[{"citation":{"apa":"Kempen, L., &#38; Liebendörfer, M. (2021). University students’ fully digital study of mathematics: an identification of student-groups via their resources usage and a characterization by personal and affective characteristics. <i>Teaching Mathematics and Its Applications: An International Journal of the IMA</i>, <i>40</i>(4), 436–454. <a href=\"https://doi.org/10.1093/teamat/hrab020\">https://doi.org/10.1093/teamat/hrab020</a>","ieee":"L. Kempen and M. Liebendörfer, “University students’ fully digital study of mathematics: an identification of student-groups via their resources usage and a characterization by personal and affective characteristics,” <i>Teaching Mathematics and its Applications: An International Journal of the IMA</i>, vol. 40, no. 4, pp. 436–454, 2021, doi: <a href=\"https://doi.org/10.1093/teamat/hrab020\">10.1093/teamat/hrab020</a>.","chicago":"Kempen, Leander, and Michael Liebendörfer. “University Students’ Fully Digital Study of Mathematics: An Identification of Student-Groups via Their Resources Usage and a Characterization by Personal and Affective Characteristics.” <i>Teaching Mathematics and Its Applications: An International Journal of the IMA</i> 40, no. 4 (2021): 436–54. <a href=\"https://doi.org/10.1093/teamat/hrab020\">https://doi.org/10.1093/teamat/hrab020</a>.","short":"L. Kempen, M. Liebendörfer, Teaching Mathematics and Its Applications: An International Journal of the IMA 40 (2021) 436–454.","mla":"Kempen, Leander, and Michael Liebendörfer. “University Students’ Fully Digital Study of Mathematics: An Identification of Student-Groups via Their Resources Usage and a Characterization by Personal and Affective Characteristics.” <i>Teaching Mathematics and Its Applications: An International Journal of the IMA</i>, vol. 40, no. 4, Oxford University Press (OUP), 2021, pp. 436–54, doi:<a href=\"https://doi.org/10.1093/teamat/hrab020\">10.1093/teamat/hrab020</a>.","ama":"Kempen L, Liebendörfer M. University students’ fully digital study of mathematics: an identification of student-groups via their resources usage and a characterization by personal and affective characteristics. <i>Teaching Mathematics and its Applications: An International Journal of the IMA</i>. 2021;40(4):436-454. doi:<a href=\"https://doi.org/10.1093/teamat/hrab020\">10.1093/teamat/hrab020</a>","bibtex":"@article{Kempen_Liebendörfer_2021, title={University students’ fully digital study of mathematics: an identification of student-groups via their resources usage and a characterization by personal and affective characteristics}, volume={40}, DOI={<a href=\"https://doi.org/10.1093/teamat/hrab020\">10.1093/teamat/hrab020</a>}, number={4}, journal={Teaching Mathematics and its Applications: An International Journal of the IMA}, publisher={Oxford University Press (OUP)}, author={Kempen, Leander and Liebendörfer, Michael}, year={2021}, pages={436–454} }"},"_id":"37473","publisher":"Oxford University Press (OUP)","page":"436-454","volume":40,"user_id":"30933","status":"public","date_created":"2023-01-18T22:23:40Z","department":[{"_id":"10"}],"type":"journal_article","keyword":["Education","General Mathematics"],"publication":"Teaching Mathematics and its Applications: An International Journal of the IMA","issue":"4","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title>\n               <jats:p>We investigated university students’ study of mathematics in the digital setting context of the COVID-19 pandemic. We gathered data from a survey of 89 students enrolled in a ‘Linear Algebra 1’ course including affective variables, learning strategies, social relatedness and resources considered useful. The results indicate students’ high effort and self-regulation and a high variation in affective characteristics and social relatedness. All the traditional aspects of mathematics teaching (lecture, tutorials and lecture notes) were rated as particularly useful. In addition, the videos from external resources were rated as equally useful as the teaching team’s videos. In contrast, traditional literature such as textbooks was rarely considered useful. The most useful resource rated was communication with peers, underlining the important role of social learning despite fully digital learning environments. Finally, a cluster analysis based on students’ rated usefulness of the resources led to three different user-types. Whereas the ‘digitals’ find the external digital resources very useful (videos, webpages, etc.), the ‘traditionalists’ rate the digitalized traditional resources best (lecture, tutorials, etc.). All resources receive uniformly good ratings from a third group (‘all resource users’). We reflect on our findings in light of the pandemic and describe directions for future research.</jats:p>"}],"language":[{"iso":"eng"}],"doi":"10.1093/teamat/hrab020","publication_identifier":{"issn":["0268-3679","1471-6976"]},"author":[{"last_name":"Kempen","first_name":"Leander","full_name":"Kempen, Leander"},{"full_name":"Liebendörfer, Michael","first_name":"Michael","last_name":"Liebendörfer"}],"year":"2021","title":"University students’ fully digital study of mathematics: an identification of student-groups via their resources usage and a characterization by personal and affective characteristics","intvolume":"        40","publication_status":"published","date_updated":"2023-01-18T22:49:44Z"},{"citation":{"mla":"Rösler, Margit, and Michael Voit. “Sonine Formulas and Intertwining Operators in Dunkl Theory.” <i>International Mathematics Research Notices</i>, vol. 2021, no. 17, Oxford University Press (OUP), 2021, pp. 13202–30, doi:<a href=\"https://doi.org/10.1093/imrn/rnz313\">10.1093/imrn/rnz313</a>.","bibtex":"@article{Rösler_Voit_2021, title={Sonine Formulas and Intertwining Operators in Dunkl Theory}, volume={2021}, DOI={<a href=\"https://doi.org/10.1093/imrn/rnz313\">10.1093/imrn/rnz313</a>}, number={17}, journal={International Mathematics Research Notices}, publisher={Oxford University Press (OUP)}, author={Rösler, Margit and Voit, Michael}, year={2021}, pages={13202–13230} }","ama":"Rösler M, Voit M. Sonine Formulas and Intertwining Operators in Dunkl Theory. <i>International Mathematics Research Notices</i>. 2021;2021(17):13202-13230. doi:<a href=\"https://doi.org/10.1093/imrn/rnz313\">10.1093/imrn/rnz313</a>","ieee":"M. Rösler and M. Voit, “Sonine Formulas and Intertwining Operators in Dunkl Theory,” <i>International Mathematics Research Notices</i>, vol. 2021, no. 17, pp. 13202–13230, 2021, doi: <a href=\"https://doi.org/10.1093/imrn/rnz313\">10.1093/imrn/rnz313</a>.","apa":"Rösler, M., &#38; Voit, M. (2021). Sonine Formulas and Intertwining Operators in Dunkl Theory. <i>International Mathematics Research Notices</i>, <i>2021</i>(17), 13202–13230. <a href=\"https://doi.org/10.1093/imrn/rnz313\">https://doi.org/10.1093/imrn/rnz313</a>","short":"M. Rösler, M. Voit, International Mathematics Research Notices 2021 (2021) 13202–13230.","chicago":"Rösler, Margit, and Michael Voit. “Sonine Formulas and Intertwining Operators in Dunkl Theory.” <i>International Mathematics Research Notices</i> 2021, no. 17 (2021): 13202–30. <a href=\"https://doi.org/10.1093/imrn/rnz313\">https://doi.org/10.1093/imrn/rnz313</a>."},"user_id":"37390","volume":2021,"page":"13202-13230","publisher":"Oxford University Press (OUP)","_id":"37649","status":"public","type":"journal_article","keyword":["General Mathematics"],"date_created":"2023-01-20T08:50:07Z","abstract":[{"text":"<jats:title>Abstract</jats:title>\r\n               <jats:p>Let $V_k$ denote Dunkl’s intertwining operator associated with some root system $R$ and multiplicity $k$. For two multiplicities $k, k^{\\prime }$ on $R$, we study the intertwiner $V_{k^{\\prime },k} = V_{k^{\\prime }}\\circ V_k^{-1}$ between Dunkl operators with multiplicities $k$ and $k^{\\prime }.$ It has been a long-standing conjecture that $V_{k^{\\prime },k}$ is positive if $k^{\\prime } \\geq k \\geq 0.$ We disprove this conjecture by constructing counterexamples for root system $B_n$. This matter is closely related to the existence of Sonine-type integral representations between Dunkl kernels and Bessel functions with different multiplicities. In our examples, such Sonine formulas do not exist. As a consequence, we obtain necessary conditions on Sonine formulas for Heckman–Opdam hypergeometric functions of type $BC_n$ and conditions for positive branching coefficients between multivariable Jacobi polynomials.</jats:p>","lang":"eng"}],"publication":"International Mathematics Research Notices","issue":"17","doi":"10.1093/imrn/rnz313","language":[{"iso":"eng"}],"publication_status":"published","date_updated":"2023-01-24T22:16:12Z","intvolume":"      2021","title":"Sonine Formulas and Intertwining Operators in Dunkl Theory","year":"2021","publication_identifier":{"issn":["1073-7928","1687-0247"]},"author":[{"last_name":"Rösler","first_name":"Margit","full_name":"Rösler, Margit","id":"37390"},{"first_name":"Michael","last_name":"Voit","full_name":"Voit, Michael"}]},{"citation":{"mla":"Rösler, Margit, and Michael Voit. “Positive Intertwiners for Bessel Functions of Type B.” <i>Proceedings of the American Mathematical Society</i>, vol. 149, no. 3, American Mathematical Society (AMS), 2021, pp. 1151–63, doi:<a href=\"https://doi.org/10.1090/proc/15312\">10.1090/proc/15312</a>.","ama":"Rösler M, Voit M. Positive intertwiners for Bessel functions of type B. <i>Proceedings of the American Mathematical Society</i>. 2021;149(3):1151-1163. doi:<a href=\"https://doi.org/10.1090/proc/15312\">10.1090/proc/15312</a>","bibtex":"@article{Rösler_Voit_2021, title={Positive intertwiners for Bessel functions of type B}, volume={149}, DOI={<a href=\"https://doi.org/10.1090/proc/15312\">10.1090/proc/15312</a>}, number={3}, journal={Proceedings of the American Mathematical Society}, publisher={American Mathematical Society (AMS)}, author={Rösler, Margit and Voit, Michael}, year={2021}, pages={1151–1163} }","apa":"Rösler, M., &#38; Voit, M. (2021). Positive intertwiners for Bessel functions of type B. <i>Proceedings of the American Mathematical Society</i>, <i>149</i>(3), 1151–1163. <a href=\"https://doi.org/10.1090/proc/15312\">https://doi.org/10.1090/proc/15312</a>","ieee":"M. Rösler and M. Voit, “Positive intertwiners for Bessel functions of type B,” <i>Proceedings of the American Mathematical Society</i>, vol. 149, no. 3, pp. 1151–1163, 2021, doi: <a href=\"https://doi.org/10.1090/proc/15312\">10.1090/proc/15312</a>.","chicago":"Rösler, Margit, and Michael Voit. “Positive Intertwiners for Bessel Functions of Type B.” <i>Proceedings of the American Mathematical Society</i> 149, no. 3 (2021): 1151–63. <a href=\"https://doi.org/10.1090/proc/15312\">https://doi.org/10.1090/proc/15312</a>.","short":"M. Rösler, M. Voit, Proceedings of the American Mathematical Society 149 (2021) 1151–1163."},"page":"1151-1163","_id":"37659","publisher":"American Mathematical Society (AMS)","user_id":"37390","volume":149,"status":"public","date_created":"2023-01-20T09:22:12Z","type":"journal_article","keyword":["Applied Mathematics","General Mathematics"],"department":[{"_id":"555"}],"publication":"Proceedings of the American Mathematical Society","issue":"3","language":[{"iso":"eng"}],"doi":"10.1090/proc/15312","title":"Positive intertwiners for Bessel functions of type B","year":"2021","publication_identifier":{"issn":["0002-9939","1088-6826"]},"author":[{"id":"37390","last_name":"Rösler","first_name":"Margit","full_name":"Rösler, Margit"},{"first_name":"Michael","last_name":"Voit","full_name":"Voit, Michael"}],"date_updated":"2023-01-24T22:16:16Z","publication_status":"published","intvolume":"       149"},{"year":"2021","title":"Relaxed parameter conditions for chemotactic collapse in logistic-type parabolic–elliptic Keller–Segel systems","publication_identifier":{"issn":["0044-2275","1420-9039"]},"author":[{"id":"23686","last_name":"Black","first_name":"Tobias","orcid":"0000-0001-9963-0800","full_name":"Black, Tobias"},{"full_name":"Fuest, Mario","last_name":"Fuest","first_name":"Mario"},{"last_name":"Lankeit","first_name":"Johannes","full_name":"Lankeit, Johannes"}],"date_updated":"2023-07-10T11:39:23Z","publication_status":"published","intvolume":"        72","article_number":"96","language":[{"iso":"eng"}],"doi":"10.1007/s00033-021-01524-8","issue":"3","publication":"Zeitschrift für angewandte Mathematik und Physik","date_created":"2022-12-21T09:48:36Z","keyword":["Applied Mathematics","General Physics and Astronomy","General Mathematics"],"type":"journal_article","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"status":"public","publisher":"Springer Science and Business Media LLC","_id":"34673","user_id":"23686","volume":72,"citation":{"chicago":"Black, Tobias, Mario Fuest, and Johannes Lankeit. “Relaxed Parameter Conditions for Chemotactic Collapse in Logistic-Type Parabolic–Elliptic Keller–Segel Systems.” <i>Zeitschrift Für Angewandte Mathematik Und Physik</i> 72, no. 3 (2021). <a href=\"https://doi.org/10.1007/s00033-021-01524-8\">https://doi.org/10.1007/s00033-021-01524-8</a>.","short":"T. Black, M. Fuest, J. Lankeit, Zeitschrift Für Angewandte Mathematik Und Physik 72 (2021).","apa":"Black, T., Fuest, M., &#38; Lankeit, J. (2021). Relaxed parameter conditions for chemotactic collapse in logistic-type parabolic–elliptic Keller–Segel systems. <i>Zeitschrift Für Angewandte Mathematik Und Physik</i>, <i>72</i>(3), Article 96. <a href=\"https://doi.org/10.1007/s00033-021-01524-8\">https://doi.org/10.1007/s00033-021-01524-8</a>","ieee":"T. Black, M. Fuest, and J. Lankeit, “Relaxed parameter conditions for chemotactic collapse in logistic-type parabolic–elliptic Keller–Segel systems,” <i>Zeitschrift für angewandte Mathematik und Physik</i>, vol. 72, no. 3, Art. no. 96, 2021, doi: <a href=\"https://doi.org/10.1007/s00033-021-01524-8\">10.1007/s00033-021-01524-8</a>.","ama":"Black T, Fuest M, Lankeit J. Relaxed parameter conditions for chemotactic collapse in logistic-type parabolic–elliptic Keller–Segel systems. <i>Zeitschrift für angewandte Mathematik und Physik</i>. 2021;72(3). doi:<a href=\"https://doi.org/10.1007/s00033-021-01524-8\">10.1007/s00033-021-01524-8</a>","bibtex":"@article{Black_Fuest_Lankeit_2021, title={Relaxed parameter conditions for chemotactic collapse in logistic-type parabolic–elliptic Keller–Segel systems}, volume={72}, DOI={<a href=\"https://doi.org/10.1007/s00033-021-01524-8\">10.1007/s00033-021-01524-8</a>}, number={396}, journal={Zeitschrift für angewandte Mathematik und Physik}, publisher={Springer Science and Business Media LLC}, author={Black, Tobias and Fuest, Mario and Lankeit, Johannes}, year={2021} }","mla":"Black, Tobias, et al. “Relaxed Parameter Conditions for Chemotactic Collapse in Logistic-Type Parabolic–Elliptic Keller–Segel Systems.” <i>Zeitschrift Für Angewandte Mathematik Und Physik</i>, vol. 72, no. 3, 96, Springer Science and Business Media LLC, 2021, doi:<a href=\"https://doi.org/10.1007/s00033-021-01524-8\">10.1007/s00033-021-01524-8</a>."}},{"date_created":"2022-12-21T09:48:45Z","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"type":"journal_article","keyword":["Applied Mathematics","General Physics and Astronomy","General Mathematics"],"publication":"Zeitschrift für angewandte Mathematik und Physik","issue":"4","language":[{"iso":"eng"}],"article_number":"135","doi":"10.1007/s00033-021-01565-z","author":[{"full_name":"Black, Tobias","last_name":"Black","first_name":"Tobias","orcid":"0000-0001-9963-0800","id":"23686"},{"full_name":"Wu, Chunyan","last_name":"Wu","first_name":"Chunyan"}],"publication_identifier":{"issn":["0044-2275","1420-9039"]},"title":"Prescribed signal concentration on the boundary: Weak solvability in a chemotaxis-Stokes system with proliferation","year":"2021","intvolume":"        72","date_updated":"2023-07-10T11:39:30Z","publication_status":"published","citation":{"ieee":"T. Black and C. Wu, “Prescribed signal concentration on the boundary: Weak solvability in a chemotaxis-Stokes system with proliferation,” <i>Zeitschrift für angewandte Mathematik und Physik</i>, vol. 72, no. 4, Art. no. 135, 2021, doi: <a href=\"https://doi.org/10.1007/s00033-021-01565-z\">10.1007/s00033-021-01565-z</a>.","apa":"Black, T., &#38; Wu, C. (2021). Prescribed signal concentration on the boundary: Weak solvability in a chemotaxis-Stokes system with proliferation. <i>Zeitschrift Für Angewandte Mathematik Und Physik</i>, <i>72</i>(4), Article 135. <a href=\"https://doi.org/10.1007/s00033-021-01565-z\">https://doi.org/10.1007/s00033-021-01565-z</a>","chicago":"Black, Tobias, and Chunyan Wu. “Prescribed Signal Concentration on the Boundary: Weak Solvability in a Chemotaxis-Stokes System with Proliferation.” <i>Zeitschrift Für Angewandte Mathematik Und Physik</i> 72, no. 4 (2021). <a href=\"https://doi.org/10.1007/s00033-021-01565-z\">https://doi.org/10.1007/s00033-021-01565-z</a>.","short":"T. Black, C. Wu, Zeitschrift Für Angewandte Mathematik Und Physik 72 (2021).","mla":"Black, Tobias, and Chunyan Wu. “Prescribed Signal Concentration on the Boundary: Weak Solvability in a Chemotaxis-Stokes System with Proliferation.” <i>Zeitschrift Für Angewandte Mathematik Und Physik</i>, vol. 72, no. 4, 135, Springer Science and Business Media LLC, 2021, doi:<a href=\"https://doi.org/10.1007/s00033-021-01565-z\">10.1007/s00033-021-01565-z</a>.","bibtex":"@article{Black_Wu_2021, title={Prescribed signal concentration on the boundary: Weak solvability in a chemotaxis-Stokes system with proliferation}, volume={72}, DOI={<a href=\"https://doi.org/10.1007/s00033-021-01565-z\">10.1007/s00033-021-01565-z</a>}, number={4135}, journal={Zeitschrift für angewandte Mathematik und Physik}, publisher={Springer Science and Business Media LLC}, author={Black, Tobias and Wu, Chunyan}, year={2021} }","ama":"Black T, Wu C. Prescribed signal concentration on the boundary: Weak solvability in a chemotaxis-Stokes system with proliferation. <i>Zeitschrift für angewandte Mathematik und Physik</i>. 2021;72(4). doi:<a href=\"https://doi.org/10.1007/s00033-021-01565-z\">10.1007/s00033-021-01565-z</a>"},"publisher":"Springer Science and Business Media LLC","_id":"34675","volume":72,"user_id":"23686","status":"public"},{"user_id":"37157","volume":117,"page":"431-460","_id":"35952","publisher":"Wissenschaftliche Verlagsgesellschaft mbH","status":"public","citation":{"ama":"Daniel-Söltenfuß D, Schwabl F. Selbstreguliertes Lernen im berufsschulischen Übergangssystem. <i>Zeitschrift für Berufs- und Wirtschaftspädagogik</i>. 2021;117(3):431-460. doi:<a href=\"https://doi.org/10.25162/zbw-2021-0019\">10.25162/zbw-2021-0019</a>","bibtex":"@article{Daniel-Söltenfuß_Schwabl_2021, title={Selbstreguliertes Lernen im berufsschulischen Übergangssystem}, volume={117}, DOI={<a href=\"https://doi.org/10.25162/zbw-2021-0019\">10.25162/zbw-2021-0019</a>}, number={3}, journal={Zeitschrift für Berufs- und Wirtschaftspädagogik}, publisher={Wissenschaftliche Verlagsgesellschaft mbH}, author={Daniel-Söltenfuß, Desiree and Schwabl, Franziska}, year={2021}, pages={431–460} }","mla":"Daniel-Söltenfuß, Desiree, and Franziska Schwabl. “Selbstreguliertes Lernen im berufsschulischen Übergangssystem.” <i>Zeitschrift für Berufs- und Wirtschaftspädagogik</i>, vol. 117, no. 3, Wissenschaftliche Verlagsgesellschaft mbH, 2021, pp. 431–60, doi:<a href=\"https://doi.org/10.25162/zbw-2021-0019\">10.25162/zbw-2021-0019</a>.","chicago":"Daniel-Söltenfuß, Desiree, and Franziska Schwabl. “Selbstreguliertes Lernen im berufsschulischen Übergangssystem.” <i>Zeitschrift für Berufs- und Wirtschaftspädagogik</i> 117, no. 3 (2021): 431–60. <a href=\"https://doi.org/10.25162/zbw-2021-0019\">https://doi.org/10.25162/zbw-2021-0019</a>.","short":"D. Daniel-Söltenfuß, F. Schwabl, Zeitschrift für Berufs- und Wirtschaftspädagogik 117 (2021) 431–460.","apa":"Daniel-Söltenfuß, D., &#38; Schwabl, F. (2021). Selbstreguliertes Lernen im berufsschulischen Übergangssystem. <i>Zeitschrift für Berufs- und Wirtschaftspädagogik</i>, <i>117</i>(3), 431–460. <a href=\"https://doi.org/10.25162/zbw-2021-0019\">https://doi.org/10.25162/zbw-2021-0019</a>","ieee":"D. Daniel-Söltenfuß and F. Schwabl, “Selbstreguliertes Lernen im berufsschulischen Übergangssystem,” <i>Zeitschrift für Berufs- und Wirtschaftspädagogik</i>, vol. 117, no. 3, pp. 431–460, 2021, doi: <a href=\"https://doi.org/10.25162/zbw-2021-0019\">10.25162/zbw-2021-0019</a>."},"doi":"10.25162/zbw-2021-0019","alternative_title":["Zwei Fallbeispiele aus dem Design-Based Research Projekt NeGeL. Two case studies from the design-based research project NeGeL"],"language":[{"iso":"ger"}],"date_updated":"2023-07-18T08:39:13Z","publication_status":"published","intvolume":"       117","title":"Selbstreguliertes Lernen im berufsschulischen Übergangssystem","year":"2021","author":[{"id":"10186","full_name":"Daniel-Söltenfuß, Desiree","first_name":"Desiree","last_name":"Daniel-Söltenfuß"},{"last_name":"Schwabl","first_name":"Franziska","full_name":"Schwabl, Franziska","id":"37157"}],"publication_identifier":{"issn":["0172-2875","2366-2433"]},"keyword":["Applied Mathematics","General Mathematics"],"type":"journal_article","department":[{"_id":"33"},{"_id":"208"}],"date_created":"2023-01-11T09:41:40Z","publication":"Zeitschrift für Berufs- und Wirtschaftspädagogik","issue":"3"},{"date_updated":"2024-04-03T09:14:14Z","publication_status":"published","intvolume":"        41","year":"2020","title":"Finite element error analysis of wave equations with dynamic boundary conditions: <i>L</i>2 estimates","author":[{"last_name":"Hipp","first_name":"David","full_name":"Hipp, David"},{"first_name":"Balázs","last_name":"Kovács","full_name":"Kovács, Balázs"}],"publication_identifier":{"issn":["0272-4979","1464-3642"]},"doi":"10.1093/imanum/drz073","language":[{"iso":"eng"}],"abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title>\r\n               <jats:p>$L^2$ norm error estimates of semi- and full discretizations of wave equations with dynamic boundary conditions, using bulk–surface finite elements and Runge–Kutta methods, are studied. The analysis rests on an abstract formulation and error estimates, via energy techniques, within this abstract setting. Four prototypical linear wave equations with dynamic boundary conditions are analysed, which fit into the abstract framework. For problems with velocity terms or with acoustic boundary conditions we prove surprising results: for such problems the spatial convergence order is shown to be less than 2. These can also be observed in the presented numerical experiments.</jats:p>"}],"issue":"1","publication":"IMA Journal of Numerical Analysis","keyword":["Applied Mathematics","Computational Mathematics","General Mathematics"],"type":"journal_article","department":[{"_id":"841"}],"date_created":"2023-07-10T11:42:43Z","status":"public","user_id":"100441","volume":41,"page":"638-728","publisher":"Oxford University Press (OUP)","_id":"45954","citation":{"short":"D. Hipp, B. Kovács, IMA Journal of Numerical Analysis 41 (2020) 638–728.","chicago":"Hipp, David, and Balázs Kovács. “Finite Element Error Analysis of Wave Equations with Dynamic Boundary Conditions: <i>L</i>2 Estimates.” <i>IMA Journal of Numerical Analysis</i> 41, no. 1 (2020): 638–728. <a href=\"https://doi.org/10.1093/imanum/drz073\">https://doi.org/10.1093/imanum/drz073</a>.","apa":"Hipp, D., &#38; Kovács, B. (2020). Finite element error analysis of wave equations with dynamic boundary conditions: <i>L</i>2 estimates. <i>IMA Journal of Numerical Analysis</i>, <i>41</i>(1), 638–728. <a href=\"https://doi.org/10.1093/imanum/drz073\">https://doi.org/10.1093/imanum/drz073</a>","ieee":"D. Hipp and B. Kovács, “Finite element error analysis of wave equations with dynamic boundary conditions: <i>L</i>2 estimates,” <i>IMA Journal of Numerical Analysis</i>, vol. 41, no. 1, pp. 638–728, 2020, doi: <a href=\"https://doi.org/10.1093/imanum/drz073\">10.1093/imanum/drz073</a>.","ama":"Hipp D, Kovács B. Finite element error analysis of wave equations with dynamic boundary conditions: <i>L</i>2 estimates. <i>IMA Journal of Numerical Analysis</i>. 2020;41(1):638-728. doi:<a href=\"https://doi.org/10.1093/imanum/drz073\">10.1093/imanum/drz073</a>","bibtex":"@article{Hipp_Kovács_2020, title={Finite element error analysis of wave equations with dynamic boundary conditions: <i>L</i>2 estimates}, volume={41}, DOI={<a href=\"https://doi.org/10.1093/imanum/drz073\">10.1093/imanum/drz073</a>}, number={1}, journal={IMA Journal of Numerical Analysis}, publisher={Oxford University Press (OUP)}, author={Hipp, David and Kovács, Balázs}, year={2020}, pages={638–728} }","mla":"Hipp, David, and Balázs Kovács. “Finite Element Error Analysis of Wave Equations with Dynamic Boundary Conditions: <i>L</i>2 Estimates.” <i>IMA Journal of Numerical Analysis</i>, vol. 41, no. 1, Oxford University Press (OUP), 2020, pp. 638–728, doi:<a href=\"https://doi.org/10.1093/imanum/drz073\">10.1093/imanum/drz073</a>."}},{"citation":{"ieee":"D. Hipp and B. Kovács, “Finite element error analysis of wave equations with dynamic boundary conditions: <i>L</i>2 estimates,” <i>IMA Journal of Numerical Analysis</i>, vol. 41, no. 1, pp. 638–728, 2020, doi: <a href=\"https://doi.org/10.1093/imanum/drz073\">10.1093/imanum/drz073</a>.","apa":"Hipp, D., &#38; Kovács, B. (2020). Finite element error analysis of wave equations with dynamic boundary conditions: <i>L</i>2 estimates. <i>IMA Journal of Numerical Analysis</i>, <i>41</i>(1), 638–728. <a href=\"https://doi.org/10.1093/imanum/drz073\">https://doi.org/10.1093/imanum/drz073</a>","short":"D. Hipp, B. Kovács, IMA Journal of Numerical Analysis 41 (2020) 638–728.","chicago":"Hipp, David, and Balázs Kovács. “Finite Element Error Analysis of Wave Equations with Dynamic Boundary Conditions: <i>L</i>2 Estimates.” <i>IMA Journal of Numerical Analysis</i> 41, no. 1 (2020): 638–728. <a href=\"https://doi.org/10.1093/imanum/drz073\">https://doi.org/10.1093/imanum/drz073</a>.","mla":"Hipp, David, and Balázs Kovács. “Finite Element Error Analysis of Wave Equations with Dynamic Boundary Conditions: <i>L</i>2 Estimates.” <i>IMA Journal of Numerical Analysis</i>, vol. 41, no. 1, Oxford University Press (OUP), 2020, pp. 638–728, doi:<a href=\"https://doi.org/10.1093/imanum/drz073\">10.1093/imanum/drz073</a>.","bibtex":"@article{Hipp_Kovács_2020, title={Finite element error analysis of wave equations with dynamic boundary conditions: <i>L</i>2 estimates}, volume={41}, DOI={<a href=\"https://doi.org/10.1093/imanum/drz073\">10.1093/imanum/drz073</a>}, number={1}, journal={IMA Journal of Numerical Analysis}, publisher={Oxford University Press (OUP)}, author={Hipp, David and Kovács, Balázs}, year={2020}, pages={638–728} }","ama":"Hipp D, Kovács B. Finite element error analysis of wave equations with dynamic boundary conditions: <i>L</i>2 estimates. <i>IMA Journal of Numerical Analysis</i>. 2020;41(1):638-728. doi:<a href=\"https://doi.org/10.1093/imanum/drz073\">10.1093/imanum/drz073</a>"},"volume":41,"user_id":"100441","publisher":"Oxford University Press (OUP)","_id":"45953","page":"638-728","status":"public","department":[{"_id":"841"}],"type":"journal_article","keyword":["Applied Mathematics","Computational Mathematics","General Mathematics"],"date_created":"2023-07-10T11:42:31Z","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title>\r\n               <jats:p>$L^2$ norm error estimates of semi- and full discretizations of wave equations with dynamic boundary conditions, using bulk–surface finite elements and Runge–Kutta methods, are studied. The analysis rests on an abstract formulation and error estimates, via energy techniques, within this abstract setting. Four prototypical linear wave equations with dynamic boundary conditions are analysed, which fit into the abstract framework. For problems with velocity terms or with acoustic boundary conditions we prove surprising results: for such problems the spatial convergence order is shown to be less than 2. These can also be observed in the presented numerical experiments.</jats:p>"}],"issue":"1","publication":"IMA Journal of Numerical Analysis","doi":"10.1093/imanum/drz073","language":[{"iso":"eng"}],"intvolume":"        41","date_updated":"2024-04-03T09:20:44Z","publication_status":"published","publication_identifier":{"issn":["0272-4979","1464-3642"]},"author":[{"full_name":"Hipp, David","first_name":"David","last_name":"Hipp"},{"last_name":"Kovács","first_name":"Balázs","orcid":"0000-0001-9872-3474","full_name":"Kovács, Balázs","id":"100441"}],"year":"2020","title":"Finite element error analysis of wave equations with dynamic boundary conditions: <i>L</i>2 estimates"},{"citation":{"chicago":"Feudel, Frank, and Rolf Biehler. “Students’ Understanding of the Derivative Concept in the Context of Mathematics for Economics.” <i>Journal Für Mathematik-Didaktik</i> 42, no. 1 (2020): 273–305. <a href=\"https://doi.org/10.1007/s13138-020-00174-z\">https://doi.org/10.1007/s13138-020-00174-z</a>.","short":"F. Feudel, R. Biehler, Journal Für Mathematik-Didaktik 42 (2020) 273–305.","apa":"Feudel, F., &#38; Biehler, R. (2020). Students’ Understanding of the Derivative Concept in the Context of Mathematics for Economics. <i>Journal Für Mathematik-Didaktik</i>, <i>42</i>(1), 273–305. <a href=\"https://doi.org/10.1007/s13138-020-00174-z\">https://doi.org/10.1007/s13138-020-00174-z</a>","ieee":"F. Feudel and R. Biehler, “Students’ Understanding of the Derivative Concept in the Context of Mathematics for Economics,” <i>Journal für Mathematik-Didaktik</i>, vol. 42, no. 1, pp. 273–305, 2020, doi: <a href=\"https://doi.org/10.1007/s13138-020-00174-z\">10.1007/s13138-020-00174-z</a>.","ama":"Feudel F, Biehler R. Students’ Understanding of the Derivative Concept in the Context of Mathematics for Economics. <i>Journal für Mathematik-Didaktik</i>. 2020;42(1):273-305. doi:<a href=\"https://doi.org/10.1007/s13138-020-00174-z\">10.1007/s13138-020-00174-z</a>","bibtex":"@article{Feudel_Biehler_2020, title={Students’ Understanding of the Derivative Concept in the Context of Mathematics for Economics}, volume={42}, DOI={<a href=\"https://doi.org/10.1007/s13138-020-00174-z\">10.1007/s13138-020-00174-z</a>}, number={1}, journal={Journal für Mathematik-Didaktik}, publisher={Springer Science and Business Media LLC}, author={Feudel, Frank and Biehler, Rolf}, year={2020}, pages={273–305} }","mla":"Feudel, Frank, and Rolf Biehler. “Students’ Understanding of the Derivative Concept in the Context of Mathematics for Economics.” <i>Journal Für Mathematik-Didaktik</i>, vol. 42, no. 1, Springer Science and Business Media LLC, 2020, pp. 273–305, doi:<a href=\"https://doi.org/10.1007/s13138-020-00174-z\">10.1007/s13138-020-00174-z</a>."},"_id":"35822","publisher":"Springer Science and Business Media LLC","page":"273-305","volume":42,"user_id":"37888","status":"public","date_created":"2023-01-10T11:45:46Z","department":[{"_id":"363"}],"keyword":["Education","General Mathematics"],"type":"journal_article","issue":"1","publication":"Journal für Mathematik-Didaktik","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title><jats:p>The derivative concept plays a major role in economics. However, its use in economics is very heterogeneous, sometimes inconsistent, and contradicts students’ prior knowledge from school. This applies in particular to the common economic interpretation of the derivative as the amount of change while increasing the production by one unit. Hence, in calculus courses for economics students, learners should acquire an understanding of the derivative that is mathematically acceptable and connected to their prior knowledge, but which also takes into account its practical use in economics. In this paper we first develop a theoretical model describing such an understanding of the derivative for economics students. We then present an exploratory study investigating the extent to which economics students have such an understanding after their calculus course. The results indicate that many of them might not have acquired this kind of understanding, in particular concerning the common economic interpretation of the derivative. The study furthermore yields possible gaps in students’ understanding and possible misconceptions.</jats:p>"}],"language":[{"iso":"eng"}],"doi":"10.1007/s13138-020-00174-z","publication_identifier":{"issn":["0173-5322","1869-2699"]},"author":[{"first_name":"Frank","last_name":"Feudel","full_name":"Feudel, Frank"},{"full_name":"Biehler, Rolf","last_name":"Biehler","first_name":"Rolf","id":"16274"}],"title":"Students’ Understanding of the Derivative Concept in the Context of Mathematics for Economics","year":"2020","intvolume":"        42","publication_status":"published","date_updated":"2024-04-18T09:53:18Z"},{"citation":{"ama":"Schürmann M, Gildehaus L, Liebendörfer M, et al. Mathematics learning support centres in Germany—an overview. <i>Teaching Mathematics and its Applications: An International Journal of the IMA</i>. 2020;40(2):99-113. doi:<a href=\"https://doi.org/10.1093/teamat/hraa007\">10.1093/teamat/hraa007</a>","bibtex":"@article{Schürmann_Gildehaus_Liebendörfer_Schaper_Biehler_Hochmuth_Kuklinski_Lankeit_2020, title={Mathematics learning support centres in Germany—an overview}, volume={40}, DOI={<a href=\"https://doi.org/10.1093/teamat/hraa007\">10.1093/teamat/hraa007</a>}, number={2}, journal={Teaching Mathematics and its Applications: An International Journal of the IMA}, publisher={Oxford University Press (OUP)}, author={Schürmann, Mirko and Gildehaus, Lara and Liebendörfer, Michael and Schaper, Niclas and Biehler, Rolf and Hochmuth, Reinhard and Kuklinski, Christiane and Lankeit, Elisa}, year={2020}, pages={99–113} }","mla":"Schürmann, Mirko, et al. “Mathematics Learning Support Centres in Germany—an Overview.” <i>Teaching Mathematics and Its Applications: An International Journal of the IMA</i>, vol. 40, no. 2, Oxford University Press (OUP), 2020, pp. 99–113, doi:<a href=\"https://doi.org/10.1093/teamat/hraa007\">10.1093/teamat/hraa007</a>.","chicago":"Schürmann, Mirko, Lara Gildehaus, Michael Liebendörfer, Niclas Schaper, Rolf Biehler, Reinhard Hochmuth, Christiane Kuklinski, and Elisa Lankeit. “Mathematics Learning Support Centres in Germany—an Overview.” <i>Teaching Mathematics and Its Applications: An International Journal of the IMA</i> 40, no. 2 (2020): 99–113. <a href=\"https://doi.org/10.1093/teamat/hraa007\">https://doi.org/10.1093/teamat/hraa007</a>.","short":"M. Schürmann, L. Gildehaus, M. Liebendörfer, N. Schaper, R. Biehler, R. Hochmuth, C. Kuklinski, E. Lankeit, Teaching Mathematics and Its Applications: An International Journal of the IMA 40 (2020) 99–113.","apa":"Schürmann, M., Gildehaus, L., Liebendörfer, M., Schaper, N., Biehler, R., Hochmuth, R., Kuklinski, C., &#38; Lankeit, E. (2020). Mathematics learning support centres in Germany—an overview. <i>Teaching Mathematics and Its Applications: An International Journal of the IMA</i>, <i>40</i>(2), 99–113. <a href=\"https://doi.org/10.1093/teamat/hraa007\">https://doi.org/10.1093/teamat/hraa007</a>","ieee":"M. Schürmann <i>et al.</i>, “Mathematics learning support centres in Germany—an overview,” <i>Teaching Mathematics and its Applications: An International Journal of the IMA</i>, vol. 40, no. 2, pp. 99–113, 2020, doi: <a href=\"https://doi.org/10.1093/teamat/hraa007\">10.1093/teamat/hraa007</a>."},"user_id":"37888","volume":40,"page":"99-113","publisher":"Oxford University Press (OUP)","_id":"35712","status":"public","keyword":["Education","General Mathematics"],"type":"journal_article","department":[{"_id":"423"},{"_id":"363"},{"_id":"625"}],"date_created":"2023-01-10T09:14:31Z","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title>\r\n               <jats:p>Mathematics learning support centres (MLSC) are widely established and evaluated in English-speaking countries (such as the UK, Ireland and Australia). In most of these countries, several national surveys on MLSCs exist. They give an overview of the number of MLSCs as well as their characteristics in these countries. In Germany, there is a lack of studies on MLSCs and the landscape of MLSCs has not been described yet. This article presents basic information concerning counts of MLSCs and their characteristics at universities. Based on a three-step approach of analysing university homepages and additional personal contact via email or phone calls, we gathered typical MLSC features (e.g. staff quantities and qualification, opening and support hours, supported study programmes). We analysed 190 universities from a web-based register on study programmes. In total, we found 61 MLSCs located at 51 German universities. Another 16 support centres were specialized on mathematics didactics, which means they focussed on didactical and methodological support for preservice teacher students and often provided different teaching materials. Thirty-eight centres were located at universities (62.3%) and 23 MLSCs at universities of applied sciences and comparable universities (37.7%). The MLSCs were different in their sizes of staff and opening hours, and both the numbers of staff and the service hours differed greatly. The student groups MLSCs at German universities focus on differ concerning characteristics like study programme or semester. We will provide the main categories describing these groups. We seek to answer research questions concerning the characteristics of MLSCs in Germany and discuss the results compared to international findings. This information is useful for further international collaborative research, for example a standardized international survey. From a national perspective, these findings support networking and collaborations between the MLSCs as well. As some German MLSCs are facing financial cuts, these results might help in gaining additional funding.</jats:p>"}],"issue":"2","publication":"Teaching Mathematics and its Applications: An International Journal of the IMA","doi":"10.1093/teamat/hraa007","language":[{"iso":"eng"}],"publication_status":"published","date_updated":"2024-04-18T10:10:15Z","intvolume":"        40","title":"Mathematics learning support centres in Germany—an overview","year":"2020","publication_identifier":{"issn":["0268-3679","1471-6976"]},"author":[{"id":"59707","full_name":"Schürmann, Mirko","orcid":"0000-0003-2646-085X","last_name":"Schürmann","first_name":"Mirko"},{"first_name":"Lara","last_name":"Gildehaus","full_name":"Gildehaus, Lara"},{"last_name":"Liebendörfer","first_name":"Michael","orcid":"0000-0001-9887-2074","full_name":"Liebendörfer, Michael","id":"30933"},{"full_name":"Schaper, Niclas","last_name":"Schaper","first_name":"Niclas"},{"full_name":"Biehler, Rolf","last_name":"Biehler","first_name":"Rolf","id":"16274"},{"full_name":"Hochmuth, Reinhard","last_name":"Hochmuth","first_name":"Reinhard"},{"full_name":"Kuklinski, Christiane","first_name":"Christiane","last_name":"Kuklinski"},{"full_name":"Lankeit, Elisa","first_name":"Elisa","last_name":"Lankeit"}]},{"issue":"1","publication":"Zeitschrift für Berufs- und Wirtschaftspädagogik","department":[{"_id":"33"},{"_id":"208"}],"keyword":["Applied Mathematics","General Mathematics"],"type":"journal_article","date_created":"2023-01-11T09:42:16Z","intvolume":"       116","date_updated":"2023-07-18T08:38:52Z","publication_status":"published","publication_identifier":{"issn":["0172-2875","2366-2433"]},"author":[{"first_name":"Franziska","last_name":"Schwabl","full_name":"Schwabl, Franziska","id":"37157"},{"full_name":"Janssen, Elmar A.","first_name":"Elmar A.","last_name":"Janssen"},{"first_name":"Peter F. E.","last_name":"Sloane","full_name":"Sloane, Peter F. E."}],"title":"Sprachsensible Formulierung von Erhebungsinstrumenten","year":"2020","alternative_title":["Exemplarisch veranschaulicht anhand der Validierung der für den Einsatz im berufsschulischen Übergangssystem reformulierten Fassung eines Fragebogens zur Selbsteinschätzung der Lerngewohnheiten. Illustrated by the validation of a questionnaire on reflecting learning habits, reformulated for the use in the German VET transition system"],"doi":"10.25162/zbw-2020-0005","language":[{"iso":"ger"}],"citation":{"ama":"Schwabl F, Janssen EA, Sloane PFE. Sprachsensible Formulierung von Erhebungsinstrumenten. <i>Zeitschrift für Berufs- und Wirtschaftspädagogik</i>. 2020;116(1):138-152. doi:<a href=\"https://doi.org/10.25162/zbw-2020-0005\">10.25162/zbw-2020-0005</a>","bibtex":"@article{Schwabl_Janssen_Sloane_2020, title={Sprachsensible Formulierung von Erhebungsinstrumenten}, volume={116}, DOI={<a href=\"https://doi.org/10.25162/zbw-2020-0005\">10.25162/zbw-2020-0005</a>}, number={1}, journal={Zeitschrift für Berufs- und Wirtschaftspädagogik}, publisher={Wissenschaftliche Verlagsgesellschaft mbH}, author={Schwabl, Franziska and Janssen, Elmar A. and Sloane, Peter F. E.}, year={2020}, pages={138–152} }","mla":"Schwabl, Franziska, et al. “Sprachsensible Formulierung von Erhebungsinstrumenten.” <i>Zeitschrift für Berufs- und Wirtschaftspädagogik</i>, vol. 116, no. 1, Wissenschaftliche Verlagsgesellschaft mbH, 2020, pp. 138–52, doi:<a href=\"https://doi.org/10.25162/zbw-2020-0005\">10.25162/zbw-2020-0005</a>.","short":"F. Schwabl, E.A. Janssen, P.F.E. Sloane, Zeitschrift für Berufs- und Wirtschaftspädagogik 116 (2020) 138–152.","chicago":"Schwabl, Franziska, Elmar A. Janssen, and Peter F. E. Sloane. “Sprachsensible Formulierung von Erhebungsinstrumenten.” <i>Zeitschrift für Berufs- und Wirtschaftspädagogik</i> 116, no. 1 (2020): 138–52. <a href=\"https://doi.org/10.25162/zbw-2020-0005\">https://doi.org/10.25162/zbw-2020-0005</a>.","apa":"Schwabl, F., Janssen, E. A., &#38; Sloane, P. F. E. (2020). Sprachsensible Formulierung von Erhebungsinstrumenten. <i>Zeitschrift für Berufs- und Wirtschaftspädagogik</i>, <i>116</i>(1), 138–152. <a href=\"https://doi.org/10.25162/zbw-2020-0005\">https://doi.org/10.25162/zbw-2020-0005</a>","ieee":"F. Schwabl, E. A. Janssen, and P. F. E. Sloane, “Sprachsensible Formulierung von Erhebungsinstrumenten,” <i>Zeitschrift für Berufs- und Wirtschaftspädagogik</i>, vol. 116, no. 1, pp. 138–152, 2020, doi: <a href=\"https://doi.org/10.25162/zbw-2020-0005\">10.25162/zbw-2020-0005</a>."},"status":"public","volume":116,"user_id":"37157","_id":"35953","publisher":"Wissenschaftliche Verlagsgesellschaft mbH","page":"138-152"},{"page":"138-152","_id":"46581","publisher":"Wissenschaftliche Verlagsgesellschaft mbH","user_id":"21192","volume":116,"status":"public","citation":{"ama":"Schwabl F, Janssen E, Sloane PFE. Sprachsensible Formulierung von Erhebungsinstrumenten. <i>Zeitschrift für Berufs- und Wirtschaftspädagogik</i>. 2020;116(1):138-152. doi:<a href=\"https://doi.org/10.25162/zbw-2020-0005\">10.25162/zbw-2020-0005</a>","bibtex":"@article{Schwabl_Janssen_Sloane_2020, title={Sprachsensible Formulierung von Erhebungsinstrumenten}, volume={116}, DOI={<a href=\"https://doi.org/10.25162/zbw-2020-0005\">10.25162/zbw-2020-0005</a>}, number={1}, journal={Zeitschrift für Berufs- und Wirtschaftspädagogik}, publisher={Wissenschaftliche Verlagsgesellschaft mbH}, author={Schwabl, Franziska and Janssen, Elmar and Sloane, Peter F. E.}, year={2020}, pages={138–152} }","mla":"Schwabl, Franziska, et al. “Sprachsensible Formulierung von Erhebungsinstrumenten.” <i>Zeitschrift für Berufs- und Wirtschaftspädagogik</i>, vol. 116, no. 1, Wissenschaftliche Verlagsgesellschaft mbH, 2020, pp. 138–52, doi:<a href=\"https://doi.org/10.25162/zbw-2020-0005\">10.25162/zbw-2020-0005</a>.","chicago":"Schwabl, Franziska, Elmar Janssen, and Peter F. E. Sloane. “Sprachsensible Formulierung von Erhebungsinstrumenten.” <i>Zeitschrift für Berufs- und Wirtschaftspädagogik</i> 116, no. 1 (2020): 138–52. <a href=\"https://doi.org/10.25162/zbw-2020-0005\">https://doi.org/10.25162/zbw-2020-0005</a>.","short":"F. Schwabl, E. Janssen, P.F.E. Sloane, Zeitschrift für Berufs- und Wirtschaftspädagogik 116 (2020) 138–152.","apa":"Schwabl, F., Janssen, E., &#38; Sloane, P. F. E. (2020). Sprachsensible Formulierung von Erhebungsinstrumenten. <i>Zeitschrift für Berufs- und Wirtschaftspädagogik</i>, <i>116</i>(1), 138–152. <a href=\"https://doi.org/10.25162/zbw-2020-0005\">https://doi.org/10.25162/zbw-2020-0005</a>","ieee":"F. Schwabl, E. Janssen, and P. F. E. Sloane, “Sprachsensible Formulierung von Erhebungsinstrumenten,” <i>Zeitschrift für Berufs- und Wirtschaftspädagogik</i>, vol. 116, no. 1, pp. 138–152, 2020, doi: <a href=\"https://doi.org/10.25162/zbw-2020-0005\">10.25162/zbw-2020-0005</a>."},"language":[{"iso":"ger"}],"doi":"10.25162/zbw-2020-0005","alternative_title":["Exemplarisch veranschaulicht anhand der Validierung der für den Einsatz im berufsschulischen Übergangssystem reformulierten Fassung eines Fragebogens zur Selbsteinschätzung der Lerngewohnheiten. Illustrated by the validation of a questionnaire on reflecting learning habits, reformulated for the use in the German VET transition system"],"year":"2020","title":"Sprachsensible Formulierung von Erhebungsinstrumenten","author":[{"full_name":"Schwabl, Franziska","last_name":"Schwabl","first_name":"Franziska"},{"last_name":"Janssen","first_name":"Elmar","full_name":"Janssen, Elmar","id":"21192"},{"full_name":"Sloane, Peter F. E.","last_name":"Sloane","first_name":"Peter F. E."}],"publication_identifier":{"issn":["0172-2875","2366-2433"]},"publication_status":"published","date_updated":"2023-08-21T11:00:29Z","intvolume":"       116","date_created":"2023-08-21T06:25:21Z","type":"journal_article","keyword":["Applied Mathematics","General Mathematics"],"publication":"Zeitschrift für Berufs- und Wirtschaftspädagogik","issue":"1"},{"citation":{"mla":"Black, Tobias, et al. “A Keller‐Segel‐fluid System with Singular Sensitivity: Generalized Solutions.” <i>Mathematical Methods in the Applied Sciences</i>, vol. 42, no. 9, Wiley, 2019, pp. 3002–20, doi:<a href=\"https://doi.org/10.1002/mma.5561\">10.1002/mma.5561</a>.","apa":"Black, T., Lankeit, J., &#38; Mizukami, M. (2019). A Keller‐Segel‐fluid system with singular sensitivity: Generalized solutions. <i>Mathematical Methods in the Applied Sciences</i>, <i>42</i>(9), 3002–3020. <a href=\"https://doi.org/10.1002/mma.5561\">https://doi.org/10.1002/mma.5561</a>","ieee":"T. Black, J. Lankeit, and M. Mizukami, “A Keller‐Segel‐fluid system with singular sensitivity: Generalized solutions,” <i>Mathematical Methods in the Applied Sciences</i>, vol. 42, no. 9, pp. 3002–3020, 2019, doi: <a href=\"https://doi.org/10.1002/mma.5561\">10.1002/mma.5561</a>.","chicago":"Black, Tobias, Johannes Lankeit, and Masaaki Mizukami. “A Keller‐Segel‐fluid System with Singular Sensitivity: Generalized Solutions.” <i>Mathematical Methods in the Applied Sciences</i> 42, no. 9 (2019): 3002–20. <a href=\"https://doi.org/10.1002/mma.5561\">https://doi.org/10.1002/mma.5561</a>.","ama":"Black T, Lankeit J, Mizukami M. A Keller‐Segel‐fluid system with singular sensitivity: Generalized solutions. <i>Mathematical Methods in the Applied Sciences</i>. 2019;42(9):3002-3020. doi:<a href=\"https://doi.org/10.1002/mma.5561\">10.1002/mma.5561</a>","short":"T. Black, J. Lankeit, M. Mizukami, Mathematical Methods in the Applied Sciences 42 (2019) 3002–3020.","bibtex":"@article{Black_Lankeit_Mizukami_2019, title={A Keller‐Segel‐fluid system with singular sensitivity: Generalized solutions}, volume={42}, DOI={<a href=\"https://doi.org/10.1002/mma.5561\">10.1002/mma.5561</a>}, number={9}, journal={Mathematical Methods in the Applied Sciences}, publisher={Wiley}, author={Black, Tobias and Lankeit, Johannes and Mizukami, Masaaki}, year={2019}, pages={3002–3020} }"},"status":"public","user_id":"23686","volume":42,"page":"3002-3020","_id":"34668","publisher":"Wiley","publication":"Mathematical Methods in the Applied Sciences","issue":"9","type":"journal_article","keyword":["General Engineering","General Mathematics"],"department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"date_created":"2022-12-21T09:47:47Z","publication_status":"published","date_updated":"2022-12-21T10:04:36Z","intvolume":"        42","title":"A Keller‐Segel‐fluid system with singular sensitivity: Generalized solutions","year":"2019","publication_identifier":{"issn":["0170-4214","1099-1476"]},"author":[{"full_name":"Black, Tobias","last_name":"Black","first_name":"Tobias","orcid":"0000-0001-9963-0800","id":"23686"},{"first_name":"Johannes","last_name":"Lankeit","full_name":"Lankeit, Johannes"},{"first_name":"Masaaki","last_name":"Mizukami","full_name":"Mizukami, Masaaki"}],"doi":"10.1002/mma.5561","language":[{"iso":"eng"}]},{"citation":{"mla":"Dyatlov, Semyon, et al. “Improved Fractal Weyl Bounds for Hyperbolic Manifolds. With an Appendix by David Borthwick, Semyon Dyatlov and Tobias Weich.” <i>Journal of the European Mathematical Society</i>, vol. 21, no. 6, European Mathematical Society - EMS - Publishing House GmbH, 2019, pp. 1595–639, doi:<a href=\"https://doi.org/10.4171/jems/867\">10.4171/jems/867</a>.","ama":"Dyatlov S, Borthwick D, Weich T. Improved fractal Weyl bounds for hyperbolic manifolds. With an appendix by David Borthwick, Semyon Dyatlov and Tobias Weich. <i>Journal of the European Mathematical Society</i>. 2019;21(6):1595-1639. doi:<a href=\"https://doi.org/10.4171/jems/867\">10.4171/jems/867</a>","bibtex":"@article{Dyatlov_Borthwick_Weich_2019, title={Improved fractal Weyl bounds for hyperbolic manifolds. With an appendix by David Borthwick, Semyon Dyatlov and Tobias Weich}, volume={21}, DOI={<a href=\"https://doi.org/10.4171/jems/867\">10.4171/jems/867</a>}, number={6}, journal={Journal of the European Mathematical Society}, publisher={European Mathematical Society - EMS - Publishing House GmbH}, author={Dyatlov, Semyon and Borthwick, David and Weich, Tobias}, year={2019}, pages={1595–1639} }","apa":"Dyatlov, S., Borthwick, D., &#38; Weich, T. (2019). Improved fractal Weyl bounds for hyperbolic manifolds. With an appendix by David Borthwick, Semyon Dyatlov and Tobias Weich. <i>Journal of the European Mathematical Society</i>, <i>21</i>(6), 1595–1639. <a href=\"https://doi.org/10.4171/jems/867\">https://doi.org/10.4171/jems/867</a>","ieee":"S. Dyatlov, D. Borthwick, and T. Weich, “Improved fractal Weyl bounds for hyperbolic manifolds. With an appendix by David Borthwick, Semyon Dyatlov and Tobias Weich,” <i>Journal of the European Mathematical Society</i>, vol. 21, no. 6, pp. 1595–1639, 2019, doi: <a href=\"https://doi.org/10.4171/jems/867\">10.4171/jems/867</a>.","chicago":"Dyatlov, Semyon, David Borthwick, and Tobias Weich. “Improved Fractal Weyl Bounds for Hyperbolic Manifolds. With an Appendix by David Borthwick, Semyon Dyatlov and Tobias Weich.” <i>Journal of the European Mathematical Society</i> 21, no. 6 (2019): 1595–1639. <a href=\"https://doi.org/10.4171/jems/867\">https://doi.org/10.4171/jems/867</a>.","short":"S. Dyatlov, D. Borthwick, T. Weich, Journal of the European Mathematical Society 21 (2019) 1595–1639."},"external_id":{"arxiv":["1512.00836"]},"status":"public","volume":21,"user_id":"49178","_id":"31265","publisher":"European Mathematical Society - EMS - Publishing House GmbH","page":"1595-1639","issue":"6","publication":"Journal of the European Mathematical Society","department":[{"_id":"10"},{"_id":"623"},{"_id":"548"}],"keyword":["Applied Mathematics","General Mathematics"],"type":"journal_article","date_created":"2022-05-17T12:06:41Z","intvolume":"        21","date_updated":"2022-05-19T10:12:59Z","publication_status":"published","publication_identifier":{"issn":["1435-9855"]},"author":[{"last_name":"Dyatlov","first_name":"Semyon","full_name":"Dyatlov, Semyon"},{"full_name":"Borthwick, David","last_name":"Borthwick","first_name":"David"},{"id":"49178","full_name":"Weich, Tobias","first_name":"Tobias","last_name":"Weich","orcid":"0000-0002-9648-6919"}],"title":"Improved fractal Weyl bounds for hyperbolic manifolds. With an appendix by David Borthwick, Semyon Dyatlov and Tobias Weich","year":"2019","doi":"10.4171/jems/867","language":[{"iso":"eng"}]},{"citation":{"mla":"Küster, Benjamin, and Tobias Weich. “Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces.” <i>International Mathematics Research Notices</i>, vol. 2021, no. 11, Oxford University Press (OUP), 2019, pp. 8225–96, doi:<a href=\"https://doi.org/10.1093/imrn/rnz068\">10.1093/imrn/rnz068</a>.","ama":"Küster B, Weich T. Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces. <i>International Mathematics Research Notices</i>. 2019;2021(11):8225-8296. doi:<a href=\"https://doi.org/10.1093/imrn/rnz068\">10.1093/imrn/rnz068</a>","bibtex":"@article{Küster_Weich_2019, title={Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces}, volume={2021}, DOI={<a href=\"https://doi.org/10.1093/imrn/rnz068\">10.1093/imrn/rnz068</a>}, number={11}, journal={International Mathematics Research Notices}, publisher={Oxford University Press (OUP)}, author={Küster, Benjamin and Weich, Tobias}, year={2019}, pages={8225–8296} }","apa":"Küster, B., &#38; Weich, T. (2019). Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces. <i>International Mathematics Research Notices</i>, <i>2021</i>(11), 8225–8296. <a href=\"https://doi.org/10.1093/imrn/rnz068\">https://doi.org/10.1093/imrn/rnz068</a>","ieee":"B. Küster and T. Weich, “Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces,” <i>International Mathematics Research Notices</i>, vol. 2021, no. 11, pp. 8225–8296, 2019, doi: <a href=\"https://doi.org/10.1093/imrn/rnz068\">10.1093/imrn/rnz068</a>.","chicago":"Küster, Benjamin, and Tobias Weich. “Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces.” <i>International Mathematics Research Notices</i> 2021, no. 11 (2019): 8225–96. <a href=\"https://doi.org/10.1093/imrn/rnz068\">https://doi.org/10.1093/imrn/rnz068</a>.","short":"B. Küster, T. Weich, International Mathematics Research Notices 2021 (2019) 8225–8296."},"_id":"53416","publisher":"Oxford University Press (OUP)","page":"8225-8296","volume":2021,"user_id":"70575","status":"public","date_created":"2024-04-11T12:33:46Z","department":[{"_id":"548"}],"type":"journal_article","keyword":["General Mathematics"],"issue":"11","publication":"International Mathematics Research Notices","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title>\r\n               <jats:p>For a compact Riemannian locally symmetric space $\\mathcal M$ of rank 1 and an associated vector bundle $\\mathbf V_{\\tau }$ over the unit cosphere bundle $S^{\\ast }\\mathcal M$, we give a precise description of those classical (Pollicott–Ruelle) resonant states on $\\mathbf V_{\\tau }$ that vanish under covariant derivatives in the Anosov-unstable directions of the chaotic geodesic flow on $S^{\\ast }\\mathcal M$. In particular, we show that they are isomorphically mapped by natural pushforwards into generalized common eigenspaces of the algebra of invariant differential operators $D(G,\\sigma )$ on compatible associated vector bundles $\\mathbf W_{\\sigma }$ over $\\mathcal M$. As a consequence of this description, we obtain an exact band structure of the Pollicott–Ruelle spectrum. Further, under some mild assumptions on the representations $\\tau$ and $\\sigma$ defining the bundles $\\mathbf V_{\\tau }$ and $\\mathbf W_{\\sigma }$, we obtain a very explicit description of the generalized common eigenspaces. This allows us to relate classical Pollicott–Ruelle resonances to quantum eigenvalues of a Laplacian in a suitable Hilbert space of sections of $\\mathbf W_{\\sigma }$. Our methods of proof are based on representation theory and Lie theory.</jats:p>"}],"language":[{"iso":"eng"}],"doi":"10.1093/imrn/rnz068","author":[{"full_name":"Küster, Benjamin","last_name":"Küster","first_name":"Benjamin"},{"full_name":"Weich, Tobias","first_name":"Tobias","orcid":"0000-0002-9648-6919","last_name":"Weich","id":"49178"}],"publication_identifier":{"issn":["1073-7928","1687-0247"]},"year":"2019","title":"Quantum-Classical Correspondence on Associated Vector Bundles Over Locally Symmetric Spaces","intvolume":"      2021","date_updated":"2024-04-11T12:36:33Z","publication_status":"published"},{"date_updated":"2024-04-18T09:01:40Z","publication_status":"published","intvolume":"        32","year":"2019","title":"Vocabulary in learning processes towards conceptual understanding of equivalent fractions—specifying students’ language demands on the basis of lexical trace analyses","author":[{"id":"85190","last_name":"Wessel","first_name":"Lena","full_name":"Wessel, Lena"}],"publication_identifier":{"issn":["1033-2170","2211-050X"]},"doi":"10.1007/s13394-019-00284-z","language":[{"iso":"eng"}],"abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title><jats:p>Although the teaching of vocabulary in mathematics lessons is requested in content- and language-integrated lesson designs, the clarification of the specific lexical language demands is still an open question for many mathematical topics. In a content- and language-integrated lesson design towards understanding the concept of equivalent fractions, the vocabulary (words and phrases) used by 17 students has been analyzed with qualitative means of data analysis. The qualitative in-depth analyses underline the importance of meaning-related vocabulary for making structural relations between the fractions in view explicit. Quantitative analyses of inventoried vocabulary for the four categories “self-initiated by students,” “triggered by teaching material,” “triggered by teacher,” or “triggered by peers” show the relations of collective and autonomous vocabularies from which the students retrieve their lexical means in oral and written language production.</jats:p>"}],"publication":"Mathematics Education Research Journal","issue":"4","type":"journal_article","keyword":["Education","General Mathematics"],"department":[{"_id":"643"}],"date_created":"2023-07-26T10:03:33Z","status":"public","user_id":"37888","volume":32,"page":"653-681","publisher":"Springer Science and Business Media LLC","_id":"46156","citation":{"apa":"Wessel, L. (2019). Vocabulary in learning processes towards conceptual understanding of equivalent fractions—specifying students’ language demands on the basis of lexical trace analyses. <i>Mathematics Education Research Journal</i>, <i>32</i>(4), 653–681. <a href=\"https://doi.org/10.1007/s13394-019-00284-z\">https://doi.org/10.1007/s13394-019-00284-z</a>","ieee":"L. Wessel, “Vocabulary in learning processes towards conceptual understanding of equivalent fractions—specifying students’ language demands on the basis of lexical trace analyses,” <i>Mathematics Education Research Journal</i>, vol. 32, no. 4, pp. 653–681, 2019, doi: <a href=\"https://doi.org/10.1007/s13394-019-00284-z\">10.1007/s13394-019-00284-z</a>.","chicago":"Wessel, Lena. “Vocabulary in Learning Processes towards Conceptual Understanding of Equivalent Fractions—Specifying Students’ Language Demands on the Basis of Lexical Trace Analyses.” <i>Mathematics Education Research Journal</i> 32, no. 4 (2019): 653–81. <a href=\"https://doi.org/10.1007/s13394-019-00284-z\">https://doi.org/10.1007/s13394-019-00284-z</a>.","short":"L. Wessel, Mathematics Education Research Journal 32 (2019) 653–681.","mla":"Wessel, Lena. “Vocabulary in Learning Processes towards Conceptual Understanding of Equivalent Fractions—Specifying Students’ Language Demands on the Basis of Lexical Trace Analyses.” <i>Mathematics Education Research Journal</i>, vol. 32, no. 4, Springer Science and Business Media LLC, 2019, pp. 653–81, doi:<a href=\"https://doi.org/10.1007/s13394-019-00284-z\">10.1007/s13394-019-00284-z</a>.","ama":"Wessel L. Vocabulary in learning processes towards conceptual understanding of equivalent fractions—specifying students’ language demands on the basis of lexical trace analyses. <i>Mathematics Education Research Journal</i>. 2019;32(4):653-681. doi:<a href=\"https://doi.org/10.1007/s13394-019-00284-z\">10.1007/s13394-019-00284-z</a>","bibtex":"@article{Wessel_2019, title={Vocabulary in learning processes towards conceptual understanding of equivalent fractions—specifying students’ language demands on the basis of lexical trace analyses}, volume={32}, DOI={<a href=\"https://doi.org/10.1007/s13394-019-00284-z\">10.1007/s13394-019-00284-z</a>}, number={4}, journal={Mathematics Education Research Journal}, publisher={Springer Science and Business Media LLC}, author={Wessel, Lena}, year={2019}, pages={653–681} }"}},{"intvolume":"        21","date_updated":"2024-04-18T09:18:58Z","publication_status":"published","author":[{"full_name":"Barwell, Richard","first_name":"Richard","last_name":"Barwell"},{"id":"85190","full_name":"Wessel, Lena","last_name":"Wessel","first_name":"Lena"},{"last_name":"Parra","first_name":"Aldo","full_name":"Parra, Aldo"}],"publication_identifier":{"issn":["1479-4802","1754-0178"]},"title":"Language diversity and mathematics education: new developments","year":"2019","doi":"10.1080/14794802.2019.1638824","language":[{"iso":"eng"}],"publication":"Research in Mathematics Education","issue":"2","department":[{"_id":"643"}],"type":"journal_article","keyword":["General Mathematics","Education"],"date_created":"2023-10-19T09:32:44Z","status":"public","volume":21,"user_id":"37888","publisher":"Informa UK Limited","_id":"48324","page":"113-118","citation":{"mla":"Barwell, Richard, et al. “Language Diversity and Mathematics Education: New Developments.” <i>Research in Mathematics Education</i>, vol. 21, no. 2, Informa UK Limited, 2019, pp. 113–18, doi:<a href=\"https://doi.org/10.1080/14794802.2019.1638824\">10.1080/14794802.2019.1638824</a>.","ama":"Barwell R, Wessel L, Parra A. Language diversity and mathematics education: new developments. <i>Research in Mathematics Education</i>. 2019;21(2):113-118. doi:<a href=\"https://doi.org/10.1080/14794802.2019.1638824\">10.1080/14794802.2019.1638824</a>","bibtex":"@article{Barwell_Wessel_Parra_2019, title={Language diversity and mathematics education: new developments}, volume={21}, DOI={<a href=\"https://doi.org/10.1080/14794802.2019.1638824\">10.1080/14794802.2019.1638824</a>}, number={2}, journal={Research in Mathematics Education}, publisher={Informa UK Limited}, author={Barwell, Richard and Wessel, Lena and Parra, Aldo}, year={2019}, pages={113–118} }","apa":"Barwell, R., Wessel, L., &#38; Parra, A. (2019). Language diversity and mathematics education: new developments. <i>Research in Mathematics Education</i>, <i>21</i>(2), 113–118. <a href=\"https://doi.org/10.1080/14794802.2019.1638824\">https://doi.org/10.1080/14794802.2019.1638824</a>","ieee":"R. Barwell, L. Wessel, and A. Parra, “Language diversity and mathematics education: new developments,” <i>Research in Mathematics Education</i>, vol. 21, no. 2, pp. 113–118, 2019, doi: <a href=\"https://doi.org/10.1080/14794802.2019.1638824\">10.1080/14794802.2019.1638824</a>.","chicago":"Barwell, Richard, Lena Wessel, and Aldo Parra. “Language Diversity and Mathematics Education: New Developments.” <i>Research in Mathematics Education</i> 21, no. 2 (2019): 113–18. <a href=\"https://doi.org/10.1080/14794802.2019.1638824\">https://doi.org/10.1080/14794802.2019.1638824</a>.","short":"R. Barwell, L. Wessel, A. Parra, Research in Mathematics Education 21 (2019) 113–118."}},{"date_created":"2022-12-23T11:03:41Z","keyword":["General Mathematics"],"type":"journal_article","department":[{"_id":"102"}],"publication":"Archiv der Mathematik","issue":"4","abstract":[{"lang":"eng","text":"We describe the determinants of the automorphism groups of Hermitian lattices over local fields. Using a result of G. Shimura, this yields an explicit method to compute the special genera in a given genus of Hermitian lattices over a number field."}],"language":[{"iso":"eng"}],"doi":"10.1007/s00013-019-01348-z","year":"2019","title":"Determinant groups of Hermitian lattices over local fields","publication_identifier":{"issn":["0003-889X","1420-8938"]},"author":[{"id":"82258","first_name":"Markus","last_name":"Kirschmer","full_name":"Kirschmer, Markus"}],"date_updated":"2023-04-04T09:05:04Z","publication_status":"published","intvolume":"       113","citation":{"mla":"Kirschmer, Markus. “Determinant Groups of Hermitian Lattices over Local Fields.” <i>Archiv Der Mathematik</i>, vol. 113, no. 4, Springer Science and Business Media LLC, 2019, pp. 337–47, doi:<a href=\"https://doi.org/10.1007/s00013-019-01348-z\">10.1007/s00013-019-01348-z</a>.","ama":"Kirschmer M. Determinant groups of Hermitian lattices over local fields. <i>Archiv der Mathematik</i>. 2019;113(4):337-347. doi:<a href=\"https://doi.org/10.1007/s00013-019-01348-z\">10.1007/s00013-019-01348-z</a>","bibtex":"@article{Kirschmer_2019, title={Determinant groups of Hermitian lattices over local fields}, volume={113}, DOI={<a href=\"https://doi.org/10.1007/s00013-019-01348-z\">10.1007/s00013-019-01348-z</a>}, number={4}, journal={Archiv der Mathematik}, publisher={Springer Science and Business Media LLC}, author={Kirschmer, Markus}, year={2019}, pages={337–347} }","apa":"Kirschmer, M. (2019). Determinant groups of Hermitian lattices over local fields. <i>Archiv Der Mathematik</i>, <i>113</i>(4), 337–347. <a href=\"https://doi.org/10.1007/s00013-019-01348-z\">https://doi.org/10.1007/s00013-019-01348-z</a>","ieee":"M. Kirschmer, “Determinant groups of Hermitian lattices over local fields,” <i>Archiv der Mathematik</i>, vol. 113, no. 4, pp. 337–347, 2019, doi: <a href=\"https://doi.org/10.1007/s00013-019-01348-z\">10.1007/s00013-019-01348-z</a>.","chicago":"Kirschmer, Markus. “Determinant Groups of Hermitian Lattices over Local Fields.” <i>Archiv Der Mathematik</i> 113, no. 4 (2019): 337–47. <a href=\"https://doi.org/10.1007/s00013-019-01348-z\">https://doi.org/10.1007/s00013-019-01348-z</a>.","short":"M. Kirschmer, Archiv Der Mathematik 113 (2019) 337–347."},"page":"337-347","publisher":"Springer Science and Business Media LLC","_id":"34915","user_id":"93826","volume":113,"status":"public"},{"citation":{"mla":"Karátson, János, et al. “Discrete Maximum Principles for Nonlinear Elliptic Finite Element Problems on Surfaces with Boundary.” <i>IMA Journal of Numerical Analysis</i>, vol. 40, no. 2, Oxford University Press (OUP), 2018, pp. 1241–65, doi:<a href=\"https://doi.org/10.1093/imanum/dry086\">10.1093/imanum/dry086</a>.","ama":"Karátson J, Kovács B, Korotov S. Discrete maximum principles for nonlinear elliptic finite element problems on surfaces with boundary. <i>IMA Journal of Numerical Analysis</i>. 2018;40(2):1241-1265. doi:<a href=\"https://doi.org/10.1093/imanum/dry086\">10.1093/imanum/dry086</a>","bibtex":"@article{Karátson_Kovács_Korotov_2018, title={Discrete maximum principles for nonlinear elliptic finite element problems on surfaces with boundary}, volume={40}, DOI={<a href=\"https://doi.org/10.1093/imanum/dry086\">10.1093/imanum/dry086</a>}, number={2}, journal={IMA Journal of Numerical Analysis}, publisher={Oxford University Press (OUP)}, author={Karátson, János and Kovács, Balázs and Korotov, Sergey}, year={2018}, pages={1241–1265} }","apa":"Karátson, J., Kovács, B., &#38; Korotov, S. (2018). Discrete maximum principles for nonlinear elliptic finite element problems on surfaces with boundary. <i>IMA Journal of Numerical Analysis</i>, <i>40</i>(2), 1241–1265. <a href=\"https://doi.org/10.1093/imanum/dry086\">https://doi.org/10.1093/imanum/dry086</a>","ieee":"J. Karátson, B. Kovács, and S. Korotov, “Discrete maximum principles for nonlinear elliptic finite element problems on surfaces with boundary,” <i>IMA Journal of Numerical Analysis</i>, vol. 40, no. 2, pp. 1241–1265, 2018, doi: <a href=\"https://doi.org/10.1093/imanum/dry086\">10.1093/imanum/dry086</a>.","short":"J. Karátson, B. Kovács, S. Korotov, IMA Journal of Numerical Analysis 40 (2018) 1241–1265.","chicago":"Karátson, János, Balázs Kovács, and Sergey Korotov. “Discrete Maximum Principles for Nonlinear Elliptic Finite Element Problems on Surfaces with Boundary.” <i>IMA Journal of Numerical Analysis</i> 40, no. 2 (2018): 1241–65. <a href=\"https://doi.org/10.1093/imanum/dry086\">https://doi.org/10.1093/imanum/dry086</a>."},"page":"1241-1265","publisher":"Oxford University Press (OUP)","_id":"45950","user_id":"100441","volume":40,"status":"public","date_created":"2023-07-10T11:41:27Z","type":"journal_article","keyword":["Applied Mathematics","Computational Mathematics","General Mathematics"],"department":[{"_id":"841"}],"issue":"2","publication":"IMA Journal of Numerical Analysis","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title><jats:p>The maximum principle forms an important qualitative property of second-order elliptic equations; therefore, its discrete analogues, the so-called discrete maximum principles (DMPs), have drawn much attention owing to their role in reinforcing the qualitative reliability of the given numerical scheme. In this paper DMPs are established for nonlinear finite element problems on surfaces with boundary, corresponding to the classical pointwise maximum principles on Riemannian manifolds in the spirit of Pucci &amp; Serrin (2007, The Maximum Principle. Springer). Various real-life examples illustrate the scope of the results.</jats:p>"}],"language":[{"iso":"eng"}],"doi":"10.1093/imanum/dry086","title":"Discrete maximum principles for nonlinear elliptic finite element problems on surfaces with boundary","year":"2018","publication_identifier":{"issn":["0272-4979","1464-3642"]},"author":[{"last_name":"Karátson","first_name":"János","full_name":"Karátson, János"},{"id":"100441","first_name":"Balázs","orcid":"0000-0001-9872-3474","last_name":"Kovács","full_name":"Kovács, Balázs"},{"full_name":"Korotov, Sergey","first_name":"Sergey","last_name":"Korotov"}],"date_updated":"2024-04-03T09:21:21Z","publication_status":"published","intvolume":"        40"},{"date_created":"2023-07-10T11:41:19Z","type":"journal_article","keyword":["Applied Mathematics","Computational Mathematics","General Mathematics"],"department":[{"_id":"841"}],"publication":"IMA Journal of Numerical Analysis","issue":"2","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title><jats:p>The maximum principle forms an important qualitative property of second-order elliptic equations; therefore, its discrete analogues, the so-called discrete maximum principles (DMPs), have drawn much attention owing to their role in reinforcing the qualitative reliability of the given numerical scheme. In this paper DMPs are established for nonlinear finite element problems on surfaces with boundary, corresponding to the classical pointwise maximum principles on Riemannian manifolds in the spirit of Pucci &amp; Serrin (2007, The Maximum Principle. Springer). Various real-life examples illustrate the scope of the results.</jats:p>"}],"language":[{"iso":"eng"}],"doi":"10.1093/imanum/dry086","year":"2018","title":"Discrete maximum principles for nonlinear elliptic finite element problems on surfaces with boundary","publication_identifier":{"issn":["0272-4979","1464-3642"]},"author":[{"full_name":"Karátson, János","last_name":"Karátson","first_name":"János"},{"full_name":"Kovács, Balázs","first_name":"Balázs","last_name":"Kovács"},{"last_name":"Korotov","first_name":"Sergey","full_name":"Korotov, Sergey"}],"date_updated":"2024-04-03T09:21:29Z","publication_status":"published","intvolume":"        40","citation":{"mla":"Karátson, János, et al. “Discrete Maximum Principles for Nonlinear Elliptic Finite Element Problems on Surfaces with Boundary.” <i>IMA Journal of Numerical Analysis</i>, vol. 40, no. 2, Oxford University Press (OUP), 2018, pp. 1241–65, doi:<a href=\"https://doi.org/10.1093/imanum/dry086\">10.1093/imanum/dry086</a>.","bibtex":"@article{Karátson_Kovács_Korotov_2018, title={Discrete maximum principles for nonlinear elliptic finite element problems on surfaces with boundary}, volume={40}, DOI={<a href=\"https://doi.org/10.1093/imanum/dry086\">10.1093/imanum/dry086</a>}, number={2}, journal={IMA Journal of Numerical Analysis}, publisher={Oxford University Press (OUP)}, author={Karátson, János and Kovács, Balázs and Korotov, Sergey}, year={2018}, pages={1241–1265} }","ama":"Karátson J, Kovács B, Korotov S. Discrete maximum principles for nonlinear elliptic finite element problems on surfaces with boundary. <i>IMA Journal of Numerical Analysis</i>. 2018;40(2):1241-1265. doi:<a href=\"https://doi.org/10.1093/imanum/dry086\">10.1093/imanum/dry086</a>","ieee":"J. Karátson, B. Kovács, and S. Korotov, “Discrete maximum principles for nonlinear elliptic finite element problems on surfaces with boundary,” <i>IMA Journal of Numerical Analysis</i>, vol. 40, no. 2, pp. 1241–1265, 2018, doi: <a href=\"https://doi.org/10.1093/imanum/dry086\">10.1093/imanum/dry086</a>.","apa":"Karátson, J., Kovács, B., &#38; Korotov, S. (2018). Discrete maximum principles for nonlinear elliptic finite element problems on surfaces with boundary. <i>IMA Journal of Numerical Analysis</i>, <i>40</i>(2), 1241–1265. <a href=\"https://doi.org/10.1093/imanum/dry086\">https://doi.org/10.1093/imanum/dry086</a>","chicago":"Karátson, János, Balázs Kovács, and Sergey Korotov. “Discrete Maximum Principles for Nonlinear Elliptic Finite Element Problems on Surfaces with Boundary.” <i>IMA Journal of Numerical Analysis</i> 40, no. 2 (2018): 1241–65. <a href=\"https://doi.org/10.1093/imanum/dry086\">https://doi.org/10.1093/imanum/dry086</a>.","short":"J. Karátson, B. Kovács, S. Korotov, IMA Journal of Numerical Analysis 40 (2018) 1241–1265."},"page":"1241-1265","publisher":"Oxford University Press (OUP)","_id":"45949","user_id":"100441","volume":40,"status":"public"}]