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(2018). Liquid crystalline dithienothiophene derivatives for organic electronics. <i>Organic Electronics</i>, <i>61</i>, 266–275. <a href=\"https://doi.org/10.1016/j.orgel.2018.06.002\">https://doi.org/10.1016/j.orgel.2018.06.002</a>","ieee":"J. Vollbrecht <i>et al.</i>, “Liquid crystalline dithienothiophene derivatives for organic electronics,” <i>Organic Electronics</i>, vol. 61, pp. 266–275, 2018, doi: <a href=\"https://doi.org/10.1016/j.orgel.2018.06.002\">10.1016/j.orgel.2018.06.002</a>.","chicago":"Vollbrecht, Joachim, Peter Oechsle, Arne Stepen, Florian Hoffmann, Jan Paradies, Thorsten Meyers, Ulrich Hilleringmann, Jürgen Schmidtke, and Heinz Kitzerow. “Liquid Crystalline Dithienothiophene Derivatives for Organic Electronics.” <i>Organic Electronics</i> 61 (2018): 266–75. <a href=\"https://doi.org/10.1016/j.orgel.2018.06.002\">https://doi.org/10.1016/j.orgel.2018.06.002</a>.","short":"J. Vollbrecht, P. Oechsle, A. Stepen, F. Hoffmann, J. Paradies, T. Meyers, U. Hilleringmann, J. Schmidtke, H. Kitzerow, Organic Electronics 61 (2018) 266–275.","mla":"Vollbrecht, Joachim, et al. “Liquid Crystalline Dithienothiophene Derivatives for Organic Electronics.” <i>Organic Electronics</i>, vol. 61, Elsevier BV, 2018, pp. 266–75, doi:<a href=\"https://doi.org/10.1016/j.orgel.2018.06.002\">10.1016/j.orgel.2018.06.002</a>.","ama":"Vollbrecht J, Oechsle P, Stepen A, et al. Liquid crystalline dithienothiophene derivatives for organic electronics. <i>Organic Electronics</i>. 2018;61:266-275. doi:<a href=\"https://doi.org/10.1016/j.orgel.2018.06.002\">10.1016/j.orgel.2018.06.002</a>","bibtex":"@article{Vollbrecht_Oechsle_Stepen_Hoffmann_Paradies_Meyers_Hilleringmann_Schmidtke_Kitzerow_2018, title={Liquid crystalline dithienothiophene derivatives for organic electronics}, volume={61}, DOI={<a href=\"https://doi.org/10.1016/j.orgel.2018.06.002\">10.1016/j.orgel.2018.06.002</a>}, journal={Organic Electronics}, publisher={Elsevier BV}, author={Vollbrecht, Joachim and Oechsle, Peter and Stepen, Arne and Hoffmann, Florian and Paradies, Jan and Meyers, Thorsten and Hilleringmann, Ulrich and Schmidtke, Jürgen and Kitzerow, Heinz}, year={2018}, pages={266–275} }"}},{"department":[{"_id":"602"}],"type":"journal_article","date_created":"2023-05-02T18:50:35Z","abstract":[{"lang":"eng","text":"This work deals with an algebro–geometric theory of solutions of the classical Yang–Baxter equation based on torsion free coherent sheaves of Lie algebras on Weierstraß cubic curves."}],"citation":{"mla":"Burban, Igor, and L. Galinat. “Torsion Free Sheaves on Weierstraß Cubic Curves and the Classical Yang-Baxter Equation.” <i>Communications in Mathematical Physics</i>, vol. 364, no. 1, 2018, pp. 123–169, doi:<a href=\"https://doi.org/10.1007/s00220-018-3172-2\">10.1007/s00220-018-3172-2</a>.","bibtex":"@article{Burban_Galinat_2018, title={Torsion free sheaves on Weierstraß cubic curves and the classical Yang-Baxter equation}, volume={364}, DOI={<a href=\"https://doi.org/10.1007/s00220-018-3172-2\">10.1007/s00220-018-3172-2</a>}, number={1}, journal={Communications in Mathematical Physics}, author={Burban, Igor and Galinat, L.}, year={2018}, pages={123–169} }","ama":"Burban I, Galinat L. Torsion free sheaves on Weierstraß cubic curves and the classical Yang-Baxter equation. <i>Communications in Mathematical Physics</i>. 2018;364(1):123–169. doi:<a href=\"https://doi.org/10.1007/s00220-018-3172-2\">10.1007/s00220-018-3172-2</a>","ieee":"I. Burban and L. Galinat, “Torsion free sheaves on Weierstraß cubic curves and the classical Yang-Baxter equation,” <i>Communications in Mathematical Physics</i>, vol. 364, no. 1, pp. 123–169, 2018, doi: <a href=\"https://doi.org/10.1007/s00220-018-3172-2\">10.1007/s00220-018-3172-2</a>.","apa":"Burban, I., &#38; Galinat, L. (2018). Torsion free sheaves on Weierstraß cubic curves and the classical Yang-Baxter equation. <i>Communications in Mathematical Physics</i>, <i>364</i>(1), 123–169. <a href=\"https://doi.org/10.1007/s00220-018-3172-2\">https://doi.org/10.1007/s00220-018-3172-2</a>","chicago":"Burban, Igor, and L. Galinat. “Torsion Free Sheaves on Weierstraß Cubic Curves and the Classical Yang-Baxter Equation.” <i>Communications in Mathematical Physics</i> 364, no. 1 (2018): 123–169. <a href=\"https://doi.org/10.1007/s00220-018-3172-2\">https://doi.org/10.1007/s00220-018-3172-2</a>.","short":"I. Burban, L. Galinat, Communications in Mathematical Physics 364 (2018) 123–169."},"publication":"Communications in Mathematical Physics","issue":"1","volume":364,"doi":"10.1007/s00220-018-3172-2","user_id":"49063","language":[{"iso":"eng"}],"_id":"44333","page":"123–169","intvolume":"       364","date_updated":"2023-05-07T01:34:43Z","publication_status":"published","author":[{"last_name":"Burban","first_name":"Igor","full_name":"Burban, Igor","id":"72064"},{"first_name":"L.","last_name":"Galinat","full_name":"Galinat, L."}],"year":"2018","status":"public","title":"Torsion free sheaves on Weierstraß cubic curves and the classical Yang-Baxter equation"},{"main_file_link":[{"url":"https://doi.org/10.48550/arXiv.1805.05174"}],"_id":"44538","language":[{"iso":"eng"}],"user_id":"49063","status":"public","title":"Non-commutative nodal curves and derived tame algebras","year":"2018","author":[{"first_name":"Igor","last_name":"Burban","full_name":"Burban, Igor","id":"72064"},{"full_name":"Drozd, Yu.","last_name":"Drozd","first_name":"Yu."}],"publication_status":"published","date_updated":"2023-05-07T01:36:42Z","date_created":"2023-05-07T00:56:31Z","type":"preprint","department":[{"_id":"602"}],"citation":{"short":"I. 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Drozd. <i>Non-Commutative Nodal Curves and Derived Tame Algebras</i>. 2018."}},{"user_id":"49063","volume":29,"article_number":"1850064-46 pp","_id":"44332","language":[{"iso":"eng"}],"publication_status":"published","date_updated":"2023-05-07T01:41:27Z","intvolume":"        29","year":"2018","title":"Fourier-Mukai transform on Weierstraß cubics and commuting differential operators","status":"public","author":[{"id":"72064","full_name":"Burban, Igor","first_name":"Igor","last_name":"Burban"},{"last_name":"Zheglov","first_name":"A.","full_name":"Zheglov, A."}],"type":"journal_article","department":[{"_id":"602"}],"date_created":"2023-05-02T18:49:12Z","issue":"10","publication":"International Journal of Mathematics","citation":{"apa":"Burban, I., &#38; Zheglov, A. (2018). Fourier-Mukai transform on Weierstraß cubics and commuting differential operators. <i>International Journal of Mathematics</i>, <i>29</i>(10), Article 1850064- 46 pp.","ieee":"I. Burban and A. 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Gasteiger. “Gemeinsame Arbeitsphasen produktiv nutzen – verschiedene Methoden kooperativen Lernens im Mathematikunterricht der Grundschule.” <i>mathematik lehren</i>, vol. 205, 2018, pp. 10–13.","ama":"Bruns J, Gasteiger H. Gemeinsame Arbeitsphasen produktiv nutzen – verschiedene Methoden kooperativen Lernens im Mathematikunterricht der Grundschule. <i>mathematik lehren</i>. 2018;205:10–13.","bibtex":"@article{Bruns_Gasteiger_2018, title={Gemeinsame Arbeitsphasen produktiv nutzen – verschiedene Methoden kooperativen Lernens im Mathematikunterricht der Grundschule}, volume={205}, journal={mathematik lehren}, author={Bruns, Julia and Gasteiger, H.}, year={2018}, pages={10–13} }","apa":"Bruns, J., &#38; Gasteiger, H. (2018). Gemeinsame Arbeitsphasen produktiv nutzen – verschiedene Methoden kooperativen Lernens im Mathematikunterricht der Grundschule. <i>mathematik lehren</i>, <i>205</i>, 10–13.","ieee":"J. Bruns and H. Gasteiger, “Gemeinsame Arbeitsphasen produktiv nutzen – verschiedene Methoden kooperativen Lernens im Mathematikunterricht der Grundschule,” <i>mathematik lehren</i>, vol. 205, pp. 10–13, 2018.","chicago":"Bruns, Julia, and H. Gasteiger. “Gemeinsame Arbeitsphasen produktiv nutzen – verschiedene Methoden kooperativen Lernens im Mathematikunterricht der Grundschule.” <i>mathematik lehren</i> 205 (2018): 10–13.","short":"J. Bruns, H. Gasteiger, mathematik lehren 205 (2018) 10–13."}},{"page":"267–289","publisher":"Springer International Publishing","_id":"36485","user_id":"49063","editor":[{"full_name":"Elia, Iliada","last_name":"Elia","first_name":"Iliada"},{"last_name":"Mulligan","first_name":"Joanne","full_name":"Mulligan, Joanne"},{"first_name":"Ann","last_name":"Anderson","full_name":"Anderson, Ann"},{"full_name":"Baccaglini-Frank, Anna","first_name":"Anna","last_name":"Baccaglini-Frank"},{"last_name":"Benz","first_name":"Christiane","full_name":"Benz, Christiane"}],"status":"public","place":"Cham, Switzerland","citation":{"chicago":"Cooke, Audrey, and Julia Bruns. “Early Childhood Educators’ Issues and Perspectives in Mathematics Education.” In <i>Contemporary Research and Perspectives on Early Childhood Mathematics Education</i>, edited by Iliada Elia, Joanne Mulligan, Ann Anderson, Anna Baccaglini-Frank, and Christiane Benz, 267–289. Cham, Switzerland: Springer International Publishing, 2018. <a href=\"https://doi.org/10.1007/978-3-319-73432-3_14\">https://doi.org/10.1007/978-3-319-73432-3_14</a>.","short":"A. Cooke, J. Bruns, in: I. Elia, J. Mulligan, A. Anderson, A. Baccaglini-Frank, C. Benz (Eds.), Contemporary Research and Perspectives on Early Childhood Mathematics Education, Springer International Publishing, Cham, Switzerland, 2018, pp. 267–289.","ieee":"A. Cooke and J. Bruns, “Early Childhood Educators’ Issues and Perspectives in Mathematics Education,” in <i>Contemporary Research and Perspectives on Early Childhood Mathematics Education</i>, I. Elia, J. Mulligan, A. Anderson, A. Baccaglini-Frank, and C. Benz, Eds. Cham, Switzerland: Springer International Publishing, 2018, pp. 267–289.","apa":"Cooke, A., &#38; Bruns, J. (2018). Early Childhood Educators’ Issues and Perspectives in Mathematics Education. In I. Elia, J. Mulligan, A. Anderson, A. Baccaglini-Frank, &#38; C. Benz (Eds.), <i>Contemporary Research and Perspectives on Early Childhood Mathematics Education</i> (pp. 267–289). Springer International Publishing. <a href=\"https://doi.org/10.1007/978-3-319-73432-3_14\">https://doi.org/10.1007/978-3-319-73432-3_14</a>","bibtex":"@inbook{Cooke_Bruns_2018, place={Cham, Switzerland}, title={Early Childhood Educators’ Issues and Perspectives in Mathematics Education}, DOI={<a href=\"https://doi.org/10.1007/978-3-319-73432-3_14\">10.1007/978-3-319-73432-3_14</a>}, booktitle={Contemporary Research and Perspectives on Early Childhood Mathematics Education}, publisher={Springer International Publishing}, author={Cooke, Audrey and Bruns, Julia}, editor={Elia, Iliada and Mulligan, Joanne and Anderson, Ann and Baccaglini-Frank, Anna and Benz, Christiane}, year={2018}, pages={267–289} }","ama":"Cooke A, Bruns J. Early Childhood Educators’ Issues and Perspectives in Mathematics Education. In: Elia I, Mulligan J, Anderson A, Baccaglini-Frank A, Benz C, eds. <i>Contemporary Research and Perspectives on Early Childhood Mathematics Education</i>. Springer International Publishing; 2018:267–289. doi:<a href=\"https://doi.org/10.1007/978-3-319-73432-3_14\">10.1007/978-3-319-73432-3_14</a>","mla":"Cooke, Audrey, and Julia Bruns. “Early Childhood Educators’ Issues and Perspectives in Mathematics Education.” <i>Contemporary Research and Perspectives on Early Childhood Mathematics Education</i>, edited by Iliada Elia et al., Springer International Publishing, 2018, pp. 267–289, doi:<a href=\"https://doi.org/10.1007/978-3-319-73432-3_14\">10.1007/978-3-319-73432-3_14</a>."},"language":[{"iso":"eng"}],"doi":"10.1007/978-3-319-73432-3_14","year":"2018","title":"Early Childhood Educators’ Issues and Perspectives in Mathematics Education","author":[{"last_name":"Cooke","first_name":"Audrey","full_name":"Cooke, Audrey"},{"id":"72183","full_name":"Bruns, Julia","first_name":"Julia","orcid":"https://orcid.org/0000-0002-6604-5864","last_name":"Bruns"}],"publication_identifier":{"isbn":["978-3-319-73432-3"]},"publication_status":"published","date_updated":"2023-06-20T19:16:42Z","date_created":"2023-01-12T15:36:28Z","type":"book_chapter","department":[{"_id":"611"},{"_id":"97"}],"publication":"Contemporary Research and Perspectives on Early Childhood Mathematics Education","abstract":[{"text":"This chapter presents an overview of the contributions in TSG 1: Early Childhood Mathematics Education at ICME-13 which focused on issues from the perspective of early childhood educators. A basic assumption of this chapter is that the opportunities for young children to develop mathematical understandings and skills are influenced by several conditions at a macro, meso and micro level. First, curricula provide a framework for early mathematics teaching and learning with varying expectations (by teachers) about what can occur in the pre-school environment—informal learning (such as through play), content to learn and activities to experience. Second, early childhood educators’ mathematical knowledge, pedagogical knowledge, understandings, beliefs, and perceptions influence how they enact these expectations. These competencies can be developed and supported by professional learning. Third, educational programs, resources and activities used in the pre-school environment impact on the mathematical opportunities children engage in at the micro level.","lang":"eng"}]},{"type":"book_chapter","department":[{"_id":"611"},{"_id":"97"}],"date_created":"2023-01-12T15:27:17Z","abstract":[{"text":"Im vorangegangenen Kapitel wurde die Vorgeschichte beschrieben, wie es durch Initiative der Deutsche Telekom Stiftung zur Gründung des DZLM gekommen ist. In diesem zweiten Kapitel werden die Tätigkeitsfelder und Konzepte des DZLM in seiner ersten Förderphase vom 01.10.2011 bis 30.09.2016 beschrieben.","lang":"eng"}],"publication":"Mathematikfortbildungen professionalisieren: Konzepte, Beispiele und Erfahrungen des Deutschen Zentrums für Lehrerbildung Mathematik","doi":"10.1007/978-3-658-19028-6_2","language":[{"iso":"ger"}],"date_updated":"2023-06-20T19:17:25Z","publication_status":"published","year":"2018","title":"Das Deutsche Zentrum für Lehrerbildung Mathematik – DZLM","publication_identifier":{"isbn":["978-3-658-19028-6"]},"author":[{"first_name":"Bärbel","last_name":"Barzel","full_name":"Barzel, Bärbel"},{"full_name":"Biehler, Rolf","last_name":"Biehler","first_name":"Rolf"},{"full_name":"Blömeke, Sigrid","first_name":"Sigrid","last_name":"Blömeke"},{"first_name":"Regine","last_name":"Brandtner","full_name":"Brandtner, Regine"},{"full_name":"Bruns, Julia","first_name":"Julia","orcid":"https://orcid.org/0000-0002-6604-5864","last_name":"Bruns","id":"72183"},{"first_name":"Christian","last_name":"Dohrmann","full_name":"Dohrmann, Christian"},{"full_name":"Kortenkamp, Ulrich","last_name":"Kortenkamp","first_name":"Ulrich"},{"last_name":"Lange","first_name":"Thomas","full_name":"Lange, Thomas"},{"full_name":"Leuders, Timo","first_name":"Timo","last_name":"Leuders"},{"first_name":"Bettina","last_name":"Rösken-Winter","full_name":"Rösken-Winter, Bettina"},{"first_name":"Petra","last_name":"Scherer","full_name":"Scherer, Petra"},{"first_name":"Christoph","last_name":"Selter","full_name":"Selter, Christoph"}],"place":"Wiesbaden","citation":{"ama":"Barzel B, Biehler R, Blömeke S, et al. Das Deutsche Zentrum für Lehrerbildung Mathematik – DZLM. In: Biehler R, Lange T, Leuders T, Rösken-Winter B, Scherer P, Selter C, eds. <i>Mathematikfortbildungen professionalisieren: Konzepte, Beispiele und Erfahrungen des Deutschen Zentrums für Lehrerbildung Mathematik</i>. Springer Fachmedien Wiesbaden; 2018:7–39. doi:<a href=\"https://doi.org/10.1007/978-3-658-19028-6_2\">10.1007/978-3-658-19028-6_2</a>","bibtex":"@inbook{Barzel_Biehler_Blömeke_Brandtner_Bruns_Dohrmann_Kortenkamp_Lange_Leuders_Rösken-Winter_et al._2018, place={Wiesbaden}, title={Das Deutsche Zentrum für Lehrerbildung Mathematik – DZLM}, DOI={<a href=\"https://doi.org/10.1007/978-3-658-19028-6_2\">10.1007/978-3-658-19028-6_2</a>}, booktitle={Mathematikfortbildungen professionalisieren: Konzepte, Beispiele und Erfahrungen des Deutschen Zentrums für Lehrerbildung Mathematik}, publisher={Springer Fachmedien Wiesbaden}, author={Barzel, Bärbel and Biehler, Rolf and Blömeke, Sigrid and Brandtner, Regine and Bruns, Julia and Dohrmann, Christian and Kortenkamp, Ulrich and Lange, Thomas and Leuders, Timo and Rösken-Winter, Bettina and et al.}, editor={Biehler, Rolf and Lange, Thomas and Leuders, Timo and Rösken-Winter, Bettina and Scherer, Petra and Selter, Christoph}, year={2018}, pages={7–39} }","mla":"Barzel, Bärbel, et al. “Das Deutsche Zentrum für Lehrerbildung Mathematik – DZLM.” <i>Mathematikfortbildungen professionalisieren: Konzepte, Beispiele und Erfahrungen des Deutschen Zentrums für Lehrerbildung Mathematik</i>, edited by Rolf Biehler et al., Springer Fachmedien Wiesbaden, 2018, pp. 7–39, doi:<a href=\"https://doi.org/10.1007/978-3-658-19028-6_2\">10.1007/978-3-658-19028-6_2</a>.","short":"B. Barzel, R. Biehler, S. Blömeke, R. Brandtner, J. Bruns, C. Dohrmann, U. Kortenkamp, T. Lange, T. Leuders, B. Rösken-Winter, P. Scherer, C. Selter, in: R. Biehler, T. Lange, T. Leuders, B. Rösken-Winter, P. Scherer, C. Selter (Eds.), Mathematikfortbildungen professionalisieren: Konzepte, Beispiele und Erfahrungen des Deutschen Zentrums für Lehrerbildung Mathematik, Springer Fachmedien Wiesbaden, Wiesbaden, 2018, pp. 7–39.","chicago":"Barzel, Bärbel, Rolf Biehler, Sigrid Blömeke, Regine Brandtner, Julia Bruns, Christian Dohrmann, Ulrich Kortenkamp, et al. “Das Deutsche Zentrum für Lehrerbildung Mathematik – DZLM.” In <i>Mathematikfortbildungen professionalisieren: Konzepte, Beispiele und Erfahrungen des Deutschen Zentrums für Lehrerbildung Mathematik</i>, edited by Rolf Biehler, Thomas Lange, Timo Leuders, Bettina Rösken-Winter, Petra Scherer, and Christoph Selter, 7–39. Wiesbaden: Springer Fachmedien Wiesbaden, 2018. <a href=\"https://doi.org/10.1007/978-3-658-19028-6_2\">https://doi.org/10.1007/978-3-658-19028-6_2</a>.","apa":"Barzel, B., Biehler, R., Blömeke, S., Brandtner, R., Bruns, J., Dohrmann, C., Kortenkamp, U., Lange, T., Leuders, T., Rösken-Winter, B., Scherer, P., &#38; Selter, C. (2018). Das Deutsche Zentrum für Lehrerbildung Mathematik – DZLM. In R. Biehler, T. Lange, T. Leuders, B. Rösken-Winter, P. Scherer, &#38; C. Selter (Eds.), <i>Mathematikfortbildungen professionalisieren: Konzepte, Beispiele und Erfahrungen des Deutschen Zentrums für Lehrerbildung Mathematik</i> (pp. 7–39). Springer Fachmedien Wiesbaden. <a href=\"https://doi.org/10.1007/978-3-658-19028-6_2\">https://doi.org/10.1007/978-3-658-19028-6_2</a>","ieee":"B. Barzel <i>et al.</i>, “Das Deutsche Zentrum für Lehrerbildung Mathematik – DZLM,” in <i>Mathematikfortbildungen professionalisieren: Konzepte, Beispiele und Erfahrungen des Deutschen Zentrums für Lehrerbildung Mathematik</i>, R. Biehler, T. Lange, T. Leuders, B. Rösken-Winter, P. Scherer, and C. Selter, Eds. Wiesbaden: Springer Fachmedien Wiesbaden, 2018, pp. 7–39."},"user_id":"49063","editor":[{"full_name":"Biehler, Rolf","last_name":"Biehler","first_name":"Rolf"},{"first_name":"Thomas","last_name":"Lange","full_name":"Lange, Thomas"},{"full_name":"Leuders, Timo","last_name":"Leuders","first_name":"Timo"},{"full_name":"Rösken-Winter, Bettina","last_name":"Rösken-Winter","first_name":"Bettina"},{"full_name":"Scherer, Petra","first_name":"Petra","last_name":"Scherer"},{"first_name":"Christoph","last_name":"Selter","full_name":"Selter, Christoph"}],"page":"7–39","_id":"36480","publisher":"Springer Fachmedien Wiesbaden","status":"public"},{"citation":{"bibtex":"@inbook{Bruns_Eichen_2018, place={Berlin}, title={EmMa - Fortbildung für elementarpädagogische Fachpersonen zur frühen mathematischen Bildung}, DOI={<a href=\"https://doi.org/10.1007/978-3-658-19028-6_21\">10.1007/978-3-658-19028-6_21</a>}, booktitle={Mathematikfortbildungen professionalisieren. Konzepte, Beispiele und Erfahrungen des Deutschen Zentrums für Lehrerbildung Mathematik}, publisher={Springer}, author={Bruns, Julia and Eichen, Lars}, editor={Biehler, Rolf and Lange, Thomas and Leuders, Timo and Rösken-Winter, Bettina}, year={2018}, pages={417–434} }","ama":"Bruns J, Eichen L. EmMa - Fortbildung für elementarpädagogische Fachpersonen zur frühen mathematischen Bildung. In: Biehler R, Lange T, Leuders T, Rösken-Winter B, eds. <i>Mathematikfortbildungen professionalisieren. Konzepte, Beispiele und Erfahrungen des Deutschen Zentrums für Lehrerbildung Mathematik</i>. Springer; 2018:417-434. doi:<a href=\"https://doi.org/10.1007/978-3-658-19028-6_21\">10.1007/978-3-658-19028-6_21</a>","mla":"Bruns, Julia, and Lars Eichen. “EmMa - Fortbildung für elementarpädagogische Fachpersonen zur frühen mathematischen Bildung.” <i>Mathematikfortbildungen professionalisieren. Konzepte, Beispiele und Erfahrungen des Deutschen Zentrums für Lehrerbildung Mathematik</i>, edited by Rolf Biehler et al., Springer, 2018, pp. 417–34, doi:<a href=\"https://doi.org/10.1007/978-3-658-19028-6_21\">10.1007/978-3-658-19028-6_21</a>.","chicago":"Bruns, Julia, and Lars Eichen. “EmMa - Fortbildung für elementarpädagogische Fachpersonen zur frühen mathematischen Bildung.” In <i>Mathematikfortbildungen professionalisieren. Konzepte, Beispiele und Erfahrungen des Deutschen Zentrums für Lehrerbildung Mathematik</i>, edited by Rolf Biehler, Thomas Lange, Timo Leuders, and Bettina Rösken-Winter, 417–34. Berlin: Springer, 2018. <a href=\"https://doi.org/10.1007/978-3-658-19028-6_21\">https://doi.org/10.1007/978-3-658-19028-6_21</a>.","short":"J. Bruns, L. Eichen, in: R. Biehler, T. Lange, T. Leuders, B. Rösken-Winter (Eds.), Mathematikfortbildungen professionalisieren. Konzepte, Beispiele und Erfahrungen des Deutschen Zentrums für Lehrerbildung Mathematik, Springer, Berlin, 2018, pp. 417–434.","ieee":"J. Bruns and L. Eichen, “EmMa - Fortbildung für elementarpädagogische Fachpersonen zur frühen mathematischen Bildung,” in <i>Mathematikfortbildungen professionalisieren. Konzepte, Beispiele und Erfahrungen des Deutschen Zentrums für Lehrerbildung Mathematik</i>, R. Biehler, T. Lange, T. Leuders, and B. Rösken-Winter, Eds. Berlin: Springer, 2018, pp. 417–434.","apa":"Bruns, J., &#38; Eichen, L. (2018). EmMa - Fortbildung für elementarpädagogische Fachpersonen zur frühen mathematischen Bildung. In R. Biehler, T. Lange, T. Leuders, &#38; B. Rösken-Winter (Eds.), <i>Mathematikfortbildungen professionalisieren. Konzepte, Beispiele und Erfahrungen des Deutschen Zentrums für Lehrerbildung Mathematik</i> (pp. 417–434). Springer. <a href=\"https://doi.org/10.1007/978-3-658-19028-6_21\">https://doi.org/10.1007/978-3-658-19028-6_21</a>"},"publication":"Mathematikfortbildungen professionalisieren. Konzepte, Beispiele und Erfahrungen des Deutschen Zentrums für Lehrerbildung Mathematik","quality_controlled":"1","date_created":"2023-01-12T15:20:07Z","place":"Berlin","department":[{"_id":"611"},{"_id":"97"}],"type":"book_chapter","author":[{"id":"72183","orcid":"https://orcid.org/0000-0002-6604-5864","first_name":"Julia","last_name":"Bruns","full_name":"Bruns, Julia"},{"full_name":"Eichen, Lars","first_name":"Lars","last_name":"Eichen"}],"status":"public","year":"2018","title":"EmMa - Fortbildung für elementarpädagogische Fachpersonen zur frühen mathematischen Bildung","publication_status":"published","date_updated":"2023-06-20T19:15:55Z","_id":"36478","publisher":"Springer","language":[{"iso":"ger"}],"page":"417-434","editor":[{"last_name":"Biehler","first_name":"Rolf","full_name":"Biehler, Rolf"},{"last_name":"Lange","first_name":"Thomas","full_name":"Lange, Thomas"},{"full_name":"Leuders, Timo","last_name":"Leuders","first_name":"Timo"},{"first_name":"Bettina","last_name":"Rösken-Winter","full_name":"Rösken-Winter, Bettina"}],"user_id":"49063","doi":"10.1007/978-3-658-19028-6_21"},{"date_updated":"2023-06-20T19:17:03Z","publication_status":"published","status":"public","title":"Methoden empirischer Bildungsforschung im Kontext Frühkindliche Bildung und Entwicklung","year":"2018","corporate_editor":["Universität Osnabrück, Center for Early Childhood Development and Education Research (CEDER)"],"user_id":"49063","editor":[{"full_name":"Gasteiger, Hedwig","last_name":"Gasteiger","first_name":"Hedwig"},{"first_name":"Julia","orcid":"https://orcid.org/0000-0002-6604-5864","last_name":"Bruns","full_name":"Bruns, Julia","id":"72183"}],"main_file_link":[{"url":"https://repositorium.ub.uni-osnabrueck.de/handle/urn:nbn:de:gbv:700-2018052917199","open_access":"1"}],"language":[{"iso":"ger"}],"_id":"36475","citation":{"bibtex":"@book{Gasteiger_Bruns_Universität Osnabrück, Center for Early Childhood Development and Education Research (CEDER)_2018, title={Methoden empirischer Bildungsforschung im Kontext Frühkindliche Bildung und Entwicklung}, year={2018} }","ama":"Gasteiger H, Bruns J, Universität Osnabrück, Center for Early Childhood Development and Education Research (CEDER), eds. <i>Methoden empirischer Bildungsforschung im Kontext Frühkindliche Bildung und Entwicklung</i>.; 2018.","mla":"Gasteiger, Hedwig, et al., editors. <i>Methoden empirischer Bildungsforschung im Kontext Frühkindliche Bildung und Entwicklung</i>. 2018.","short":"H. Gasteiger, J. Bruns, Universität Osnabrück, Center for Early Childhood Development and Education Research (CEDER), eds., Methoden empirischer Bildungsforschung im Kontext Frühkindliche Bildung und Entwicklung, 2018.","chicago":"Gasteiger, Hedwig, Julia Bruns, and Universität Osnabrück, Center for Early Childhood Development and Education Research (CEDER), eds. <i>Methoden empirischer Bildungsforschung im Kontext Frühkindliche Bildung und Entwicklung</i>, 2018.","ieee":"H. Gasteiger, J. Bruns, and Universität Osnabrück, Center for Early Childhood Development and Education Research (CEDER), Eds., <i>Methoden empirischer Bildungsforschung im Kontext Frühkindliche Bildung und Entwicklung</i>. 2018.","apa":"Gasteiger, H., Bruns, J., &#38; Universität Osnabrück, Center for Early Childhood Development and Education Research (CEDER) (Eds.). (2018). <i>Methoden empirischer Bildungsforschung im Kontext Frühkindliche Bildung und Entwicklung</i>."},"type":"book_editor","oa":"1","department":[{"_id":"611"},{"_id":"97"}],"date_created":"2023-01-12T15:12:23Z"},{"date_created":"2022-01-19T13:35:37Z","type":"conference","department":[{"_id":"48"}],"publication":"2018 IEEE 24th International Symposium on On-Line Testing And Robust System Design (IOLTS)","citation":{"bibtex":"@inproceedings{Sadeghi-Kohan_Vafaei_Navabi_2018, title={Near-Optimal Node Selection Procedure for Aging Monitor Placement}, DOI={<a href=\"https://doi.org/10.1109/iolts.2018.8474120\">10.1109/iolts.2018.8474120</a>}, booktitle={2018 IEEE 24th International Symposium on On-Line Testing And Robust System Design (IOLTS)}, publisher={IEEE}, author={Sadeghi-Kohan, Somayeh and Vafaei, Arash and Navabi, Zainalabedin}, year={2018} }","ama":"Sadeghi-Kohan S, Vafaei A, Navabi Z. Near-Optimal Node Selection Procedure for Aging Monitor Placement. In: <i>2018 IEEE 24th International Symposium on On-Line Testing And Robust System Design (IOLTS)</i>. IEEE; 2018. doi:<a href=\"https://doi.org/10.1109/iolts.2018.8474120\">10.1109/iolts.2018.8474120</a>","mla":"Sadeghi-Kohan, Somayeh, et al. “Near-Optimal Node Selection Procedure for Aging Monitor Placement.” <i>2018 IEEE 24th International Symposium on On-Line Testing And Robust System Design (IOLTS)</i>, IEEE, 2018, doi:<a href=\"https://doi.org/10.1109/iolts.2018.8474120\">10.1109/iolts.2018.8474120</a>.","short":"S. Sadeghi-Kohan, A. Vafaei, Z. Navabi, in: 2018 IEEE 24th International Symposium on On-Line Testing And Robust System Design (IOLTS), IEEE, 2018.","chicago":"Sadeghi-Kohan, Somayeh, Arash Vafaei, and Zainalabedin Navabi. “Near-Optimal Node Selection Procedure for Aging Monitor Placement.” In <i>2018 IEEE 24th International Symposium on On-Line Testing And Robust System Design (IOLTS)</i>. IEEE, 2018. <a href=\"https://doi.org/10.1109/iolts.2018.8474120\">https://doi.org/10.1109/iolts.2018.8474120</a>.","ieee":"S. Sadeghi-Kohan, A. Vafaei, and Z. Navabi, “Near-Optimal Node Selection Procedure for Aging Monitor Placement,” 2018, doi: <a href=\"https://doi.org/10.1109/iolts.2018.8474120\">10.1109/iolts.2018.8474120</a>.","apa":"Sadeghi-Kohan, S., Vafaei, A., &#38; Navabi, Z. (2018). Near-Optimal Node Selection Procedure for Aging Monitor Placement. <i>2018 IEEE 24th International Symposium on On-Line Testing And Robust System Design (IOLTS)</i>. <a href=\"https://doi.org/10.1109/iolts.2018.8474120\">https://doi.org/10.1109/iolts.2018.8474120</a>"},"abstract":[{"lang":"eng","text":"Transistor and interconnect wearout is accelerated with transistor scaling resulting in timing variations and consequently reliability challenges in digital circuits. With the emergence of new issues like Electro-migration these problems are getting more crucial. Age monitoring methods can be used to predict and deal with the aging problem. Selecting appropriate locations for placement of aging monitors is an important issue. In this work we propose a procedure for selection of appropriate internal nodes that expose smaller overheads to the circuit, using correlation between nodes and the shareability amongst them. To select internal nodes, we first prune some nodes based on some attributes and thus provide a near-optimal solution that can effectively get a number of internal nodes and consider the effects of electro-migration as well. We have applied our proposed scheme to several processors and ITC benchmarks and have looked at its effectiveness for these circuits."}],"extern":"1","_id":"29459","publisher":"IEEE","language":[{"iso":"eng"}],"doi":"10.1109/iolts.2018.8474120","user_id":"78614","title":"Near-Optimal Node Selection Procedure for Aging Monitor Placement","year":"2018","status":"public","author":[{"id":"78614","full_name":"Sadeghi-Kohan, Somayeh","orcid":"https://orcid.org/0000-0001-7246-0610","last_name":"Sadeghi-Kohan","first_name":"Somayeh"},{"full_name":"Vafaei, Arash","first_name":"Arash","last_name":"Vafaei"},{"last_name":"Navabi","first_name":"Zainalabedin","full_name":"Navabi, Zainalabedin"}],"date_updated":"2023-08-02T11:36:15Z","publication_status":"published"},{"doi":"10.1109/JLT.2018.2881107","user_id":"13256","page":"1-1","_id":"24187","language":[{"iso":"eng"}],"date_updated":"2023-08-04T08:32:31Z","title":"Coherent ePIC Receiver for 64 GBaud QPSK in 0.25μm Photonic BiCMOS Technology","year":"2018","status":"public","author":[{"full_name":"Gudyriev, Sergiy","last_name":"Gudyriev","first_name":"Sergiy"},{"full_name":"Kress, Christian","first_name":"Christian","last_name":"Kress","id":"13256"},{"full_name":"Zwickel, Heiner","last_name":"Zwickel","first_name":"Heiner"},{"first_name":"Juned N.","last_name":"Kemal","full_name":"Kemal, Juned N."},{"full_name":"Lischke, Stefan","first_name":"Stefan","last_name":"Lischke"},{"full_name":"Zimmermann, Lars","first_name":"Lars","last_name":"Zimmermann"},{"full_name":"Koos, Christian","last_name":"Koos","first_name":"Christian"},{"first_name":"Christoph","orcid":"https://orcid.org/0000-0002-5950-6618","last_name":"Scheytt","full_name":"Scheytt, Christoph","id":"37144"}],"type":"conference","department":[{"_id":"58"},{"_id":"230"}],"date_created":"2021-09-13T07:37:52Z","related_material":{"link":[{"relation":"confirmation","url":"https://www.osapublishing.org/jlt/abstract.cfm?uri=jlt-37-1-103&origin=search"}]},"abstract":[{"lang":"eng","text":"In this paper, we present a monolithically integrated coherent receiver with on-chip grating couplers, 90° hybrid, photodiodes and transimpedance amplifiers. A transimpedance gain of 7.7 kΩ was achieved by the amplifiers. An opto-electrical 3 dB bandwidth of 34 GHz for in-phase and quadrature channel was measured. A real-time data transmission of 64 GBd-QPSK (128 Gb/s) for a single polarization was performed."}],"publication":"IEEE/OSA Journal of Lightwave Technology","citation":{"mla":"Gudyriev, Sergiy, et al. “Coherent EPIC Receiver for 64 GBaud QPSK in 0.25μm Photonic BiCMOS Technology.” <i>IEEE/OSA Journal of Lightwave Technology</i>, 2018, pp. 1–1, doi:<a href=\"https://doi.org/10.1109/JLT.2018.2881107\">10.1109/JLT.2018.2881107</a>.","apa":"Gudyriev, S., Kress, C., Zwickel, H., Kemal, J. N., Lischke, S., Zimmermann, L., Koos, C., &#38; Scheytt, C. (2018). Coherent ePIC Receiver for 64 GBaud QPSK in 0.25μm Photonic BiCMOS Technology. <i>IEEE/OSA Journal of Lightwave Technology</i>, 1–1. <a href=\"https://doi.org/10.1109/JLT.2018.2881107\">https://doi.org/10.1109/JLT.2018.2881107</a>","ieee":"S. Gudyriev <i>et al.</i>, “Coherent ePIC Receiver for 64 GBaud QPSK in 0.25μm Photonic BiCMOS Technology,” in <i>IEEE/OSA Journal of Lightwave Technology</i>, 2018, pp. 1–1, doi: <a href=\"https://doi.org/10.1109/JLT.2018.2881107\">10.1109/JLT.2018.2881107</a>.","chicago":"Gudyriev, Sergiy, Christian Kress, Heiner Zwickel, Juned N. Kemal, Stefan Lischke, Lars Zimmermann, Christian Koos, and Christoph Scheytt. “Coherent EPIC Receiver for 64 GBaud QPSK in 0.25μm Photonic BiCMOS Technology.” In <i>IEEE/OSA Journal of Lightwave Technology</i>, 1–1, 2018. <a href=\"https://doi.org/10.1109/JLT.2018.2881107\">https://doi.org/10.1109/JLT.2018.2881107</a>.","ama":"Gudyriev S, Kress C, Zwickel H, et al. Coherent ePIC Receiver for 64 GBaud QPSK in 0.25μm Photonic BiCMOS Technology. In: <i>IEEE/OSA Journal of Lightwave Technology</i>. ; 2018:1-1. doi:<a href=\"https://doi.org/10.1109/JLT.2018.2881107\">10.1109/JLT.2018.2881107</a>","short":"S. Gudyriev, C. Kress, H. Zwickel, J.N. Kemal, S. Lischke, L. Zimmermann, C. Koos, C. Scheytt, in: IEEE/OSA Journal of Lightwave Technology, 2018, pp. 1–1.","bibtex":"@inproceedings{Gudyriev_Kress_Zwickel_Kemal_Lischke_Zimmermann_Koos_Scheytt_2018, title={Coherent ePIC Receiver for 64 GBaud QPSK in 0.25μm Photonic BiCMOS Technology}, DOI={<a href=\"https://doi.org/10.1109/JLT.2018.2881107\">10.1109/JLT.2018.2881107</a>}, booktitle={IEEE/OSA Journal of Lightwave Technology}, author={Gudyriev, Sergiy and Kress, Christian and Zwickel, Heiner and Kemal, Juned N. and Lischke, Stefan and Zimmermann, Lars and Koos, Christian and Scheytt, Christoph}, year={2018}, pages={1–1} }"}},{"publication_status":"submitted","date_updated":"2023-08-10T08:48:55Z","year":"2018","title":"Local intersections of Lagrangian manifolds correspond to catastrophe  theory","author":[{"orcid":"https://orcid.org/0000-0002-5940-8057","first_name":"Christian","last_name":"Offen","full_name":"Offen, Christian","id":"85279"}],"language":[{"iso":"eng"}],"abstract":[{"lang":"eng","text":"Two smooth map germs are right-equivalent if and only if they generate two\r\nLagrangian submanifolds in a cotangent bundle which have the same contact with\r\nthe zero-section. In this paper we provide a reverse direction to this\r\nclassical result of Golubitsky and Guillemin. Two Lagrangian submanifolds of a\r\nsymplectic manifold have the same contact with a third Lagrangian submanifold\r\nif and only if the intersection problems correspond to stably right equivalent\r\nmap germs. We, therefore, obtain a correspondence between local Lagrangian\r\nintersection problems and catastrophe theory while the classical version only\r\ncaptures tangential intersections. The correspondence is defined independently\r\nof any Lagrangian fibration of the ambient symplectic manifold, in contrast to\r\nother classical results. Moreover, we provide an extension of the\r\ncorrespondence to families of local Lagrangian intersection problems. This\r\ngives rise to a framework which allows a natural transportation of the notions\r\nof catastrophe theory such as stability, unfolding and (uni-)versality to the\r\ngeometric setting such that we obtain a classification of families of local\r\nLagrangian intersection problems. An application is the classification of\r\nLagrangian boundary value problems for symplectic maps."}],"publication":"arXiv:1811.10165","type":"preprint","department":[{"_id":"636"}],"file":[{"title":"Local intersections of Lagrangian manifolds correspond to catastrophe theory","file_id":"29078","content_type":"application/pdf","relation":"main_file","date_updated":"2021-12-21T16:01:03Z","file_name":"LocalLagrangianContact.pdf","file_size":662483,"access_level":"open_access","description":"Two smooth map germs are right-equivalent if and only if they\ngenerate two Lagrangian submanifolds in a cotangent bundle which have the\nsame contact with the zero-section. In this paper we provide a reverse direction\nto this classical result of Golubitsky and Guillemin. Two Lagrangian submanifolds of a symplectic manifold have the same contact with a third Lagrangian\nsubmanifold if and only if the intersection problems correspond to stably right\nequivalent map germs. We, therefore, obtain a correspondence between local\nLagrangian intersection problems and catastrophe theory while the classical\nversion only captures tangential intersections. The correspondence is defined\nindependently of any Lagrangian fibration of the ambient symplectic manifold, in contrast to other classical results. Moreover, we provide an extension\nof the correspondence to families of local Lagrangian intersection problems.\nThis gives rise to a framework which allows a natural transportation of the\nnotions of catastrophe theory such as stability, unfolding and (uni-)versality\nto the geometric setting such that we obtain a classification of families of lo-\ncal Lagrangian intersection problems. An application is the classification of\nLagrangian boundary value problems for symplectic maps.","date_created":"2021-12-21T16:01:03Z","creator":"coffen"}],"date_created":"2020-10-06T16:32:45Z","has_accepted_license":"1","status":"public","user_id":"85279","ddc":["510"],"_id":"19940","file_date_updated":"2021-12-21T16:01:03Z","citation":{"chicago":"Offen, Christian. “Local Intersections of Lagrangian Manifolds Correspond to Catastrophe  Theory.” <i>ArXiv:1811.10165</i>, n.d.","ama":"Offen C. Local intersections of Lagrangian manifolds correspond to catastrophe  theory. <i>arXiv:181110165</i>.","short":"C. Offen, ArXiv:1811.10165 (n.d.).","bibtex":"@article{Offen, title={Local intersections of Lagrangian manifolds correspond to catastrophe  theory}, journal={arXiv:1811.10165}, author={Offen, Christian} }","apa":"Offen, C. (n.d.). Local intersections of Lagrangian manifolds correspond to catastrophe  theory. In <i>arXiv:1811.10165</i>.","mla":"Offen, Christian. “Local Intersections of Lagrangian Manifolds Correspond to Catastrophe  Theory.” <i>ArXiv:1811.10165</i>.","ieee":"C. Offen, “Local intersections of Lagrangian manifolds correspond to catastrophe  theory,” <i>arXiv:1811.10165</i>. ."},"oa":"1","external_id":{"arxiv":["1811.10165"]}},{"type":"journal_article","keyword":["Hamiltonian boundary value problems","singularities","conformal symplectic geometry","catastrophe theory","conjugate loci"],"department":[{"_id":"636"}],"file":[{"creator":"coffen","date_created":"2020-10-06T16:49:29Z","file_name":"Hamiltonian_Boundary_Value_Problems,_Conformal_Symplectic_Symmetries,_and_Conjugate_Loci.pdf","file_size":3126111,"access_level":"open_access","relation":"main_file","date_updated":"2020-10-07T14:04:01Z","file_id":"19946","content_type":"application/pdf","title":"Hamiltonian Boundary Value Problems, Conformal Symplectic Symmetries, and Conjugate Loci"}],"date_created":"2020-10-06T16:39:08Z","abstract":[{"lang":"eng","text":"In this paper we continue our study of bifurcations of solutions of boundary-value problems for symplectic maps arising as Hamiltonian diffeomorphisms. These have been shown to be connected to catastrophe theory via generating functions and ordinary and reversal phase space symmetries have been considered. Here we present a convenient, coordinate free framework to analyse separated Lagrangian boundary value problems which include classical Dirichlet, Neumann and Robin boundary value problems. The framework is then used to prove the existence of obstructions arising from conformal symplectic symmetries on the bifurcation behaviour of solutions to Hamiltonian boundary value problems. Under non-degeneracy conditions, a group action by conformal symplectic symmetries has the effect that the flow map cannot degenerate in a direction which is tangential to the action. This imposes restrictions on which singularities can occur in boundary value problems. Our results generalise classical results about conjugate loci on Riemannian manifolds to a large class of Hamiltonian boundary value problems with, for example, scaling symmetries. "}],"extern":"1","publication":"New Zealand Journal of Mathematics","doi":"10.53733/34 ","main_file_link":[{"open_access":"1","url":"https://nzjmath.org/index.php/NZJMATH/article/view/34"}],"language":[{"iso":"eng"}],"date_updated":"2023-09-21T07:29:24Z","publication_status":"published","intvolume":"        48","article_type":"original","title":"Hamiltonian boundary value problems, conformal symplectic symmetries, and conjugate loci","year":"2018","author":[{"first_name":"Robert I","last_name":"McLachlan","full_name":"McLachlan, Robert I"},{"full_name":"Offen, Christian","first_name":"Christian","orcid":"https://orcid.org/0000-0002-5940-8057","last_name":"Offen","id":"85279"}],"oa":"1","external_id":{"arxiv":["1804.07479"]},"quality_controlled":"1","file_date_updated":"2020-10-07T14:04:01Z","citation":{"apa":"McLachlan, R. I., &#38; Offen, C. (2018). Hamiltonian boundary value problems, conformal symplectic symmetries, and conjugate loci. <i>New Zealand Journal of Mathematics</i>, <i>48</i>, 83–99. <a href=\"https://doi.org/10.53733/34 \">https://doi.org/10.53733/34 </a>","mla":"McLachlan, Robert I., and Christian Offen. “Hamiltonian Boundary Value Problems, Conformal Symplectic Symmetries, and Conjugate Loci.” <i>New Zealand Journal of Mathematics</i>, vol. 48, 2018, pp. 83–99, doi:<a href=\"https://doi.org/10.53733/34 \">10.53733/34 </a>.","ieee":"R. I. McLachlan and C. Offen, “Hamiltonian boundary value problems, conformal symplectic symmetries, and conjugate loci,” <i>New Zealand Journal of Mathematics</i>, vol. 48, pp. 83–99, 2018, doi: <a href=\"https://doi.org/10.53733/34 \">10.53733/34 </a>.","chicago":"McLachlan, Robert I, and Christian Offen. “Hamiltonian Boundary Value Problems, Conformal Symplectic Symmetries, and Conjugate Loci.” <i>New Zealand Journal of Mathematics</i> 48 (2018): 83–99. <a href=\"https://doi.org/10.53733/34 \">https://doi.org/10.53733/34 </a>.","ama":"McLachlan RI, Offen C. Hamiltonian boundary value problems, conformal symplectic symmetries, and conjugate loci. <i>New Zealand Journal of Mathematics</i>. 2018;48:83-99. doi:<a href=\"https://doi.org/10.53733/34 \">10.53733/34 </a>","short":"R.I. McLachlan, C. Offen, New Zealand Journal of Mathematics 48 (2018) 83–99.","bibtex":"@article{McLachlan_Offen_2018, title={Hamiltonian boundary value problems, conformal symplectic symmetries, and conjugate loci}, volume={48}, DOI={<a href=\"https://doi.org/10.53733/34 \">10.53733/34 </a>}, journal={New Zealand Journal of Mathematics}, author={McLachlan, Robert I and Offen, Christian}, year={2018}, pages={83–99} }"},"ddc":["510"],"user_id":"85279","volume":48,"page":"83-99","_id":"19943","has_accepted_license":"1","status":"public"},{"has_accepted_license":"1","conference":{"name":"Proc. Int. Symp. on Field-Programmable Custom Computing Machines (FCCM)"},"status":"public","user_id":"15278","ddc":["000"],"publisher":"IEEE","_id":"1588","project":[{"grant_number":"01|H16005A","_id":"33","name":"HighPerMeshes"},{"name":"SFB 901","_id":"1","grant_number":"160364472"},{"name":"SFB 901 - Project Area C","_id":"4"},{"grant_number":"160364472","_id":"14","name":"SFB 901 - Subproject C2"}],"quality_controlled":"1","citation":{"mla":"Kenter, Tobias, et al. “OpenCL-Based FPGA Design to Accelerate the Nodal Discontinuous Galerkin Method for Unstructured Meshes.” <i>Proc. Int. Symp. on Field-Programmable Custom Computing Machines (FCCM)</i>, IEEE, 2018, doi:<a href=\"https://doi.org/10.1109/FCCM.2018.00037\">10.1109/FCCM.2018.00037</a>.","bibtex":"@inproceedings{Kenter_Mahale_Alhaddad_Grynko_Schmitt_Afzal_Hannig_Förstner_Plessl_2018, title={OpenCL-based FPGA Design to Accelerate the Nodal Discontinuous Galerkin Method for Unstructured Meshes}, DOI={<a href=\"https://doi.org/10.1109/FCCM.2018.00037\">10.1109/FCCM.2018.00037</a>}, booktitle={Proc. Int. Symp. on Field-Programmable Custom Computing Machines (FCCM)}, publisher={IEEE}, author={Kenter, Tobias and Mahale, Gopinath and Alhaddad, Samer and Grynko, Yevgen and Schmitt, Christian and Afzal, Ayesha and Hannig, Frank and Förstner, Jens and Plessl, Christian}, year={2018} }","ama":"Kenter T, Mahale G, Alhaddad S, et al. OpenCL-based FPGA Design to Accelerate the Nodal Discontinuous Galerkin Method for Unstructured Meshes. In: <i>Proc. Int. Symp. on Field-Programmable Custom Computing Machines (FCCM)</i>. IEEE; 2018. doi:<a href=\"https://doi.org/10.1109/FCCM.2018.00037\">10.1109/FCCM.2018.00037</a>","ieee":"T. Kenter <i>et al.</i>, “OpenCL-based FPGA Design to Accelerate the Nodal Discontinuous Galerkin Method for Unstructured Meshes,” presented at the Proc. Int. Symp. on Field-Programmable Custom Computing Machines (FCCM), 2018, doi: <a href=\"https://doi.org/10.1109/FCCM.2018.00037\">10.1109/FCCM.2018.00037</a>.","apa":"Kenter, T., Mahale, G., Alhaddad, S., Grynko, Y., Schmitt, C., Afzal, A., Hannig, F., Förstner, J., &#38; Plessl, C. (2018). OpenCL-based FPGA Design to Accelerate the Nodal Discontinuous Galerkin Method for Unstructured Meshes. <i>Proc. Int. Symp. on Field-Programmable Custom Computing Machines (FCCM)</i>. Proc. Int. Symp. on Field-Programmable Custom Computing Machines (FCCM). <a href=\"https://doi.org/10.1109/FCCM.2018.00037\">https://doi.org/10.1109/FCCM.2018.00037</a>","chicago":"Kenter, Tobias, Gopinath Mahale, Samer Alhaddad, Yevgen Grynko, Christian Schmitt, Ayesha Afzal, Frank Hannig, Jens Förstner, and Christian Plessl. “OpenCL-Based FPGA Design to Accelerate the Nodal Discontinuous Galerkin Method for Unstructured Meshes.” In <i>Proc. Int. Symp. on Field-Programmable Custom Computing Machines (FCCM)</i>. IEEE, 2018. <a href=\"https://doi.org/10.1109/FCCM.2018.00037\">https://doi.org/10.1109/FCCM.2018.00037</a>.","short":"T. Kenter, G. Mahale, S. Alhaddad, Y. Grynko, C. Schmitt, A. Afzal, F. Hannig, J. Förstner, C. Plessl, in: Proc. Int. Symp. on Field-Programmable Custom Computing Machines (FCCM), IEEE, 2018."},"file_date_updated":"2018-11-02T14:45:05Z","date_updated":"2023-09-26T11:47:52Z","author":[{"id":"3145","first_name":"Tobias","last_name":"Kenter","full_name":"Kenter, Tobias"},{"full_name":"Mahale, Gopinath","last_name":"Mahale","first_name":"Gopinath"},{"id":"42456","full_name":"Alhaddad, Samer","last_name":"Alhaddad","first_name":"Samer"},{"id":"26059","last_name":"Grynko","first_name":"Yevgen","full_name":"Grynko, Yevgen"},{"full_name":"Schmitt, Christian","last_name":"Schmitt","first_name":"Christian"},{"first_name":"Ayesha","last_name":"Afzal","full_name":"Afzal, Ayesha"},{"last_name":"Hannig","first_name":"Frank","full_name":"Hannig, Frank"},{"last_name":"Förstner","orcid":"0000-0001-7059-9862","first_name":"Jens","full_name":"Förstner, Jens","id":"158"},{"full_name":"Plessl, Christian","last_name":"Plessl","orcid":"0000-0001-5728-9982","first_name":"Christian","id":"16153"}],"title":"OpenCL-based FPGA Design to Accelerate the Nodal Discontinuous Galerkin Method for Unstructured Meshes","year":"2018","doi":"10.1109/FCCM.2018.00037","language":[{"iso":"eng"}],"abstract":[{"lang":"eng","text":"The exploration of FPGAs as accelerators for scientific simulations has so far mostly been focused on small kernels of methods working on regular data structures, for example in the form of stencil computations for finite difference methods. In computational sciences, often more advanced methods are employed that promise better stability, convergence, locality and scaling. Unstructured meshes are shown to be more effective and more accurate, compared to regular grids, in representing computation domains of various shapes. Using unstructured meshes, the discontinuous Galerkin method preserves the ability to perform explicit local update operations for simulations in the time domain. In this work, we investigate FPGAs as target platform for an implementation of the nodal discontinuous Galerkin method to find time-domain solutions of Maxwell's equations in an unstructured mesh. When maximizing data reuse and fitting constant coefficients into suitably partitioned on-chip memory, high computational intensity allows us to implement and feed wide data paths with hundreds of floating point operators. By decoupling off-chip memory accesses from the computations, high memory bandwidth can be sustained, even for the irregular access pattern required by parts of the application. Using the Intel/Altera OpenCL SDK for FPGAs, we present different implementation variants for different polynomial orders of the method. In different phases of the algorithm, either computational or bandwidth limits of the Arria 10 platform are almost reached, thus outperforming a highly multithreaded CPU implementation by around 2x."}],"publication":"Proc. Int. Symp. on Field-Programmable Custom Computing Machines (FCCM)","department":[{"_id":"27"},{"_id":"518"},{"_id":"61"}],"keyword":["tet_topic_hpc"],"type":"conference","date_created":"2018-03-22T10:48:01Z","file":[{"date_created":"2018-11-02T14:45:05Z","creator":"ups","content_type":"application/pdf","success":1,"file_id":"5282","date_updated":"2018-11-02T14:45:05Z","relation":"main_file","access_level":"closed","file_size":269130,"file_name":"08457652.pdf"}]},{"author":[{"id":"24135","orcid":"0000-0002-5708-7632","first_name":"Michael","last_name":"Lass","full_name":"Lass, Michael"},{"last_name":"Mohr","first_name":"Stephan","full_name":"Mohr, Stephan"},{"last_name":"Wiebeler","first_name":"Hendrik","full_name":"Wiebeler, Hendrik"},{"full_name":"Kühne, Thomas","first_name":"Thomas","last_name":"Kühne","id":"49079"},{"full_name":"Plessl, Christian","last_name":"Plessl","first_name":"Christian","orcid":"0000-0001-5728-9982","id":"16153"}],"publication_identifier":{"isbn":["978-1-4503-5891-0/18/07"]},"title":"A Massively Parallel Algorithm for the Approximate Calculation of Inverse p-th Roots of Large Sparse Matrices","year":"2018","date_updated":"2023-09-26T11:48:12Z","language":[{"iso":"eng"}],"doi":"10.1145/3218176.3218231","publication":"Proc. Platform for Advanced Scientific Computing (PASC) Conference","abstract":[{"text":"We present the submatrix method, a highly parallelizable method for the approximate calculation of inverse p-th roots of large sparse symmetric matrices which are required in different scientific applications. Following the idea of Approximate Computing, we allow imprecision in the final result in order to utilize the sparsity of the input matrix and to allow massively parallel execution. For an n x n matrix, the proposed algorithm allows to distribute the calculations over n nodes with only little communication overhead. The result matrix exhibits the same sparsity pattern as the input matrix, allowing for efficient reuse of allocated data structures.\r\n\r\nWe evaluate the algorithm with respect to the error that it introduces into calculated results, as well as its performance and scalability. We demonstrate that the error is relatively limited for well-conditioned matrices and that results are still valuable for error-resilient applications like preconditioning even for ill-conditioned matrices. We discuss the execution time and scaling of the algorithm on a theoretical level and present a distributed implementation of the algorithm using MPI and OpenMP. We demonstrate the scalability of this implementation by running it on a high-performance compute cluster comprised of 1024 CPU cores, showing a speedup of 665x compared to single-threaded execution.","lang":"eng"}],"date_created":"2018-03-22T10:53:01Z","department":[{"_id":"27"},{"_id":"518"},{"_id":"304"}],"type":"conference","keyword":["approximate computing","linear algebra","matrix inversion","matrix p-th roots","numeric algorithm","parallel computing"],"conference":{"end_date":"2018-07-04","location":"Basel, Switzerland","start_date":"2018-07-02","name":"Platform for Advanced Scientific Computing Conference (PASC)"},"status":"public","publisher":"ACM","_id":"1590","user_id":"15278","citation":{"ama":"Lass M, Mohr S, Wiebeler H, Kühne T, Plessl C. A Massively Parallel Algorithm for the Approximate Calculation of Inverse p-th Roots of Large Sparse Matrices. In: <i>Proc. Platform for Advanced Scientific Computing (PASC) Conference</i>. ACM; 2018. doi:<a href=\"https://doi.org/10.1145/3218176.3218231\">10.1145/3218176.3218231</a>","bibtex":"@inproceedings{Lass_Mohr_Wiebeler_Kühne_Plessl_2018, place={New York, NY, USA}, title={A Massively Parallel Algorithm for the Approximate Calculation of Inverse p-th Roots of Large Sparse Matrices}, DOI={<a href=\"https://doi.org/10.1145/3218176.3218231\">10.1145/3218176.3218231</a>}, booktitle={Proc. Platform for Advanced Scientific Computing (PASC) Conference}, publisher={ACM}, author={Lass, Michael and Mohr, Stephan and Wiebeler, Hendrik and Kühne, Thomas and Plessl, Christian}, year={2018} }","mla":"Lass, Michael, et al. “A Massively Parallel Algorithm for the Approximate Calculation of Inverse P-Th Roots of Large Sparse Matrices.” <i>Proc. Platform for Advanced Scientific Computing (PASC) Conference</i>, ACM, 2018, doi:<a href=\"https://doi.org/10.1145/3218176.3218231\">10.1145/3218176.3218231</a>.","short":"M. Lass, S. Mohr, H. Wiebeler, T. Kühne, C. Plessl, in: Proc. Platform for Advanced Scientific Computing (PASC) Conference, ACM, New York, NY, USA, 2018.","chicago":"Lass, Michael, Stephan Mohr, Hendrik Wiebeler, Thomas Kühne, and Christian Plessl. “A Massively Parallel Algorithm for the Approximate Calculation of Inverse P-Th Roots of Large Sparse Matrices.” In <i>Proc. Platform for Advanced Scientific Computing (PASC) Conference</i>. New York, NY, USA: ACM, 2018. <a href=\"https://doi.org/10.1145/3218176.3218231\">https://doi.org/10.1145/3218176.3218231</a>.","apa":"Lass, M., Mohr, S., Wiebeler, H., Kühne, T., &#38; Plessl, C. (2018). A Massively Parallel Algorithm for the Approximate Calculation of Inverse p-th Roots of Large Sparse Matrices. <i>Proc. Platform for Advanced Scientific Computing (PASC) Conference</i>. Platform for Advanced Scientific Computing Conference (PASC), Basel, Switzerland. <a href=\"https://doi.org/10.1145/3218176.3218231\">https://doi.org/10.1145/3218176.3218231</a>","ieee":"M. Lass, S. Mohr, H. Wiebeler, T. Kühne, and C. Plessl, “A Massively Parallel Algorithm for the Approximate Calculation of Inverse p-th Roots of Large Sparse Matrices,” presented at the Platform for Advanced Scientific Computing Conference (PASC), Basel, Switzerland, 2018, doi: <a href=\"https://doi.org/10.1145/3218176.3218231\">10.1145/3218176.3218231</a>."},"project":[{"name":"Performance and Efficiency in HPC with Custom Computing","_id":"32","grant_number":"PL 595/2-1 / 320898746"},{"name":"Computing Resources Provided by the Paderborn Center for Parallel Computing","_id":"52"}],"quality_controlled":"1","place":"New York, NY, USA","external_id":{"arxiv":["1710.10899"]}},{"_id":"1204","publisher":"ACM","user_id":"15278","ddc":["000"],"status":"public","has_accepted_license":"1","file_date_updated":"2018-11-02T14:43:37Z","citation":{"ama":"Riebler H, Vaz GF, Kenter T, Plessl C. Automated Code Acceleration Targeting Heterogeneous OpenCL Devices. In: <i>Proc. ACM SIGPLAN Symposium on Principles and Practice of Parallel Programming (PPoPP)</i>. ACM; 2018. doi:<a href=\"https://doi.org/10.1145/3178487.3178534\">10.1145/3178487.3178534</a>","bibtex":"@inproceedings{Riebler_Vaz_Kenter_Plessl_2018, title={Automated Code Acceleration Targeting Heterogeneous OpenCL Devices}, DOI={<a href=\"https://doi.org/10.1145/3178487.3178534\">10.1145/3178487.3178534</a>}, booktitle={Proc. ACM SIGPLAN Symposium on Principles and Practice of Parallel Programming (PPoPP)}, publisher={ACM}, author={Riebler, Heinrich and Vaz, Gavin Francis and Kenter, Tobias and Plessl, Christian}, year={2018} }","mla":"Riebler, Heinrich, et al. “Automated Code Acceleration Targeting Heterogeneous OpenCL Devices.” <i>Proc. ACM SIGPLAN Symposium on Principles and Practice of Parallel Programming (PPoPP)</i>, ACM, 2018, doi:<a href=\"https://doi.org/10.1145/3178487.3178534\">10.1145/3178487.3178534</a>.","short":"H. Riebler, G.F. Vaz, T. Kenter, C. Plessl, in: Proc. 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