optimization and Computation, Springer International Publishing, Cham, 2020, pp. 66–85.' date_created: 2020-08-14T15:02:22Z date_updated: 2023-11-17T13:13:25Z department: - _id: '101' doi: 10.1007/978-3-030-51264-4_3 editor: - first_name: Oliver full_name: Junge, Oliver last_name: Junge - first_name: Oliver full_name: Schütze, Oliver last_name: Schütze - first_name: Sina full_name: Ober-Blöbaum, Sina last_name: Ober-Blöbaum - first_name: Kathrin full_name: Padberg-Gehle, Kathrin last_name: Padberg-Gehle intvolume: ' 304' language: - iso: eng main_file_link: - url: https://link.springer.com/chapter/10.1007/978-3-030-51264-4_3 page: 66-85 place: Cham publication: Advances in Dynamics, Optimization and Computation publication_identifier: isbn: - '9783030512637' - '9783030512644' issn: - 2198-4182 - 2198-4190 publication_status: published publisher: Springer International Publishing series_title: Studies in Systems, Decision and Control status: public title: The Approximation of Invariant Sets in Infinite Dimensional Dynamical Systems type: book_chapter user_id: '32655' volume: 304 year: '2020' ... --- _id: '16712' abstract: - lang: eng text: We investigate self-adjoint matrices A∈Rn,n with respect to their equivariance properties. We show in particular that a matrix is self-adjoint if and only if it is equivariant with respect to the action of a group Γ2(A)⊂O(n) which is isomorphic to ⊗nk=1Z2. If the self-adjoint matrix possesses multiple eigenvalues – this may, for instance, be induced by symmetry properties of an underlying dynamical system – then A is even equivariant with respect to the action of a group Γ(A)≃∏ki=1O(mi) where m1,…,mk are the multiplicities of the eigenvalues λ1,…,λk of A. We discuss implications of this result for equivariant bifurcation problems, and we briefly address further applications for the Procrustes problem, graph symmetries and Taylor expansions. author: - first_name: Michael full_name: Dellnitz, Michael last_name: Dellnitz - first_name: Bennet full_name: Gebken, Bennet id: '32643' last_name: Gebken - first_name: Raphael full_name: Gerlach, Raphael id: '32655' last_name: Gerlach - first_name: Stefan full_name: Klus, Stefan last_name: Klus citation: ama: Dellnitz M, Gebken B, Gerlach R, Klus S. On the equivariance properties of self-adjoint matrices. Dynamical Systems. 2020;35(2):197-215. doi:10.1080/14689367.2019.1661355 apa: Dellnitz, M., Gebken, B., Gerlach, R., & Klus, S. (2020). On the equivariance properties of self-adjoint matrices. Dynamical Systems, 35(2), 197–215. https://doi.org/10.1080/14689367.2019.1661355 bibtex: '@article{Dellnitz_Gebken_Gerlach_Klus_2020, title={On the equivariance properties of self-adjoint matrices}, volume={35}, DOI={10.1080/14689367.2019.1661355}, number={2}, journal={Dynamical Systems}, author={Dellnitz, Michael and Gebken, Bennet and Gerlach, Raphael and Klus, Stefan}, year={2020}, pages={197–215} }' chicago: 'Dellnitz, Michael, Bennet Gebken, Raphael Gerlach, and Stefan Klus. “On the Equivariance Properties of Self-Adjoint Matrices.” Dynamical Systems 35, no. 2 (2020): 197–215. https://doi.org/10.1080/14689367.2019.1661355.' ieee: 'M. Dellnitz, B. Gebken, R. Gerlach, and S. Klus, “On the equivariance properties of self-adjoint matrices,” Dynamical Systems, vol. 35, no. 2, pp. 197–215, 2020, doi: 10.1080/14689367.2019.1661355.' mla: Dellnitz, Michael, et al. “On the Equivariance Properties of Self-Adjoint Matrices.” Dynamical Systems, vol. 35, no. 2, 2020, pp. 197–215, doi:10.1080/14689367.2019.1661355. short: M. Dellnitz, B. Gebken, R. Gerlach, S. Klus, Dynamical Systems 35 (2020) 197–215. date_created: 2020-04-16T14:07:25Z date_updated: 2023-11-17T13:12:59Z department: - _id: '101' doi: 10.1080/14689367.2019.1661355 intvolume: ' 35' issue: '2' language: - iso: eng main_file_link: - url: https://doi.org/10.1080/14689367.2019.1661355 page: 197-215 publication: Dynamical Systems publication_identifier: issn: - 1468-9367 - 1468-9375 publication_status: published status: public title: On the equivariance properties of self-adjoint matrices type: journal_article user_id: '32655' volume: 35 year: '2020' ... --- _id: '51386' author: - first_name: Joachim full_name: Hilgert, Joachim id: '220' last_name: Hilgert - first_name: H. full_name: Barnum, H. last_name: Barnum citation: ama: Hilgert J, Barnum H. Spectral Properties of Convex Bodies. J of Lie Theory. 2020;30:315-344. apa: Hilgert, J., & Barnum, H. (2020). Spectral Properties of Convex Bodies. J. of Lie Theory, 30, 315–344. bibtex: '@article{Hilgert_Barnum_2020, title={Spectral Properties of Convex Bodies}, volume={30}, journal={J. of Lie Theory}, author={Hilgert, Joachim and Barnum, H.}, year={2020}, pages={315–344} }' chicago: 'Hilgert, Joachim, and H. Barnum. “Spectral Properties of Convex Bodies.” J. of Lie Theory 30 (2020): 315–44.' ieee: J. Hilgert and H. Barnum, “Spectral Properties of Convex Bodies,” J. of Lie Theory, vol. 30, pp. 315–344, 2020. mla: Hilgert, Joachim, and H. Barnum. “Spectral Properties of Convex Bodies.” J. of Lie Theory, vol. 30, 2020, pp. 315–44. short: J. Hilgert, H. Barnum, J. of Lie Theory 30 (2020) 315–344. date_created: 2024-02-19T06:37:21Z date_updated: 2024-02-19T06:39:48Z department: - _id: '91' intvolume: ' 30' language: - iso: eng page: 315-344 publication: J. of Lie Theory publication_status: published status: public title: Spectral Properties of Convex Bodies type: journal_article user_id: '49063' volume: 30 year: '2020' ... --- _id: '51488' citation: ama: Hilgert J, ed. Mathematik studieren -- Ein Ratgeber für Erstsemester und solche, die es vielleicht werden wollen. Springer Spektrum; 2020. apa: Hilgert, J. (Ed.). (2020). Mathematik studieren -- Ein Ratgeber für Erstsemester und solche, die es vielleicht werden wollen. Springer Spektrum. bibtex: '@book{Hilgert_2020, title={Mathematik studieren -- Ein Ratgeber für Erstsemester und solche, die es vielleicht werden wollen}, publisher={Springer Spektrum}, year={2020} }' chicago: Hilgert, Joachim, ed. Mathematik studieren -- Ein Ratgeber für Erstsemester und solche, die es vielleicht werden wollen. Springer Spektrum, 2020. ieee: J. Hilgert, Ed., Mathematik studieren -- Ein Ratgeber für Erstsemester und solche, die es vielleicht werden wollen. Springer Spektrum, 2020. mla: Hilgert, Joachim, editor. Mathematik studieren -- Ein Ratgeber für Erstsemester und solche, die es vielleicht werden wollen. Springer Spektrum, 2020. short: J. Hilgert, ed., Mathematik studieren -- Ein Ratgeber für Erstsemester und solche, die es vielleicht werden wollen, Springer Spektrum, 2020. date_created: 2024-02-19T10:15:44Z date_updated: 2024-02-19T10:16:46Z department: - _id: '91' editor: - first_name: Joachim full_name: Hilgert, Joachim id: '220' last_name: Hilgert language: - iso: ger main_file_link: - url: https://link.springer.com/book/10.1007/978-3-658-31833-8 publication_status: published publisher: Springer Spektrum status: public title: Mathematik studieren -- Ein Ratgeber für Erstsemester und solche, die es vielleicht werden wollen type: book_editor user_id: '49063' year: '2020' ... --- _id: '51520' author: - first_name: Joachim full_name: Hilgert, Joachim id: '220' last_name: Hilgert - first_name: D. full_name: Brennecken, D. last_name: Brennecken - first_name: L. full_name: Ciardo, L. last_name: Ciardo citation: ama: Hilgert J, Brennecken D, Ciardo L. Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(ℝ)/SOn(ℝ). Published online 2020. apa: Hilgert, J., Brennecken, D., & Ciardo, L. (2020). Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(ℝ)/SOn(ℝ). bibtex: '@article{Hilgert_Brennecken_Ciardo_2020, title={Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(ℝ)/SOn(ℝ)}, author={Hilgert, Joachim and Brennecken, D. and Ciardo, L.}, year={2020} }' chicago: Hilgert, Joachim, D. Brennecken, and L. Ciardo. “Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(ℝ)/SOn(ℝ),” 2020. ieee: J. Hilgert, D. Brennecken, and L. Ciardo, “Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(ℝ)/SOn(ℝ).” 2020. mla: Hilgert, Joachim, et al. Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(ℝ)/SOn(ℝ). 2020. short: J. Hilgert, D. Brennecken, L. Ciardo, (2020). date_created: 2024-02-20T08:19:00Z date_updated: 2024-02-20T08:19:07Z department: - _id: '91' language: - iso: eng main_file_link: - open_access: '1' url: https://arxiv.org/pdf/2008.07479.pdf oa: '1' publication_status: published status: public title: Algebraically Independent Generators for the Algebra of Invariant Differential Operators on SLn(ℝ)/SOn(ℝ) type: preprint user_id: '49063' year: '2020' ... --- _id: '51559' author: - first_name: Joachim full_name: Hilgert, Joachim id: '220' last_name: Hilgert citation: ama: 'Hilgert J. Titu Andreescu und Vlad Crisan: Mathematical Induction – A powerful and elegant method of proof. XYZ Press 2017 und Florian André Dalwigk: Vollständige Induktion – Beispiele und Aufgaben bis zum Umfallen. Springer Spektrum 2019. Mathematische Semesterberichte. 2020;67:301–305. doi:10.1007/s00591-020-00282-4' apa: 'Hilgert, J. (2020). Titu Andreescu und Vlad Crisan: Mathematical Induction – A powerful and elegant method of proof. XYZ Press 2017 und Florian André Dalwigk: Vollständige Induktion – Beispiele und Aufgaben bis zum Umfallen. Springer Spektrum 2019. In Mathematische Semesterberichte (Vol. 67, pp. 301–305). https://doi.org/10.1007/s00591-020-00282-4' bibtex: '@article{Hilgert_2020, title={Titu Andreescu und Vlad Crisan: Mathematical Induction – A powerful and elegant method of proof. XYZ Press 2017 und Florian André Dalwigk: Vollständige Induktion – Beispiele und Aufgaben bis zum Umfallen. Springer Spektrum 2019}, volume={67}, DOI={10.1007/s00591-020-00282-4}, journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2020}, pages={301–305} }' chicago: 'Hilgert, Joachim. “Titu Andreescu Und Vlad Crisan: Mathematical Induction – A Powerful and Elegant Method of Proof. XYZ Press 2017 Und Florian André Dalwigk: Vollständige Induktion – Beispiele Und Aufgaben Bis Zum Umfallen. Springer Spektrum 2019.” Mathematische Semesterberichte, 2020. https://doi.org/10.1007/s00591-020-00282-4.' ieee: 'J. Hilgert, “Titu Andreescu und Vlad Crisan: Mathematical Induction – A powerful and elegant method of proof. XYZ Press 2017 und Florian André Dalwigk: Vollständige Induktion – Beispiele und Aufgaben bis zum Umfallen. Springer Spektrum 2019,” Mathematische Semesterberichte, vol. 67. pp. 301–305, 2020, doi: 10.1007/s00591-020-00282-4.' mla: 'Hilgert, Joachim. “Titu Andreescu Und Vlad Crisan: Mathematical Induction – A Powerful and Elegant Method of Proof. XYZ Press 2017 Und Florian André Dalwigk: Vollständige Induktion – Beispiele Und Aufgaben Bis Zum Umfallen. Springer Spektrum 2019.” Mathematische Semesterberichte, vol. 67, 2020, pp. 301–305, doi:10.1007/s00591-020-00282-4.' short: J. Hilgert, Mathematische Semesterberichte 67 (2020) 301–305. date_created: 2024-02-20T10:01:02Z date_updated: 2024-02-20T10:03:50Z department: - _id: '91' doi: 10.1007/s00591-020-00282-4 intvolume: ' 67' language: - iso: eng page: 301–305 publication: Mathematische Semesterberichte publication_status: published status: public title: 'Titu Andreescu und Vlad Crisan: Mathematical Induction – A powerful and elegant method of proof. XYZ Press 2017 und Florian André Dalwigk: Vollständige Induktion – Beispiele und Aufgaben bis zum Umfallen. Springer Spektrum 2019' type: review user_id: '49063' volume: 67 year: '2020' ... --- _id: '51557' author: - first_name: Joachim full_name: Hilgert, Joachim id: '220' last_name: Hilgert citation: ama: 'Hilgert J. Fabio Toscano: The Secret Formula – How a Mathematical Duel Inflamed Renaissance Italy and Uncovered the Cubic Equation. Princeton University Press 2020. Mathematische Semesterberichte. 2020;67:307–309. doi:10.1007/s00591-020-00283-3' apa: 'Hilgert, J. (2020). Fabio Toscano: The Secret Formula – How a Mathematical Duel Inflamed Renaissance Italy and Uncovered the Cubic Equation. Princeton University Press 2020. In Mathematische Semesterberichte (Vol. 67, pp. 307–309). https://doi.org/10.1007/s00591-020-00283-3' bibtex: '@article{Hilgert_2020, title={Fabio Toscano: The Secret Formula – How a Mathematical Duel Inflamed Renaissance Italy and Uncovered the Cubic Equation. Princeton University Press 2020}, volume={67}, DOI={10.1007/s00591-020-00283-3}, journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2020}, pages={307–309} }' chicago: 'Hilgert, Joachim. “Fabio Toscano: The Secret Formula – How a Mathematical Duel Inflamed Renaissance Italy and Uncovered the Cubic Equation. Princeton University Press 2020.” Mathematische Semesterberichte, 2020. https://doi.org/10.1007/s00591-020-00283-3.' ieee: 'J. Hilgert, “Fabio Toscano: The Secret Formula – How a Mathematical Duel Inflamed Renaissance Italy and Uncovered the Cubic Equation. Princeton University Press 2020,” Mathematische Semesterberichte, vol. 67. pp. 307–309, 2020, doi: 10.1007/s00591-020-00283-3.' mla: 'Hilgert, Joachim. “Fabio Toscano: The Secret Formula – How a Mathematical Duel Inflamed Renaissance Italy and Uncovered the Cubic Equation. Princeton University Press 2020.” Mathematische Semesterberichte, vol. 67, 2020, pp. 307–309, doi:10.1007/s00591-020-00283-3.' short: J. Hilgert, Mathematische Semesterberichte 67 (2020) 307–309. date_created: 2024-02-20T09:53:55Z date_updated: 2024-02-20T10:03:46Z department: - _id: '91' doi: 10.1007/s00591-020-00283-3 intvolume: ' 67' language: - iso: eng page: 307–309 publication: Mathematische Semesterberichte publication_status: published status: public title: 'Fabio Toscano: The Secret Formula – How a Mathematical Duel Inflamed Renaissance Italy and Uncovered the Cubic Equation. Princeton University Press 2020' type: review user_id: '49063' volume: 67 year: '2020' ... --- _id: '51561' author: - first_name: Joachim full_name: Hilgert, Joachim id: '220' last_name: Hilgert citation: ama: 'Hilgert J. Robert Bosch: OPT ART – From Mathematical Optimization to Visual Design. Princeton University Press 2019. Mathematische Semesterberichte. 2020;67:123–124. doi:10.1007/s00591-020-00272-6' apa: 'Hilgert, J. (2020). Robert Bosch: OPT ART – From Mathematical Optimization to Visual Design. Princeton University Press 2019. In Mathematische Semesterberichte (Vol. 67, pp. 123–124). https://doi.org/10.1007/s00591-020-00272-6' bibtex: '@article{Hilgert_2020, title={Robert Bosch: OPT ART – From Mathematical Optimization to Visual Design. Princeton University Press 2019}, volume={67}, DOI={10.1007/s00591-020-00272-6}, journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2020}, pages={123–124} }' chicago: 'Hilgert, Joachim. “Robert Bosch: OPT ART – From Mathematical Optimization to Visual Design. Princeton University Press 2019.” Mathematische Semesterberichte, 2020. https://doi.org/10.1007/s00591-020-00272-6.' ieee: 'J. Hilgert, “Robert Bosch: OPT ART – From Mathematical Optimization to Visual Design. Princeton University Press 2019,” Mathematische Semesterberichte, vol. 67. pp. 123–124, 2020, doi: 10.1007/s00591-020-00272-6.' mla: 'Hilgert, Joachim. “Robert Bosch: OPT ART – From Mathematical Optimization to Visual Design. Princeton University Press 2019.” Mathematische Semesterberichte, vol. 67, 2020, pp. 123–124, doi:10.1007/s00591-020-00272-6.' short: J. Hilgert, Mathematische Semesterberichte 67 (2020) 123–124. date_created: 2024-02-20T10:03:14Z date_updated: 2024-02-20T10:04:02Z department: - _id: '91' doi: 10.1007/s00591-020-00272-6 intvolume: ' 67' language: - iso: eng page: 123–124 publication: Mathematische Semesterberichte publication_status: published status: public title: 'Robert Bosch: OPT ART – From Mathematical Optimization to Visual Design. Princeton University Press 2019' type: review user_id: '49063' volume: 67 year: '2020' ... --- _id: '51560' author: - first_name: Joachim full_name: Hilgert, Joachim id: '220' last_name: Hilgert citation: ama: 'Hilgert J. David M. Bressoud: Calculus Reordered -- A History of the Big Ideas. Princeton University Press 2019. Mathematische Semesterberichte. 2020;67:297–299. doi:10.1007/s00591-020-00280-6' apa: 'Hilgert, J. (2020). David M. Bressoud: Calculus Reordered -- A History of the Big Ideas. Princeton University Press 2019. In Mathematische Semesterberichte (Vol. 67, pp. 297–299). https://doi.org/10.1007/s00591-020-00280-6' bibtex: '@article{Hilgert_2020, title={David M. Bressoud: Calculus Reordered -- A History of the Big Ideas. Princeton University Press 2019}, volume={67}, DOI={10.1007/s00591-020-00280-6}, journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2020}, pages={297–299} }' chicago: 'Hilgert, Joachim. “David M. Bressoud: Calculus Reordered -- A History of the Big Ideas. Princeton University Press 2019.” Mathematische Semesterberichte, 2020. https://doi.org/10.1007/s00591-020-00280-6.' ieee: 'J. Hilgert, “David M. Bressoud: Calculus Reordered -- A History of the Big Ideas. Princeton University Press 2019,” Mathematische Semesterberichte, vol. 67. pp. 297–299, 2020, doi: 10.1007/s00591-020-00280-6.' mla: 'Hilgert, Joachim. “David M. Bressoud: Calculus Reordered -- A History of the Big Ideas. Princeton University Press 2019.” Mathematische Semesterberichte, vol. 67, 2020, pp. 297–299, doi:10.1007/s00591-020-00280-6.' short: J. Hilgert, Mathematische Semesterberichte 67 (2020) 297–299. date_created: 2024-02-20T10:02:16Z date_updated: 2024-02-20T10:03:56Z department: - _id: '91' doi: 10.1007/s00591-020-00280-6 intvolume: ' 67' language: - iso: eng page: 297–299 publication: Mathematische Semesterberichte publication_status: published status: public title: 'David M. Bressoud: Calculus Reordered -- A History of the Big Ideas. Princeton University Press 2019' type: review user_id: '49063' volume: 67 year: '2020' ... --- _id: '51564' author: - first_name: Joachim full_name: Hilgert, Joachim id: '220' last_name: Hilgert citation: ama: 'Hilgert J. Daniel Grieser: Mathematisches Problemlösen und Beweisen – Eine Entdeckungsreise in die Mathematik. 2. Auflage (Springer 2017). Mathematische Semesterberichte. 2020;67:97–98. doi:10.1007/s00591-019-00254-3' apa: 'Hilgert, J. (2020). Daniel Grieser: Mathematisches Problemlösen und Beweisen – Eine Entdeckungsreise in die Mathematik. 2. Auflage (Springer 2017). In Mathematische Semesterberichte (Vol. 67, pp. 97–98). https://doi.org/10.1007/s00591-019-00254-3' bibtex: '@article{Hilgert_2020, title={Daniel Grieser: Mathematisches Problemlösen und Beweisen – Eine Entdeckungsreise in die Mathematik. 2. Auflage (Springer 2017)}, volume={67}, DOI={10.1007/s00591-019-00254-3}, journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2020}, pages={97–98} }' chicago: 'Hilgert, Joachim. “Daniel Grieser: Mathematisches Problemlösen und Beweisen – Eine Entdeckungsreise in die Mathematik. 2. Auflage (Springer 2017).” Mathematische Semesterberichte, 2020. https://doi.org/10.1007/s00591-019-00254-3.' ieee: 'J. Hilgert, “Daniel Grieser: Mathematisches Problemlösen und Beweisen – Eine Entdeckungsreise in die Mathematik. 2. Auflage (Springer 2017),” Mathematische Semesterberichte, vol. 67. pp. 97–98, 2020, doi: 10.1007/s00591-019-00254-3.' mla: 'Hilgert, Joachim. “Daniel Grieser: Mathematisches Problemlösen und Beweisen – Eine Entdeckungsreise in die Mathematik. 2. Auflage (Springer 2017).” Mathematische Semesterberichte, vol. 67, 2020, pp. 97–98, doi:10.1007/s00591-019-00254-3.' short: J. Hilgert, Mathematische Semesterberichte 67 (2020) 97–98. date_created: 2024-02-20T10:06:36Z date_updated: 2024-02-20T10:10:24Z department: - _id: '91' doi: 10.1007/s00591-019-00254-3 intvolume: ' 67' language: - iso: ger page: 97–98 publication: Mathematische Semesterberichte publication_status: published status: public title: 'Daniel Grieser: Mathematisches Problemlösen und Beweisen – Eine Entdeckungsreise in die Mathematik. 2. Auflage (Springer 2017)' type: review user_id: '49063' volume: 67 year: '2020' ... --- _id: '51563' author: - first_name: Joachim full_name: Hilgert, Joachim last_name: Hilgert citation: ama: 'Hilgert J. Claas Lattmann: Mathematische Modellierung bai Platon zwischen Thales und Euklid (De Gruyter 2019). Mathematische Semesterberichte. 2020;67:109–111. doi:10.1007/s00591-019-00254-3' apa: 'Hilgert, J. (2020). Claas Lattmann: Mathematische Modellierung bai Platon zwischen Thales und Euklid (De Gruyter 2019). In Mathematische Semesterberichte (Vol. 67, pp. 109–111). https://doi.org/10.1007/s00591-019-00254-3' bibtex: '@article{Hilgert_2020, title={Claas Lattmann: Mathematische Modellierung bai Platon zwischen Thales und Euklid (De Gruyter 2019)}, volume={67}, DOI={10.1007/s00591-019-00254-3}, journal={Mathematische Semesterberichte}, author={Hilgert, Joachim}, year={2020}, pages={109–111} }' chicago: 'Hilgert, Joachim. “Claas Lattmann: Mathematische Modellierung bai Platon zwischen Thales und Euklid (De Gruyter 2019).” Mathematische Semesterberichte, 2020. https://doi.org/10.1007/s00591-019-00254-3.' ieee: 'J. Hilgert, “Claas Lattmann: Mathematische Modellierung bai Platon zwischen Thales und Euklid (De Gruyter 2019),” Mathematische Semesterberichte, vol. 67. pp. 109–111, 2020, doi: 10.1007/s00591-019-00254-3.' mla: 'Hilgert, Joachim. “Claas Lattmann: Mathematische Modellierung bai Platon zwischen Thales und Euklid (De Gruyter 2019).” Mathematische Semesterberichte, vol. 67, 2020, pp. 109–111, doi:10.1007/s00591-019-00254-3.' short: J. Hilgert, Mathematische Semesterberichte 67 (2020) 109–111. date_created: 2024-02-20T10:05:17Z date_updated: 2024-02-20T10:10:28Z department: - _id: '91' doi: 10.1007/s00591-019-00254-3 intvolume: ' 67' language: - iso: ger page: 109–111 publication: Mathematische Semesterberichte publication_status: published status: public title: 'Claas Lattmann: Mathematische Modellierung bai Platon zwischen Thales und Euklid (De Gruyter 2019)' type: review user_id: '49063' volume: 67 year: '2020' ... --- _id: '19945' abstract: - lang: eng text: Many PDEs (Burgers' equation, KdV, Camassa-Holm, Euler's fluid equations, …) can be formulated as infinite-dimensional Lie-Poisson systems. These are Hamiltonian systems on manifolds equipped with Poisson brackets. The Poisson structure is connected to conservation properties and other geometric features of solutions to the PDE and, therefore, of great interest for numerical integration. For the example of Burgers' equations and related PDEs we use Clebsch variables to lift the original system to a collective Hamiltonian system on a symplectic manifold whose structure is related to the original Lie-Poisson structure. On the collective Hamiltonian system a symplectic integrator can be applied. Our numerical examples show excellent conservation properties and indicate that the disadvantage of an increased phase-space dimension can be outweighed by the advantage of symplectic integration. article_type: original author: - first_name: Robert I full_name: McLachlan, Robert I last_name: McLachlan - first_name: Christian full_name: Offen, Christian id: '85279' last_name: Offen orcid: https://orcid.org/0000-0002-5940-8057 - first_name: Benjamin K full_name: Tapley, Benjamin K last_name: Tapley citation: ama: McLachlan RI, Offen C, Tapley BK. Symplectic integration of PDEs using Clebsch variables. Journal of Computational Dynamics. 2019;6(1):111-130. doi:10.3934/jcd.2019005 apa: McLachlan, R. I., Offen, C., & Tapley, B. K. (2019). Symplectic integration of PDEs using Clebsch variables. Journal of Computational Dynamics, 6(1), 111–130. https://doi.org/10.3934/jcd.2019005 bibtex: '@article{McLachlan_Offen_Tapley_2019, title={Symplectic integration of PDEs using Clebsch variables}, volume={6}, DOI={10.3934/jcd.2019005}, number={1}, journal={Journal of Computational Dynamics}, publisher={American Institute of Mathematical Sciences (AIMS)}, author={McLachlan, Robert I and Offen, Christian and Tapley, Benjamin K}, year={2019}, pages={111–130} }' chicago: 'McLachlan, Robert I, Christian Offen, and Benjamin K Tapley. “Symplectic Integration of PDEs Using Clebsch Variables.” Journal of Computational Dynamics 6, no. 1 (2019): 111–30. https://doi.org/10.3934/jcd.2019005.' ieee: 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. mla: 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. short: R.I. McLachlan, C. Offen, B.K. Tapley, Journal of Computational Dynamics 6 (2019) 111–130. date_created: 2020-10-06T16:44:07Z date_updated: 2022-01-06T06:54:15Z department: - _id: '636' doi: 10.3934/jcd.2019005 extern: '1' intvolume: ' 6' issue: '1' language: - iso: eng main_file_link: - open_access: '1' url: http://www.aimsciences.org/article/doi/10.3934/jcd.2019005 oa: '1' page: 111-130 publication: Journal of Computational Dynamics publication_identifier: issn: - 2158-2505 publisher: American Institute of Mathematical Sciences (AIMS) status: public title: Symplectic integration of PDEs using Clebsch variables type: journal_article user_id: '85279' volume: 6 year: '2019' ... --- _id: '21944' article_number: '044116' author: - first_name: Feliks full_name: Nüske, Feliks id: '81513' last_name: Nüske orcid: 0000-0003-2444-7889 - first_name: Lorenzo full_name: Boninsegna, Lorenzo last_name: Boninsegna - first_name: Cecilia full_name: Clementi, Cecilia last_name: Clementi citation: ama: Nüske F, Boninsegna L, Clementi C. Coarse-graining molecular systems by spectral matching. The Journal of Chemical Physics. 2019. doi:10.1063/1.5100131 apa: Nüske, F., Boninsegna, L., & Clementi, C. (2019). Coarse-graining molecular systems by spectral matching. The Journal of Chemical Physics. https://doi.org/10.1063/1.5100131 bibtex: '@article{Nüske_Boninsegna_Clementi_2019, title={Coarse-graining molecular systems by spectral matching}, DOI={10.1063/1.5100131}, number={044116}, journal={The Journal of Chemical Physics}, author={Nüske, Feliks and Boninsegna, Lorenzo and Clementi, Cecilia}, year={2019} }' chicago: Nüske, Feliks, Lorenzo Boninsegna, and Cecilia Clementi. “Coarse-Graining Molecular Systems by Spectral Matching.” The Journal of Chemical Physics, 2019. https://doi.org/10.1063/1.5100131. ieee: F. Nüske, L. Boninsegna, and C. Clementi, “Coarse-graining molecular systems by spectral matching,” The Journal of Chemical Physics, 2019. mla: Nüske, Feliks, et al. “Coarse-Graining Molecular Systems by Spectral Matching.” The Journal of Chemical Physics, 044116, 2019, doi:10.1063/1.5100131. short: F. Nüske, L. Boninsegna, C. Clementi, The Journal of Chemical Physics (2019). date_created: 2021-04-30T17:01:13Z date_updated: 2022-01-06T06:55:20Z department: - _id: '101' doi: 10.1063/1.5100131 extern: '1' language: - iso: eng publication: The Journal of Chemical Physics publication_identifier: issn: - 0021-9606 - 1089-7690 publication_status: published status: public title: Coarse-graining molecular systems by spectral matching type: journal_article user_id: '81513' year: '2019' ... --- _id: '8577' author: - first_name: Christiane full_name: Kuklinski, Christiane last_name: Kuklinski - first_name: Elena full_name: Leis, Elena last_name: Leis - first_name: Michael full_name: Liebendörfer, Michael last_name: Liebendörfer - first_name: Reinhard full_name: Hochmuth, Reinhard last_name: Hochmuth citation: ama: 'Kuklinski C, Leis E, Liebendörfer M, Hochmuth R. Erklärung von Mathematikleistung im Ingenieursstudium. In: Beiträge Zum Mathematikunterricht 2019. ; 2019.' apa: Kuklinski, C., Leis, E., Liebendörfer, M., & Hochmuth, R. (2019). Erklärung von Mathematikleistung im Ingenieursstudium. In Beiträge zum Mathematikunterricht 2019. bibtex: '@inbook{Kuklinski_Leis_Liebendörfer_Hochmuth_2019, title={Erklärung von Mathematikleistung im Ingenieursstudium}, booktitle={Beiträge zum Mathematikunterricht 2019}, author={Kuklinski, Christiane and Leis, Elena and Liebendörfer, Michael and Hochmuth, Reinhard}, year={2019} }' chicago: Kuklinski, Christiane, Elena Leis, Michael Liebendörfer, and Reinhard Hochmuth. “Erklärung von Mathematikleistung Im Ingenieursstudium.” In Beiträge Zum Mathematikunterricht 2019, 2019. ieee: C. Kuklinski, E. Leis, M. Liebendörfer, and R. Hochmuth, “Erklärung von Mathematikleistung im Ingenieursstudium,” in Beiträge zum Mathematikunterricht 2019, 2019. mla: Kuklinski, Christiane, et al. “Erklärung von Mathematikleistung Im Ingenieursstudium.” Beiträge Zum Mathematikunterricht 2019, 2019. short: 'C. Kuklinski, E. Leis, M. Liebendörfer, R. Hochmuth, in: Beiträge Zum Mathematikunterricht 2019, 2019.' date_created: 2019-03-25T15:35:44Z date_updated: 2022-01-06T07:03:57Z department: - _id: '10' language: - iso: eng publication: Beiträge zum Mathematikunterricht 2019 status: public title: Erklärung von Mathematikleistung im Ingenieursstudium type: book_chapter user_id: '30933' year: '2019' ... --- _id: '16709' author: - first_name: Tuhin full_name: Sahai, Tuhin last_name: Sahai - first_name: Adrian full_name: Ziessler, Adrian last_name: Ziessler - first_name: Stefan full_name: Klus, Stefan last_name: Klus - first_name: Michael full_name: Dellnitz, Michael last_name: Dellnitz citation: ama: Sahai T, Ziessler A, Klus S, Dellnitz M. Continuous relaxations for the traveling salesman problem. Nonlinear Dynamics. 2019. doi:10.1007/s11071-019-05092-5 apa: Sahai, T., Ziessler, A., Klus, S., & Dellnitz, M. (2019). Continuous relaxations for the traveling salesman problem. Nonlinear Dynamics. https://doi.org/10.1007/s11071-019-05092-5 bibtex: '@article{Sahai_Ziessler_Klus_Dellnitz_2019, title={Continuous relaxations for the traveling salesman problem}, DOI={10.1007/s11071-019-05092-5}, journal={Nonlinear Dynamics}, author={Sahai, Tuhin and Ziessler, Adrian and Klus, Stefan and Dellnitz, Michael}, year={2019} }' chicago: Sahai, Tuhin, Adrian Ziessler, Stefan Klus, and Michael Dellnitz. “Continuous Relaxations for the Traveling Salesman Problem.” Nonlinear Dynamics, 2019. https://doi.org/10.1007/s11071-019-05092-5. ieee: T. Sahai, A. Ziessler, S. Klus, and M. Dellnitz, “Continuous relaxations for the traveling salesman problem,” Nonlinear Dynamics, 2019. mla: Sahai, Tuhin, et al. “Continuous Relaxations for the Traveling Salesman Problem.” Nonlinear Dynamics, 2019, doi:10.1007/s11071-019-05092-5. short: T. Sahai, A. Ziessler, S. Klus, M. Dellnitz, Nonlinear Dynamics (2019). date_created: 2020-04-16T14:05:04Z date_updated: 2022-01-06T06:52:55Z department: - _id: '101' doi: 10.1007/s11071-019-05092-5 language: - iso: eng publication: Nonlinear Dynamics publication_identifier: issn: - 0924-090X - 1573-269X publication_status: published status: public title: Continuous relaxations for the traveling salesman problem type: journal_article user_id: '47427' year: '2019' ... --- _id: '10593' abstract: - lang: eng text: We present a new framework for optimal and feedback control of PDEs using Koopman operator-based reduced order models (K-ROMs). The Koopman operator is a linear but infinite-dimensional operator which describes the dynamics of observables. A numerical approximation of the Koopman operator therefore yields a linear system for the observation of an autonomous dynamical system. In our approach, by introducing a finite number of constant controls, the dynamic control system is transformed into a set of autonomous systems and the corresponding optimal control problem into a switching time optimization problem. This allows us to replace each of these systems by a K-ROM which can be solved orders of magnitude faster. By this approach, a nonlinear infinite-dimensional control problem is transformed into a low-dimensional linear problem. Using a recent convergence result for the numerical approximation via Extended Dynamic Mode Decomposition (EDMD), we show that the value of the K-ROM based objective function converges in measure to the value of the full objective function. To illustrate the results, we consider the 1D Burgers equation and the 2D Navier–Stokes equations. The numerical experiments show remarkable performance concerning both solution times and accuracy. article_type: original author: - first_name: Sebastian full_name: Peitz, Sebastian id: '47427' last_name: Peitz orcid: https://orcid.org/0000-0002-3389-793X - first_name: Stefan full_name: Klus, Stefan last_name: Klus citation: ama: Peitz S, Klus S. Koopman operator-based model reduction for switched-system control of PDEs. Automatica. 2019;106:184-191. doi:10.1016/j.automatica.2019.05.016 apa: Peitz, S., & Klus, S. (2019). Koopman operator-based model reduction for switched-system control of PDEs. Automatica, 106, 184–191. https://doi.org/10.1016/j.automatica.2019.05.016 bibtex: '@article{Peitz_Klus_2019, title={Koopman operator-based model reduction for switched-system control of PDEs}, volume={106}, DOI={10.1016/j.automatica.2019.05.016}, journal={Automatica}, author={Peitz, Sebastian and Klus, Stefan}, year={2019}, pages={184–191} }' chicago: 'Peitz, Sebastian, and Stefan Klus. “Koopman Operator-Based Model Reduction for Switched-System Control of PDEs.” Automatica 106 (2019): 184–91. https://doi.org/10.1016/j.automatica.2019.05.016.' ieee: S. Peitz and S. Klus, “Koopman operator-based model reduction for switched-system control of PDEs,” Automatica, vol. 106, pp. 184–191, 2019. mla: 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. short: S. Peitz, S. Klus, Automatica 106 (2019) 184–191. date_created: 2019-07-10T08:08:16Z date_updated: 2022-01-06T06:50:46Z department: - _id: '101' doi: 10.1016/j.automatica.2019.05.016 intvolume: ' 106' language: - iso: eng page: 184-191 publication: Automatica publication_identifier: issn: - 0005-1098 publication_status: published status: public title: Koopman operator-based model reduction for switched-system control of PDEs type: journal_article user_id: '47427' volume: 106 year: '2019' ... --- _id: '10595' abstract: - lang: eng text: In this article we show that the boundary of the Pareto critical set of an unconstrained multiobjective optimization problem (MOP) consists of Pareto critical points of subproblems where only a subset of the set of objective functions is taken into account. If the Pareto critical set is completely described by its boundary (e.g., if we have more objective functions than dimensions in decision space), then this can be used to efficiently solve the MOP by solving a number of MOPs with fewer objective functions. If this is not the case, the results can still give insight into the structure of the Pareto critical set. article_type: original author: - first_name: Bennet full_name: Gebken, Bennet id: '32643' last_name: Gebken - first_name: Sebastian full_name: Peitz, Sebastian id: '47427' last_name: Peitz orcid: https://orcid.org/0000-0002-3389-793X - first_name: Michael full_name: Dellnitz, Michael last_name: Dellnitz citation: ama: Gebken B, Peitz S, Dellnitz M. On the hierarchical structure of Pareto critical sets. Journal of Global Optimization. 2019;73(4):891-913. doi:10.1007/s10898-019-00737-6 apa: Gebken, B., Peitz, S., & Dellnitz, M. (2019). On the hierarchical structure of Pareto critical sets. Journal of Global Optimization, 73(4), 891–913. https://doi.org/10.1007/s10898-019-00737-6 bibtex: '@article{Gebken_Peitz_Dellnitz_2019, title={On the hierarchical structure of Pareto critical sets}, volume={73}, DOI={10.1007/s10898-019-00737-6}, number={4}, journal={Journal of Global Optimization}, author={Gebken, Bennet and Peitz, Sebastian and Dellnitz, Michael}, year={2019}, pages={891–913} }' chicago: 'Gebken, Bennet, Sebastian Peitz, and Michael Dellnitz. “On the Hierarchical Structure of Pareto Critical Sets.” Journal of Global Optimization 73, no. 4 (2019): 891–913. https://doi.org/10.1007/s10898-019-00737-6.' ieee: 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. mla: 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. short: B. Gebken, S. Peitz, M. Dellnitz, Journal of Global Optimization 73 (2019) 891–913. date_created: 2019-07-10T08:13:31Z date_updated: 2022-01-06T06:50:46Z department: - _id: '101' doi: 10.1007/s10898-019-00737-6 intvolume: ' 73' issue: '4' language: - iso: eng page: 891-913 publication: Journal of Global Optimization publication_identifier: issn: - 0925-5001 - 1573-2916 publication_status: published status: public title: On the hierarchical structure of Pareto critical sets type: journal_article user_id: '47427' volume: 73 year: '2019' ... --- _id: '10597' abstract: - lang: eng text: In comparison to classical control approaches in the field of electrical drives like the field-oriented control (FOC), model predictive control (MPC) approaches are able to provide a higher control performance. This refers to shorter settling times, lower overshoots, and a better decoupling of control variables in case of multi-variable controls. However, this can only be achieved if the used prediction model covers the actual behavior of the plant sufficiently well. In case of model deviations, the performance utilizing MPC remains below its potential. This results in effects like increased current ripple or steady state setpoint deviations. In order to achieve a high control performance, it is therefore necessary to adapt the model to the real plant behavior. When using an online system identification, a less accurate model is sufficient for commissioning of the drive system. In this paper, the combination of a finite-control-set MPC (FCS-MPC) with a system identification is proposed. The method does not require high-frequency signal injection, but uses the measured values already required for the FCS-MPC. An evaluation of the least squares-based identification on a laboratory test bench showed that the model accuracy and thus the control performance could be improved by an online update of the prediction models. author: - first_name: Soren full_name: Hanke, Soren last_name: Hanke - first_name: Sebastian full_name: Peitz, Sebastian id: '47427' last_name: Peitz orcid: https://orcid.org/0000-0002-3389-793X - first_name: Oliver full_name: Wallscheid, Oliver last_name: Wallscheid - first_name: Joachim full_name: Böcker, Joachim last_name: Böcker - first_name: Michael full_name: Dellnitz, Michael last_name: Dellnitz citation: ama: 'Hanke S, Peitz S, Wallscheid O, Böcker J, Dellnitz M. 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. doi:10.1109/precede.2019.8753313' apa: Hanke, S., Peitz, S., Wallscheid, O., Böcker, J., & Dellnitz, M. (2019). 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). https://doi.org/10.1109/precede.2019.8753313 bibtex: '@inproceedings{Hanke_Peitz_Wallscheid_Böcker_Dellnitz_2019, title={Finite-Control-Set Model Predictive Control for a Permanent Magnet Synchronous Motor Application with Online Least Squares System Identification}, DOI={10.1109/precede.2019.8753313}, booktitle={2019 IEEE International Symposium on Predictive Control of Electrical Drives and Power Electronics (PRECEDE)}, author={Hanke, Soren and Peitz, Sebastian and Wallscheid, Oliver and Böcker, Joachim and Dellnitz, Michael}, year={2019} }' chicago: Hanke, Soren, Sebastian Peitz, Oliver Wallscheid, Joachim Böcker, and Michael 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. https://doi.org/10.1109/precede.2019.8753313. ieee: 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. mla: 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. short: 'S. Hanke, S. Peitz, O. Wallscheid, J. Böcker, M. Dellnitz, in: 2019 IEEE International Symposium on Predictive Control of Electrical Drives and Power Electronics (PRECEDE), 2019.' date_created: 2019-07-10T08:15:23Z date_updated: 2022-01-06T06:50:46Z department: - _id: '101' doi: 10.1109/precede.2019.8753313 language: - iso: eng publication: 2019 IEEE International Symposium on Predictive Control of Electrical Drives and Power Electronics (PRECEDE) publication_identifier: isbn: - '9781538694145' publication_status: published status: public title: Finite-Control-Set Model Predictive Control for a Permanent Magnet Synchronous Motor Application with Online Least Squares System Identification type: conference user_id: '47427' year: '2019' ... --- _id: '13106' author: - first_name: Jan full_name: Schumacher, Jan id: '26809' last_name: Schumacher orcid: 0000-0002-6676-9774 citation: ama: 'Schumacher J. Rekonstruktion diagrammatischen Schließens am Beispiel der Subtraktion negativer Zahlen. In: Beiträge zum Mathematikunterricht 2019.' apa: Schumacher, J. (n.d.). Rekonstruktion diagrammatischen Schließens am Beispiel der Subtraktion negativer Zahlen. In Beiträge zum Mathematikunterricht 2019. Regensburg. bibtex: '@inproceedings{Schumacher, title={Rekonstruktion diagrammatischen Schließens am Beispiel der Subtraktion negativer Zahlen}, booktitle={Beiträge zum Mathematikunterricht 2019}, author={Schumacher, Jan} }' chicago: Schumacher, Jan. “Rekonstruktion diagrammatischen Schließens am Beispiel der Subtraktion negativer Zahlen.” In Beiträge zum Mathematikunterricht 2019, n.d. ieee: J. Schumacher, “Rekonstruktion diagrammatischen Schließens am Beispiel der Subtraktion negativer Zahlen,” in Beiträge zum Mathematikunterricht 2019, Regensburg. mla: Schumacher, Jan. “Rekonstruktion diagrammatischen Schließens am Beispiel der Subtraktion negativer Zahlen.” Beiträge zum Mathematikunterricht 2019. short: 'J. Schumacher, in: Beiträge zum Mathematikunterricht 2019, n.d.' conference: location: Regensburg name: 53. Jahrestagung der Gesellschaft für Didaktik der Mathematik date_created: 2019-08-30T11:58:37Z date_updated: 2022-01-06T06:51:28Z department: - _id: '360' - _id: '98' language: - iso: ger publication: Beiträge zum Mathematikunterricht 2019 publication_status: inpress status: public title: Rekonstruktion diagrammatischen Schließens am Beispiel der Subtraktion negativer Zahlen type: conference user_id: '26809' year: '2019' ... --- _id: '13107' abstract: - lang: eng text: In this paper, we first outline a Hypothetical Learning Trajectory (HLT), which aims at a formal understanding of the rules for manipulating integers. The HLT is based on task formats, which promote algebraic thinking in terms of generalizing rules from the analysis of patterns and should be familiar to students from their mathematics education experiences in elementary school. Second, we analyze two students' actual learning process based on Peircean semiotics. The analysis shows that the actual learning process diverges from the hypothesized learning process in that the students do not relate the different levels of the diagrams in a way that allows them to extrapolate the rule for the subtraction of negative numbers. Based on this finding, we point out consequences for the design of the tasks. author: - first_name: Jan full_name: Schumacher, Jan id: '26809' last_name: Schumacher orcid: 0000-0002-6676-9774 - first_name: Sebastian full_name: Rezat, Sebastian last_name: Rezat citation: ama: 'Schumacher J, Rezat S. A Hypothetical Learning Trajectory for the Learning of the Rules for Manipulating Integers. In: Jankvist UT, Van den Heuvel-Panhuizen M, Veldhuis M, eds. Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education (CERME11, February 6 – 10, 2019). Utrecht, the Netherlands: Freudenthal Group & Freudenthal Institute, Utrecht University and ERME.' apa: 'Schumacher, J., & Rezat, S. (n.d.). A Hypothetical Learning Trajectory for the Learning of the Rules for Manipulating Integers. In U. T. Jankvist, M. Van den Heuvel-Panhuizen, & M. Veldhuis (Eds.), Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education (CERME11, February 6 – 10, 2019). Utrecht, the Netherlands: Freudenthal Group & Freudenthal Institute, Utrecht University and ERME.' bibtex: '@inproceedings{Schumacher_Rezat, place={Utrecht, the Netherlands}, title={A Hypothetical Learning Trajectory for the Learning of the Rules for Manipulating Integers}, booktitle={Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education (CERME11, February 6 – 10, 2019)}, publisher={Freudenthal Group & Freudenthal Institute, Utrecht University and ERME}, author={Schumacher, Jan and Rezat, Sebastian}, editor={Jankvist, Uffe Thomas and Van den Heuvel-Panhuizen, Marja and Veldhuis, MichielEditors} }' chicago: 'Schumacher, Jan, and Sebastian 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), edited by Uffe Thomas Jankvist, Marja Van den Heuvel-Panhuizen, and Michiel Veldhuis. Utrecht, the Netherlands: Freudenthal Group & Freudenthal Institute, Utrecht University and ERME, n.d.' ieee: 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. mla: 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. short: 'J. Schumacher, S. Rezat, in: U.T. Jankvist, M. Van den Heuvel-Panhuizen, M. Veldhuis (Eds.), Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education (CERME11, February 6 – 10, 2019), Freudenthal Group & Freudenthal Institute, Utrecht University and ERME, Utrecht, the Netherlands, n.d.' conference: end_date: 2019-02-10 location: Utrecht name: CERME 11 start_date: 2019-02-06 date_created: 2019-08-30T12:00:50Z date_updated: 2022-01-06T06:51:28Z department: - _id: '360' - _id: '98' editor: - first_name: Uffe Thomas full_name: Jankvist, Uffe Thomas last_name: Jankvist - first_name: Marja full_name: Van den Heuvel-Panhuizen, Marja last_name: Van den Heuvel-Panhuizen - first_name: Michiel full_name: Veldhuis, Michiel last_name: Veldhuis keyword: - diagrammatic reasoning - hypothetical learning trajectory - induction extrapolatory method - integers - negative numbers - permanence principle - semiotics language: - iso: eng place: Utrecht, the Netherlands publication: Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education (CERME11, February 6 – 10, 2019) publication_status: accepted publisher: Freudenthal Group & Freudenthal Institute, Utrecht University and ERME quality_controlled: '1' status: public title: A Hypothetical Learning Trajectory for the Learning of the Rules for Manipulating Integers type: conference user_id: '26809' year: '2019' ...