[{"author":[{"id":"99409","full_name":"Schönherr, Johanna","last_name":"Schönherr","first_name":"Johanna"}],"title":"Selbst erstellte Skizzen beim mathematischen Modellieren: Ergebnisse einer empirischen Untersuchung [Self-generated drawings for modelling problems: Findings of an empirical study]","year":"2019","status":"public","date_updated":"2023-06-20T19:29:45Z","publication_status":"published","_id":"45331","publisher":"Springer Spektrum","language":[{"iso":"ger"}],"alternative_title":["(Studien zur theoretischen und empirischen Forschung in der Mathematikdidaktik)"],"user_id":"49063","citation":{"bibtex":"@book{Schönherr_2019, place={Wiesbaden}, title={Selbst erstellte Skizzen beim mathematischen Modellieren: Ergebnisse einer empirischen Untersuchung [Self-generated drawings for modelling problems: Findings of an empirical study]}, publisher={Springer Spektrum}, author={Schönherr, Johanna}, year={2019} }","ama":"Schönherr J. <i>Selbst erstellte Skizzen beim mathematischen Modellieren: Ergebnisse einer empirischen Untersuchung [Self-generated drawings for modelling problems: Findings of an empirical study]</i>. Springer Spektrum; 2019.","mla":"Schönherr, Johanna. <i>Selbst erstellte Skizzen beim mathematischen Modellieren: Ergebnisse einer empirischen Untersuchung [Self-generated drawings for modelling problems: Findings of an empirical study]</i>. Springer Spektrum, 2019.","short":"J. Schönherr, Selbst erstellte Skizzen beim mathematischen Modellieren: Ergebnisse einer empirischen Untersuchung [Self-generated drawings for modelling problems: Findings of an empirical study], Springer Spektrum, Wiesbaden, 2019.","chicago":"Schönherr, Johanna. <i>Selbst erstellte Skizzen beim mathematischen Modellieren: Ergebnisse einer empirischen Untersuchung [Self-generated drawings for modelling problems: Findings of an empirical study]</i>. Wiesbaden: Springer Spektrum, 2019.","ieee":"J. Schönherr, <i>Selbst erstellte Skizzen beim mathematischen Modellieren: Ergebnisse einer empirischen Untersuchung [Self-generated drawings for modelling problems: Findings of an empirical study]</i>. Wiesbaden: Springer Spektrum, 2019.","apa":"Schönherr, J. (2019). <i>Selbst erstellte Skizzen beim mathematischen Modellieren: Ergebnisse einer empirischen Untersuchung [Self-generated drawings for modelling problems: Findings of an empirical study]</i>. Springer Spektrum."},"extern":"1","place":"Wiesbaden","date_created":"2023-05-29T17:17:11Z","department":[{"_id":"97"}],"type":"book"},{"volume":25,"user_id":"15278","_id":"21","publisher":"Global Science Press","page":"564-585","status":"public","external_id":{"arxiv":["1703.02456"]},"project":[{"name":"Performance and Efficiency in HPC with Custom Computing","_id":"32","grant_number":"PL 595/2-1 / 320898746"},{"name":"Computing Resources Provided by the Paderborn Center for Parallel Computing","_id":"52"}],"quality_controlled":"1","citation":{"apa":"Richters, D., Lass, M., Walther, A., Plessl, C., &#38; Kühne, T. (2019). A General Algorithm to Calculate the Inverse Principal p-th Root of Symmetric Positive Definite Matrices. <i>Communications in Computational Physics</i>, <i>25</i>(2), 564–585. <a href=\"https://doi.org/10.4208/cicp.OA-2018-0053\">https://doi.org/10.4208/cicp.OA-2018-0053</a>","ieee":"D. Richters, M. Lass, A. Walther, C. Plessl, and T. Kühne, “A General Algorithm to Calculate the Inverse Principal p-th Root of Symmetric Positive Definite Matrices,” <i>Communications in Computational Physics</i>, vol. 25, no. 2, pp. 564–585, 2019, doi: <a href=\"https://doi.org/10.4208/cicp.OA-2018-0053\">10.4208/cicp.OA-2018-0053</a>.","short":"D. Richters, M. Lass, A. Walther, C. Plessl, T. Kühne, Communications in Computational Physics 25 (2019) 564–585.","chicago":"Richters, Dorothee, Michael Lass, Andrea Walther, Christian Plessl, and Thomas Kühne. “A General Algorithm to Calculate the Inverse Principal P-Th Root of Symmetric Positive Definite Matrices.” <i>Communications in Computational Physics</i> 25, no. 2 (2019): 564–85. <a href=\"https://doi.org/10.4208/cicp.OA-2018-0053\">https://doi.org/10.4208/cicp.OA-2018-0053</a>.","mla":"Richters, Dorothee, et al. “A General Algorithm to Calculate the Inverse Principal P-Th Root of Symmetric Positive Definite Matrices.” <i>Communications in Computational Physics</i>, vol. 25, no. 2, Global Science Press, 2019, pp. 564–85, doi:<a href=\"https://doi.org/10.4208/cicp.OA-2018-0053\">10.4208/cicp.OA-2018-0053</a>.","ama":"Richters D, Lass M, Walther A, Plessl C, Kühne T. A General Algorithm to Calculate the Inverse Principal p-th Root of Symmetric Positive Definite Matrices. <i>Communications in Computational Physics</i>. 2019;25(2):564-585. doi:<a href=\"https://doi.org/10.4208/cicp.OA-2018-0053\">10.4208/cicp.OA-2018-0053</a>","bibtex":"@article{Richters_Lass_Walther_Plessl_Kühne_2019, title={A General Algorithm to Calculate the Inverse Principal p-th Root of Symmetric Positive Definite Matrices}, volume={25}, DOI={<a href=\"https://doi.org/10.4208/cicp.OA-2018-0053\">10.4208/cicp.OA-2018-0053</a>}, number={2}, journal={Communications in Computational Physics}, publisher={Global Science Press}, author={Richters, Dorothee and Lass, Michael and Walther, Andrea and Plessl, Christian and Kühne, Thomas}, year={2019}, pages={564–585} }"},"doi":"10.4208/cicp.OA-2018-0053","language":[{"iso":"eng"}],"intvolume":"        25","date_updated":"2023-09-26T11:45:02Z","author":[{"full_name":"Richters, Dorothee","first_name":"Dorothee","last_name":"Richters"},{"id":"24135","full_name":"Lass, Michael","last_name":"Lass","orcid":"0000-0002-5708-7632","first_name":"Michael"},{"first_name":"Andrea","last_name":"Walther","full_name":"Walther, Andrea"},{"id":"16153","full_name":"Plessl, Christian","first_name":"Christian","last_name":"Plessl","orcid":"0000-0001-5728-9982"},{"id":"49079","full_name":"Kühne, Thomas","last_name":"Kühne","first_name":"Thomas"}],"title":"A General Algorithm to Calculate the Inverse Principal p-th Root of Symmetric Positive Definite Matrices","year":"2019","department":[{"_id":"27"},{"_id":"518"},{"_id":"304"},{"_id":"104"}],"type":"journal_article","date_created":"2017-07-25T14:48:26Z","abstract":[{"text":"We address the general mathematical problem of computing the inverse p-th\r\nroot of a given matrix in an efficient way. A new method to construct iteration\r\nfunctions that allow calculating arbitrary p-th roots and their inverses of\r\nsymmetric positive definite matrices is presented. We show that the order of\r\nconvergence is at least quadratic and that adaptively adjusting a parameter q\r\nalways leads to an even faster convergence. In this way, a better performance\r\nthan with previously known iteration schemes is achieved. The efficiency of the\r\niterative functions is demonstrated for various matrices with different\r\ndensities, condition numbers and spectral radii.","lang":"eng"}],"issue":"2","publication":"Communications in Computational Physics"},{"author":[{"id":"32655","first_name":"Raphael","last_name":"Gerlach","full_name":"Gerlach, Raphael"},{"last_name":"Koltai","first_name":"Péter","full_name":"Koltai, Péter"},{"last_name":"Dellnitz","first_name":"Michael","full_name":"Dellnitz, Michael"}],"title":"Revealing the intrinsic geometry of finite dimensional invariant sets of  infinite dimensional dynamical systems","status":"public","year":"2019","has_accepted_license":"1","date_updated":"2024-09-24T12:09:27Z","_id":"16711","language":[{"iso":"eng"}],"main_file_link":[{"open_access":"1","url":"https://arxiv.org/abs/1902.08824"}],"ddc":["510"],"user_id":"32655","citation":{"chicago":"Gerlach, Raphael, Péter Koltai, and Michael Dellnitz. “Revealing the Intrinsic Geometry of Finite Dimensional Invariant Sets of  Infinite Dimensional Dynamical Systems.” <i>ArXiv:1902.08824</i>, 2019.","short":"R. Gerlach, P. Koltai, M. Dellnitz, ArXiv:1902.08824 (2019).","ieee":"R. Gerlach, P. Koltai, and M. Dellnitz, “Revealing the intrinsic geometry of finite dimensional invariant sets of  infinite dimensional dynamical systems,” <i>arXiv:1902.08824</i>. 2019.","apa":"Gerlach, R., Koltai, P., &#38; Dellnitz, M. (2019). Revealing the intrinsic geometry of finite dimensional invariant sets of  infinite dimensional dynamical systems. In <i>arXiv:1902.08824</i>.","bibtex":"@article{Gerlach_Koltai_Dellnitz_2019, title={Revealing the intrinsic geometry of finite dimensional invariant sets of  infinite dimensional dynamical systems}, journal={arXiv:1902.08824}, author={Gerlach, Raphael and Koltai, Péter and Dellnitz, Michael}, year={2019} }","ama":"Gerlach R, Koltai P, Dellnitz M. Revealing the intrinsic geometry of finite dimensional invariant sets of  infinite dimensional dynamical systems. <i>arXiv:190208824</i>. Published online 2019.","mla":"Gerlach, Raphael, et al. “Revealing the Intrinsic Geometry of Finite Dimensional Invariant Sets of  Infinite Dimensional Dynamical Systems.” <i>ArXiv:1902.08824</i>, 2019."},"publication":"arXiv:1902.08824","abstract":[{"lang":"eng","text":"Embedding techniques allow the approximations of finite dimensional\r\nattractors and manifolds of infinite dimensional dynamical systems via\r\nsubdivision and continuation methods. These approximations give a topological\r\none-to-one image of the original set. In order to additionally reveal their\r\ngeometry we use diffusion mapst o find intrinsic coordinates. We illustrate our\r\nresults on the unstable manifold of the one-dimensional Kuramoto--Sivashinsky\r\nequation, as well as for the attractor of the Mackey-Glass delay differential\r\nequation."}],"date_created":"2020-04-16T14:06:21Z","external_id":{"arxiv":["1902.08824"]},"oa":"1","department":[{"_id":"101"}],"type":"preprint"},{"citation":{"bibtex":"@article{Engel_Biehler_Frischemeier_Podworny_Schiller_Martignon_2019, title={Erratum to: Zivilstatistik: Konzept einer neuen Perspektive auf Data Literacy und Statistical Literacy}, volume={14}, DOI={<a href=\"https://doi.org/10.1007/s11943-019-00266-4\">10.1007/s11943-019-00266-4</a>}, number={1}, journal={AStA Wirtschafts- und Sozialstatistisches Archiv}, publisher={Springer Science and Business Media LLC}, author={Engel, Joachim and Biehler, Rolf and Frischemeier, Daniel and Podworny, Susanne and Schiller, Achim and Martignon, Laura}, year={2019}, pages={113–114} }","ama":"Engel J, Biehler R, Frischemeier D, Podworny S, Schiller A, Martignon L. Erratum to: Zivilstatistik: Konzept einer neuen Perspektive auf Data Literacy und Statistical Literacy. <i>AStA Wirtschafts- und Sozialstatistisches Archiv</i>. 2019;14(1):113-114. doi:<a href=\"https://doi.org/10.1007/s11943-019-00266-4\">10.1007/s11943-019-00266-4</a>","short":"J. Engel, R. Biehler, D. Frischemeier, S. Podworny, A. Schiller, L. Martignon, AStA Wirtschafts- Und Sozialstatistisches Archiv 14 (2019) 113–114.","chicago":"Engel, Joachim, Rolf Biehler, Daniel Frischemeier, Susanne Podworny, Achim Schiller, and Laura Martignon. “Erratum to: Zivilstatistik: Konzept Einer Neuen Perspektive Auf Data Literacy Und Statistical Literacy.” <i>AStA Wirtschafts- Und Sozialstatistisches Archiv</i> 14, no. 1 (2019): 113–14. <a href=\"https://doi.org/10.1007/s11943-019-00266-4\">https://doi.org/10.1007/s11943-019-00266-4</a>.","ieee":"J. Engel, R. Biehler, D. Frischemeier, S. Podworny, A. Schiller, and L. Martignon, “Erratum to: Zivilstatistik: Konzept einer neuen Perspektive auf Data Literacy und Statistical Literacy,” <i>AStA Wirtschafts- und Sozialstatistisches Archiv</i>, vol. 14, no. 1, pp. 113–114, 2019, doi: <a href=\"https://doi.org/10.1007/s11943-019-00266-4\">10.1007/s11943-019-00266-4</a>.","mla":"Engel, Joachim, et al. “Erratum to: Zivilstatistik: Konzept Einer Neuen Perspektive Auf Data Literacy Und Statistical Literacy.” <i>AStA Wirtschafts- Und Sozialstatistisches Archiv</i>, vol. 14, no. 1, Springer Science and Business Media LLC, 2019, pp. 113–14, doi:<a href=\"https://doi.org/10.1007/s11943-019-00266-4\">10.1007/s11943-019-00266-4</a>.","apa":"Engel, J., Biehler, R., Frischemeier, D., Podworny, S., Schiller, A., &#38; Martignon, L. (2019). Erratum to: Zivilstatistik: Konzept einer neuen Perspektive auf Data Literacy und Statistical Literacy. <i>AStA Wirtschafts- Und Sozialstatistisches Archiv</i>, <i>14</i>(1), 113–114. <a href=\"https://doi.org/10.1007/s11943-019-00266-4\">https://doi.org/10.1007/s11943-019-00266-4</a>"},"status":"public","page":"113-114","publisher":"Springer Science and Business Media LLC","_id":"56248","user_id":"37888","volume":14,"issue":"1","publication":"AStA Wirtschafts- und Sozialstatistisches Archiv","date_created":"2024-09-25T08:19:16Z","type":"journal_article","department":[{"_id":"363"}],"year":"2019","title":"Erratum to: Zivilstatistik: Konzept einer neuen Perspektive auf Data Literacy und Statistical Literacy","publication_identifier":{"issn":["1863-8155","1863-8163"]},"author":[{"first_name":"Joachim","last_name":"Engel","full_name":"Engel, Joachim"},{"full_name":"Biehler, Rolf","first_name":"Rolf","last_name":"Biehler","id":"16274"},{"last_name":"Frischemeier","first_name":"Daniel","full_name":"Frischemeier, Daniel"},{"last_name":"Podworny","orcid":"0000-0002-6313-5987","first_name":"Susanne","full_name":"Podworny, Susanne","id":"30619"},{"first_name":"Achim","last_name":"Schiller","full_name":"Schiller, Achim"},{"full_name":"Martignon, Laura","last_name":"Martignon","first_name":"Laura"}],"date_updated":"2024-09-25T08:27:59Z","publication_status":"published","intvolume":"        14","main_file_link":[{"url":"https://link.springer.com/article/10.1007/s11943-019-00266-4"}],"language":[{"iso":"eng"}],"doi":"10.1007/s11943-019-00266-4"},{"place":"Cham","date_created":"2024-09-25T08:12:22Z","type":"book_chapter","department":[{"_id":"363"}],"publication":"ICME-13 Monographs","citation":{"ieee":"R. Biehler, “Allgemeinbildung, Mathematical Literacy, and Competence Orientation,” in <i>ICME-13 Monographs</i>, H. N. Jahnke and L. Hefendehl-Hebeker, Eds. Cham: Springer International Publishing, 2019.","apa":"Biehler, R. (2019). Allgemeinbildung, Mathematical Literacy, and Competence Orientation. In H. N. Jahnke &#38; L. Hefendehl-Hebeker (Eds.), <i>ICME-13 Monographs</i>. Springer International Publishing. <a href=\"https://doi.org/10.1007/978-3-030-11069-7_6\">https://doi.org/10.1007/978-3-030-11069-7_6</a>","mla":"Biehler, Rolf. “Allgemeinbildung, Mathematical Literacy, and Competence Orientation.” <i>ICME-13 Monographs</i>, edited by H. N. Jahnke and L. Hefendehl-Hebeker, Springer International Publishing, 2019, doi:<a href=\"https://doi.org/10.1007/978-3-030-11069-7_6\">10.1007/978-3-030-11069-7_6</a>.","bibtex":"@inbook{Biehler_2019, place={Cham}, title={Allgemeinbildung, Mathematical Literacy, and Competence Orientation}, DOI={<a href=\"https://doi.org/10.1007/978-3-030-11069-7_6\">10.1007/978-3-030-11069-7_6</a>}, booktitle={ICME-13 Monographs}, publisher={Springer International Publishing}, author={Biehler, Rolf}, editor={Jahnke, H. N. and Hefendehl-Hebeker, L.}, year={2019} }","chicago":"Biehler, Rolf. “Allgemeinbildung, Mathematical Literacy, and Competence Orientation.” In <i>ICME-13 Monographs</i>, edited by H. N. Jahnke and L. Hefendehl-Hebeker. Cham: Springer International Publishing, 2019. <a href=\"https://doi.org/10.1007/978-3-030-11069-7_6\">https://doi.org/10.1007/978-3-030-11069-7_6</a>.","ama":"Biehler R. Allgemeinbildung, Mathematical Literacy, and Competence Orientation. In: Jahnke HN, Hefendehl-Hebeker L, eds. <i>ICME-13 Monographs</i>. Springer International Publishing; 2019. doi:<a href=\"https://doi.org/10.1007/978-3-030-11069-7_6\">10.1007/978-3-030-11069-7_6</a>","short":"R. Biehler, in: H.N. Jahnke, L. Hefendehl-Hebeker (Eds.), ICME-13 Monographs, Springer International Publishing, Cham, 2019."},"main_file_link":[{"url":"https://link.springer.com/chapter/10.1007/978-3-030-11069-7_6"}],"_id":"56245","publisher":"Springer International Publishing","language":[{"iso":"eng"}],"doi":"10.1007/978-3-030-11069-7_6","user_id":"37888","editor":[{"full_name":"Jahnke, H. N.","first_name":"H. N.","last_name":"Jahnke"},{"full_name":"Hefendehl-Hebeker, L.","first_name":"L.","last_name":"Hefendehl-Hebeker"}],"year":"2019","title":"Allgemeinbildung, Mathematical Literacy, and Competence Orientation","status":"public","author":[{"id":"16274","last_name":"Biehler","first_name":"Rolf","full_name":"Biehler, Rolf"}],"publication_identifier":{"issn":["2520-8322","2520-8330"],"isbn":["9783030110680","9783030110697"]},"date_updated":"2024-09-25T08:27:36Z","publication_status":"published"},{"date_created":"2024-09-25T08:16:21Z","department":[{"_id":"363"}],"type":"book_chapter","citation":{"apa":"Biehler, R. (2019). Software for learning and for doing statistics and probability–Looking back and looking forward from a personal perspective. In J. M. Contreras, M. M. Gea, M. M. Lopez-Martin, &#38; E. Molina-Portillo (Eds.), <i>Proceedings of the Third International Virtual Congress of Statistical Education</i>. Universidad de Granada.","ieee":"R. Biehler, “Software for learning and for doing statistics and probability–Looking back and looking forward from a personal perspective,” in <i>Proceedings of the Third International Virtual Congress of Statistical Education</i>, J. M. Contreras, M. M. Gea, M. M. Lopez-Martin, and E. Molina-Portillo, Eds. Universidad de Granada, 2019.","chicago":"Biehler, Rolf. “Software for Learning and for Doing Statistics and Probability–Looking Back and Looking Forward from a Personal Perspective.” In <i>Proceedings of the Third International Virtual Congress of Statistical Education</i>, edited by J. M. Contreras, M. M. Gea, M. M. Lopez-Martin, and E. Molina-Portillo. Universidad de Granada, 2019.","short":"R. Biehler, in: J.M. Contreras, M.M. Gea, M.M. Lopez-Martin, E. Molina-Portillo (Eds.), Proceedings of the Third International Virtual Congress of Statistical Education, Universidad de Granada, 2019.","mla":"Biehler, Rolf. “Software for Learning and for Doing Statistics and Probability–Looking Back and Looking Forward from a Personal Perspective.” <i>Proceedings of the Third International Virtual Congress of Statistical Education</i>, edited by J. M. Contreras et al., Universidad de Granada, 2019.","ama":"Biehler R. Software for learning and for doing statistics and probability–Looking back and looking forward from a personal perspective. In: Contreras JM, Gea MM, Lopez-Martin MM, Molina-Portillo E, eds. <i>Proceedings of the Third International Virtual Congress of Statistical Education</i>. Universidad de Granada; 2019.","bibtex":"@inbook{Biehler_2019, title={Software for learning and for doing statistics and probability–Looking back and looking forward from a personal perspective}, booktitle={Proceedings of the Third International Virtual Congress of Statistical Education}, publisher={Universidad de Granada}, author={Biehler, Rolf}, editor={Contreras, J. M. and Gea, M. M. and Lopez-Martin, M. M. and Molina-Portillo, E.}, year={2019} }"},"publication":"Proceedings of the Third International Virtual Congress of Statistical Education","_id":"56247","language":[{"iso":"eng"}],"publisher":"Universidad de Granada","main_file_link":[{"url":"https://digibug.ugr.es/handle/10481/55033"}],"editor":[{"first_name":"J. M.","last_name":"Contreras","full_name":"Contreras, J. M."},{"first_name":"M. M.","last_name":"Gea","full_name":"Gea, M. M."},{"full_name":"Lopez-Martin, M. M.","last_name":"Lopez-Martin","first_name":"M. M."},{"full_name":"Molina-Portillo, E.","first_name":"E.","last_name":"Molina-Portillo"}],"user_id":"37888","author":[{"id":"16274","last_name":"Biehler","first_name":"Rolf","full_name":"Biehler, Rolf"}],"status":"public","year":"2019","title":"Software for learning and for doing statistics and probability–Looking back and looking forward from a personal perspective","date_updated":"2024-09-25T08:27:48Z"},{"citation":{"mla":"Frischemeier, Daniel, et al. “Chancen Und Herausforderungen Für Die Implementation von Zivilstatistiken in Der Lehramtsausbildung.” <i>Stochastik in Der Schule</i>, vol. 39, no. 1, 2019, pp. 26–33.","bibtex":"@article{Frischemeier_Podworny_Biehler_2019, title={Chancen und Herausforderungen für die Implementation von Zivilstatistiken in der Lehramtsausbildung}, volume={39}, number={1}, journal={Stochastik in der Schule}, author={Frischemeier, Daniel and Podworny, Susanne and Biehler, Rolf}, year={2019}, pages={26–33} }","ama":"Frischemeier D, Podworny S, Biehler R. Chancen und Herausforderungen für die Implementation von Zivilstatistiken in der Lehramtsausbildung. <i>Stochastik in der Schule</i>. 2019;39(1):26-33.","ieee":"D. Frischemeier, S. Podworny, and R. Biehler, “Chancen und Herausforderungen für die Implementation von Zivilstatistiken in der Lehramtsausbildung,” <i>Stochastik in der Schule</i>, vol. 39, no. 1, pp. 26–33, 2019.","apa":"Frischemeier, D., Podworny, S., &#38; Biehler, R. (2019). Chancen und Herausforderungen für die Implementation von Zivilstatistiken in der Lehramtsausbildung. <i>Stochastik in Der Schule</i>, <i>39</i>(1), 26–33.","short":"D. Frischemeier, S. Podworny, R. Biehler, Stochastik in Der Schule 39 (2019) 26–33.","chicago":"Frischemeier, Daniel, Susanne Podworny, and Rolf Biehler. “Chancen Und Herausforderungen Für Die Implementation von Zivilstatistiken in Der Lehramtsausbildung.” <i>Stochastik in Der Schule</i> 39, no. 1 (2019): 26–33."},"publication":"Stochastik in der Schule","issue":"1","date_created":"2024-09-25T08:40:23Z","department":[{"_id":"363"}],"type":"journal_article","author":[{"full_name":"Frischemeier, Daniel","first_name":"Daniel","last_name":"Frischemeier"},{"first_name":"Susanne","orcid":"0000-0002-6313-5987","last_name":"Podworny","full_name":"Podworny, Susanne","id":"30619"},{"id":"16274","full_name":"Biehler, Rolf","first_name":"Rolf","last_name":"Biehler"}],"status":"public","title":"Chancen und Herausforderungen für die Implementation von Zivilstatistiken in der Lehramtsausbildung","year":"2019","intvolume":"        39","date_updated":"2024-09-25T08:40:28Z","_id":"56252","language":[{"iso":"eng"}],"page":"26-33","volume":39,"user_id":"37888"},{"publisher":"Freudenthal Group & Freudenthal Institute, Utrecht University and ERME","_id":"56259","language":[{"iso":"eng"}],"main_file_link":[{"url":"https://hal.science/hal-02422582/"}],"editor":[{"last_name":"Jankvist","first_name":"U. T.","full_name":"Jankvist, U. T."},{"full_name":"van den Heuvel-Panhuizen, M.","last_name":"van den Heuvel-Panhuizen","first_name":"M."},{"last_name":"Veldhuis","first_name":"M.","full_name":"Veldhuis, M."}],"user_id":"37888","author":[{"full_name":"Nieszporek, Ralf","last_name":"Nieszporek","first_name":"Ralf"},{"id":"16274","last_name":"Biehler","first_name":"Rolf","full_name":"Biehler, Rolf"}],"status":"public","title":"Retrospective competence assessment in a PD course on teaching statistics with digital tools in upper secondary schools","year":"2019","date_updated":"2024-09-25T08:59:22Z","date_created":"2024-09-25T08:56:43Z","place":"Utrecht, the Netherlands","department":[{"_id":"363"}],"type":"book_chapter","citation":{"mla":"Nieszporek, Ralf, and Rolf Biehler. “Retrospective Competence Assessment in a PD Course on Teaching Statistics with Digital Tools in Upper Secondary Schools.” <i>Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education</i>, edited by U. T. Jankvist et al., Freudenthal Group &#38; Freudenthal Institute, Utrecht University and ERME, 2019.","ama":"Nieszporek R, Biehler R. Retrospective competence assessment in a PD course on teaching statistics with digital tools in upper secondary schools. In: Jankvist UT, van den Heuvel-Panhuizen M, Veldhuis M, eds. <i>Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education</i>. Freudenthal Group &#38; Freudenthal Institute, Utrecht University and ERME; 2019.","bibtex":"@inbook{Nieszporek_Biehler_2019, place={Utrecht, the Netherlands}, title={Retrospective competence assessment in a PD course on teaching statistics with digital tools in upper secondary schools}, booktitle={Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education}, publisher={Freudenthal Group &#38; Freudenthal Institute, Utrecht University and ERME}, author={Nieszporek, Ralf and Biehler, Rolf}, editor={Jankvist, U. T. and van den Heuvel-Panhuizen, M. and Veldhuis, M.}, year={2019} }","apa":"Nieszporek, R., &#38; Biehler, R. (2019). Retrospective competence assessment in a PD course on teaching statistics with digital tools in upper secondary schools. In U. T. Jankvist, M. van den Heuvel-Panhuizen, &#38; M. Veldhuis (Eds.), <i>Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education</i>. Freudenthal Group &#38; Freudenthal Institute, Utrecht University and ERME.","ieee":"R. Nieszporek and R. Biehler, “Retrospective competence assessment in a PD course on teaching statistics with digital tools in upper secondary schools,” in <i>Proceedings of the Eleventh Congress of the European Society for Research in Mathematics Education</i>, U. T. Jankvist, M. van den Heuvel-Panhuizen, and M. Veldhuis, Eds. 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Proceedings of the Tenth International Conference on Teaching Sta-Tistics (ICOTS10, July, 2018), Kyoto, Japan</i>, edited by M.A. Sorto, A. White, and L. Guyot. Voorburg, The Netherlands: International Statistical Institute, 2019.","short":"R. Nieszporek, R. Biehler, B. Griese, in: M.A. Sorto, A. White, L. Guyot (Eds.), Looking Back, Looking Forward. Proceedings of the Tenth International Conference on Teaching Sta-Tistics (ICOTS10, July, 2018), Kyoto, Japan, International Statistical Institute, Voorburg, The Netherlands, 2019.","apa":"Nieszporek, R., Biehler, R., &#38; Griese, B. (2019). Developments of teachers’ knowledge facets in teaching statistics with digital tools measured with retrospective self-assessment. In M. A. Sorto, A. White, &#38; L. Guyot (Eds.), <i>Looking back, looking forward. Proceedings of the Tenth International Conference on Teaching Sta-tistics (ICOTS10, July, 2018), Kyoto, Japan</i>. International Statistical Institute.","ieee":"R. Nieszporek, R. 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Bonn: Gesellschaft für Informatik, 2019.","short":"M. Schlichtig, S. Opel, C. Schulte, R. Biehler, D. Frischemeier, S. Podworny, T. Wassong, in: A. Pasternak (Ed.), Informatik für alle, Gesellschaft für Informatik, Bonn, 2019, p. 385.","ieee":"M. Schlichtig <i>et al.</i>, “Maschinelles Lernen im Unterricht mit Jupyter Notebook,” in <i>Informatik für alle</i>, Dortmund, Germany, 2019, p. 385.","apa":"Schlichtig, M., Opel, S., Schulte, C., Biehler, R., Frischemeier, D., Podworny, S., &#38; Wassong, T. (2019). Maschinelles Lernen im Unterricht mit Jupyter Notebook. In A. Pasternak (Ed.), <i>Informatik für alle</i> (p. 385). Gesellschaft für Informatik.","bibtex":"@inproceedings{Schlichtig_Opel_Schulte_Biehler_Frischemeier_Podworny_Wassong_2019, place={Bonn}, title={Maschinelles Lernen im Unterricht mit Jupyter Notebook}, booktitle={Informatik für alle}, publisher={Gesellschaft für Informatik}, author={Schlichtig, Michael and Opel, Simone and Schulte, Carsten and Biehler, Rolf and Frischemeier, Daniel and Podworny, Susanne and Wassong, Thomas}, editor={Pasternak, Arno}, year={2019}, pages={385} }","ama":"Schlichtig M, Opel S, Schulte C, et al. Maschinelles Lernen im Unterricht mit Jupyter Notebook. In: Pasternak A, ed. <i>Informatik für alle</i>. Gesellschaft für Informatik; 2019:385.","mla":"Schlichtig, Michael, et al. “Maschinelles Lernen im Unterricht mit Jupyter Notebook.” <i>Informatik für alle</i>, edited by Arno Pasternak, Gesellschaft für Informatik, 2019, p. 385."},"main_file_link":[{"url":"https://dl.gi.de/handle/20.500.12116/28964"}],"language":[{"iso":"ger"}],"publication_status":"published","date_updated":"2025-05-25T20:01:30Z","year":"2019","title":"Maschinelles Lernen im Unterricht mit Jupyter Notebook","publication_identifier":{"isbn":["978-3-88579-682-4"]},"author":[{"full_name":"Schlichtig, Michael","first_name":"Michael","last_name":"Schlichtig","orcid":"0000-0001-6600-6171","id":"32312"},{"first_name":"Simone","last_name":"Opel","full_name":"Opel, Simone"},{"first_name":"Carsten","last_name":"Schulte","full_name":"Schulte, Carsten"},{"last_name":"Biehler","first_name":"Rolf","full_name":"Biehler, Rolf"},{"last_name":"Frischemeier","first_name":"Daniel","full_name":"Frischemeier, Daniel"},{"full_name":"Podworny, Susanne","last_name":"Podworny","first_name":"Susanne"},{"full_name":"Wassong, Thomas","last_name":"Wassong","first_name":"Thomas","id":"21241"}],"type":"conference","department":[{"_id":"67"},{"_id":"97"}],"date_created":"2019-11-07T14:08:13Z","abstract":[{"text":"Data Science und Big Data durchdringt in ihren diversen Facetten unser tägliches Leben– kaum ein Tag, an dem nicht verschiedene Meldungen über technische Innovationen, Einsatzmöglichkeiten von Künstlicher Intelligenz (KI) und Maschinelles Lernen (ML) und ihre ethischen sowie gesellschaftlichen Implikationen in den unterschiedlichen Medien diskutiert werden. Aus diesem Grund erscheint es uns immens wichtig, diese Fragestellungen und Technologien auch in den Unterricht der Sekundarstufe II zu integrieren. Um diesem Anspruch gerecht zu werden, entwickelten wir im Rahmen eines Forschungsprojekts ein Curriculum, welches wir als konkretes Unterrichtskonzept innerhalb eines Projektkurses erprobt, evaluiert weiterentwickelt wird. Bei der Implementierung entschieden wir uns, zur aktiven Umsetzung von Konzepten von ML als Plattform Jupyter Notebook mit Python zu verwenden, da diese Umgebung durch die Verbindung von Code und Hypertext zur Dokumentation und Erklärung Medienbrüche im Lernprozess verringern kann. Zudem ist Python zur Implementierung der Methoden von ML sehr gut geeignet. Im Themenfeld des ML als Teilgebiet der KI legen wir den Fokus auf zwei unterschiedliche Lernverfahren um verschieden Aspekte von ML, u.A. wie Nachvollziehbarkeit unter gesellschaftlichen Gesichtspunkten zu vermitteln. Diese sind Künstliche Neuronale Netze (bei denen die Berechnung und Bedeutung der Kantengewichte zwischen den Neuronen für den Menschen insbesondere bei komplexeren Netzen kaum nachvollziehbar erschienen) und Entscheidungsbäume (strukturierte und gerichtete Bäume zur Darstellung von Entscheidungsregeln, welche auch für Schülerinnen und Schüler meist gut nachvollziehbares und verständliches KI-Modell darstellen). In diesem Workshop stellen wir konkrete Umsetzungsbeispiele inklusive der Programmierung für beide Verfahren mit Jupyter Notebook und Python als Teil einer Unterrichtssequenz vor und diskutieren diese.","lang":"ger"}],"publication":"Informatik für alle"},{"date_created":"2026-02-26T21:22:48Z","external_id":{"arxiv":["arXiv:1904.10928"]},"department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"type":"preprint","citation":{"short":"N. Nikitin, (2019).","chicago":"Nikitin, Natalie. “Measurable Regularity of Infinite-Dimensional Lie Groups Based on Lusin Measurability,” 2019.","apa":"Nikitin, N. (2019). <i>Measurable regularity of infinite-dimensional Lie groups based on Lusin measurability</i>.","ieee":"N. Nikitin, “Measurable regularity of infinite-dimensional Lie groups based on Lusin measurability.” 2019.","ama":"Nikitin N. Measurable regularity of infinite-dimensional Lie groups based on Lusin measurability. Published online 2019.","bibtex":"@article{Nikitin_2019, title={Measurable regularity of infinite-dimensional Lie groups based on Lusin measurability}, author={Nikitin, Natalie}, year={2019} }","mla":"Nikitin, Natalie. <i>Measurable Regularity of Infinite-Dimensional Lie Groups Based on Lusin Measurability</i>. 2019."},"_id":"64769","language":[{"iso":"eng"}],"user_id":"178","author":[{"full_name":"Nikitin, Natalie","first_name":"Natalie","last_name":"Nikitin"}],"year":"2019","status":"public","title":"Measurable regularity of infinite-dimensional Lie groups based on Lusin measurability","date_updated":"2026-02-26T21:22:58Z"},{"publication":"Indagationes Mathematicae","issue":"4","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"type":"journal_article","keyword":["58D05","57S05","22E65","58D15","58B10"],"date_created":"2026-02-26T20:43:34Z","intvolume":"        30","article_type":"original","date_updated":"2026-02-27T07:09:17Z","author":[{"last_name":"Walter","first_name":"Boris","full_name":"Walter, Boris"}],"publication_identifier":{"issn":["0019-3577"]},"title":"Weighted diffeomorphism groups of Riemannian manifolds","year":"2019","doi":"10.1016/j.indag.2019.03.003","language":[{"iso":"eng"}],"quality_controlled":"1","citation":{"ama":"Walter B. 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Walter, Indagationes Mathematicae 30 (2019) 669–705.","apa":"Walter, B. (2019). Weighted diffeomorphism groups of Riemannian manifolds. <i>Indagationes Mathematicae</i>, <i>30</i>(4), 669–705. <a href=\"https://doi.org/10.1016/j.indag.2019.03.003\">https://doi.org/10.1016/j.indag.2019.03.003</a>","ieee":"B. Walter, “Weighted diffeomorphism groups of Riemannian manifolds,” <i>Indagationes Mathematicae</i>, vol. 30, no. 4, pp. 669–705, 2019, doi: <a href=\"https://doi.org/10.1016/j.indag.2019.03.003\">10.1016/j.indag.2019.03.003</a>."},"status":"public","volume":30,"user_id":"178","_id":"64756","page":"669–705"},{"doi":"10.4153/CJM-2017-048-5","language":[{"iso":"eng"}],"intvolume":"        71","article_type":"original","date_updated":"2026-02-27T08:33:56Z","author":[{"id":"178","first_name":"Helge","last_name":"Glöckner","full_name":"Glöckner, Helge"}],"publication_identifier":{"issn":["0008-414X"]},"year":"2019","title":"Completeness of infinite-dimensional Lie groups in their left uniformity","department":[{"_id":"10"},{"_id":"87"},{"_id":"93"}],"type":"journal_article","keyword":["22E65","22A05","22E67","46A13","46M40","58D05"],"date_created":"2026-02-26T07:03:36Z","issue":"1","publication":"Canadian Journal of Mathematics","volume":71,"user_id":"178","_id":"64630","page":"131–152","status":"public","quality_controlled":"1","citation":{"bibtex":"@article{Glöckner_2019, title={Completeness of infinite-dimensional Lie groups in their left uniformity}, volume={71}, DOI={<a href=\"https://doi.org/10.4153/CJM-2017-048-5\">10.4153/CJM-2017-048-5</a>}, number={1}, journal={Canadian Journal of Mathematics}, author={Glöckner, Helge}, year={2019}, pages={131–152} }","short":"H. 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Completeness of infinite-dimensional Lie groups in their left uniformity. <i>Canadian Journal of Mathematics</i>, <i>71</i>(1), 131–152. <a href=\"https://doi.org/10.4153/CJM-2017-048-5\">https://doi.org/10.4153/CJM-2017-048-5</a>","mla":"Glöckner, Helge. “Completeness of Infinite-Dimensional Lie Groups in Their Left Uniformity.” <i>Canadian Journal of Mathematics</i>, vol. 71, no. 1, 2019, pp. 131–152, doi:<a href=\"https://doi.org/10.4153/CJM-2017-048-5\">10.4153/CJM-2017-048-5</a>."}},{"date_updated":"2025-12-01T08:30:39Z","author":[{"full_name":"Opel, Simone","last_name":"Opel","first_name":"Simone"},{"first_name":"Michael","last_name":"Schlichtig","full_name":"Schlichtig, Michael"},{"id":"60311","first_name":"Carsten","last_name":"Schulte","full_name":"Schulte, Carsten"},{"id":"16274","full_name":"Biehler, Rolf","first_name":"Rolf","last_name":"Biehler"},{"first_name":"Daniel","last_name":"Frischemeier","full_name":"Frischemeier, Daniel"},{"last_name":"Podworny","first_name":"Susanne","full_name":"Podworny, Susanne"},{"full_name":"Wassong, Thomas","first_name":"Thomas","last_name":"Wassong","id":"21241"}],"publication_identifier":{"isbn":["978-3-88579-682-4"]},"year":"2019","status":"public","title":"Entwicklung und Reflexion einer Unterrichtssequenz zum Maschinellen Lernen als Aspekt von Data Science in der Sekundarstufe II","editor":[{"last_name":"Pasternak","first_name":"A.","full_name":"Pasternak, A."}],"doi":"10.18420/infos2019-c14","user_id":"37888","_id":"62712","language":[{"iso":"ger"}],"publisher":"Gesellschaft für Informatik","page":"285–294","citation":{"chicago":"Opel, Simone, Michael Schlichtig, Carsten Schulte, Rolf Biehler, Daniel Frischemeier, Susanne Podworny, and Thomas Wassong. “Entwicklung und Reflexion einer Unterrichtssequenz zum Maschinellen Lernen als Aspekt von Data Science in der Sekundarstufe II.” In <i>Informatik für alle - 18. GI-Fachtagung Informatik und Schule, 16.-18. September 2019, Dortmund</i>, edited by A. Pasternak, 285–294. Gesellschaft für Informatik, 2019. <a href=\"https://doi.org/10.18420/infos2019-c14\">https://doi.org/10.18420/infos2019-c14</a>.","short":"S. Opel, M. Schlichtig, C. Schulte, R. Biehler, D. Frischemeier, S. Podworny, T. Wassong, in: A. Pasternak (Ed.), Informatik für alle - 18. GI-Fachtagung Informatik und Schule, 16.-18. September 2019, Dortmund, Gesellschaft für Informatik, 2019, pp. 285–294.","apa":"Opel, S., Schlichtig, M., Schulte, C., Biehler, R., Frischemeier, D., Podworny, S., &#38; Wassong, T. (2019). Entwicklung und Reflexion einer Unterrichtssequenz zum Maschinellen Lernen als Aspekt von Data Science in der Sekundarstufe II. In A. Pasternak (Ed.), <i>Informatik für alle - 18. GI-Fachtagung Informatik und Schule, 16.-18. September 2019, Dortmund</i> (pp. 285–294). Gesellschaft für Informatik. <a href=\"https://doi.org/10.18420/infos2019-c14\">https://doi.org/10.18420/infos2019-c14</a>","ieee":"S. Opel <i>et al.</i>, “Entwicklung und Reflexion einer Unterrichtssequenz zum Maschinellen Lernen als Aspekt von Data Science in der Sekundarstufe II,” in <i>Informatik für alle - 18. GI-Fachtagung Informatik und Schule, 16.-18. September 2019, Dortmund</i>, A. Pasternak, Ed. Gesellschaft für Informatik, 2019, pp. 285–294.","ama":"Opel S, Schlichtig M, Schulte C, et al. Entwicklung und Reflexion einer Unterrichtssequenz zum Maschinellen Lernen als Aspekt von Data Science in der Sekundarstufe II. In: Pasternak A, ed. <i>Informatik für alle - 18. GI-Fachtagung Informatik und Schule, 16.-18. September 2019, Dortmund</i>. Gesellschaft für Informatik; 2019:285–294. doi:<a href=\"https://doi.org/10.18420/infos2019-c14\">10.18420/infos2019-c14</a>","bibtex":"@inbook{Opel_Schlichtig_Schulte_Biehler_Frischemeier_Podworny_Wassong_2019, title={Entwicklung und Reflexion einer Unterrichtssequenz zum Maschinellen Lernen als Aspekt von Data Science in der Sekundarstufe II}, DOI={<a href=\"https://doi.org/10.18420/infos2019-c14\">10.18420/infos2019-c14</a>}, booktitle={Informatik für alle - 18. GI-Fachtagung Informatik und Schule, 16.-18. September 2019, Dortmund}, publisher={Gesellschaft für Informatik}, author={Opel, Simone and Schlichtig, Michael and Schulte, Carsten and Biehler, Rolf and Frischemeier, Daniel and Podworny, Susanne and Wassong, Thomas}, editor={Pasternak, A.}, year={2019}, pages={285–294} }","mla":"Opel, Simone, et al. “Entwicklung und Reflexion einer Unterrichtssequenz zum Maschinellen Lernen als Aspekt von Data Science in der Sekundarstufe II.” <i>Informatik für alle - 18. GI-Fachtagung Informatik und Schule, 16.-18. September 2019, Dortmund</i>, edited by A. Pasternak, Gesellschaft für Informatik, 2019, pp. 285–294, doi:<a href=\"https://doi.org/10.18420/infos2019-c14\">10.18420/infos2019-c14</a>."},"publication":"Informatik für alle - 18. GI-Fachtagung Informatik und Schule, 16.-18. September 2019, Dortmund","department":[{"_id":"363"}],"type":"book_chapter","date_created":"2025-12-01T08:03:19Z"},{"place":"GAMM Annual Meeting, Wien","date_created":"2019-03-08T13:20:14Z","type":"misc","department":[{"_id":"104"},{"_id":"49"}],"citation":{"ieee":"B. Jurgelucks, V. Schulze, N. Feldmann, and L. Claes, <i>Arbitrary sensitivity for inverse problems in piezoelectricity</i>. GAMM Annual Meeting, Wien, 2019.","apa":"Jurgelucks, B., Schulze, V., Feldmann, N., &#38; Claes, L. (2019). <i>Arbitrary sensitivity for inverse problems in piezoelectricity</i>.","chicago":"Jurgelucks, Benjamin, Veronika Schulze, Nadine Feldmann, and Leander Claes. <i>Arbitrary Sensitivity for Inverse Problems in Piezoelectricity</i>. GAMM Annual Meeting, Wien, 2019.","short":"B. Jurgelucks, V. Schulze, N. Feldmann, L. Claes, Arbitrary Sensitivity for Inverse Problems in Piezoelectricity, GAMM Annual Meeting, Wien, 2019.","mla":"Jurgelucks, Benjamin, et al. <i>Arbitrary Sensitivity for Inverse Problems in Piezoelectricity</i>. 2019.","bibtex":"@book{Jurgelucks_Schulze_Feldmann_Claes_2019, place={GAMM Annual Meeting, Wien}, title={Arbitrary sensitivity for inverse problems in piezoelectricity}, author={Jurgelucks, Benjamin and Schulze, Veronika and Feldmann, Nadine and Claes, Leander}, year={2019} }","ama":"Jurgelucks B, Schulze V, Feldmann N, Claes L. <i>Arbitrary Sensitivity for Inverse Problems in Piezoelectricity</i>.; 2019."},"project":[{"name":"Ein modellbasiertes Messverfahren zur Charakterisierung der frequenzabhängigen Materialeigenschaften von Piezokeramiken unter Verwendung eines einzelnen Probekörperindividuums","_id":"90"},{"_id":"245","name":"FOR 5208: Modellbasierte Bestimmung nichtlinearer Eigenschaften von Piezokeramiken für Leistungsschallanwendungen (NEPTUN)"}],"_id":"8482","language":[{"iso":"eng"}],"user_id":"11829","status":"public","title":"Arbitrary sensitivity for inverse problems in piezoelectricity","year":"2019","author":[{"full_name":"Jurgelucks, Benjamin","last_name":"Jurgelucks","first_name":"Benjamin"},{"first_name":"Veronika","last_name":"Schulze","full_name":"Schulze, Veronika"},{"first_name":"Nadine","last_name":"Feldmann","full_name":"Feldmann, Nadine","id":"23082"},{"first_name":"Leander","orcid":"0000-0002-4393-268X","last_name":"Claes","full_name":"Claes, Leander","id":"11829"}],"date_updated":"2026-01-05T07:53:43Z"},{"abstract":[{"text":"A bifurcation is a qualitative change in a family of solutions to an equation produced by varying parameters. In contrast to the local bifurcations of dynamical systems that are often related to a change in the number or stability of equilibria, bifurcations of boundary value problems are global in nature and may not be related to any obvious change in dynamical behaviour. Catastrophe theory is a well-developed framework which studies the bifurcations of critical points of functions. In this paper we study the bifurcations of solutions of boundary-value problems for symplectic maps, using the language of (finite-dimensional) singularity theory. We associate certain such problems with a geometric picture involving the intersection of Lagrangian submanifolds, and hence with the critical points of a suitable generating function. Within this framework, we then study the effect of three special cases: (i) some common boundary conditions, such as Dirichlet boundary conditions for second-order systems, restrict the possible types of bifurcations (for example, in generic planar systems only the A-series beginning with folds and cusps can occur); (ii) integrable systems, such as planar Hamiltonian systems, can exhibit a novel periodic pitchfork bifurcation; and (iii) systems with Hamiltonian symmetries or reversing symmetries can exhibit restricted bifurcations associated with the symmetry. This approach offers an alternative to the analysis of critical points in function spaces, typically used in the study of bifurcation of variational problems, and opens the way to the detection of more exotic bifurcations than the simple folds and cusps that are often found in examples. ","lang":"eng"}],"extern":"1","publication":"Nonlinearity","department":[{"_id":"636"}],"type":"journal_article","date_created":"2020-10-06T16:28:36Z","article_type":"original","date_updated":"2022-01-06T06:54:14Z","publication_status":"published","author":[{"full_name":"McLachlan, Robert I","first_name":"Robert I","last_name":"McLachlan"},{"last_name":"Offen","first_name":"Christian","orcid":"https://orcid.org/0000-0002-5940-8057","full_name":"Offen, Christian","id":"85279"}],"publication_identifier":{"issn":["0951-7715","1361-6544"]},"title":"Bifurcation of solutions to Hamiltonian boundary value problems","year":"2018","doi":"10.1088/1361-6544/aab630","language":[{"iso":"eng"}],"main_file_link":[{"url":"https://doi.org/10.1088/1361-6544/aab630"}],"citation":{"mla":"McLachlan, Robert I., and Christian Offen. “Bifurcation of Solutions to Hamiltonian Boundary Value Problems.” <i>Nonlinearity</i>, 2018, pp. 2895–927, doi:<a href=\"https://doi.org/10.1088/1361-6544/aab630\">10.1088/1361-6544/aab630</a>.","apa":"McLachlan, R. I., &#38; Offen, C. (2018). Bifurcation of solutions to Hamiltonian boundary value problems. <i>Nonlinearity</i>, 2895–2927. <a href=\"https://doi.org/10.1088/1361-6544/aab630\">https://doi.org/10.1088/1361-6544/aab630</a>","ieee":"R. I. McLachlan and C. Offen, “Bifurcation of solutions to Hamiltonian boundary value problems,” <i>Nonlinearity</i>, pp. 2895–2927, 2018.","short":"R.I. McLachlan, C. Offen, Nonlinearity (2018) 2895–2927.","ama":"McLachlan RI, Offen C. Bifurcation of solutions to Hamiltonian boundary value problems. <i>Nonlinearity</i>. 2018:2895-2927. doi:<a href=\"https://doi.org/10.1088/1361-6544/aab630\">10.1088/1361-6544/aab630</a>","chicago":"McLachlan, Robert I, and Christian Offen. “Bifurcation of Solutions to Hamiltonian Boundary Value Problems.” <i>Nonlinearity</i>, 2018, 2895–2927. <a href=\"https://doi.org/10.1088/1361-6544/aab630\">https://doi.org/10.1088/1361-6544/aab630</a>.","bibtex":"@article{McLachlan_Offen_2018, title={Bifurcation of solutions to Hamiltonian boundary value problems}, DOI={<a href=\"https://doi.org/10.1088/1361-6544/aab630\">10.1088/1361-6544/aab630</a>}, journal={Nonlinearity}, author={McLachlan, Robert I and Offen, Christian}, year={2018}, pages={2895–2927} }"},"status":"public","user_id":"85279","_id":"19935","page":"2895-2927"}]