[{"issue":"2","intvolume":" 45","_id":"21600","type":"journal_article","citation":{"apa":"Dellnitz, M., Hüllermeier, E., Lücke, M., Ober-Blöbaum, S., Offen, C., Peitz, S., & Pfannschmidt, K. (2023). Efficient time stepping for numerical integration using reinforcement learning. SIAM Journal on Scientific Computing, 45(2), A579–A595. https://doi.org/10.1137/21M1412682","ama":"Dellnitz M, Hüllermeier E, Lücke M, et al. Efficient time stepping for numerical integration using reinforcement learning. SIAM Journal on Scientific Computing. 2023;45(2):A579-A595. doi:10.1137/21M1412682","chicago":"Dellnitz, Michael, Eyke Hüllermeier, Marvin Lücke, Sina Ober-Blöbaum, Christian Offen, Sebastian Peitz, and Karlson Pfannschmidt. “Efficient Time Stepping for Numerical Integration Using Reinforcement Learning.” SIAM Journal on Scientific Computing 45, no. 2 (2023): A579–95. https://doi.org/10.1137/21M1412682.","bibtex":"@article{Dellnitz_Hüllermeier_Lücke_Ober-Blöbaum_Offen_Peitz_Pfannschmidt_2023, title={Efficient time stepping for numerical integration using reinforcement learning}, volume={45}, DOI={10.1137/21M1412682}, number={2}, journal={SIAM Journal on Scientific Computing}, author={Dellnitz, Michael and Hüllermeier, Eyke and Lücke, Marvin and Ober-Blöbaum, Sina and Offen, Christian and Peitz, Sebastian and Pfannschmidt, Karlson}, year={2023}, pages={A579–A595} }","mla":"Dellnitz, Michael, et al. “Efficient Time Stepping for Numerical Integration Using Reinforcement Learning.” SIAM Journal on Scientific Computing, vol. 45, no. 2, 2023, pp. A579–95, doi:10.1137/21M1412682.","short":"M. Dellnitz, E. Hüllermeier, M. Lücke, S. Ober-Blöbaum, C. Offen, S. Peitz, K. Pfannschmidt, SIAM Journal on Scientific Computing 45 (2023) A579–A595.","ieee":"M. Dellnitz et al., “Efficient time stepping for numerical integration using reinforcement learning,” SIAM Journal on Scientific Computing, vol. 45, no. 2, pp. A579–A595, 2023, doi: 10.1137/21M1412682."},"year":"2023","page":"A579-A595","main_file_link":[{"url":"https://epubs.siam.org/doi/reader/10.1137/21M1412682"}],"user_id":"47427","ddc":["510"],"abstract":[{"lang":"eng","text":"Many problems in science and engineering require an efficient numerical approximation of integrals or solutions to differential equations. For systems with rapidly changing dynamics, an equidistant discretization is often inadvisable as it results in prohibitively large errors or computational effort. To this end, adaptive schemes, such as solvers based on Runge–Kutta pairs, have been developed which adapt the step size based on local error estimations at each step. While the classical schemes apply very generally and are highly efficient on regular systems, they can behave suboptimally when an inefficient step rejection mechanism is triggered by structurally complex systems such as chaotic systems. To overcome these issues, we propose a method to tailor numerical schemes to the problem class at hand. This is achieved by combining simple, classical quadrature rules or ODE solvers with data-driven time-stepping controllers. Compared with learning solution operators to ODEs directly, it generalizes better to unseen initial data as our approach employs classical numerical schemes as base methods. At the same time it can make use of identified structures of a problem class and, therefore, outperforms state-of-the-art adaptive schemes. Several examples demonstrate superior efficiency. Source code is available at https://github.com/lueckem/quadrature-ML."}],"has_accepted_license":"1","status":"public","date_created":"2021-04-09T07:59:19Z","volume":45,"author":[{"first_name":"Michael","full_name":"Dellnitz, Michael","last_name":"Dellnitz"},{"first_name":"Eyke","full_name":"Hüllermeier, Eyke","last_name":"Hüllermeier","id":"48129"},{"last_name":"Lücke","full_name":"Lücke, Marvin","first_name":"Marvin"},{"first_name":"Sina","full_name":"Ober-Blöbaum, Sina","last_name":"Ober-Blöbaum","id":"16494"},{"full_name":"Offen, Christian","orcid":"0000-0002-5940-8057","first_name":"Christian","id":"85279","last_name":"Offen"},{"id":"47427","last_name":"Peitz","full_name":"Peitz, Sebastian","orcid":"0000-0002-3389-793X","first_name":"Sebastian"},{"id":"13472","last_name":"Pfannschmidt","orcid":"0000-0001-9407-7903","full_name":"Pfannschmidt, Karlson","first_name":"Karlson"}],"publication":"SIAM Journal on Scientific Computing","doi":"10.1137/21M1412682","date_updated":"2023-08-25T09:24:50Z","language":[{"iso":"eng"}],"related_material":{"link":[{"url":"https://github.com/lueckem/quadrature-ML","description":"GitHub","relation":"software"}]},"title":"Efficient time stepping for numerical integration using reinforcement learning","external_id":{"arxiv":["arXiv:2104.03562"]},"publication_status":"published","department":[{"_id":"101"},{"_id":"636"},{"_id":"355"},{"_id":"655"}]},{"editor":[{"full_name":"Novotna, J.","first_name":"J.","last_name":"Novotna"},{"first_name":"H.","full_name":"Moraova, H.","last_name":"Moraova"}],"status":"public","date_created":"2023-08-30T09:40:23Z","author":[{"id":"48912","last_name":"Schwerin","full_name":"Schwerin, Imke","first_name":"Imke"},{"full_name":"Häsel-Weide, Uta","first_name":"Uta","id":"60267","last_name":"Häsel-Weide"}],"publisher":"Charles University","publication":"International Symposium in Elementary Mathematics Teaching. Proceedings: New Directions in Elementary Mathematics Education","department":[{"_id":"543"}],"title":"Second grader´s understanding of doubling and halfing in various representations","user_id":"44184","citation":{"short":"I. Schwerin, U. Häsel-Weide, in: J. Novotna, H. Moraova (Eds.), International Symposium in Elementary Mathematics Teaching. Proceedings: New Directions in Elementary Mathematics Education, Charles University, 2023, pp. 297–305.","ieee":"I. Schwerin and U. Häsel-Weide, “Second grader´s understanding of doubling and halfing in various representations,” in International Symposium in Elementary Mathematics Teaching. Proceedings: New Directions in Elementary Mathematics Education, Prag, 2023, pp. 297–305.","chicago":"Schwerin, Imke, and Uta Häsel-Weide. “Second Grader´s Understanding of Doubling and Halfing in Various Representations.” In International Symposium in Elementary Mathematics Teaching. Proceedings: New Directions in Elementary Mathematics Education, edited by J. Novotna and H. Moraova, 297–305. Charles University, 2023.","ama":"Schwerin I, Häsel-Weide U. Second grader´s understanding of doubling and halfing in various representations. In: Novotna J, Moraova H, eds. International Symposium in Elementary Mathematics Teaching. Proceedings: New Directions in Elementary Mathematics Education. Charles University; 2023:297-305.","apa":"Schwerin, I., & Häsel-Weide, U. (2023). Second grader´s understanding of doubling and halfing in various representations. In J. Novotna & H. Moraova (Eds.), International Symposium in Elementary Mathematics Teaching. Proceedings: New Directions in Elementary Mathematics Education (pp. 297–305). Charles University.","bibtex":"@inproceedings{Schwerin_Häsel-Weide_2023, title={Second grader´s understanding of doubling and halfing in various representations}, booktitle={International Symposium in Elementary Mathematics Teaching. Proceedings: New Directions in Elementary Mathematics Education}, publisher={Charles University}, author={Schwerin, Imke and Häsel-Weide, Uta}, editor={Novotna, J. and Moraova, H.}, year={2023}, pages={297–305} }","mla":"Schwerin, Imke, and Uta Häsel-Weide. “Second Grader´s Understanding of Doubling and Halfing in Various Representations.” International Symposium in Elementary Mathematics Teaching. Proceedings: New Directions in Elementary Mathematics Education, edited by J. Novotna and H. Moraova, Charles University, 2023, pp. 297–305."},"year":"2023","type":"conference","page":"297-305","language":[{"iso":"eng"}],"_id":"46757","date_updated":"2023-08-30T09:55:41Z","conference":{"name":"International Symposium in Elementary Mathematics Teaching","location":"Prag"}},{"user_id":"44184","title":"Lehre in Zeiten von Digitalisierung und Inklusion - Beispiele aus drei Fächern","author":[{"first_name":"Rebekka","full_name":"Schmidt, Rebekka","last_name":"Schmidt","id":"58565"},{"full_name":"Tenberge, Claudia","first_name":"Claudia","id":"67302","last_name":"Tenberge"},{"full_name":"Häsel-Weide, Uta","first_name":"Uta","id":"60267","last_name":"Häsel-Weide"}],"publisher":"Visual Ink Publishing","publication":"Aktive Teilhabe fördern – ICM und Student Engagement in der Hochschullehre","department":[{"_id":"543"}],"status":"public","date_created":"2023-08-30T09:54:47Z","editor":[{"full_name":"Vöing, N.","first_name":"N.","last_name":"Vöing"},{"full_name":"Schmidt, R.","first_name":"R.","last_name":"Schmidt"},{"first_name":"I.","full_name":"Neiske, I.","last_name":"Neiske"}],"date_updated":"2023-08-30T09:55:46Z","_id":"46758","language":[{"iso":"ger"}],"type":"book_chapter","citation":{"short":"R. Schmidt, C. Tenberge, U. Häsel-Weide, in: N. Vöing, R. Schmidt, I. Neiske (Eds.), Aktive Teilhabe fördern – ICM und Student Engagement in der Hochschullehre, Visual Ink Publishing, 2023, pp. 297–318.","ieee":"R. Schmidt, C. Tenberge, and U. Häsel-Weide, “Lehre in Zeiten von Digitalisierung und Inklusion - Beispiele aus drei Fächern,” in Aktive Teilhabe fördern – ICM und Student Engagement in der Hochschullehre, N. Vöing, R. Schmidt, and I. Neiske, Eds. Visual Ink Publishing, 2023, pp. 297–318.","chicago":"Schmidt, Rebekka, Claudia Tenberge, and Uta Häsel-Weide. “Lehre in Zeiten von Digitalisierung und Inklusion - Beispiele aus drei Fächern.” In Aktive Teilhabe fördern – ICM und Student Engagement in der Hochschullehre, edited by N. Vöing, R. Schmidt, and I. Neiske, 297–318. Visual Ink Publishing, 2023.","ama":"Schmidt R, Tenberge C, Häsel-Weide U. Lehre in Zeiten von Digitalisierung und Inklusion - Beispiele aus drei Fächern. In: Vöing N, Schmidt R, Neiske I, eds. Aktive Teilhabe fördern – ICM und Student Engagement in der Hochschullehre. Visual Ink Publishing; 2023:297-318.","apa":"Schmidt, R., Tenberge, C., & Häsel-Weide, U. (2023). Lehre in Zeiten von Digitalisierung und Inklusion - Beispiele aus drei Fächern. In N. Vöing, R. Schmidt, & I. Neiske (Eds.), Aktive Teilhabe fördern – ICM und Student Engagement in der Hochschullehre (pp. 297–318). Visual Ink Publishing.","bibtex":"@inbook{Schmidt_Tenberge_Häsel-Weide_2023, title={Lehre in Zeiten von Digitalisierung und Inklusion - Beispiele aus drei Fächern}, booktitle={Aktive Teilhabe fördern – ICM und Student Engagement in der Hochschullehre}, publisher={Visual Ink Publishing}, author={Schmidt, Rebekka and Tenberge, Claudia and Häsel-Weide, Uta}, editor={Vöing, N. and Schmidt, R. and Neiske, I.}, year={2023}, pages={297–318} }","mla":"Schmidt, Rebekka, et al. “Lehre in Zeiten von Digitalisierung und Inklusion - Beispiele aus drei Fächern.” Aktive Teilhabe fördern – ICM und Student Engagement in der Hochschullehre, edited by N. Vöing et al., Visual Ink Publishing, 2023, pp. 297–318."},"year":"2023","page":"297-318"},{"date_updated":"2023-09-25T11:18:19Z","_id":"47416","doi":"10.1007/978-3-662-66604-3_8","language":[{"iso":"eng"}],"year":"2023","type":"book_chapter","citation":{"bibtex":"@inbook{Biehler_Engel_Frischemeier_2023, place={Berlin, Heidelberg}, title={Stochastik: Leitidee Daten und Zufall}, DOI={10.1007/978-3-662-66604-3_8}, booktitle={Handbuch der Mathematikdidaktik}, publisher={Springer}, author={Biehler, Rolf and Engel, Joachim and Frischemeier, Daniel}, editor={Bruder, Regina and Büchter, A. and Gasteiger, H. and Schmidt-Thieme, B. and Weigand, HG.}, year={2023} }","mla":"Biehler, Rolf, et al. “Stochastik: Leitidee Daten Und Zufall.” Handbuch Der Mathematikdidaktik, edited by Regina Bruder et al., Springer, 2023, doi:10.1007/978-3-662-66604-3_8.","apa":"Biehler, R., Engel, J., & Frischemeier, D. (2023). Stochastik: Leitidee Daten und Zufall. In R. Bruder, A. Büchter, H. Gasteiger, B. Schmidt-Thieme, & HG. Weigand (Eds.), Handbuch der Mathematikdidaktik. Springer. https://doi.org/10.1007/978-3-662-66604-3_8","ama":"Biehler R, Engel J, Frischemeier D. Stochastik: Leitidee Daten und Zufall. In: Bruder R, Büchter A, Gasteiger H, Schmidt-Thieme B, Weigand HG, eds. Handbuch Der Mathematikdidaktik. Springer; 2023. doi:10.1007/978-3-662-66604-3_8","chicago":"Biehler, Rolf, Joachim Engel, and Daniel Frischemeier. “Stochastik: Leitidee Daten Und Zufall.” In Handbuch Der Mathematikdidaktik, edited by Regina Bruder, A. Büchter, H. Gasteiger, B. Schmidt-Thieme, and HG. Weigand. Berlin, Heidelberg: Springer, 2023. https://doi.org/10.1007/978-3-662-66604-3_8.","ieee":"R. Biehler, J. Engel, and D. Frischemeier, “Stochastik: Leitidee Daten und Zufall,” in Handbuch der Mathematikdidaktik, R. Bruder, A. Büchter, H. Gasteiger, B. Schmidt-Thieme, and HG. Weigand, Eds. Berlin, Heidelberg: Springer, 2023.","short":"R. Biehler, J. Engel, D. Frischemeier, in: R. Bruder, A. Büchter, H. Gasteiger, B. Schmidt-Thieme, HG. Weigand (Eds.), Handbuch Der Mathematikdidaktik, Springer, Berlin, Heidelberg, 2023."},"place":"Berlin, Heidelberg","user_id":"37888","title":"Stochastik: Leitidee Daten und Zufall","author":[{"last_name":"Biehler","id":"16274","first_name":"Rolf","full_name":"Biehler, Rolf"},{"last_name":"Engel","full_name":"Engel, Joachim","first_name":"Joachim"},{"full_name":"Frischemeier, Daniel","first_name":"Daniel","last_name":"Frischemeier"}],"publisher":"Springer","publication":"Handbuch der Mathematikdidaktik","department":[{"_id":"34"},{"_id":"10"},{"_id":"97"},{"_id":"363"}],"status":"public","date_created":"2023-09-25T11:15:18Z","editor":[{"full_name":"Bruder, Regina","first_name":"Regina","last_name":"Bruder"},{"full_name":"Büchter, A.","first_name":"A.","last_name":"Büchter"},{"last_name":"Gasteiger","first_name":"H.","full_name":"Gasteiger, H."},{"last_name":"Schmidt-Thieme","first_name":"B.","full_name":"Schmidt-Thieme, B."},{"last_name":"Weigand","first_name":"HG.","full_name":"Weigand, HG."}],"publication_status":"published","publication_identifier":{"isbn":["9783662666036","9783662666043"]}},{"author":[{"orcid":"0000-0001-9074-1205","full_name":"Hinrichs, Benjamin","first_name":"Benjamin","id":"99427","last_name":"Hinrichs"},{"last_name":"Matte","full_name":"Matte, Oliver","first_name":"Oliver"}],"department":[{"_id":"799"},{"_id":"623"}],"publication":"arXiv:2309.09005","status":"public","date_created":"2023-10-02T06:21:37Z","project":[{"name":"PhoQC: PhoQC: Photonisches Quantencomputing","_id":"266"}],"external_id":{"arxiv":["2309.09005"]},"abstract":[{"text":"In this proceeding we consider a translation invariant Nelson type model in\r\ntwo spatial dimensions modeling a scalar relativistic particle in interaction\r\nwith a massive radiation field. As is well-known, the corresponding Hamiltonian\r\ncan be defined with the help of an energy renormalization. First, we review a\r\nFeynman-Kac formula for the semigroup generated by this Hamiltonian proven by\r\nthe authors in a recent preprint (where several matter particles and exterior\r\npotentials are treated as well). After that, we employ a few technical key\r\nrelations and estimates obtained in our preprint to present an otherwise\r\nself-contained derivation of new Feynman-Kac formulas for the fiber\r\nHamiltonians attached to fixed total momenta of the translation invariant\r\nsystem. We conclude by inferring an alternative derivation of the Feynman-Kac\r\nformula for the full translation invariant Hamiltonian.","lang":"eng"}],"user_id":"99427","title":"Feynman-Kac formula for fiber Hamiltonians in the relativistic Nelson model in two spatial dimensions","language":[{"iso":"eng"}],"citation":{"ieee":"B. Hinrichs and O. Matte, “Feynman-Kac formula for fiber Hamiltonians in the relativistic Nelson model in two spatial dimensions,” arXiv:2309.09005. 2023.","short":"B. Hinrichs, O. Matte, ArXiv:2309.09005 (2023).","mla":"Hinrichs, Benjamin, and Oliver Matte. “Feynman-Kac Formula for Fiber Hamiltonians in the Relativistic Nelson Model in Two Spatial Dimensions.” ArXiv:2309.09005, 2023.","bibtex":"@article{Hinrichs_Matte_2023, title={Feynman-Kac formula for fiber Hamiltonians in the relativistic Nelson model in two spatial dimensions}, journal={arXiv:2309.09005}, author={Hinrichs, Benjamin and Matte, Oliver}, year={2023} }","chicago":"Hinrichs, Benjamin, and Oliver Matte. “Feynman-Kac Formula for Fiber Hamiltonians in the Relativistic Nelson Model in Two Spatial Dimensions.” ArXiv:2309.09005, 2023.","ama":"Hinrichs B, Matte O. Feynman-Kac formula for fiber Hamiltonians in the relativistic Nelson model in two spatial dimensions. arXiv:230909005. Published online 2023.","apa":"Hinrichs, B., & Matte, O. (2023). Feynman-Kac formula for fiber Hamiltonians in the relativistic Nelson model in two spatial dimensions. In arXiv:2309.09005."},"year":"2023","type":"preprint","_id":"47534","date_updated":"2023-10-02T06:22:55Z"},{"_id":"48042","date_updated":"2023-10-12T11:31:47Z","language":[{"iso":"eng"}],"citation":{"short":"R. Biehler, D. Frischemeier, R. Gould, M. Pfannkuch, in: B. Pepin, G. Gueudet, J. Choppin (Eds.), Handbook of Digital Resources in Mathematics Education, Springer International Publishing, Cham, 2023.","ieee":"R. Biehler, D. Frischemeier, R. Gould, and M. Pfannkuch, “Impacts of Digitalization on Content and Goals of Statistics Education,” in Handbook of Digital Resources in Mathematics Education, B. Pepin, G. Gueudet, and J. Choppin, Eds. Cham: Springer International Publishing, 2023.","chicago":"Biehler, Rolf, Daniel Frischemeier, Ronald Gould, and Maxine Pfannkuch. “Impacts of Digitalization on Content and Goals of Statistics Education.” In Handbook of Digital Resources in Mathematics Education, edited by Birgit Pepin, Ghislaine Gueudet, and Jeffrey Choppin. Cham: Springer International Publishing, 2023.","ama":"Biehler R, Frischemeier D, Gould R, Pfannkuch M. Impacts of Digitalization on Content and Goals of Statistics Education. In: Pepin B, Gueudet G, Choppin J, eds. Handbook of Digital Resources in Mathematics Education. Springer International Publishing; 2023.","apa":"Biehler, R., Frischemeier, D., Gould, R., & Pfannkuch, M. (2023). Impacts of Digitalization on Content and Goals of Statistics Education. In B. Pepin, G. Gueudet, & J. Choppin (Eds.), Handbook of Digital Resources in Mathematics Education. Springer International Publishing.","mla":"Biehler, Rolf, et al. “Impacts of Digitalization on Content and Goals of Statistics Education.” Handbook of Digital Resources in Mathematics Education, edited by Birgit Pepin et al., Springer International Publishing, 2023.","bibtex":"@inbook{Biehler_Frischemeier_Gould_Pfannkuch_2023, place={Cham}, title={Impacts of Digitalization on Content and Goals of Statistics Education}, booktitle={Handbook of Digital Resources in Mathematics Education}, publisher={Springer International Publishing}, author={Biehler, Rolf and Frischemeier, Daniel and Gould, Ronald and Pfannkuch, Maxine}, editor={Pepin, Birgit and Gueudet, Ghislaine and Choppin, Jeffrey}, year={2023} }"},"type":"book_chapter","year":"2023","user_id":"37888","title":"Impacts of Digitalization on Content and Goals of Statistics Education","place":"Cham","date_created":"2023-10-12T11:31:22Z","status":"public","editor":[{"first_name":"Birgit","full_name":"Pepin, Birgit","last_name":"Pepin"},{"first_name":"Ghislaine","full_name":"Gueudet, Ghislaine","last_name":"Gueudet"},{"last_name":"Choppin","first_name":"Jeffrey","full_name":"Choppin, Jeffrey"}],"department":[{"_id":"34"},{"_id":"10"},{"_id":"97"},{"_id":"363"}],"publication":"Handbook of Digital Resources in Mathematics Education","publisher":"Springer International Publishing","author":[{"id":"16274","last_name":"Biehler","full_name":"Biehler, Rolf","first_name":"Rolf"},{"first_name":"Daniel","full_name":"Frischemeier, Daniel","last_name":"Frischemeier"},{"last_name":"Gould","full_name":"Gould, Ronald","first_name":"Ronald"},{"last_name":"Pfannkuch","first_name":"Maxine","full_name":"Pfannkuch, Maxine"}]},{"doi":"10.1007/978-3-662-66604-3_18","_id":"48319","date_updated":"2023-10-19T09:33:54Z","page":"561-595","year":"2023","citation":{"chicago":"Leiss, Dominik, Kerstin Gerlach, Lena Wessel, and Barbara Schmidt-Thieme. “Sprache und Mathematiklernen.” In Handbuch der Mathematikdidaktik, 561–95. Berlin, Heidelberg: Springer Berlin Heidelberg, 2023. https://doi.org/10.1007/978-3-662-66604-3_18.","apa":"Leiss, D., Gerlach, K., Wessel, L., & Schmidt-Thieme, B. (2023). Sprache und Mathematiklernen. In Handbuch der Mathematikdidaktik (pp. 561–595). Springer Berlin Heidelberg. https://doi.org/10.1007/978-3-662-66604-3_18","ama":"Leiss D, Gerlach K, Wessel L, Schmidt-Thieme B. Sprache und Mathematiklernen. In: Handbuch der Mathematikdidaktik. Springer Berlin Heidelberg; 2023:561-595. doi:10.1007/978-3-662-66604-3_18","mla":"Leiss, Dominik, et al. “Sprache und Mathematiklernen.” Handbuch der Mathematikdidaktik, Springer Berlin Heidelberg, 2023, pp. 561–95, doi:10.1007/978-3-662-66604-3_18.","bibtex":"@inbook{Leiss_Gerlach_Wessel_Schmidt-Thieme_2023, place={Berlin, Heidelberg}, title={Sprache und Mathematiklernen}, DOI={10.1007/978-3-662-66604-3_18}, booktitle={Handbuch der Mathematikdidaktik}, publisher={Springer Berlin Heidelberg}, author={Leiss, Dominik and Gerlach, Kerstin and Wessel, Lena and Schmidt-Thieme, Barbara}, year={2023}, pages={561–595} }","short":"D. Leiss, K. Gerlach, L. Wessel, B. Schmidt-Thieme, in: Handbuch der Mathematikdidaktik, Springer Berlin Heidelberg, Berlin, Heidelberg, 2023, pp. 561–595.","ieee":"D. Leiss, K. Gerlach, L. Wessel, and B. Schmidt-Thieme, “Sprache und Mathematiklernen,” in Handbuch der Mathematikdidaktik, Berlin, Heidelberg: Springer Berlin Heidelberg, 2023, pp. 561–595."},"type":"book_chapter","language":[{"iso":"ger"}],"title":"Sprache und Mathematiklernen","user_id":"37888","place":"Berlin, Heidelberg","publication_identifier":{"isbn":["9783662666036","9783662666043"]},"publication_status":"published","date_created":"2023-10-19T09:12:45Z","status":"public","publication":"Handbuch der Mathematikdidaktik","department":[{"_id":"34"},{"_id":"10"},{"_id":"97"},{"_id":"643"}],"author":[{"full_name":"Leiss, Dominik","first_name":"Dominik","last_name":"Leiss"},{"last_name":"Gerlach","full_name":"Gerlach, Kerstin","first_name":"Kerstin"},{"last_name":"Wessel","id":"85190","first_name":"Lena","full_name":"Wessel, Lena"},{"last_name":"Schmidt-Thieme","first_name":"Barbara","full_name":"Schmidt-Thieme, Barbara"}],"publisher":"Springer Berlin Heidelberg"},{"_id":"48480","date_updated":"2023-10-26T07:01:40Z","page":"121-124","type":"book_chapter","year":"2023","citation":{"ieee":"J. Kortmeyer and R. Biehler, “The use of integrals for accumulation and mean values in basic electrical engineering courses,” in The Learning and Teaching of Calculus Across Disciplines – Proceedings of the Second Calculus Conference, T. Dreyfus, A. S. Gonzalez-Martin, E. Nardi, J. Monaghan, and P. W. Thompson, Eds. MatRIC, 2023, pp. 121–124.","short":"J. Kortmeyer, R. Biehler, in: T. Dreyfus, A.S. Gonzalez-Martin, E. Nardi, J. Monaghan, P.W. Thompson (Eds.), The Learning and Teaching of Calculus Across Disciplines – Proceedings of the Second Calculus Conference, MatRIC, 2023, pp. 121–124.","bibtex":"@inbook{Kortmeyer_Biehler_2023, title={The use of integrals for accumulation and mean values in basic electrical engineering courses}, booktitle={The Learning and Teaching of Calculus Across Disciplines – Proceedings of the Second Calculus Conference}, publisher={MatRIC}, author={Kortmeyer, Jörg and Biehler, Rolf}, editor={Dreyfus, T. and Gonzalez-Martin, A. S. and Nardi, E. and Monaghan, J. and Thompson, P. W.}, year={2023}, pages={121–124} }","mla":"Kortmeyer, Jörg, and Rolf Biehler. “The Use of Integrals for Accumulation and Mean Values in Basic Electrical Engineering Courses.” The Learning and Teaching of Calculus Across Disciplines – Proceedings of the Second Calculus Conference, edited by T. Dreyfus et al., MatRIC, 2023, pp. 121–24.","chicago":"Kortmeyer, Jörg, and Rolf Biehler. “The Use of Integrals for Accumulation and Mean Values in Basic Electrical Engineering Courses.” In The Learning and Teaching of Calculus Across Disciplines – Proceedings of the Second Calculus Conference, edited by T. Dreyfus, A. S. Gonzalez-Martin, E. Nardi, J. Monaghan, and P. W. Thompson, 121–24. MatRIC, 2023.","ama":"Kortmeyer J, Biehler R. The use of integrals for accumulation and mean values in basic electrical engineering courses. In: Dreyfus T, Gonzalez-Martin AS, Nardi E, Monaghan J, Thompson PW, eds. 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