[{"type":"conference_editor","editor":[{"full_name":"Governatori, Guido","last_name":"Governatori","first_name":"Guido"},{"first_name":"Anni-Yasmin","last_name":"Turhan","id":"104470","full_name":"Turhan, Anni-Yasmin"}],"status":"public","_id":"52925","user_id":"9503","series_title":"Lecture Notes in Computer Science","department":[{"_id":"888"}],"language":[{"iso":"eng"}],"publication_identifier":{"isbn":["978-3-031-21540-7"]},"year":"2022","citation":{"short":"G. Governatori, A.-Y. Turhan, eds., Rules and Reasoning - 6th International Joint Conference on Rules and Reasoning, RuleML+RR 2022, Berlin, Germany, September 26-28, 2022, Proceedings, Springer, 2022.","bibtex":"@book{Governatori_Turhan_2022, series={Lecture Notes in Computer Science}, title={Rules and Reasoning - 6th International Joint Conference on Rules and Reasoning, RuleML+RR 2022, Berlin, Germany, September 26-28, 2022, Proceedings}, volume={13752}, DOI={<a href=\"https://doi.org/10.1007/978-3-031-21541-4\">10.1007/978-3-031-21541-4</a>}, publisher={Springer}, year={2022}, collection={Lecture Notes in Computer Science} }","mla":"Governatori, Guido, and Anni-Yasmin Turhan, editors. <i>Rules and Reasoning - 6th International Joint Conference on Rules and Reasoning, RuleML+RR 2022, Berlin, Germany, September 26-28, 2022, Proceedings</i>. Springer, 2022, doi:<a href=\"https://doi.org/10.1007/978-3-031-21541-4\">10.1007/978-3-031-21541-4</a>.","apa":"Governatori, G., &#38; Turhan, A.-Y. (Eds.). (2022). <i>Rules and Reasoning - 6th International Joint Conference on Rules and Reasoning, RuleML+RR 2022, Berlin, Germany, September 26-28, 2022, Proceedings</i> (Vol. 13752). Springer. <a href=\"https://doi.org/10.1007/978-3-031-21541-4\">https://doi.org/10.1007/978-3-031-21541-4</a>","ieee":"G. Governatori and A.-Y. Turhan, Eds., <i>Rules and Reasoning - 6th International Joint Conference on Rules and Reasoning, RuleML+RR 2022, Berlin, Germany, September 26-28, 2022, Proceedings</i>, vol. 13752. Springer, 2022.","chicago":"Governatori, Guido, and Anni-Yasmin Turhan, eds. <i>Rules and Reasoning - 6th International Joint Conference on Rules and Reasoning, RuleML+RR 2022, Berlin, Germany, September 26-28, 2022, Proceedings</i>. Vol. 13752. Lecture Notes in Computer Science. Springer, 2022. <a href=\"https://doi.org/10.1007/978-3-031-21541-4\">https://doi.org/10.1007/978-3-031-21541-4</a>.","ama":"Governatori G, Turhan A-Y, eds. <i>Rules and Reasoning - 6th International Joint Conference on Rules and Reasoning, RuleML+RR 2022, Berlin, Germany, September 26-28, 2022, Proceedings</i>. Vol 13752. Springer; 2022. doi:<a href=\"https://doi.org/10.1007/978-3-031-21541-4\">10.1007/978-3-031-21541-4</a>"},"intvolume":"     13752","publisher":"Springer","date_updated":"2024-03-26T10:56:14Z","date_created":"2024-03-26T10:54:33Z","volume":13752,"title":"Rules and Reasoning - 6th International Joint Conference on Rules and Reasoning, RuleML+RR 2022, Berlin, Germany, September 26-28, 2022, Proceedings","doi":"10.1007/978-3-031-21541-4"},{"date_created":"2024-03-25T12:18:03Z","author":[{"last_name":"Fleischer","full_name":"Fleischer, Yannik","first_name":"Yannik"},{"first_name":"Sven","full_name":"Hüsing, Sven","last_name":"Hüsing"},{"full_name":"Biehler, Rolf","last_name":"Biehler","first_name":"Rolf"},{"last_name":"Podworny","full_name":"Podworny, Susanne","first_name":"Susanne"},{"last_name":"Schulte","full_name":"Schulte, Carsten","first_name":"Carsten"}],"publisher":"International Association for Statistical Education","date_updated":"2024-03-28T08:39:27Z","doi":"10.52041/iase.icots11.t10e3","title":"Jupyter Notebooks for Teaching, Learning, and Doing Data Science","publication_status":"published","citation":{"ama":"Fleischer Y, Hüsing S, Biehler R, Podworny S, Schulte C. Jupyter Notebooks for Teaching, Learning, and Doing Data Science. In: <i>Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics</i>. International Association for Statistical Education; 2022. doi:<a href=\"https://doi.org/10.52041/iase.icots11.t10e3\">10.52041/iase.icots11.t10e3</a>","ieee":"Y. Fleischer, S. Hüsing, R. Biehler, S. Podworny, and C. Schulte, “Jupyter Notebooks for Teaching, Learning, and Doing Data Science,” 2022, doi: <a href=\"https://doi.org/10.52041/iase.icots11.t10e3\">10.52041/iase.icots11.t10e3</a>.","chicago":"Fleischer, Yannik, Sven Hüsing, Rolf Biehler, Susanne Podworny, and Carsten Schulte. “Jupyter Notebooks for Teaching, Learning, and Doing Data Science.” In <i>Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics</i>. International Association for Statistical Education, 2022. <a href=\"https://doi.org/10.52041/iase.icots11.t10e3\">https://doi.org/10.52041/iase.icots11.t10e3</a>.","mla":"Fleischer, Yannik, et al. “Jupyter Notebooks for Teaching, Learning, and Doing Data Science.” <i>Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics</i>, International Association for Statistical Education, 2022, doi:<a href=\"https://doi.org/10.52041/iase.icots11.t10e3\">10.52041/iase.icots11.t10e3</a>.","short":"Y. Fleischer, S. Hüsing, R. Biehler, S. Podworny, C. Schulte, in: Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics, International Association for Statistical Education, 2022.","bibtex":"@inproceedings{Fleischer_Hüsing_Biehler_Podworny_Schulte_2022, title={Jupyter Notebooks for Teaching, Learning, and Doing Data Science}, DOI={<a href=\"https://doi.org/10.52041/iase.icots11.t10e3\">10.52041/iase.icots11.t10e3</a>}, booktitle={Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics}, publisher={International Association for Statistical Education}, author={Fleischer, Yannik and Hüsing, Sven and Biehler, Rolf and Podworny, Susanne and Schulte, Carsten}, year={2022} }","apa":"Fleischer, Y., Hüsing, S., Biehler, R., Podworny, S., &#38; Schulte, C. (2022). Jupyter Notebooks for Teaching, Learning, and Doing Data Science. <i>Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics</i>. <a href=\"https://doi.org/10.52041/iase.icots11.t10e3\">https://doi.org/10.52041/iase.icots11.t10e3</a>"},"year":"2022","user_id":"42660","department":[{"_id":"34"}],"_id":"52851","language":[{"iso":"eng"}],"type":"conference","publication":"Bridging the Gap: Empowering and Educating Today’s Learners in Statistics. Proceedings of the Eleventh International Conference on Teaching Statistics","status":"public","abstract":[{"text":"<jats:p>We report on our work with students in our data science courses, focusing on the analysis of students’ results. This study represents an in-depth analysis of students’ creation and documentation of machine learning models. The students were supported by educationally designed Jupyter Notebooks, which are used as worked examples. Using the worked example, students document their results in a so-called computational essay. We examine which aspects of creating computational essays are difficult for students to find out how worked examples should be designed to support students without being too prescriptive. We analyze the computational essays produced by students and draw consequences for redesigning our worked example.</jats:p>","lang":"eng"}]},{"language":[{"iso":"eng"}],"_id":"32572","user_id":"83504","department":[{"_id":"632"}],"status":"public","type":"conference","publication":"Eighteenth Symposium on Usable Privacy and Security (SOUPS 2022)","title":"\"I don' know why I check this...\" - Investigating Expert Users' Strategies to Detect Email Signature Spoofing Attacks","date_updated":"2024-04-02T12:19:28Z","publisher":"USENIX Association","author":[{"first_name":"Peter","full_name":"Mayer, Peter","last_name":"Mayer"},{"full_name":"Poddebniak, Damian","last_name":"Poddebniak","first_name":"Damian"},{"first_name":"Konstantin","full_name":"Fischer, Konstantin","last_name":"Fischer"},{"first_name":"Marcus","last_name":"Brinkmann","full_name":"Brinkmann, Marcus"},{"full_name":"Somorovsky, Juraj","id":"83504","orcid":"0000-0002-3593-7720","last_name":"Somorovsky","first_name":"Juraj"},{"last_name":"Sasse","full_name":"Sasse, Angela","first_name":"Angela"},{"first_name":"Sebastian","last_name":"Schinzel","full_name":"Schinzel, Sebastian"},{"first_name":"Melanie","full_name":"Volkamer, Melanie","last_name":"Volkamer"}],"date_created":"2022-08-03T11:02:10Z","place":"Boston, MA","year":"2022","citation":{"apa":"Mayer, P., Poddebniak, D., Fischer, K., Brinkmann, M., Somorovsky, J., Sasse, A., Schinzel, S., &#38; Volkamer, M. (2022). “I don’ know why I check this...” - Investigating Expert Users’ Strategies to Detect Email Signature Spoofing Attacks. <i>Eighteenth Symposium on Usable Privacy and Security (SOUPS 2022)</i>, 77–96.","mla":"Mayer, Peter, et al. “‘I Don’ Know Why I Check This...’ - Investigating Expert Users’ Strategies to Detect Email Signature Spoofing Attacks.” <i>Eighteenth Symposium on Usable Privacy and Security (SOUPS 2022)</i>, USENIX Association, 2022, pp. 77–96.","short":"P. Mayer, D. Poddebniak, K. Fischer, M. Brinkmann, J. Somorovsky, A. Sasse, S. Schinzel, M. Volkamer, in: Eighteenth Symposium on Usable Privacy and Security (SOUPS 2022), USENIX Association, Boston, MA, 2022, pp. 77–96.","bibtex":"@inproceedings{Mayer_Poddebniak_Fischer_Brinkmann_Somorovsky_Sasse_Schinzel_Volkamer_2022, place={Boston, MA}, title={“I don’ know why I check this...” - Investigating Expert Users’ Strategies to Detect Email Signature Spoofing Attacks}, booktitle={Eighteenth Symposium on Usable Privacy and Security (SOUPS 2022)}, publisher={USENIX Association}, author={Mayer, Peter and Poddebniak, Damian and Fischer, Konstantin and Brinkmann, Marcus and Somorovsky, Juraj and Sasse, Angela and Schinzel, Sebastian and Volkamer, Melanie}, year={2022}, pages={77–96} }","ieee":"P. Mayer <i>et al.</i>, “‘I don’ know why I check this...’ - Investigating Expert Users’ Strategies to Detect Email Signature Spoofing Attacks,” in <i>Eighteenth Symposium on Usable Privacy and Security (SOUPS 2022)</i>, 2022, pp. 77–96.","chicago":"Mayer, Peter, Damian Poddebniak, Konstantin Fischer, Marcus Brinkmann, Juraj Somorovsky, Angela Sasse, Sebastian Schinzel, and Melanie Volkamer. “‘I Don’ Know Why I Check This...’ - Investigating Expert Users’ Strategies to Detect Email Signature Spoofing Attacks.” In <i>Eighteenth Symposium on Usable Privacy and Security (SOUPS 2022)</i>, 77–96. Boston, MA: USENIX Association, 2022.","ama":"Mayer P, Poddebniak D, Fischer K, et al. “I don’ know why I check this...” - Investigating Expert Users’ Strategies to Detect Email Signature Spoofing Attacks. In: <i>Eighteenth Symposium on Usable Privacy and Security (SOUPS 2022)</i>. USENIX Association; 2022:77–96."},"page":"77–96","publication_identifier":{"isbn":["978-1-939133-30-4"]}},{"publication":"31st USENIX Security Symposium (USENIX Security 22)","type":"conference","status":"public","department":[{"_id":"632"}],"user_id":"83504","_id":"32573","language":[{"iso":"eng"}],"citation":{"mla":"Maehren, Marcel, et al. “TLS-Anvil: Adapting Combinatorial Testing for TLS Libraries.” <i>31st USENIX Security Symposium (USENIX Security 22)</i>, USENIX Association, 2022.","bibtex":"@inproceedings{Maehren_Nieting_Hebrok_Merget_Somorovsky_Schwenk_2022, place={Boston, MA}, title={TLS-Anvil: Adapting Combinatorial Testing for TLS Libraries}, booktitle={31st USENIX Security Symposium (USENIX Security 22)}, publisher={USENIX Association}, author={Maehren, Marcel and Nieting, Philipp and Hebrok, Sven Niclas and Merget, Robert and Somorovsky, Juraj and Schwenk, Jörg}, year={2022} }","short":"M. Maehren, P. Nieting, S.N. Hebrok, R. Merget, J. Somorovsky, J. Schwenk, in: 31st USENIX Security Symposium (USENIX Security 22), USENIX Association, Boston, MA, 2022.","apa":"Maehren, M., Nieting, P., Hebrok, S. N., Merget, R., Somorovsky, J., &#38; Schwenk, J. (2022). TLS-Anvil: Adapting Combinatorial Testing for TLS Libraries. <i>31st USENIX Security Symposium (USENIX Security 22)</i>.","chicago":"Maehren, Marcel, Philipp Nieting, Sven Niclas Hebrok, Robert Merget, Juraj Somorovsky, and Jörg Schwenk. “TLS-Anvil: Adapting Combinatorial Testing for TLS Libraries.” In <i>31st USENIX Security Symposium (USENIX Security 22)</i>. Boston, MA: USENIX Association, 2022.","ieee":"M. Maehren, P. Nieting, S. N. Hebrok, R. Merget, J. Somorovsky, and J. Schwenk, “TLS-Anvil: Adapting Combinatorial Testing for TLS Libraries,” 2022.","ama":"Maehren M, Nieting P, Hebrok SN, Merget R, Somorovsky J, Schwenk J. TLS-Anvil: Adapting Combinatorial Testing for TLS Libraries. In: <i>31st USENIX Security Symposium (USENIX Security 22)</i>. USENIX Association; 2022."},"place":"Boston, MA","year":"2022","date_created":"2022-08-03T11:03:30Z","author":[{"last_name":"Maehren","full_name":"Maehren, Marcel","first_name":"Marcel"},{"first_name":"Philipp","full_name":"Nieting, Philipp","last_name":"Nieting"},{"last_name":"Hebrok","orcid":"0009-0006-1172-1665","id":"55616","full_name":"Hebrok, Sven Niclas","first_name":"Sven Niclas"},{"first_name":"Robert","last_name":"Merget","full_name":"Merget, Robert"},{"first_name":"Juraj","id":"83504","full_name":"Somorovsky, Juraj","orcid":"0000-0002-3593-7720","last_name":"Somorovsky"},{"full_name":"Schwenk, Jörg","last_name":"Schwenk","first_name":"Jörg"}],"publisher":"USENIX Association","date_updated":"2024-04-02T12:19:45Z","title":"TLS-Anvil: Adapting Combinatorial Testing for TLS Libraries"},{"_id":"45970","department":[{"_id":"841"}],"user_id":"100441","status":"public","type":"journal_article","doi":"10.1142/s0218202522500634","date_updated":"2024-04-03T09:15:35Z","volume":32,"author":[{"first_name":"Harald","full_name":"Garcke, Harald","last_name":"Garcke"},{"first_name":"Balázs","orcid":"0000-0001-9872-3474","last_name":"Kovács","full_name":"Kovács, Balázs","id":"100441"},{"last_name":"Trautwein","full_name":"Trautwein, Dennis","first_name":"Dennis"}],"page":"2673-2758","intvolume":"        32","citation":{"mla":"Garcke, Harald, et al. “Viscoelastic Cahn–Hilliard Models for Tumor Growth.” <i>Mathematical Models and Methods in Applied Sciences</i>, vol. 32, no. 13, World Scientific Pub Co Pte Ltd, 2022, pp. 2673–758, doi:<a href=\"https://doi.org/10.1142/s0218202522500634\">10.1142/s0218202522500634</a>.","short":"H. Garcke, B. Kovács, D. Trautwein, Mathematical Models and Methods in Applied Sciences 32 (2022) 2673–2758.","bibtex":"@article{Garcke_Kovács_Trautwein_2022, title={Viscoelastic Cahn–Hilliard models for tumor growth}, volume={32}, DOI={<a href=\"https://doi.org/10.1142/s0218202522500634\">10.1142/s0218202522500634</a>}, number={13}, journal={Mathematical Models and Methods in Applied Sciences}, publisher={World Scientific Pub Co Pte Ltd}, author={Garcke, Harald and Kovács, Balázs and Trautwein, Dennis}, year={2022}, pages={2673–2758} }","apa":"Garcke, H., Kovács, B., &#38; Trautwein, D. (2022). Viscoelastic Cahn–Hilliard models for tumor growth. <i>Mathematical Models and Methods in Applied Sciences</i>, <i>32</i>(13), 2673–2758. <a href=\"https://doi.org/10.1142/s0218202522500634\">https://doi.org/10.1142/s0218202522500634</a>","ama":"Garcke H, Kovács B, Trautwein D. Viscoelastic Cahn–Hilliard models for tumor growth. <i>Mathematical Models and Methods in Applied Sciences</i>. 2022;32(13):2673-2758. doi:<a href=\"https://doi.org/10.1142/s0218202522500634\">10.1142/s0218202522500634</a>","ieee":"H. Garcke, B. Kovács, and D. Trautwein, “Viscoelastic Cahn–Hilliard models for tumor growth,” <i>Mathematical Models and Methods in Applied Sciences</i>, vol. 32, no. 13, pp. 2673–2758, 2022, doi: <a href=\"https://doi.org/10.1142/s0218202522500634\">10.1142/s0218202522500634</a>.","chicago":"Garcke, Harald, Balázs Kovács, and Dennis Trautwein. “Viscoelastic Cahn–Hilliard Models for Tumor Growth.” <i>Mathematical Models and Methods in Applied Sciences</i> 32, no. 13 (2022): 2673–2758. <a href=\"https://doi.org/10.1142/s0218202522500634\">https://doi.org/10.1142/s0218202522500634</a>."},"publication_identifier":{"issn":["0218-2025","1793-6314"]},"publication_status":"published","keyword":["Applied Mathematics","Modeling and Simulation"],"language":[{"iso":"eng"}],"abstract":[{"text":"<jats:p> We introduce a new phase field model for tumor growth where viscoelastic effects are taken into account. The model is derived from basic thermodynamical principles and consists of a convected Cahn–Hilliard equation with source terms for the tumor cells and a convected reaction–diffusion equation with boundary supply for the nutrient. Chemotactic terms, which are essential for the invasive behavior of tumors, are taken into account. The model is completed by a viscoelastic system consisting of the Navier–Stokes equation for the hydrodynamic quantities, and a general constitutive equation with stress relaxation for the left Cauchy–Green tensor associated with the elastic part of the total mechanical response of the viscoelastic material. For a specific choice of the elastic energy density and with an additional dissipative term accounting for stress diffusion, we prove existence of global-in-time weak solutions of the viscoelastic model for tumor growth in two space dimensions [Formula: see text] by the passage to the limit in a fully-discrete finite element scheme where a CFL condition, i.e. [Formula: see text], is required. </jats:p><jats:p> Moreover, in arbitrary dimensions [Formula: see text], we show stability and existence of solutions for the fully-discrete finite element scheme, where positive definiteness of the discrete Cauchy–Green tensor is proved with a regularization technique that was first introduced by Barrett and Boyaval [Existence and approximation of a (regularized) Oldroyd-B model, Math. Models Methods Appl. Sci. 21 (2011) 1783–1837]. After that, we improve the regularity results in arbitrary dimensions [Formula: see text] and in two dimensions [Formula: see text], where a CFL condition is required. Then, in two dimensions [Formula: see text], we pass to the limit in the discretization parameters and show that subsequences of discrete solutions converge to a global-in-time weak solution. Finally, we present numerical results in two dimensions [Formula: see text]. </jats:p>","lang":"eng"}],"publication":"Mathematical Models and Methods in Applied Sciences","title":"Viscoelastic Cahn–Hilliard models for tumor growth","publisher":"World Scientific Pub Co Pte Ltd","date_created":"2023-07-10T11:47:27Z","year":"2022","issue":"13"},{"user_id":"100441","department":[{"_id":"841"}],"_id":"45969","type":"journal_article","status":"public","author":[{"full_name":"Elliott, Charles M.","last_name":"Elliott","first_name":"Charles M."},{"first_name":"Harald","last_name":"Garcke","full_name":"Garcke, Harald"},{"orcid":"0000-0001-9872-3474","last_name":"Kovács","full_name":"Kovács, Balázs","id":"100441","first_name":"Balázs"}],"volume":151,"date_updated":"2024-04-03T09:15:44Z","doi":"10.1007/s00211-022-01301-3","publication_status":"published","publication_identifier":{"issn":["0029-599X","0945-3245"]},"citation":{"ama":"Elliott CM, Garcke H, Kovács B. Numerical analysis for the interaction of mean curvature flow and diffusion on closed surfaces. <i>Numerische Mathematik</i>. 2022;151(4):873-925. doi:<a href=\"https://doi.org/10.1007/s00211-022-01301-3\">10.1007/s00211-022-01301-3</a>","chicago":"Elliott, Charles M., Harald Garcke, and Balázs Kovács. “Numerical Analysis for the Interaction of Mean Curvature Flow and Diffusion on Closed Surfaces.” <i>Numerische Mathematik</i> 151, no. 4 (2022): 873–925. <a href=\"https://doi.org/10.1007/s00211-022-01301-3\">https://doi.org/10.1007/s00211-022-01301-3</a>.","ieee":"C. M. Elliott, H. Garcke, and B. Kovács, “Numerical analysis for the interaction of mean curvature flow and diffusion on closed surfaces,” <i>Numerische Mathematik</i>, vol. 151, no. 4, pp. 873–925, 2022, doi: <a href=\"https://doi.org/10.1007/s00211-022-01301-3\">10.1007/s00211-022-01301-3</a>.","bibtex":"@article{Elliott_Garcke_Kovács_2022, title={Numerical analysis for the interaction of mean curvature flow and diffusion on closed surfaces}, volume={151}, DOI={<a href=\"https://doi.org/10.1007/s00211-022-01301-3\">10.1007/s00211-022-01301-3</a>}, number={4}, journal={Numerische Mathematik}, publisher={Springer Science and Business Media LLC}, author={Elliott, Charles M. and Garcke, Harald and Kovács, Balázs}, year={2022}, pages={873–925} }","mla":"Elliott, Charles M., et al. “Numerical Analysis for the Interaction of Mean Curvature Flow and Diffusion on Closed Surfaces.” <i>Numerische Mathematik</i>, vol. 151, no. 4, Springer Science and Business Media LLC, 2022, pp. 873–925, doi:<a href=\"https://doi.org/10.1007/s00211-022-01301-3\">10.1007/s00211-022-01301-3</a>.","short":"C.M. Elliott, H. Garcke, B. Kovács, Numerische Mathematik 151 (2022) 873–925.","apa":"Elliott, C. M., Garcke, H., &#38; Kovács, B. (2022). Numerical analysis for the interaction of mean curvature flow and diffusion on closed surfaces. <i>Numerische Mathematik</i>, <i>151</i>(4), 873–925. <a href=\"https://doi.org/10.1007/s00211-022-01301-3\">https://doi.org/10.1007/s00211-022-01301-3</a>"},"page":"873-925","intvolume":"       151","language":[{"iso":"eng"}],"keyword":["Applied Mathematics","Computational Mathematics"],"publication":"Numerische Mathematik","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title><jats:p>An evolving surface finite element discretisation is analysed for the evolution of a closed two-dimensional surface governed by a system coupling a generalised forced mean curvature flow and a reaction–diffusion process on the surface, inspired by a gradient flow of a coupled energy. Two algorithms are proposed, both based on a system coupling the diffusion equation to evolution equations for geometric quantities in the velocity law for the surface. One of the numerical methods is proved to be convergent in the<jats:inline-formula><jats:alternatives><jats:tex-math>$$H^1$$</jats:tex-math><mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\"><mml:msup><mml:mi>H</mml:mi><mml:mn>1</mml:mn></mml:msup></mml:math></jats:alternatives></jats:inline-formula>norm with optimal-order for finite elements of degree at least two. We present numerical experiments illustrating the convergence behaviour and demonstrating the qualitative properties of the flow: preservation of mean convexity, loss of convexity, weak maximum principles, and the occurrence of self-intersections.</jats:p>"}],"date_created":"2023-07-10T11:47:11Z","publisher":"Springer Science and Business Media LLC","title":"Numerical analysis for the interaction of mean curvature flow and diffusion on closed surfaces","issue":"4","year":"2022"},{"type":"journal_article","publication":"Numerische Mathematik","status":"public","abstract":[{"text":"<jats:title>Abstract</jats:title><jats:p>The scattering of electromagnetic waves from obstacles with wave-material interaction in thin layers on the surface is described by generalized impedance boundary conditions, which provide effective approximate models. In particular, this includes a thin coating around a perfect conductor and the skin effect of a highly conducting material. The approach taken in this work is to derive, analyse and discretize a system of time-dependent boundary integral equations that determines the tangential traces of the scattered electric and magnetic fields. In a familiar second step, the fields are evaluated in the exterior domain by a representation formula, which uses the time-dependent potential operators of Maxwell’s equations. The time-dependent boundary integral equation is discretized with Runge–Kutta based convolution quadrature in time and Raviart–Thomas boundary elements in space. Using the frequency-explicit bounds from the well-posedness analysis given here together with known approximation properties of the numerical methods, the full discretization is proved to be stable and convergent, with explicitly given rates in the case of sufficient regularity. Taking the same Runge–Kutta based convolution quadrature for discretizing the time-dependent representation formulas, the optimal order of convergence is obtained away from the scattering boundary, whereas an order reduction occurs close to the boundary. The theoretical results are illustrated by numerical experiments.</jats:p>","lang":"eng"}],"user_id":"100441","department":[{"_id":"841"}],"_id":"45963","language":[{"iso":"eng"}],"keyword":["Applied Mathematics","Computational Mathematics"],"issue":"4","publication_status":"published","publication_identifier":{"issn":["0029-599X","0945-3245"]},"citation":{"chicago":"Nick, Jörg, Balázs Kovács, and Christian Lubich. “Time-Dependent Electromagnetic Scattering from Thin Layers.” <i>Numerische Mathematik</i> 150, no. 4 (2022): 1123–64. <a href=\"https://doi.org/10.1007/s00211-022-01277-0\">https://doi.org/10.1007/s00211-022-01277-0</a>.","ieee":"J. Nick, B. Kovács, and C. Lubich, “Time-dependent electromagnetic scattering from thin layers,” <i>Numerische Mathematik</i>, vol. 150, no. 4, pp. 1123–1164, 2022, doi: <a href=\"https://doi.org/10.1007/s00211-022-01277-0\">10.1007/s00211-022-01277-0</a>.","ama":"Nick J, Kovács B, Lubich C. Time-dependent electromagnetic scattering from thin layers. <i>Numerische Mathematik</i>. 2022;150(4):1123-1164. doi:<a href=\"https://doi.org/10.1007/s00211-022-01277-0\">10.1007/s00211-022-01277-0</a>","apa":"Nick, J., Kovács, B., &#38; Lubich, C. (2022). Time-dependent electromagnetic scattering from thin layers. <i>Numerische Mathematik</i>, <i>150</i>(4), 1123–1164. <a href=\"https://doi.org/10.1007/s00211-022-01277-0\">https://doi.org/10.1007/s00211-022-01277-0</a>","mla":"Nick, Jörg, et al. “Time-Dependent Electromagnetic Scattering from Thin Layers.” <i>Numerische Mathematik</i>, vol. 150, no. 4, Springer Science and Business Media LLC, 2022, pp. 1123–64, doi:<a href=\"https://doi.org/10.1007/s00211-022-01277-0\">10.1007/s00211-022-01277-0</a>.","short":"J. Nick, B. Kovács, C. Lubich, Numerische Mathematik 150 (2022) 1123–1164.","bibtex":"@article{Nick_Kovács_Lubich_2022, title={Time-dependent electromagnetic scattering from thin layers}, volume={150}, DOI={<a href=\"https://doi.org/10.1007/s00211-022-01277-0\">10.1007/s00211-022-01277-0</a>}, number={4}, journal={Numerische Mathematik}, publisher={Springer Science and Business Media LLC}, author={Nick, Jörg and Kovács, Balázs and Lubich, Christian}, year={2022}, pages={1123–1164} }"},"page":"1123-1164","intvolume":"       150","year":"2022","date_created":"2023-07-10T11:44:57Z","author":[{"first_name":"Jörg","full_name":"Nick, Jörg","last_name":"Nick"},{"first_name":"Balázs","last_name":"Kovács","orcid":"0000-0001-9872-3474","id":"100441","full_name":"Kovács, Balázs"},{"first_name":"Christian","last_name":"Lubich","full_name":"Lubich, Christian"}],"volume":150,"publisher":"Springer Science and Business Media LLC","date_updated":"2024-04-03T09:18:23Z","doi":"10.1007/s00211-022-01277-0","title":"Time-dependent electromagnetic scattering from thin layers"},{"date_created":"2023-07-10T11:45:14Z","author":[{"first_name":"Balázs","orcid":"0000-0001-9872-3474","last_name":"Kovács","id":"100441","full_name":"Kovács, Balázs"},{"first_name":"Buyang","full_name":"Li, Buyang","last_name":"Li"}],"date_updated":"2024-04-03T09:17:59Z","publisher":"Oxford University Press (OUP)","doi":"10.1093/imanum/drac033","title":"Maximal regularity of backward difference time discretization for evolving surface PDEs and its application to nonlinear problems","publication_status":"published","publication_identifier":{"issn":["0272-4979","1464-3642"]},"citation":{"ama":"Kovács B, Li B. Maximal regularity of backward difference time discretization for evolving surface PDEs and its application to nonlinear problems. <i>IMA Journal of Numerical Analysis</i>. Published online 2022. doi:<a href=\"https://doi.org/10.1093/imanum/drac033\">10.1093/imanum/drac033</a>","chicago":"Kovács, Balázs, and Buyang Li. “Maximal Regularity of Backward Difference Time Discretization for Evolving Surface PDEs and Its Application to Nonlinear Problems.” <i>IMA Journal of Numerical Analysis</i>, 2022. <a href=\"https://doi.org/10.1093/imanum/drac033\">https://doi.org/10.1093/imanum/drac033</a>.","ieee":"B. Kovács and B. Li, “Maximal regularity of backward difference time discretization for evolving surface PDEs and its application to nonlinear problems,” <i>IMA Journal of Numerical Analysis</i>, 2022, doi: <a href=\"https://doi.org/10.1093/imanum/drac033\">10.1093/imanum/drac033</a>.","apa":"Kovács, B., &#38; Li, B. (2022). Maximal regularity of backward difference time discretization for evolving surface PDEs and its application to nonlinear problems. <i>IMA Journal of Numerical Analysis</i>. <a href=\"https://doi.org/10.1093/imanum/drac033\">https://doi.org/10.1093/imanum/drac033</a>","short":"B. Kovács, B. Li, IMA Journal of Numerical Analysis (2022).","bibtex":"@article{Kovács_Li_2022, title={Maximal regularity of backward difference time discretization for evolving surface PDEs and its application to nonlinear problems}, DOI={<a href=\"https://doi.org/10.1093/imanum/drac033\">10.1093/imanum/drac033</a>}, journal={IMA Journal of Numerical Analysis}, publisher={Oxford University Press (OUP)}, author={Kovács, Balázs and Li, Buyang}, year={2022} }","mla":"Kovács, Balázs, and Buyang Li. “Maximal Regularity of Backward Difference Time Discretization for Evolving Surface PDEs and Its Application to Nonlinear Problems.” <i>IMA Journal of Numerical Analysis</i>, Oxford University Press (OUP), 2022, doi:<a href=\"https://doi.org/10.1093/imanum/drac033\">10.1093/imanum/drac033</a>."},"year":"2022","user_id":"100441","department":[{"_id":"841"}],"_id":"45964","language":[{"iso":"eng"}],"keyword":["Applied Mathematics","Computational Mathematics","General Mathematics"],"type":"journal_article","publication":"IMA Journal of Numerical Analysis","status":"public","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title>\r\n               <jats:p>Maximal parabolic $L^p$-regularity of linear parabolic equations on an evolving surface is shown by pulling back the problem to the initial surface and studying the maximal $L^p$-regularity on a fixed surface. By freezing the coefficients in the parabolic equations at a fixed time and utilizing a perturbation argument around the freezed time, it is shown that backward difference time discretizations of linear parabolic equations on an evolving surface along characteristic trajectories can preserve maximal $L^p$-regularity in the discrete setting. The result is applied to prove the stability and convergence of time discretizations of nonlinear parabolic equations on an evolving surface, with linearly implicit backward differentiation formulae characteristic trajectories of the surface, for general locally Lipschitz nonlinearities. The discrete maximal $L^p$-regularity is used to prove the boundedness and stability of numerical solutions in the $L^\\infty (0,T;W^{1,\\infty })$ norm, which is used to bound the nonlinear terms in the stability analysis. Optimal-order error estimates of time discretizations in the $L^\\infty (0,T;W^{1,\\infty })$ norm is obtained by combining the stability analysis with the consistency estimates.</jats:p>"}]},{"publication_identifier":{"issn":["0272-4979","1464-3642"]},"publication_status":"published","issue":"2","year":"2022","page":"950-975","intvolume":"        43","citation":{"apa":"Altmann, R., Kovács, B., &#38; Zimmer, C. (2022). Bulk–surface Lie splitting for parabolic problems with dynamic boundary conditions. <i>IMA Journal of Numerical Analysis</i>, <i>43</i>(2), 950–975. <a href=\"https://doi.org/10.1093/imanum/drac002\">https://doi.org/10.1093/imanum/drac002</a>","mla":"Altmann, Robert, et al. “Bulk–Surface Lie Splitting for Parabolic Problems with Dynamic Boundary Conditions.” <i>IMA Journal of Numerical Analysis</i>, vol. 43, no. 2, Oxford University Press (OUP), 2022, pp. 950–75, doi:<a href=\"https://doi.org/10.1093/imanum/drac002\">10.1093/imanum/drac002</a>.","short":"R. Altmann, B. Kovács, C. Zimmer, IMA Journal of Numerical Analysis 43 (2022) 950–975.","bibtex":"@article{Altmann_Kovács_Zimmer_2022, title={Bulk–surface Lie splitting for parabolic problems with dynamic boundary conditions}, volume={43}, DOI={<a href=\"https://doi.org/10.1093/imanum/drac002\">10.1093/imanum/drac002</a>}, number={2}, journal={IMA Journal of Numerical Analysis}, publisher={Oxford University Press (OUP)}, author={Altmann, Robert and Kovács, Balázs and Zimmer, Christoph}, year={2022}, pages={950–975} }","chicago":"Altmann, Robert, Balázs Kovács, and Christoph Zimmer. “Bulk–Surface Lie Splitting for Parabolic Problems with Dynamic Boundary Conditions.” <i>IMA Journal of Numerical Analysis</i> 43, no. 2 (2022): 950–75. <a href=\"https://doi.org/10.1093/imanum/drac002\">https://doi.org/10.1093/imanum/drac002</a>.","ieee":"R. Altmann, B. Kovács, and C. Zimmer, “Bulk–surface Lie splitting for parabolic problems with dynamic boundary conditions,” <i>IMA Journal of Numerical Analysis</i>, vol. 43, no. 2, pp. 950–975, 2022, doi: <a href=\"https://doi.org/10.1093/imanum/drac002\">10.1093/imanum/drac002</a>.","ama":"Altmann R, Kovács B, Zimmer C. Bulk–surface Lie splitting for parabolic problems with dynamic boundary conditions. <i>IMA Journal of Numerical Analysis</i>. 2022;43(2):950-975. doi:<a href=\"https://doi.org/10.1093/imanum/drac002\">10.1093/imanum/drac002</a>"},"date_updated":"2024-04-03T09:16:47Z","publisher":"Oxford University Press (OUP)","volume":43,"date_created":"2023-07-10T11:45:49Z","author":[{"first_name":"Robert","last_name":"Altmann","full_name":"Altmann, Robert"},{"first_name":"Balázs","full_name":"Kovács, Balázs","id":"100441","orcid":"0000-0001-9872-3474","last_name":"Kovács"},{"first_name":"Christoph","last_name":"Zimmer","full_name":"Zimmer, Christoph"}],"title":"Bulk–surface Lie splitting for parabolic problems with dynamic boundary conditions","doi":"10.1093/imanum/drac002","publication":"IMA Journal of Numerical Analysis","type":"journal_article","abstract":[{"text":"<jats:title>Abstract</jats:title>\r\n               <jats:p>This paper studies bulk–surface splitting methods of first order for (semilinear) parabolic partial differential equations with dynamic boundary conditions. The proposed Lie splitting scheme is based on a reformulation of the problem as a coupled partial differential–algebraic equation system, i.e., the boundary conditions are considered as a second dynamic equation that is coupled to the bulk problem. The splitting approach is combined with bulk–surface finite elements and an implicit Euler discretization of the two subsystems. We prove first-order convergence of the resulting fully discrete scheme in the presence of a weak CFL condition of the form $\\tau \\leqslant c h$ for some constant $c&amp;gt;0$. The convergence is also illustrated numerically using dynamic boundary conditions of Allen–Cahn type.</jats:p>","lang":"eng"}],"status":"public","_id":"45966","department":[{"_id":"841"}],"user_id":"100441","keyword":["Applied Mathematics","Computational Mathematics","General Mathematics"],"language":[{"iso":"eng"}]},{"author":[{"last_name":"Csomós","full_name":"Csomós, Petra","first_name":"Petra"},{"first_name":"Bálint","full_name":"Farkas, Bálint","last_name":"Farkas"},{"id":"100441","full_name":"Kovács, Balázs","orcid":"0000-0001-9872-3474","last_name":"Kovács","first_name":"Balázs"}],"date_created":"2023-07-10T11:46:54Z","date_updated":"2024-04-03T09:15:52Z","publisher":"Oxford University Press (OUP)","doi":"10.1093/imanum/drac079","title":"Error estimates for a splitting integrator for abstract semilinear boundary coupled systems","publication_status":"published","publication_identifier":{"issn":["0272-4979","1464-3642"]},"citation":{"chicago":"Csomós, Petra, Bálint Farkas, and Balázs Kovács. “Error Estimates for a Splitting Integrator for Abstract Semilinear Boundary Coupled Systems.” <i>IMA Journal of Numerical Analysis</i>, 2022. <a href=\"https://doi.org/10.1093/imanum/drac079\">https://doi.org/10.1093/imanum/drac079</a>.","ieee":"P. Csomós, B. Farkas, and B. Kovács, “Error estimates for a splitting integrator for abstract semilinear boundary coupled systems,” <i>IMA Journal of Numerical Analysis</i>, 2022, doi: <a href=\"https://doi.org/10.1093/imanum/drac079\">10.1093/imanum/drac079</a>.","ama":"Csomós P, Farkas B, Kovács B. Error estimates for a splitting integrator for abstract semilinear boundary coupled systems. <i>IMA Journal of Numerical Analysis</i>. Published online 2022. doi:<a href=\"https://doi.org/10.1093/imanum/drac079\">10.1093/imanum/drac079</a>","apa":"Csomós, P., Farkas, B., &#38; Kovács, B. (2022). Error estimates for a splitting integrator for abstract semilinear boundary coupled systems. <i>IMA Journal of Numerical Analysis</i>. <a href=\"https://doi.org/10.1093/imanum/drac079\">https://doi.org/10.1093/imanum/drac079</a>","bibtex":"@article{Csomós_Farkas_Kovács_2022, title={Error estimates for a splitting integrator for abstract semilinear boundary coupled systems}, DOI={<a href=\"https://doi.org/10.1093/imanum/drac079\">10.1093/imanum/drac079</a>}, journal={IMA Journal of Numerical Analysis}, publisher={Oxford University Press (OUP)}, author={Csomós, Petra and Farkas, Bálint and Kovács, Balázs}, year={2022} }","mla":"Csomós, Petra, et al. “Error Estimates for a Splitting Integrator for Abstract Semilinear Boundary Coupled Systems.” <i>IMA Journal of Numerical Analysis</i>, Oxford University Press (OUP), 2022, doi:<a href=\"https://doi.org/10.1093/imanum/drac079\">10.1093/imanum/drac079</a>.","short":"P. Csomós, B. Farkas, B. Kovács, IMA Journal of Numerical Analysis (2022)."},"year":"2022","user_id":"100441","department":[{"_id":"841"}],"_id":"45968","language":[{"iso":"eng"}],"keyword":["Applied Mathematics","Computational Mathematics","General Mathematics"],"type":"journal_article","publication":"IMA Journal of Numerical Analysis","status":"public","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title>\r\n               <jats:p>We derive a numerical method, based on operator splitting, to abstract parabolic semilinear boundary coupled systems. The method decouples the linear components that describe the coupling and the dynamics in the abstract bulk- and surface-spaces, and treats the nonlinear terms similarly to an exponential integrator. The convergence proof is based on estimates for a recursive formulation of the error, using the parabolic smoothing property of analytic semigroups, and a careful comparison of the exact and approximate flows. This analysis also requires a deep understanding of the effects of the Dirichlet operator (the abstract version of the harmonic extension operator), which is essential for the stable coupling in our method. Numerical experiments, including problems with dynamic boundary conditions, reporting on convergence rates are presented.</jats:p>"}]},{"citation":{"ieee":"C. A. Beschle and B. Kovács, “Stability and error estimates for non-linear Cahn–Hilliard-type equations on evolving surfaces,” <i>Numerische Mathematik</i>, vol. 151, no. 1, pp. 1–48, 2022, doi: <a href=\"https://doi.org/10.1007/s00211-022-01280-5\">10.1007/s00211-022-01280-5</a>.","chicago":"Beschle, Cedric Aaron, and Balázs Kovács. “Stability and Error Estimates for Non-Linear Cahn–Hilliard-Type Equations on Evolving Surfaces.” <i>Numerische Mathematik</i> 151, no. 1 (2022): 1–48. <a href=\"https://doi.org/10.1007/s00211-022-01280-5\">https://doi.org/10.1007/s00211-022-01280-5</a>.","ama":"Beschle CA, Kovács B. Stability and error estimates for non-linear Cahn–Hilliard-type equations on evolving surfaces. <i>Numerische Mathematik</i>. 2022;151(1):1-48. doi:<a href=\"https://doi.org/10.1007/s00211-022-01280-5\">10.1007/s00211-022-01280-5</a>","bibtex":"@article{Beschle_Kovács_2022, title={Stability and error estimates for non-linear Cahn–Hilliard-type equations on evolving surfaces}, volume={151}, DOI={<a href=\"https://doi.org/10.1007/s00211-022-01280-5\">10.1007/s00211-022-01280-5</a>}, number={1}, journal={Numerische Mathematik}, publisher={Springer Science and Business Media LLC}, author={Beschle, Cedric Aaron and Kovács, Balázs}, year={2022}, pages={1–48} }","short":"C.A. Beschle, B. Kovács, Numerische Mathematik 151 (2022) 1–48.","mla":"Beschle, Cedric Aaron, and Balázs Kovács. “Stability and Error Estimates for Non-Linear Cahn–Hilliard-Type Equations on Evolving Surfaces.” <i>Numerische Mathematik</i>, vol. 151, no. 1, Springer Science and Business Media LLC, 2022, pp. 1–48, doi:<a href=\"https://doi.org/10.1007/s00211-022-01280-5\">10.1007/s00211-022-01280-5</a>.","apa":"Beschle, C. A., &#38; Kovács, B. (2022). Stability and error estimates for non-linear Cahn–Hilliard-type equations on evolving surfaces. <i>Numerische Mathematik</i>, <i>151</i>(1), 1–48. <a href=\"https://doi.org/10.1007/s00211-022-01280-5\">https://doi.org/10.1007/s00211-022-01280-5</a>"},"intvolume":"       151","page":"1-48","year":"2022","issue":"1","publication_status":"published","publication_identifier":{"issn":["0029-599X","0945-3245"]},"doi":"10.1007/s00211-022-01280-5","title":"Stability and error estimates for non-linear Cahn–Hilliard-type equations on evolving surfaces","date_created":"2023-07-10T11:43:44Z","author":[{"full_name":"Beschle, Cedric Aaron","last_name":"Beschle","first_name":"Cedric Aaron"},{"first_name":"Balázs","full_name":"Kovács, Balázs","id":"100441","last_name":"Kovács","orcid":"0000-0001-9872-3474"}],"volume":151,"publisher":"Springer Science and Business Media LLC","date_updated":"2024-04-03T09:19:34Z","status":"public","abstract":[{"text":"<jats:title>Abstract</jats:title><jats:p>In this paper, we consider a non-linear fourth-order evolution equation of Cahn–Hilliard-type on evolving surfaces with prescribed velocity, where the non-linear terms are only assumed to have locally Lipschitz derivatives. High-order evolving surface finite elements are used to discretise the weak equation system in space, and a modified matrix–vector formulation for the semi-discrete problem is derived. The anti-symmetric structure of the equation system is preserved by the spatial discretisation. A new stability proof, based on this structure, combined with consistency bounds proves optimal-order and uniform-in-time error estimates. The paper is concluded by a variety of numerical experiments.</jats:p>","lang":"eng"}],"type":"journal_article","publication":"Numerische Mathematik","language":[{"iso":"eng"}],"keyword":["Applied Mathematics","Computational Mathematics"],"user_id":"100441","department":[{"_id":"841"}],"_id":"45958"},{"publisher":"Walter de Gruyter GmbH","date_created":"2023-07-10T11:43:13Z","title":"FEM-BEM Coupling for the Maxwell–Landau–Lifshitz–Gilbert Equations via Convolution Quadrature: Weak Form and Numerical Approximation","issue":"1","year":"2022","keyword":["Applied Mathematics","Computational Mathematics","Numerical Analysis"],"language":[{"iso":"eng"}],"publication":"Computational Methods in Applied Mathematics","abstract":[{"text":"<jats:title>Abstract</jats:title>\r\n               <jats:p>The full Maxwell equations in the unbounded three-dimensional space coupled to the Landau–Lifshitz–Gilbert equation serve as a well-tested model for ferromagnetic materials.\r\nWe propose a weak formulation of the coupled system based on the boundary integral formulation of the exterior Maxwell equations.\r\nWe show existence and partial uniqueness of a weak solution and propose a new numerical algorithm based on finite elements and boundary elements as spatial discretization with backward Euler and convolution quadrature for the time domain.\r\nThis is the first numerical algorithm which is able to deal with the coupled system of Landau–Lifshitz–Gilbert equation and full Maxwell’s equations without any simplifications like quasi-static approximations (e.g. eddy current model) and without restrictions on the shape of the domain (e.g. convexity).\r\nWe show well-posedness and convergence of the numerical algorithm under minimal assumptions on the regularity of the solution.\r\nThis is particularly important as there are few regularity results available and one generally expects the solution to be non-smooth.\r\nNumerical experiments illustrate and expand on the theoretical results.</jats:p>","lang":"eng"}],"date_updated":"2024-04-03T09:20:30Z","volume":23,"author":[{"full_name":"Bohn, Jan","last_name":"Bohn","first_name":"Jan"},{"first_name":"Michael","full_name":"Feischl, Michael","last_name":"Feischl"},{"full_name":"Kovács, Balázs","id":"100441","last_name":"Kovács","orcid":"0000-0001-9872-3474","first_name":"Balázs"}],"doi":"10.1515/cmam-2022-0145","publication_identifier":{"issn":["1609-4840","1609-9389"]},"publication_status":"published","page":"19-48","intvolume":"        23","citation":{"apa":"Bohn, J., Feischl, M., &#38; Kovács, B. (2022). FEM-BEM Coupling for the Maxwell–Landau–Lifshitz–Gilbert Equations via Convolution Quadrature: Weak Form and Numerical Approximation. <i>Computational Methods in Applied Mathematics</i>, <i>23</i>(1), 19–48. <a href=\"https://doi.org/10.1515/cmam-2022-0145\">https://doi.org/10.1515/cmam-2022-0145</a>","short":"J. Bohn, M. Feischl, B. Kovács, Computational Methods in Applied Mathematics 23 (2022) 19–48.","bibtex":"@article{Bohn_Feischl_Kovács_2022, title={FEM-BEM Coupling for the Maxwell–Landau–Lifshitz–Gilbert Equations via Convolution Quadrature: Weak Form and Numerical Approximation}, volume={23}, DOI={<a href=\"https://doi.org/10.1515/cmam-2022-0145\">10.1515/cmam-2022-0145</a>}, number={1}, journal={Computational Methods in Applied Mathematics}, publisher={Walter de Gruyter GmbH}, author={Bohn, Jan and Feischl, Michael and Kovács, Balázs}, year={2022}, pages={19–48} }","mla":"Bohn, Jan, et al. “FEM-BEM Coupling for the Maxwell–Landau–Lifshitz–Gilbert Equations via Convolution Quadrature: Weak Form and Numerical Approximation.” <i>Computational Methods in Applied Mathematics</i>, vol. 23, no. 1, Walter de Gruyter GmbH, 2022, pp. 19–48, doi:<a href=\"https://doi.org/10.1515/cmam-2022-0145\">10.1515/cmam-2022-0145</a>.","ieee":"J. Bohn, M. Feischl, and B. Kovács, “FEM-BEM Coupling for the Maxwell–Landau–Lifshitz–Gilbert Equations via Convolution Quadrature: Weak Form and Numerical Approximation,” <i>Computational Methods in Applied Mathematics</i>, vol. 23, no. 1, pp. 19–48, 2022, doi: <a href=\"https://doi.org/10.1515/cmam-2022-0145\">10.1515/cmam-2022-0145</a>.","chicago":"Bohn, Jan, Michael Feischl, and Balázs Kovács. “FEM-BEM Coupling for the Maxwell–Landau–Lifshitz–Gilbert Equations via Convolution Quadrature: Weak Form and Numerical Approximation.” <i>Computational Methods in Applied Mathematics</i> 23, no. 1 (2022): 19–48. <a href=\"https://doi.org/10.1515/cmam-2022-0145\">https://doi.org/10.1515/cmam-2022-0145</a>.","ama":"Bohn J, Feischl M, Kovács B. FEM-BEM Coupling for the Maxwell–Landau–Lifshitz–Gilbert Equations via Convolution Quadrature: Weak Form and Numerical Approximation. <i>Computational Methods in Applied Mathematics</i>. 2022;23(1):19-48. doi:<a href=\"https://doi.org/10.1515/cmam-2022-0145\">10.1515/cmam-2022-0145</a>"},"_id":"45956","department":[{"_id":"841"}],"user_id":"100441","type":"journal_article","status":"public"},{"citation":{"short":"N.J. KOUAGOU, S. Heindorf, C. Demir, A.-C. Ngonga Ngomo, in: The Semantic Web, Springer International Publishing, Cham, 2022.","bibtex":"@inbook{KOUAGOU_Heindorf_Demir_Ngonga Ngomo_2022, place={Cham}, title={Learning Concept Lengths Accelerates Concept Learning in ALC}, DOI={<a href=\"https://doi.org/10.1007/978-3-031-06981-9_14\">10.1007/978-3-031-06981-9_14</a>}, booktitle={The Semantic Web}, publisher={Springer International Publishing}, author={KOUAGOU, N’Dah Jean and Heindorf, Stefan and Demir, Caglar and Ngonga Ngomo, Axel-Cyrille}, year={2022} }","mla":"KOUAGOU, N’Dah Jean, et al. “Learning Concept Lengths Accelerates Concept Learning in ALC.” <i>The Semantic Web</i>, Springer International Publishing, 2022, doi:<a href=\"https://doi.org/10.1007/978-3-031-06981-9_14\">10.1007/978-3-031-06981-9_14</a>.","apa":"KOUAGOU, N. J., Heindorf, S., Demir, C., &#38; Ngonga Ngomo, A.-C. (2022). Learning Concept Lengths Accelerates Concept Learning in ALC. In <i>The Semantic Web</i>. Springer International Publishing. <a href=\"https://doi.org/10.1007/978-3-031-06981-9_14\">https://doi.org/10.1007/978-3-031-06981-9_14</a>","ieee":"N. J. KOUAGOU, S. Heindorf, C. Demir, and A.-C. Ngonga Ngomo, “Learning Concept Lengths Accelerates Concept Learning in ALC,” in <i>The Semantic Web</i>, Cham: Springer International Publishing, 2022.","chicago":"KOUAGOU, N’Dah Jean, Stefan Heindorf, Caglar Demir, and Axel-Cyrille Ngonga Ngomo. “Learning Concept Lengths Accelerates Concept Learning in ALC.” In <i>The Semantic Web</i>. Cham: Springer International Publishing, 2022. <a href=\"https://doi.org/10.1007/978-3-031-06981-9_14\">https://doi.org/10.1007/978-3-031-06981-9_14</a>.","ama":"KOUAGOU NJ, Heindorf S, Demir C, Ngonga Ngomo A-C. Learning Concept Lengths Accelerates Concept Learning in ALC. In: <i>The Semantic Web</i>. 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Scaffolding Close Reading of Mathematical Text in Pre-service Primary Teacher Education at the Tertiary Level: Design and Evaluation. <i>International Journal of Science and Mathematics Education</i>, <i>20</i>(S1), 215–236. <a href=\"https://doi.org/10.1007/s10763-022-10309-y\">https://doi.org/10.1007/s10763-022-10309-y</a>","ama":"Rezat S, Malik SN, Leifeld M. Scaffolding Close Reading of Mathematical Text in Pre-service Primary Teacher Education at the Tertiary Level: Design and Evaluation. <i>International Journal of Science and Mathematics Education</i>. 2022;20(S1):215-236. doi:<a href=\"https://doi.org/10.1007/s10763-022-10309-y\">10.1007/s10763-022-10309-y</a>","chicago":"Rezat, Sebastian, Sara Naseem Malik, and Markus Leifeld. “Scaffolding Close Reading of Mathematical Text in Pre-Service Primary Teacher Education at the Tertiary Level: Design and Evaluation.” <i>International Journal of Science and Mathematics Education</i> 20, no. S1 (2022): 215–36. <a href=\"https://doi.org/10.1007/s10763-022-10309-y\">https://doi.org/10.1007/s10763-022-10309-y</a>.","ieee":"S. Rezat, S. N. Malik, and M. Leifeld, “Scaffolding Close Reading of Mathematical Text in Pre-service Primary Teacher Education at the Tertiary Level: Design and Evaluation,” <i>International Journal of Science and Mathematics Education</i>, vol. 20, no. S1, pp. 215–236, 2022, doi: <a href=\"https://doi.org/10.1007/s10763-022-10309-y\">10.1007/s10763-022-10309-y</a>."},"intvolume":"        20","page":"215-236","publication_status":"published","publication_identifier":{"issn":["1571-0068","1573-1774"]},"doi":"10.1007/s10763-022-10309-y","author":[{"first_name":"Sebastian","last_name":"Rezat","full_name":"Rezat, Sebastian","id":"31132"},{"first_name":"Sara Naseem","last_name":"Malik","id":"38640","full_name":"Malik, Sara Naseem"},{"first_name":"Markus","full_name":"Leifeld, Markus","last_name":"Leifeld"}],"volume":20,"date_updated":"2024-04-18T08:22:47Z","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title><jats:p>Even in the digital age, learning mathematics at an academic level still requires much reading of mathematical text. Research has shown that reading mathematical text requires readers to engage with all the structures of the book and with its pedagogical voice, making connections, and plausible reasoning. Specific practices and strategies that support the close reading of mathematical text have been suggested; however, descriptions and empirical evaluations of materials designed to support these activities are rare. We present the design and first evaluation cycle of materials developed in a design research project that aims to scaffold close reading of mathematical text. The materials were designed and evaluated in a German university course on elementary geometry for first-year teacher education students who study mathematics to become primary teachers. The reading strategies were explained and modeled for students in reading-strategy videos. Additionally, close reading of mathematical text was scaffolded by close-reading tasks and homework tasks and problems that build on the reading strategies and were specifically designed to foster understanding of the mathematical text. Survey data were collected from 296 students to evaluate their use of and attitude toward the different materials. The quantitative results indicate that students used the materials and were generally able to learn the course content by themselves. From all provided materials, they found the close-reading tasks most helpful. A qualitative analysis of answers to open questions revealed issues with different materials, particularly with the script, and requests for additional materials. The issues with the script were categorized inductively. The categories are presented as a qualitative result of the study and discussed.</jats:p>"}],"publication":"International Journal of Science and Mathematics Education","language":[{"iso":"eng"}],"keyword":["General Mathematics","Education"],"year":"2022","issue":"S1","quality_controlled":"1","title":"Scaffolding Close Reading of Mathematical Text in Pre-service Primary Teacher Education at the Tertiary Level: Design and Evaluation","date_created":"2023-05-09T14:03:15Z","publisher":"Springer"}]