[{"keyword":["Applied Mathematics","Computational Mathematics","General Mathematics"],"language":[{"iso":"eng"}],"_id":"45950","department":[{"_id":"841"}],"user_id":"100441","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title><jats:p>The maximum principle forms an important qualitative property of second-order elliptic equations; therefore, its discrete analogues, the so-called discrete maximum principles (DMPs), have drawn much attention owing to their role in reinforcing the qualitative reliability of the given numerical scheme. In this paper DMPs are established for nonlinear finite element problems on surfaces with boundary, corresponding to the classical pointwise maximum principles on Riemannian manifolds in the spirit of Pucci &amp; Serrin (2007, The Maximum Principle. Springer). Various real-life examples illustrate the scope of the results.</jats:p>"}],"status":"public","publication":"IMA Journal of Numerical Analysis","type":"journal_article","title":"Discrete maximum principles for nonlinear elliptic finite element problems on surfaces with boundary","doi":"10.1093/imanum/dry086","publisher":"Oxford University Press (OUP)","date_updated":"2024-04-03T09:21:21Z","volume":40,"author":[{"first_name":"János","last_name":"Karátson","full_name":"Karátson, János"},{"id":"100441","full_name":"Kovács, Balázs","last_name":"Kovács","orcid":"0000-0001-9872-3474","first_name":"Balázs"},{"last_name":"Korotov","full_name":"Korotov, Sergey","first_name":"Sergey"}],"date_created":"2023-07-10T11:41:27Z","year":"2018","intvolume":"        40","page":"1241-1265","citation":{"short":"J. Karátson, B. Kovács, S. Korotov, IMA Journal of Numerical Analysis 40 (2018) 1241–1265.","mla":"Karátson, János, et al. “Discrete Maximum Principles for Nonlinear Elliptic Finite Element Problems on Surfaces with Boundary.” <i>IMA Journal of Numerical Analysis</i>, vol. 40, no. 2, Oxford University Press (OUP), 2018, pp. 1241–65, doi:<a href=\"https://doi.org/10.1093/imanum/dry086\">10.1093/imanum/dry086</a>.","bibtex":"@article{Karátson_Kovács_Korotov_2018, title={Discrete maximum principles for nonlinear elliptic finite element problems on surfaces with boundary}, volume={40}, DOI={<a href=\"https://doi.org/10.1093/imanum/dry086\">10.1093/imanum/dry086</a>}, number={2}, journal={IMA Journal of Numerical Analysis}, publisher={Oxford University Press (OUP)}, author={Karátson, János and Kovács, Balázs and Korotov, Sergey}, year={2018}, pages={1241–1265} }","apa":"Karátson, J., Kovács, B., &#38; Korotov, S. (2018). Discrete maximum principles for nonlinear elliptic finite element problems on surfaces with boundary. <i>IMA Journal of Numerical Analysis</i>, <i>40</i>(2), 1241–1265. <a href=\"https://doi.org/10.1093/imanum/dry086\">https://doi.org/10.1093/imanum/dry086</a>","ama":"Karátson J, Kovács B, Korotov S. Discrete maximum principles for nonlinear elliptic finite element problems on surfaces with boundary. <i>IMA Journal of Numerical Analysis</i>. 2018;40(2):1241-1265. doi:<a href=\"https://doi.org/10.1093/imanum/dry086\">10.1093/imanum/dry086</a>","ieee":"J. Karátson, B. Kovács, and S. Korotov, “Discrete maximum principles for nonlinear elliptic finite element problems on surfaces with boundary,” <i>IMA Journal of Numerical Analysis</i>, vol. 40, no. 2, pp. 1241–1265, 2018, doi: <a href=\"https://doi.org/10.1093/imanum/dry086\">10.1093/imanum/dry086</a>.","chicago":"Karátson, János, Balázs Kovács, and Sergey Korotov. “Discrete Maximum Principles for Nonlinear Elliptic Finite Element Problems on Surfaces with Boundary.” <i>IMA Journal of Numerical Analysis</i> 40, no. 2 (2018): 1241–65. <a href=\"https://doi.org/10.1093/imanum/dry086\">https://doi.org/10.1093/imanum/dry086</a>."},"publication_identifier":{"issn":["0272-4979","1464-3642"]},"publication_status":"published","issue":"2"},{"author":[{"first_name":"János","full_name":"Karátson, János","last_name":"Karátson"},{"first_name":"Balázs","full_name":"Kovács, Balázs","last_name":"Kovács"},{"full_name":"Korotov, Sergey","last_name":"Korotov","first_name":"Sergey"}],"volume":40,"date_updated":"2024-04-03T09:21:29Z","doi":"10.1093/imanum/dry086","publication_status":"published","publication_identifier":{"issn":["0272-4979","1464-3642"]},"citation":{"apa":"Karátson, J., Kovács, B., &#38; Korotov, S. (2018). Discrete maximum principles for nonlinear elliptic finite element problems on surfaces with boundary. <i>IMA Journal of Numerical Analysis</i>, <i>40</i>(2), 1241–1265. <a href=\"https://doi.org/10.1093/imanum/dry086\">https://doi.org/10.1093/imanum/dry086</a>","short":"J. Karátson, B. Kovács, S. Korotov, IMA Journal of Numerical Analysis 40 (2018) 1241–1265.","bibtex":"@article{Karátson_Kovács_Korotov_2018, title={Discrete maximum principles for nonlinear elliptic finite element problems on surfaces with boundary}, volume={40}, DOI={<a href=\"https://doi.org/10.1093/imanum/dry086\">10.1093/imanum/dry086</a>}, number={2}, journal={IMA Journal of Numerical Analysis}, publisher={Oxford University Press (OUP)}, author={Karátson, János and Kovács, Balázs and Korotov, Sergey}, year={2018}, pages={1241–1265} }","mla":"Karátson, János, et al. “Discrete Maximum Principles for Nonlinear Elliptic Finite Element Problems on Surfaces with Boundary.” <i>IMA Journal of Numerical Analysis</i>, vol. 40, no. 2, Oxford University Press (OUP), 2018, pp. 1241–65, doi:<a href=\"https://doi.org/10.1093/imanum/dry086\">10.1093/imanum/dry086</a>.","ama":"Karátson J, Kovács B, Korotov S. Discrete maximum principles for nonlinear elliptic finite element problems on surfaces with boundary. <i>IMA Journal of Numerical Analysis</i>. 2018;40(2):1241-1265. doi:<a href=\"https://doi.org/10.1093/imanum/dry086\">10.1093/imanum/dry086</a>","ieee":"J. Karátson, B. Kovács, and S. Korotov, “Discrete maximum principles for nonlinear elliptic finite element problems on surfaces with boundary,” <i>IMA Journal of Numerical Analysis</i>, vol. 40, no. 2, pp. 1241–1265, 2018, doi: <a href=\"https://doi.org/10.1093/imanum/dry086\">10.1093/imanum/dry086</a>.","chicago":"Karátson, János, Balázs Kovács, and Sergey Korotov. “Discrete Maximum Principles for Nonlinear Elliptic Finite Element Problems on Surfaces with Boundary.” <i>IMA Journal of Numerical Analysis</i> 40, no. 2 (2018): 1241–65. <a href=\"https://doi.org/10.1093/imanum/dry086\">https://doi.org/10.1093/imanum/dry086</a>."},"page":"1241-1265","intvolume":"        40","user_id":"100441","department":[{"_id":"841"}],"_id":"45949","type":"journal_article","status":"public","date_created":"2023-07-10T11:41:19Z","publisher":"Oxford University Press (OUP)","title":"Discrete maximum principles for nonlinear elliptic finite element problems on surfaces with boundary","issue":"2","year":"2018","language":[{"iso":"eng"}],"keyword":["Applied Mathematics","Computational Mathematics","General Mathematics"],"publication":"IMA Journal of Numerical Analysis","abstract":[{"text":"<jats:title>Abstract</jats:title><jats:p>The maximum principle forms an important qualitative property of second-order elliptic equations; therefore, its discrete analogues, the so-called discrete maximum principles (DMPs), have drawn much attention owing to their role in reinforcing the qualitative reliability of the given numerical scheme. In this paper DMPs are established for nonlinear finite element problems on surfaces with boundary, corresponding to the classical pointwise maximum principles on Riemannian manifolds in the spirit of Pucci &amp; Serrin (2007, The Maximum Principle. Springer). Various real-life examples illustrate the scope of the results.</jats:p>","lang":"eng"}]},{"user_id":"100441","department":[{"_id":"841"}],"_id":"45947","language":[{"iso":"eng"}],"keyword":["Applied Mathematics","Computational Mathematics"],"type":"journal_article","publication":"Numerische Mathematik","status":"public","date_created":"2023-07-10T11:40:40Z","author":[{"orcid":"0000-0001-9872-3474","last_name":"Kovács","id":"100441","full_name":"Kovács, Balázs","first_name":"Balázs"},{"first_name":"Christian","full_name":"Lubich, Christian","last_name":"Lubich"}],"volume":140,"date_updated":"2024-04-03T09:21:48Z","publisher":"Springer Science and Business Media LLC","doi":"10.1007/s00211-018-0962-6","title":"Linearly implicit full discretization of surface evolution","issue":"1","publication_status":"published","publication_identifier":{"issn":["0029-599X","0945-3245"]},"citation":{"short":"B. Kovács, C. Lubich, Numerische Mathematik 140 (2018) 121–152.","bibtex":"@article{Kovács_Lubich_2018, title={Linearly implicit full discretization of surface evolution}, volume={140}, DOI={<a href=\"https://doi.org/10.1007/s00211-018-0962-6\">10.1007/s00211-018-0962-6</a>}, number={1}, journal={Numerische Mathematik}, publisher={Springer Science and Business Media LLC}, author={Kovács, Balázs and Lubich, Christian}, year={2018}, pages={121–152} }","mla":"Kovács, Balázs, and Christian Lubich. “Linearly Implicit Full Discretization of Surface Evolution.” <i>Numerische Mathematik</i>, vol. 140, no. 1, Springer Science and Business Media LLC, 2018, pp. 121–52, doi:<a href=\"https://doi.org/10.1007/s00211-018-0962-6\">10.1007/s00211-018-0962-6</a>.","apa":"Kovács, B., &#38; Lubich, C. (2018). Linearly implicit full discretization of surface evolution. <i>Numerische Mathematik</i>, <i>140</i>(1), 121–152. <a href=\"https://doi.org/10.1007/s00211-018-0962-6\">https://doi.org/10.1007/s00211-018-0962-6</a>","ama":"Kovács B, Lubich C. Linearly implicit full discretization of surface evolution. <i>Numerische Mathematik</i>. 2018;140(1):121-152. doi:<a href=\"https://doi.org/10.1007/s00211-018-0962-6\">10.1007/s00211-018-0962-6</a>","ieee":"B. Kovács and C. Lubich, “Linearly implicit full discretization of surface evolution,” <i>Numerische Mathematik</i>, vol. 140, no. 1, pp. 121–152, 2018, doi: <a href=\"https://doi.org/10.1007/s00211-018-0962-6\">10.1007/s00211-018-0962-6</a>.","chicago":"Kovács, Balázs, and Christian Lubich. “Linearly Implicit Full Discretization of Surface Evolution.” <i>Numerische Mathematik</i> 140, no. 1 (2018): 121–52. <a href=\"https://doi.org/10.1007/s00211-018-0962-6\">https://doi.org/10.1007/s00211-018-0962-6</a>."},"intvolume":"       140","page":"121-152","year":"2018"},{"status":"public","type":"journal_article","publication":"Numerical Methods for Partial Differential Equations","language":[{"iso":"eng"}],"keyword":["Applied Mathematics","Computational Mathematics","Numerical Analysis","Analysis"],"user_id":"100441","department":[{"_id":"841"}],"_id":"45951","citation":{"apa":"Kovács, B. (2018). Computing arbitrary Lagrangian Eulerian maps for evolving surfaces. <i>Numerical Methods for Partial Differential Equations</i>, <i>35</i>(3), 1093–1112. <a href=\"https://doi.org/10.1002/num.22340\">https://doi.org/10.1002/num.22340</a>","mla":"Kovács, Balázs. “Computing Arbitrary Lagrangian Eulerian Maps for Evolving Surfaces.” <i>Numerical Methods for Partial Differential Equations</i>, vol. 35, no. 3, Wiley, 2018, pp. 1093–112, doi:<a href=\"https://doi.org/10.1002/num.22340\">10.1002/num.22340</a>.","bibtex":"@article{Kovács_2018, title={Computing arbitrary Lagrangian Eulerian maps for evolving surfaces}, volume={35}, DOI={<a href=\"https://doi.org/10.1002/num.22340\">10.1002/num.22340</a>}, number={3}, journal={Numerical Methods for Partial Differential Equations}, publisher={Wiley}, author={Kovács, Balázs}, year={2018}, pages={1093–1112} }","short":"B. Kovács, Numerical Methods for Partial Differential Equations 35 (2018) 1093–1112.","ama":"Kovács B. Computing arbitrary Lagrangian Eulerian maps for evolving surfaces. <i>Numerical Methods for Partial Differential Equations</i>. 2018;35(3):1093-1112. doi:<a href=\"https://doi.org/10.1002/num.22340\">10.1002/num.22340</a>","chicago":"Kovács, Balázs. “Computing Arbitrary Lagrangian Eulerian Maps for Evolving Surfaces.” <i>Numerical Methods for Partial Differential Equations</i> 35, no. 3 (2018): 1093–1112. <a href=\"https://doi.org/10.1002/num.22340\">https://doi.org/10.1002/num.22340</a>.","ieee":"B. Kovács, “Computing arbitrary Lagrangian Eulerian maps for evolving surfaces,” <i>Numerical Methods for Partial Differential Equations</i>, vol. 35, no. 3, pp. 1093–1112, 2018, doi: <a href=\"https://doi.org/10.1002/num.22340\">10.1002/num.22340</a>."},"page":"1093-1112","intvolume":"        35","year":"2018","issue":"3","publication_status":"published","publication_identifier":{"issn":["0749-159X","1098-2426"]},"doi":"10.1002/num.22340","title":"Computing arbitrary Lagrangian Eulerian maps for evolving surfaces","date_created":"2023-07-10T11:41:54Z","author":[{"last_name":"Kovács","orcid":"0000-0001-9872-3474","id":"100441","full_name":"Kovács, Balázs","first_name":"Balázs"}],"volume":35,"publisher":"Wiley","date_updated":"2024-04-03T09:21:13Z"},{"status":"public","type":"journal_article","extern":"1","article_type":"original","user_id":"81636","_id":"53191","citation":{"apa":"Januszewski, F. (2018). On period relations for automorphic 𝐿-functions I. <i>Transactions of the American Mathematical Society</i>, <i>371</i>(9), 6547–6580. <a href=\"https://doi.org/10.1090/tran/7527\">https://doi.org/10.1090/tran/7527</a>","mla":"Januszewski, Fabian. “On Period Relations for Automorphic 𝐿-Functions I.” <i>Transactions of the American Mathematical Society</i>, vol. 371, no. 9, American Mathematical Society (AMS), 2018, pp. 6547–80, doi:<a href=\"https://doi.org/10.1090/tran/7527\">10.1090/tran/7527</a>.","bibtex":"@article{Januszewski_2018, title={On period relations for automorphic 𝐿-functions I}, volume={371}, DOI={<a href=\"https://doi.org/10.1090/tran/7527\">10.1090/tran/7527</a>}, number={9}, journal={Transactions of the American Mathematical Society}, publisher={American Mathematical Society (AMS)}, author={Januszewski, Fabian}, year={2018}, pages={6547–6580} }","short":"F. Januszewski, Transactions of the American Mathematical Society 371 (2018) 6547–6580.","ieee":"F. Januszewski, “On period relations for automorphic 𝐿-functions I,” <i>Transactions of the American Mathematical Society</i>, vol. 371, no. 9, pp. 6547–6580, 2018, doi: <a href=\"https://doi.org/10.1090/tran/7527\">10.1090/tran/7527</a>.","chicago":"Januszewski, Fabian. “On Period Relations for Automorphic 𝐿-Functions I.” <i>Transactions of the American Mathematical Society</i> 371, no. 9 (2018): 6547–80. <a href=\"https://doi.org/10.1090/tran/7527\">https://doi.org/10.1090/tran/7527</a>.","ama":"Januszewski F. On period relations for automorphic 𝐿-functions I. <i>Transactions of the American Mathematical Society</i>. 2018;371(9):6547-6580. doi:<a href=\"https://doi.org/10.1090/tran/7527\">10.1090/tran/7527</a>"},"intvolume":"       371","page":"6547-6580","publication_status":"published","publication_identifier":{"issn":["0002-9947","1088-6850"]},"doi":"10.1090/tran/7527","author":[{"first_name":"Fabian","last_name":"Januszewski","orcid":"0000-0002-3184-237X","id":"81636","full_name":"Januszewski, Fabian"}],"volume":371,"date_updated":"2024-04-03T17:26:38Z","abstract":[{"lang":"eng","text":"<p>This paper is the first in a series of two dedicated to the study of period relations of the type <disp-formula content-type=\"math/mathml\">\r\n<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"upper L left-parenthesis one half plus k comma normal upper Pi right-parenthesis element-of left-parenthesis 2 pi i right-parenthesis Superscript d dot k Baseline normal upper Omega Subscript left-parenthesis negative 1 right-parenthesis Sub Superscript k Subscript Baseline reverse-solidus bf upper Q left-parenthesis normal upper Pi right-parenthesis comma one half plus k critical comma\">\r\n  <mml:semantics>\r\n    <mml:mrow>\r\n      <mml:mi>L</mml:mi>\r\n      <mml:mstyle scriptlevel=\"0\">\r\n        <mml:mrow class=\"MJX-TeXAtom-ORD\">\r\n          <mml:mo maxsize=\"1.623em\" minsize=\"1.623em\">(</mml:mo>\r\n        </mml:mrow>\r\n      </mml:mstyle>\r\n      <mml:mfrac>\r\n        <mml:mn>1</mml:mn>\r\n        <mml:mn>2</mml:mn>\r\n      </mml:mfrac>\r\n      <mml:mo>+</mml:mo>\r\n      <mml:mi>k</mml:mi>\r\n      <mml:mo>,</mml:mo>\r\n      <mml:mi mathvariant=\"normal\">Π<!-- Π --></mml:mi>\r\n      <mml:mstyle scriptlevel=\"0\">\r\n        <mml:mrow class=\"MJX-TeXAtom-ORD\">\r\n          <mml:mo maxsize=\"1.623em\" minsize=\"1.623em\">)</mml:mo>\r\n        </mml:mrow>\r\n      </mml:mstyle>\r\n      <mml:mspace width=\"thickmathspace\" />\r\n      <mml:mo>∈<!-- ∈ --></mml:mo>\r\n      <mml:mspace width=\"thickmathspace\" />\r\n      <mml:mo stretchy=\"false\">(</mml:mo>\r\n      <mml:mn>2</mml:mn>\r\n      <mml:mi>π<!-- π --></mml:mi>\r\n      <mml:mi>i</mml:mi>\r\n      <mml:msup>\r\n        <mml:mo stretchy=\"false\">)</mml:mo>\r\n        <mml:mrow class=\"MJX-TeXAtom-ORD\">\r\n          <mml:mi>d</mml:mi>\r\n          <mml:mo>⋅<!-- ⋅ --></mml:mo>\r\n          <mml:mi>k</mml:mi>\r\n        </mml:mrow>\r\n      </mml:msup>\r\n      <mml:msub>\r\n        <mml:mi mathvariant=\"normal\">Ω<!-- Ω --></mml:mi>\r\n        <mml:mrow class=\"MJX-TeXAtom-ORD\">\r\n          <mml:mo stretchy=\"false\">(</mml:mo>\r\n          <mml:mo>−<!-- − --></mml:mo>\r\n          <mml:mn>1</mml:mn>\r\n          <mml:msup>\r\n            <mml:mo stretchy=\"false\">)</mml:mo>\r\n            <mml:mi>k</mml:mi>\r\n          </mml:msup>\r\n        </mml:mrow>\r\n      </mml:msub>\r\n      <mml:mrow class=\"MJX-TeXAtom-ORD\">\r\n        <mml:mtext>\\bf Q</mml:mtext>\r\n      </mml:mrow>\r\n      <mml:mo stretchy=\"false\">(</mml:mo>\r\n      <mml:mi mathvariant=\"normal\">Π<!-- Π --></mml:mi>\r\n      <mml:mo stretchy=\"false\">)</mml:mo>\r\n      <mml:mo>,</mml:mo>\r\n      <mml:mspace width=\"1em\" />\r\n      <mml:mfrac>\r\n        <mml:mn>1</mml:mn>\r\n        <mml:mn>2</mml:mn>\r\n      </mml:mfrac>\r\n      <mml:mo>+</mml:mo>\r\n      <mml:mi>k</mml:mi>\r\n      <mml:mspace width=\"thickmathspace\" />\r\n      <mml:mtext>critical</mml:mtext>\r\n      <mml:mo>,</mml:mo>\r\n    </mml:mrow>\r\n    <mml:annotation encoding=\"application/x-tex\">\\begin{equation*} L\\Big (\\frac {1}{2}+k,\\Pi \\Big )\\;\\in \\;(2\\pi i)^{d\\cdot k}\\Omega _{(-1)^k}\\textrm {\\bf Q}(\\Pi ),\\quad \\frac {1}{2}+k\\;\\text {critical}, \\end{equation*}</mml:annotation>\r\n  </mml:semantics>\r\n</mml:math>\r\n</disp-formula>\r\n for certain automorphic representations <inline-formula content-type=\"math/mathml\">\r\n<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"normal upper Pi\">\r\n  <mml:semantics>\r\n    <mml:mi mathvariant=\"normal\">Π<!-- Π --></mml:mi>\r\n    <mml:annotation encoding=\"application/x-tex\">\\Pi</mml:annotation>\r\n  </mml:semantics>\r\n</mml:math>\r\n</inline-formula> of a reductive group <inline-formula content-type=\"math/mathml\">\r\n<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"upper G period\">\r\n  <mml:semantics>\r\n    <mml:mrow>\r\n      <mml:mi>G</mml:mi>\r\n      <mml:mo>.</mml:mo>\r\n    </mml:mrow>\r\n    <mml:annotation encoding=\"application/x-tex\">G.</mml:annotation>\r\n  </mml:semantics>\r\n</mml:math>\r\n</inline-formula> In this paper we discuss the case <inline-formula content-type=\"math/mathml\">\r\n<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"upper G equals normal upper G normal upper L left-parenthesis n plus 1 right-parenthesis times normal upper G normal upper L left-parenthesis n right-parenthesis period\">\r\n  <mml:semantics>\r\n    <mml:mrow>\r\n      <mml:mi>G</mml:mi>\r\n      <mml:mo>=</mml:mo>\r\n      <mml:mrow class=\"MJX-TeXAtom-ORD\">\r\n        <mml:mi mathvariant=\"normal\">G</mml:mi>\r\n        <mml:mi mathvariant=\"normal\">L</mml:mi>\r\n      </mml:mrow>\r\n      <mml:mo stretchy=\"false\">(</mml:mo>\r\n      <mml:mi>n</mml:mi>\r\n      <mml:mo>+</mml:mo>\r\n      <mml:mn>1</mml:mn>\r\n      <mml:mo stretchy=\"false\">)</mml:mo>\r\n      <mml:mo>×<!-- × --></mml:mo>\r\n      <mml:mrow class=\"MJX-TeXAtom-ORD\">\r\n        <mml:mi mathvariant=\"normal\">G</mml:mi>\r\n        <mml:mi mathvariant=\"normal\">L</mml:mi>\r\n      </mml:mrow>\r\n      <mml:mo stretchy=\"false\">(</mml:mo>\r\n      <mml:mi>n</mml:mi>\r\n      <mml:mo stretchy=\"false\">)</mml:mo>\r\n      <mml:mo>.</mml:mo>\r\n    </mml:mrow>\r\n    <mml:annotation encoding=\"application/x-tex\">G=\\mathrm {GL}(n+1)\\times \\mathrm {GL}(n).</mml:annotation>\r\n  </mml:semantics>\r\n</mml:math>\r\n</inline-formula> The case <inline-formula content-type=\"math/mathml\">\r\n<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"upper G equals normal upper G normal upper L left-parenthesis 2 n right-parenthesis\">\r\n  <mml:semantics>\r\n    <mml:mrow>\r\n      <mml:mi>G</mml:mi>\r\n      <mml:mo>=</mml:mo>\r\n      <mml:mrow class=\"MJX-TeXAtom-ORD\">\r\n        <mml:mi mathvariant=\"normal\">G</mml:mi>\r\n        <mml:mi mathvariant=\"normal\">L</mml:mi>\r\n      </mml:mrow>\r\n      <mml:mo stretchy=\"false\">(</mml:mo>\r\n      <mml:mn>2</mml:mn>\r\n      <mml:mi>n</mml:mi>\r\n      <mml:mo stretchy=\"false\">)</mml:mo>\r\n    </mml:mrow>\r\n    <mml:annotation encoding=\"application/x-tex\">G=\\mathrm {GL}(2n)</mml:annotation>\r\n  </mml:semantics>\r\n</mml:math>\r\n</inline-formula> is discussed in part two. Our method is representation theoretic and relies on the author’s recent results on global rational structures on automorphic representations. We show that the above period relations are intimately related to the field of definition of the global representation <inline-formula content-type=\"math/mathml\">\r\n<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"normal upper Pi\">\r\n  <mml:semantics>\r\n    <mml:mi mathvariant=\"normal\">Π<!-- Π --></mml:mi>\r\n    <mml:annotation encoding=\"application/x-tex\">\\Pi</mml:annotation>\r\n  </mml:semantics>\r\n</mml:math>\r\n</inline-formula> under consideration. The new period relations we prove are in accordance with Deligne’s Conjecture on special values of <inline-formula content-type=\"math/mathml\">\r\n<mml:math xmlns:mml=\"http://www.w3.org/1998/Math/MathML\" alttext=\"upper L\">\r\n  <mml:semantics>\r\n    <mml:mi>L</mml:mi>\r\n    <mml:annotation encoding=\"application/x-tex\">L</mml:annotation>\r\n  </mml:semantics>\r\n</mml:math>\r\n</inline-formula>-functions, and the author expects this method to apply to other cases as well.</p>"}],"publication":"Transactions of the American Mathematical Society","language":[{"iso":"eng"}],"keyword":["Applied Mathematics","General Mathematics"],"year":"2018","issue":"9","title":"On period relations for automorphic 𝐿-functions I","date_created":"2024-04-03T16:58:26Z","publisher":"American Mathematical Society (AMS)"},{"year":"2018","issue":"6","title":"Theoretical frameworks for designing and analyzing language-responsive mathematics teaching–learning arrangements","date_created":"2023-10-19T09:28:27Z","publisher":"Springer Science and Business Media LLC","publication":"ZDM","language":[{"iso":"eng"}],"keyword":["General Mathematics","Education"],"citation":{"mla":"Wessel, Lena, and Kirstin Erath. “Theoretical Frameworks for Designing and Analyzing Language-Responsive Mathematics Teaching–Learning Arrangements.” <i>ZDM</i>, vol. 50, no. 6, Springer Science and Business Media LLC, 2018, pp. 1053–64, doi:<a href=\"https://doi.org/10.1007/s11858-018-0980-y\">10.1007/s11858-018-0980-y</a>.","bibtex":"@article{Wessel_Erath_2018, title={Theoretical frameworks for designing and analyzing language-responsive mathematics teaching–learning arrangements}, volume={50}, DOI={<a href=\"https://doi.org/10.1007/s11858-018-0980-y\">10.1007/s11858-018-0980-y</a>}, number={6}, journal={ZDM}, publisher={Springer Science and Business Media LLC}, author={Wessel, Lena and Erath, Kirstin}, year={2018}, pages={1053–1064} }","short":"L. Wessel, K. Erath, ZDM 50 (2018) 1053–1064.","apa":"Wessel, L., &#38; Erath, K. (2018). Theoretical frameworks for designing and analyzing language-responsive mathematics teaching–learning arrangements. <i>ZDM</i>, <i>50</i>(6), 1053–1064. <a href=\"https://doi.org/10.1007/s11858-018-0980-y\">https://doi.org/10.1007/s11858-018-0980-y</a>","ama":"Wessel L, Erath K. Theoretical frameworks for designing and analyzing language-responsive mathematics teaching–learning arrangements. <i>ZDM</i>. 2018;50(6):1053-1064. doi:<a href=\"https://doi.org/10.1007/s11858-018-0980-y\">10.1007/s11858-018-0980-y</a>","chicago":"Wessel, Lena, and Kirstin Erath. “Theoretical Frameworks for Designing and Analyzing Language-Responsive Mathematics Teaching–Learning Arrangements.” <i>ZDM</i> 50, no. 6 (2018): 1053–64. <a href=\"https://doi.org/10.1007/s11858-018-0980-y\">https://doi.org/10.1007/s11858-018-0980-y</a>.","ieee":"L. Wessel and K. Erath, “Theoretical frameworks for designing and analyzing language-responsive mathematics teaching–learning arrangements,” <i>ZDM</i>, vol. 50, no. 6, pp. 1053–1064, 2018, doi: <a href=\"https://doi.org/10.1007/s11858-018-0980-y\">10.1007/s11858-018-0980-y</a>."},"page":"1053-1064","intvolume":"        50","publication_status":"published","publication_identifier":{"issn":["1863-9690","1863-9704"]},"doi":"10.1007/s11858-018-0980-y","author":[{"full_name":"Wessel, Lena","id":"85190","last_name":"Wessel","first_name":"Lena"},{"first_name":"Kirstin","full_name":"Erath, Kirstin","last_name":"Erath"}],"volume":50,"date_updated":"2024-04-18T09:04:31Z","status":"public","type":"journal_article","user_id":"37888","department":[{"_id":"643"}],"_id":"48321"},{"abstract":[{"text":"The transition from high school to university mathematics has proven to be difficult for many students but especially for pre-service secondary teachers. To support these students at mastering this transition, various universities have introduced support measures of various kinds. The WiGeMath project developed a taxonomy that makes it possible to describe and compare these measures concerning their goals as well as their frame characteristics. We will exemplify the use of the taxonomy in the description of one specific innovative measure that was part of the WiGeMath evaluations. Moreover, we will present first results concerning the goal-fulfilment of this measure concerning affective characteristics of the student cohort and their predominant beliefs.","lang":"eng"}],"publication":"Proceedings of the Second Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2018, 5-7 April 2018)","language":[{"iso":"eng"}],"keyword":["Beliefs.","Motivational developments","Novel approaches to teaching","Teacher education","Transition to and across university mathematics"],"year":"2018","quality_controlled":"1","title":"Evaluating Innovative Measures in University Mathematics – The Case of Affective Outcomes in a Lecture focused on Problem-Solving","date_created":"2019-03-25T15:35:42Z","publisher":"INDRUM Network, University of Agder","status":"public","editor":[{"first_name":"V.","last_name":"Durand-Guerrier","full_name":"Durand-Guerrier, V."},{"first_name":"R.","full_name":"Hochmuth, R.","last_name":"Hochmuth"},{"first_name":"S.","last_name":"Goodchild","full_name":"Goodchild, S."},{"first_name":"N.M.","full_name":"Hogstad, N.M.","last_name":"Hogstad"}],"type":"conference","extern":"1","department":[{"_id":"10"}],"user_id":"14931","_id":"8575","page":"527-536","citation":{"ama":"Kuklinski C, Leis E, Liebendörfer M, et al. Evaluating Innovative Measures in University Mathematics – The Case of Affective Outcomes in a Lecture focused on Problem-Solving. In: Durand-Guerrier V, Hochmuth R, Goodchild S, Hogstad NM, eds. <i>Proceedings of the Second Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2018, 5-7 April 2018)</i>. INDRUM Network, University of Agder; 2018:527-536.","ieee":"C. Kuklinski <i>et al.</i>, “Evaluating Innovative Measures in University Mathematics – The Case of Affective Outcomes in a Lecture focused on Problem-Solving,” in <i>Proceedings of the Second Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2018, 5-7 April 2018)</i>, 2018, pp. 527–536.","chicago":"Kuklinski, Christiane, Elena Leis, Michael Liebendörfer, Reinhard Hochmuth, Rolf Biehler, Elisa Lankeit, Silke Neuhaus, Niclas Schaper, and Mirko Schürmann. “Evaluating Innovative Measures in University Mathematics – The Case of Affective Outcomes in a Lecture Focused on Problem-Solving.” In <i>Proceedings of the Second Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2018, 5-7 April 2018)</i>, edited by V. Durand-Guerrier, R. Hochmuth, S. Goodchild, and N.M. Hogstad, 527–36. Kristiansand, Norway: INDRUM Network, University of Agder, 2018.","apa":"Kuklinski, C., Leis, E., Liebendörfer, M., Hochmuth, R., Biehler, R., Lankeit, E., Neuhaus, S., Schaper, N., &#38; Schürmann, M. (2018). Evaluating Innovative Measures in University Mathematics – The Case of Affective Outcomes in a Lecture focused on Problem-Solving. In V. Durand-Guerrier, R. Hochmuth, S. Goodchild, &#38; N. M. Hogstad (Eds.), <i>Proceedings of the Second Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2018, 5-7 April 2018)</i> (pp. 527–536). INDRUM Network, University of Agder.","mla":"Kuklinski, Christiane, et al. “Evaluating Innovative Measures in University Mathematics – The Case of Affective Outcomes in a Lecture Focused on Problem-Solving.” <i>Proceedings of the Second Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2018, 5-7 April 2018)</i>, edited by V. Durand-Guerrier et al., INDRUM Network, University of Agder, 2018, pp. 527–36.","bibtex":"@inproceedings{Kuklinski_Leis_Liebendörfer_Hochmuth_Biehler_Lankeit_Neuhaus_Schaper_Schürmann_2018, place={Kristiansand, Norway}, title={Evaluating Innovative Measures in University Mathematics – The Case of Affective Outcomes in a Lecture focused on Problem-Solving}, booktitle={Proceedings of the Second Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2018, 5-7 April 2018)}, publisher={INDRUM Network, University of Agder}, author={Kuklinski, Christiane and Leis, Elena and Liebendörfer, Michael and Hochmuth, Reinhard and Biehler, Rolf and Lankeit, Elisa and Neuhaus, Silke and Schaper, Niclas and Schürmann, Mirko}, editor={Durand-Guerrier, V. and Hochmuth, R. and Goodchild, S. and Hogstad, N.M.}, year={2018}, pages={527–536} }","short":"C. Kuklinski, E. Leis, M. Liebendörfer, R. Hochmuth, R. Biehler, E. Lankeit, S. Neuhaus, N. Schaper, M. Schürmann, in: V. Durand-Guerrier, R. Hochmuth, S. Goodchild, N.M. Hogstad (Eds.), Proceedings of the Second Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2018, 5-7 April 2018), INDRUM Network, University of Agder, Kristiansand, Norway, 2018, pp. 527–536."},"place":"Kristiansand, Norway","main_file_link":[{"url":"https://hal.archives-ouvertes.fr/INDRUM2018/public/Indrum2018Proceedings.pdf","open_access":"1"}],"author":[{"first_name":"Christiane","last_name":"Kuklinski","full_name":"Kuklinski, Christiane"},{"full_name":"Leis, Elena","last_name":"Leis","first_name":"Elena"},{"full_name":"Liebendörfer, Michael","id":"30933","orcid":"0000-0001-9887-2074","last_name":"Liebendörfer","first_name":"Michael"},{"first_name":"Reinhard","last_name":"Hochmuth","full_name":"Hochmuth, Reinhard"},{"full_name":"Biehler, Rolf","id":"16274","last_name":"Biehler","first_name":"Rolf"},{"full_name":"Lankeit, Elisa","last_name":"Lankeit","first_name":"Elisa"},{"last_name":"Neuhaus","full_name":"Neuhaus, Silke","first_name":"Silke"},{"first_name":"Niclas","full_name":"Schaper, Niclas","last_name":"Schaper"},{"first_name":"Mirko","full_name":"Schürmann, Mirko","id":"59707","orcid":"0000-0003-2646-085X","last_name":"Schürmann"}],"date_updated":"2023-01-17T23:36:13Z","oa":"1"},{"title":"Beta Distributions and Sonine Integrals for Bessel Functions on Symmetric Cones","doi":"10.1111/sapm.12217","publisher":"Wiley","date_updated":"2023-01-24T22:15:51Z","date_created":"2023-01-20T09:24:36Z","author":[{"last_name":"Rösler","full_name":"Rösler, Margit","id":"37390","first_name":"Margit"},{"first_name":"Michael","last_name":"Voit","full_name":"Voit, Michael"}],"volume":141,"year":"2018","citation":{"apa":"Rösler, M., &#38; Voit, M. (2018). Beta Distributions and Sonine Integrals for Bessel Functions on Symmetric Cones. <i>Studies in Applied Mathematics</i>, <i>141</i>(4), 474–500. <a href=\"https://doi.org/10.1111/sapm.12217\">https://doi.org/10.1111/sapm.12217</a>","bibtex":"@article{Rösler_Voit_2018, title={Beta Distributions and Sonine Integrals for Bessel Functions on Symmetric Cones}, volume={141}, DOI={<a href=\"https://doi.org/10.1111/sapm.12217\">10.1111/sapm.12217</a>}, number={4}, journal={Studies in Applied Mathematics}, publisher={Wiley}, author={Rösler, Margit and Voit, Michael}, year={2018}, pages={474–500} }","mla":"Rösler, Margit, and Michael Voit. “Beta Distributions and Sonine Integrals for Bessel Functions on Symmetric Cones.” <i>Studies in Applied Mathematics</i>, vol. 141, no. 4, Wiley, 2018, pp. 474–500, doi:<a href=\"https://doi.org/10.1111/sapm.12217\">10.1111/sapm.12217</a>.","short":"M. Rösler, M. Voit, Studies in Applied Mathematics 141 (2018) 474–500.","ama":"Rösler M, Voit M. Beta Distributions and Sonine Integrals for Bessel Functions on Symmetric Cones. <i>Studies in Applied Mathematics</i>. 2018;141(4):474-500. doi:<a href=\"https://doi.org/10.1111/sapm.12217\">10.1111/sapm.12217</a>","ieee":"M. Rösler and M. Voit, “Beta Distributions and Sonine Integrals for Bessel Functions on Symmetric Cones,” <i>Studies in Applied Mathematics</i>, vol. 141, no. 4, pp. 474–500, 2018, doi: <a href=\"https://doi.org/10.1111/sapm.12217\">10.1111/sapm.12217</a>.","chicago":"Rösler, Margit, and Michael Voit. “Beta Distributions and Sonine Integrals for Bessel Functions on Symmetric Cones.” <i>Studies in Applied Mathematics</i> 141, no. 4 (2018): 474–500. <a href=\"https://doi.org/10.1111/sapm.12217\">https://doi.org/10.1111/sapm.12217</a>."},"intvolume":"       141","page":"474-500","publication_status":"published","publication_identifier":{"issn":["0022-2526"]},"issue":"4","keyword":["Applied Mathematics"],"alternative_title":["Beta Distributions and Sonine Integrals"],"language":[{"iso":"eng"}],"_id":"37661","user_id":"93826","department":[{"_id":"555"}],"status":"public","type":"journal_article","publication":"Studies in Applied Mathematics"},{"publication":"Mathematische Nachrichten","type":"journal_article","status":"public","department":[{"_id":"555"}],"user_id":"58312","_id":"40050","language":[{"iso":"eng"}],"keyword":["General Mathematics"],"issue":"17-18","publication_identifier":{"issn":["0025-584X","1522-2616"]},"publication_status":"published","intvolume":"       291","page":"2516-2535","citation":{"apa":"Baeumer, B., Luks, T., &#38; Meerschaert, M. M. (2018). Space‐time fractional Dirichlet problems. <i>Mathematische Nachrichten</i>, <i>291</i>(17–18), 2516–2535. <a href=\"https://doi.org/10.1002/mana.201700111\">https://doi.org/10.1002/mana.201700111</a>","bibtex":"@article{Baeumer_Luks_Meerschaert_2018, title={Space‐time fractional Dirichlet problems}, volume={291}, DOI={<a href=\"https://doi.org/10.1002/mana.201700111\">10.1002/mana.201700111</a>}, number={17–18}, journal={Mathematische Nachrichten}, publisher={Wiley}, author={Baeumer, Boris and Luks, Tomasz and Meerschaert, Mark M.}, year={2018}, pages={2516–2535} }","mla":"Baeumer, Boris, et al. “Space‐time Fractional Dirichlet Problems.” <i>Mathematische Nachrichten</i>, vol. 291, no. 17–18, Wiley, 2018, pp. 2516–35, doi:<a href=\"https://doi.org/10.1002/mana.201700111\">10.1002/mana.201700111</a>.","short":"B. Baeumer, T. Luks, M.M. Meerschaert, Mathematische Nachrichten 291 (2018) 2516–2535.","ama":"Baeumer B, Luks T, Meerschaert MM. Space‐time fractional Dirichlet problems. <i>Mathematische Nachrichten</i>. 2018;291(17-18):2516-2535. doi:<a href=\"https://doi.org/10.1002/mana.201700111\">10.1002/mana.201700111</a>","chicago":"Baeumer, Boris, Tomasz Luks, and Mark M. Meerschaert. “Space‐time Fractional Dirichlet Problems.” <i>Mathematische Nachrichten</i> 291, no. 17–18 (2018): 2516–35. <a href=\"https://doi.org/10.1002/mana.201700111\">https://doi.org/10.1002/mana.201700111</a>.","ieee":"B. Baeumer, T. Luks, and M. M. Meerschaert, “Space‐time fractional Dirichlet problems,” <i>Mathematische Nachrichten</i>, vol. 291, no. 17–18, pp. 2516–2535, 2018, doi: <a href=\"https://doi.org/10.1002/mana.201700111\">10.1002/mana.201700111</a>."},"year":"2018","volume":291,"author":[{"last_name":"Baeumer","full_name":"Baeumer, Boris","first_name":"Boris"},{"first_name":"Tomasz","id":"58312","full_name":"Luks, Tomasz","last_name":"Luks"},{"first_name":"Mark M.","last_name":"Meerschaert","full_name":"Meerschaert, Mark M."}],"date_created":"2023-01-25T15:11:01Z","publisher":"Wiley","date_updated":"2023-01-26T17:19:39Z","doi":"10.1002/mana.201700111","title":"Space‐time fractional Dirichlet problems"},{"year":"2018","title":"Computing subfields of number fields and applications to Galois group computations","date_created":"2022-12-22T10:52:18Z","publisher":"Elsevier BV","abstract":[{"lang":"eng","text":"A polynomial time algorithm to find generators of the lattice of all subfields of a given number field was given in van Hoeij et al. (2013).\r\n\r\nThis article reports on a massive speedup of this algorithm. This is primary achieved by our new concept of Galois-generating subfields. In general this is a very small set of subfields that determine all other subfields in a group-theoretic way. We compute them by targeted calls to the method from van Hoeij et al. (2013). For an early termination of these calls, we give a list of criteria that imply that further calls will not result in additional subfields.\r\n\r\nFinally, we explain how we use subfields to get a good starting group for the computation of Galois groups."}],"publication":"Journal of Symbolic Computation","language":[{"iso":"eng"}],"keyword":["Computational Mathematics","Algebra and Number Theory"],"external_id":{"arxiv":["1610.06837 "]},"citation":{"apa":"Elsenhans, A.-S., &#38; Klüners, J. (2018). Computing subfields of number fields and applications to Galois group computations. <i>Journal of Symbolic Computation</i>, <i>93</i>, 1–20. <a href=\"https://doi.org/10.1016/j.jsc.2018.04.013\">https://doi.org/10.1016/j.jsc.2018.04.013</a>","bibtex":"@article{Elsenhans_Klüners_2018, title={Computing subfields of number fields and applications to Galois group computations}, volume={93}, DOI={<a href=\"https://doi.org/10.1016/j.jsc.2018.04.013\">10.1016/j.jsc.2018.04.013</a>}, journal={Journal of Symbolic Computation}, publisher={Elsevier BV}, author={Elsenhans, Andreas-Stephan and Klüners, Jürgen}, year={2018}, pages={1–20} }","mla":"Elsenhans, Andreas-Stephan, and Jürgen Klüners. “Computing Subfields of Number Fields and Applications to Galois Group Computations.” <i>Journal of Symbolic Computation</i>, vol. 93, Elsevier BV, 2018, pp. 1–20, doi:<a href=\"https://doi.org/10.1016/j.jsc.2018.04.013\">10.1016/j.jsc.2018.04.013</a>.","short":"A.-S. Elsenhans, J. Klüners, Journal of Symbolic Computation 93 (2018) 1–20.","ama":"Elsenhans A-S, Klüners J. Computing subfields of number fields and applications to Galois group computations. <i>Journal of Symbolic Computation</i>. 2018;93:1-20. doi:<a href=\"https://doi.org/10.1016/j.jsc.2018.04.013\">10.1016/j.jsc.2018.04.013</a>","ieee":"A.-S. Elsenhans and J. Klüners, “Computing subfields of number fields and applications to Galois group computations,” <i>Journal of Symbolic Computation</i>, vol. 93, pp. 1–20, 2018, doi: <a href=\"https://doi.org/10.1016/j.jsc.2018.04.013\">10.1016/j.jsc.2018.04.013</a>.","chicago":"Elsenhans, Andreas-Stephan, and Jürgen Klüners. “Computing Subfields of Number Fields and Applications to Galois Group Computations.” <i>Journal of Symbolic Computation</i> 93 (2018): 1–20. <a href=\"https://doi.org/10.1016/j.jsc.2018.04.013\">https://doi.org/10.1016/j.jsc.2018.04.013</a>."},"intvolume":"        93","page":"1-20","publication_status":"published","publication_identifier":{"issn":["0747-7171"]},"doi":"10.1016/j.jsc.2018.04.013","author":[{"full_name":"Elsenhans, Andreas-Stephan","last_name":"Elsenhans","first_name":"Andreas-Stephan"},{"first_name":"Jürgen","last_name":"Klüners","id":"21202","full_name":"Klüners, Jürgen"}],"volume":93,"date_updated":"2023-03-06T09:05:51Z","status":"public","type":"journal_article","user_id":"93826","department":[{"_id":"102"}],"_id":"34843"},{"department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"user_id":"23686","_id":"34663","type":"journal_article","status":"public","volume":22,"author":[{"orcid":"0000-0001-9963-0800","last_name":"Black","full_name":"Black, Tobias","id":"23686","first_name":"Tobias"}],"date_updated":"2022-12-21T10:05:19Z","doi":"10.3934/dcdsb.2017061","publication_identifier":{"issn":["1553-524X"]},"publication_status":"published","page":"1253-1272","intvolume":"        22","citation":{"ama":"Black T. Global existence and asymptotic stability in a competitive two-species chemotaxis system with two signals. <i>Discrete &#38;amp; Continuous Dynamical Systems - B</i>. 2017;22(4):1253-1272. doi:<a href=\"https://doi.org/10.3934/dcdsb.2017061\">10.3934/dcdsb.2017061</a>","ieee":"T. Black, “Global existence and asymptotic stability in a competitive two-species chemotaxis system with two signals,” <i>Discrete &#38;amp; Continuous Dynamical Systems - B</i>, vol. 22, no. 4, pp. 1253–1272, 2017, doi: <a href=\"https://doi.org/10.3934/dcdsb.2017061\">10.3934/dcdsb.2017061</a>.","chicago":"Black, Tobias. “Global Existence and Asymptotic Stability in a Competitive Two-Species Chemotaxis System with Two Signals.” <i>Discrete &#38;amp; Continuous Dynamical Systems - B</i> 22, no. 4 (2017): 1253–72. <a href=\"https://doi.org/10.3934/dcdsb.2017061\">https://doi.org/10.3934/dcdsb.2017061</a>.","short":"T. Black, Discrete &#38;amp; Continuous Dynamical Systems - B 22 (2017) 1253–1272.","mla":"Black, Tobias. “Global Existence and Asymptotic Stability in a Competitive Two-Species Chemotaxis System with Two Signals.” <i>Discrete &#38;amp; Continuous Dynamical Systems - B</i>, vol. 22, no. 4, American Institute of Mathematical Sciences (AIMS), 2017, pp. 1253–72, doi:<a href=\"https://doi.org/10.3934/dcdsb.2017061\">10.3934/dcdsb.2017061</a>.","bibtex":"@article{Black_2017, title={Global existence and asymptotic stability in a competitive two-species chemotaxis system with two signals}, volume={22}, DOI={<a href=\"https://doi.org/10.3934/dcdsb.2017061\">10.3934/dcdsb.2017061</a>}, number={4}, journal={Discrete &#38;amp; Continuous Dynamical Systems - B}, publisher={American Institute of Mathematical Sciences (AIMS)}, author={Black, Tobias}, year={2017}, pages={1253–1272} }","apa":"Black, T. (2017). Global existence and asymptotic stability in a competitive two-species chemotaxis system with two signals. <i>Discrete &#38;amp; Continuous Dynamical Systems - B</i>, <i>22</i>(4), 1253–1272. <a href=\"https://doi.org/10.3934/dcdsb.2017061\">https://doi.org/10.3934/dcdsb.2017061</a>"},"language":[{"iso":"eng"}],"keyword":["Applied Mathematics","Discrete Mathematics and Combinatorics"],"publication":"Discrete &amp; Continuous Dynamical Systems - B","date_created":"2022-12-21T09:46:50Z","publisher":"American Institute of Mathematical Sciences (AIMS)","title":"Global existence and asymptotic stability in a competitive two-species chemotaxis system with two signals","issue":"4","year":"2017"},{"issue":"2","year":"2017","date_created":"2022-12-21T09:47:13Z","publisher":"Springer Science and Business Media LLC","title":"Singular sensitivity in a Keller–Segel-fluid system","publication":"Journal of Evolution Equations","language":[{"iso":"eng"}],"keyword":["Mathematics (miscellaneous)"],"publication_identifier":{"issn":["1424-3199","1424-3202"]},"publication_status":"published","intvolume":"        18","page":"561-581","citation":{"short":"T. Black, J. Lankeit, M. Mizukami, Journal of Evolution Equations 18 (2017) 561–581.","mla":"Black, Tobias, et al. “Singular Sensitivity in a Keller–Segel-Fluid System.” <i>Journal of Evolution Equations</i>, vol. 18, no. 2, Springer Science and Business Media LLC, 2017, pp. 561–81, doi:<a href=\"https://doi.org/10.1007/s00028-017-0411-5\">10.1007/s00028-017-0411-5</a>.","bibtex":"@article{Black_Lankeit_Mizukami_2017, title={Singular sensitivity in a Keller–Segel-fluid system}, volume={18}, DOI={<a href=\"https://doi.org/10.1007/s00028-017-0411-5\">10.1007/s00028-017-0411-5</a>}, number={2}, journal={Journal of Evolution Equations}, publisher={Springer Science and Business Media LLC}, author={Black, Tobias and Lankeit, Johannes and Mizukami, Masaaki}, year={2017}, pages={561–581} }","apa":"Black, T., Lankeit, J., &#38; Mizukami, M. (2017). 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Power Guerra, “Maximum norm stability and error estimates for the evolving surface finite element method,” <i>Numerical Methods for Partial Differential Equations</i>, vol. 34, no. 2, pp. 518–554, 2017, doi: <a href=\"https://doi.org/10.1002/num.22212\">10.1002/num.22212</a>.","chicago":"Kovács, Balázs, and Christian Andreas Power Guerra. “Maximum Norm Stability and Error Estimates for the Evolving Surface Finite Element Method.” <i>Numerical Methods for Partial Differential Equations</i> 34, no. 2 (2017): 518–54. <a href=\"https://doi.org/10.1002/num.22212\">https://doi.org/10.1002/num.22212</a>."},"intvolume":"        34","page":"518-554","publication_status":"published","publication_identifier":{"issn":["0749-159X"]},"issue":"2","title":"Maximum norm stability and error estimates for the evolving surface finite element method","doi":"10.1002/num.22212","publisher":"Wiley","date_updated":"2024-04-03T09:22:00Z","author":[{"id":"100441","full_name":"Kovács, Balázs","orcid":"0000-0001-9872-3474","last_name":"Kovács","first_name":"Balázs"},{"first_name":"Christian Andreas","last_name":"Power Guerra","full_name":"Power Guerra, Christian Andreas"}],"date_created":"2023-07-10T11:40:24Z","volume":34},{"keyword":["Applied Mathematics","Computational Mathematics","General Mathematics"],"language":[{"iso":"eng"}],"_id":"45943","user_id":"100441","department":[{"_id":"841"}],"status":"public","type":"journal_article","publication":"IMA Journal of Numerical Analysis","title":"High-order evolving surface finite element method for parabolic problems on evolving surfaces","doi":"10.1093/imanum/drx013","publisher":"Oxford University Press (OUP)","date_updated":"2024-04-03T09:22:26Z","author":[{"first_name":"Balázs","id":"100441","full_name":"Kovács, Balázs","last_name":"Kovács","orcid":"0000-0001-9872-3474"}],"date_created":"2023-07-10T11:39:23Z","volume":38,"year":"2017","citation":{"apa":"Kovács, B. (2017). High-order evolving surface finite element method for parabolic problems on evolving surfaces. <i>IMA Journal of Numerical Analysis</i>, <i>38</i>(1), 430–459. <a href=\"https://doi.org/10.1093/imanum/drx013\">https://doi.org/10.1093/imanum/drx013</a>","short":"B. Kovács, IMA Journal of Numerical Analysis 38 (2017) 430–459.","mla":"Kovács, Balázs. “High-Order Evolving Surface Finite Element Method for Parabolic Problems on Evolving Surfaces.” <i>IMA Journal of Numerical Analysis</i>, vol. 38, no. 1, Oxford University Press (OUP), 2017, pp. 430–59, doi:<a href=\"https://doi.org/10.1093/imanum/drx013\">10.1093/imanum/drx013</a>.","bibtex":"@article{Kovács_2017, title={High-order evolving surface finite element method for parabolic problems on evolving surfaces}, volume={38}, DOI={<a href=\"https://doi.org/10.1093/imanum/drx013\">10.1093/imanum/drx013</a>}, number={1}, journal={IMA Journal of Numerical Analysis}, publisher={Oxford University Press (OUP)}, author={Kovács, Balázs}, year={2017}, pages={430–459} }","ama":"Kovács B. High-order evolving surface finite element method for parabolic problems on evolving surfaces. <i>IMA Journal of Numerical Analysis</i>. 2017;38(1):430-459. doi:<a href=\"https://doi.org/10.1093/imanum/drx013\">10.1093/imanum/drx013</a>","ieee":"B. Kovács, “High-order evolving surface finite element method for parabolic problems on evolving surfaces,” <i>IMA Journal of Numerical Analysis</i>, vol. 38, no. 1, pp. 430–459, 2017, doi: <a href=\"https://doi.org/10.1093/imanum/drx013\">10.1093/imanum/drx013</a>.","chicago":"Kovács, Balázs. “High-Order Evolving Surface Finite Element Method for Parabolic Problems on Evolving Surfaces.” <i>IMA Journal of Numerical Analysis</i> 38, no. 1 (2017): 430–59. <a href=\"https://doi.org/10.1093/imanum/drx013\">https://doi.org/10.1093/imanum/drx013</a>."},"intvolume":"        38","page":"430-459","publication_status":"published","publication_identifier":{"issn":["0272-4979","1464-3642"]},"issue":"1"}]