[{"citation":{"bibtex":"@article{Schwenker_2018, title={Generic Steady State Bifurcations in Monoid Equivariant Dynamics with Applications in Homogeneous Coupled Cell Systems}, volume={50}, DOI={<a href=\"https://doi.org/10.1137/17m116118x\">10.1137/17m116118x</a>}, number={3}, journal={SIAM Journal on Mathematical Analysis}, publisher={Society for Industrial &#38; Applied Mathematics (SIAM)}, author={Schwenker, Sören}, year={2018}, pages={2466–2485} }","ama":"Schwenker S. Generic Steady State Bifurcations in Monoid Equivariant Dynamics with Applications in Homogeneous Coupled Cell Systems. <i>SIAM Journal on Mathematical Analysis</i>. 2018;50(3):2466-2485. doi:<a href=\"https://doi.org/10.1137/17m116118x\">10.1137/17m116118x</a>","mla":"Schwenker, Sören. “Generic Steady State Bifurcations in Monoid Equivariant Dynamics with Applications in Homogeneous Coupled Cell Systems.” <i>SIAM Journal on Mathematical Analysis</i>, vol. 50, no. 3, Society for Industrial &#38; Applied Mathematics (SIAM), 2018, pp. 2466–85, doi:<a href=\"https://doi.org/10.1137/17m116118x\">10.1137/17m116118x</a>.","short":"S. Schwenker, SIAM Journal on Mathematical Analysis 50 (2018) 2466–2485.","chicago":"Schwenker, Sören. “Generic Steady State Bifurcations in Monoid Equivariant Dynamics with Applications in Homogeneous Coupled Cell Systems.” <i>SIAM Journal on Mathematical Analysis</i> 50, no. 3 (2018): 2466–85. <a href=\"https://doi.org/10.1137/17m116118x\">https://doi.org/10.1137/17m116118x</a>.","ieee":"S. Schwenker, “Generic Steady State Bifurcations in Monoid Equivariant Dynamics with Applications in Homogeneous Coupled Cell Systems,” <i>SIAM Journal on Mathematical Analysis</i>, vol. 50, no. 3, pp. 2466–2485, 2018, doi: <a href=\"https://doi.org/10.1137/17m116118x\">10.1137/17m116118x</a>.","apa":"Schwenker, S. (2018). Generic Steady State Bifurcations in Monoid Equivariant Dynamics with Applications in Homogeneous Coupled Cell Systems. <i>SIAM Journal on Mathematical Analysis</i>, <i>50</i>(3), 2466–2485. <a href=\"https://doi.org/10.1137/17m116118x\">https://doi.org/10.1137/17m116118x</a>"},"external_id":{"arxiv":["1802.08490"]},"status":"public","user_id":"97359","volume":50,"page":"2466-2485","_id":"33261","publisher":"Society for Industrial & Applied Mathematics (SIAM)","abstract":[{"text":"We prove that steady state bifurcations in finite-dimensional dynamical systems that are symmetric with respect to a monoid representation generically occur along an absolutely indecomposable subrepresentation. This is stated as a conjecture in [B. Rink and J. Sanders, SIAM J. Math. Anal., 46 (2014), pp. 1577--1609]. It is a generalization of the well-known fact that generic steady state bifurcations in equivariant dynamical systems occur along an absolutely irreducible subrepresentation if the symmetries form a group---finite or compact Lie. Our generalization also includes noncompact symmetry groups. The result has applications in bifurcation theory of homogeneous coupled cell networks as they can be embedded (under mild additional assumptions) into monoid equivariant systems.","lang":"eng"}],"extern":"1","publication":"SIAM Journal on Mathematical Analysis","issue":"3","keyword":["Applied Mathematics","Computational Mathematics","Analysis"],"type":"journal_article","date_created":"2022-09-06T11:24:18Z","date_updated":"2022-09-07T08:32:56Z","publication_status":"published","intvolume":"        50","title":"Generic Steady State Bifurcations in Monoid Equivariant Dynamics with Applications in Homogeneous Coupled Cell Systems","year":"2018","publication_identifier":{"issn":["0036-1410","1095-7154"]},"author":[{"id":"97359","full_name":"Schwenker, Sören","first_name":"Sören","orcid":"0000-0002-8054-2058","last_name":"Schwenker"}],"doi":"10.1137/17m116118x","language":[{"iso":"eng"}]},{"citation":{"ieee":"J. Karátson, B. Kovács, and S. Korotov, “Discrete maximum principles for nonlinear elliptic finite element problems on surfaces with boundary,” <i>IMA Journal of Numerical Analysis</i>, vol. 40, no. 2, pp. 1241–1265, 2018, doi: <a href=\"https://doi.org/10.1093/imanum/dry086\">10.1093/imanum/dry086</a>.","apa":"Karátson, J., Kovács, B., &#38; Korotov, S. (2018). Discrete maximum principles for nonlinear elliptic finite element problems on surfaces with boundary. <i>IMA Journal of Numerical Analysis</i>, <i>40</i>(2), 1241–1265. <a href=\"https://doi.org/10.1093/imanum/dry086\">https://doi.org/10.1093/imanum/dry086</a>","chicago":"Karátson, János, Balázs Kovács, and Sergey Korotov. “Discrete Maximum Principles for Nonlinear Elliptic Finite Element Problems on Surfaces with Boundary.” <i>IMA Journal of Numerical Analysis</i> 40, no. 2 (2018): 1241–65. <a href=\"https://doi.org/10.1093/imanum/dry086\">https://doi.org/10.1093/imanum/dry086</a>.","short":"J. Karátson, B. Kovács, S. Korotov, IMA Journal of Numerical Analysis 40 (2018) 1241–1265.","mla":"Karátson, János, et al. “Discrete Maximum Principles for Nonlinear Elliptic Finite Element Problems on Surfaces with Boundary.” <i>IMA Journal of Numerical Analysis</i>, vol. 40, no. 2, Oxford University Press (OUP), 2018, pp. 1241–65, doi:<a href=\"https://doi.org/10.1093/imanum/dry086\">10.1093/imanum/dry086</a>.","bibtex":"@article{Karátson_Kovács_Korotov_2018, title={Discrete maximum principles for nonlinear elliptic finite element problems on surfaces with boundary}, volume={40}, DOI={<a href=\"https://doi.org/10.1093/imanum/dry086\">10.1093/imanum/dry086</a>}, number={2}, journal={IMA Journal of Numerical Analysis}, publisher={Oxford University Press (OUP)}, author={Karátson, János and Kovács, Balázs and Korotov, Sergey}, year={2018}, pages={1241–1265} }","ama":"Karátson J, Kovács B, Korotov S. Discrete maximum principles for nonlinear elliptic finite element problems on surfaces with boundary. <i>IMA Journal of Numerical Analysis</i>. 2018;40(2):1241-1265. doi:<a href=\"https://doi.org/10.1093/imanum/dry086\">10.1093/imanum/dry086</a>"},"status":"public","publisher":"Oxford University Press (OUP)","_id":"45950","page":"1241-1265","volume":40,"user_id":"100441","publication":"IMA Journal of Numerical Analysis","issue":"2","abstract":[{"lang":"eng","text":"<jats:title>Abstract</jats:title><jats:p>The maximum principle forms an important qualitative property of second-order elliptic equations; therefore, its discrete analogues, the so-called discrete maximum principles (DMPs), have drawn much attention owing to their role in reinforcing the qualitative reliability of the given numerical scheme. In this paper DMPs are established for nonlinear finite element problems on surfaces with boundary, corresponding to the classical pointwise maximum principles on Riemannian manifolds in the spirit of Pucci &amp; Serrin (2007, The Maximum Principle. Springer). Various real-life examples illustrate the scope of the results.</jats:p>"}],"date_created":"2023-07-10T11:41:27Z","department":[{"_id":"841"}],"type":"journal_article","keyword":["Applied Mathematics","Computational Mathematics","General Mathematics"],"author":[{"full_name":"Karátson, János","last_name":"Karátson","first_name":"János"},{"full_name":"Kovács, Balázs","orcid":"0000-0001-9872-3474","last_name":"Kovács","first_name":"Balázs","id":"100441"},{"full_name":"Korotov, Sergey","last_name":"Korotov","first_name":"Sergey"}],"publication_identifier":{"issn":["0272-4979","1464-3642"]},"year":"2018","title":"Discrete maximum principles for nonlinear elliptic finite element problems on surfaces with boundary","intvolume":"        40","publication_status":"published","date_updated":"2024-04-03T09:21:21Z","language":[{"iso":"eng"}],"doi":"10.1093/imanum/dry086"},{"citation":{"chicago":"Karátson, János, Balázs Kovács, and Sergey Korotov. “Discrete Maximum Principles for Nonlinear Elliptic Finite Element Problems on Surfaces with Boundary.” <i>IMA Journal of Numerical Analysis</i> 40, no. 2 (2018): 1241–65. <a href=\"https://doi.org/10.1093/imanum/dry086\">https://doi.org/10.1093/imanum/dry086</a>.","short":"J. Karátson, B. Kovács, S. Korotov, IMA Journal of Numerical Analysis 40 (2018) 1241–1265.","apa":"Karátson, J., Kovács, B., &#38; Korotov, S. (2018). Discrete maximum principles for nonlinear elliptic finite element problems on surfaces with boundary. <i>IMA Journal of Numerical Analysis</i>, <i>40</i>(2), 1241–1265. <a href=\"https://doi.org/10.1093/imanum/dry086\">https://doi.org/10.1093/imanum/dry086</a>","ieee":"J. Karátson, B. Kovács, and S. Korotov, “Discrete maximum principles for nonlinear elliptic finite element problems on surfaces with boundary,” <i>IMA Journal of Numerical Analysis</i>, vol. 40, no. 2, pp. 1241–1265, 2018, doi: <a href=\"https://doi.org/10.1093/imanum/dry086\">10.1093/imanum/dry086</a>.","ama":"Karátson J, Kovács B, Korotov S. Discrete maximum principles for nonlinear elliptic finite element problems on surfaces with boundary. <i>IMA Journal of Numerical Analysis</i>. 2018;40(2):1241-1265. doi:<a href=\"https://doi.org/10.1093/imanum/dry086\">10.1093/imanum/dry086</a>","bibtex":"@article{Karátson_Kovács_Korotov_2018, title={Discrete maximum principles for nonlinear elliptic finite element problems on surfaces with boundary}, volume={40}, DOI={<a href=\"https://doi.org/10.1093/imanum/dry086\">10.1093/imanum/dry086</a>}, number={2}, journal={IMA Journal of Numerical Analysis}, publisher={Oxford University Press (OUP)}, author={Karátson, János and Kovács, Balázs and Korotov, Sergey}, year={2018}, pages={1241–1265} }","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>."},"page":"1241-1265","_id":"45949","publisher":"Oxford University Press (OUP)","user_id":"100441","volume":40,"status":"public","date_created":"2023-07-10T11:41:19Z","keyword":["Applied Mathematics","Computational Mathematics","General Mathematics"],"type":"journal_article","department":[{"_id":"841"}],"publication":"IMA Journal of Numerical Analysis","issue":"2","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"}],"language":[{"iso":"eng"}],"doi":"10.1093/imanum/dry086","title":"Discrete maximum principles for nonlinear elliptic finite element problems on surfaces with boundary","year":"2018","publication_identifier":{"issn":["0272-4979","1464-3642"]},"author":[{"last_name":"Karátson","first_name":"János","full_name":"Karátson, János"},{"full_name":"Kovács, Balázs","first_name":"Balázs","last_name":"Kovács"},{"last_name":"Korotov","first_name":"Sergey","full_name":"Korotov, Sergey"}],"date_updated":"2024-04-03T09:21:29Z","publication_status":"published","intvolume":"        40"},{"publication":"Numerische Mathematik","issue":"1","type":"journal_article","keyword":["Applied Mathematics","Computational Mathematics"],"department":[{"_id":"841"}],"date_created":"2023-07-10T11:40:40Z","date_updated":"2024-04-03T09:21:48Z","publication_status":"published","intvolume":"       140","year":"2018","title":"Linearly implicit full discretization of surface evolution","author":[{"id":"100441","first_name":"Balázs","last_name":"Kovács","orcid":"0000-0001-9872-3474","full_name":"Kovács, Balázs"},{"full_name":"Lubich, Christian","last_name":"Lubich","first_name":"Christian"}],"publication_identifier":{"issn":["0029-599X","0945-3245"]},"doi":"10.1007/s00211-018-0962-6","language":[{"iso":"eng"}],"citation":{"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>.","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>","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} }","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>","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>.","short":"B. Kovács, C. Lubich, Numerische Mathematik 140 (2018) 121–152."},"status":"public","user_id":"100441","volume":140,"page":"121-152","publisher":"Springer Science and Business Media LLC","_id":"45947"},{"citation":{"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} }","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>","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>.","short":"B. Kovács, Numerical Methods for Partial Differential Equations 35 (2018) 1093–1112.","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>.","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>"},"status":"public","page":"1093-1112","_id":"45951","publisher":"Wiley","user_id":"100441","volume":35,"issue":"3","publication":"Numerical Methods for Partial Differential Equations","date_created":"2023-07-10T11:41:54Z","type":"journal_article","keyword":["Applied Mathematics","Computational Mathematics","Numerical Analysis","Analysis"],"department":[{"_id":"841"}],"title":"Computing arbitrary Lagrangian Eulerian maps for evolving surfaces","year":"2018","author":[{"id":"100441","full_name":"Kovács, Balázs","first_name":"Balázs","last_name":"Kovács","orcid":"0000-0001-9872-3474"}],"publication_identifier":{"issn":["0749-159X","1098-2426"]},"date_updated":"2024-04-03T09:21:13Z","publication_status":"published","intvolume":"        35","language":[{"iso":"eng"}],"doi":"10.1002/num.22340"},{"date_updated":"2024-04-03T17:26:38Z","publication_status":"published","intvolume":"       371","article_type":"original","title":"On period relations for automorphic 𝐿-functions I","year":"2018","publication_identifier":{"issn":["0002-9947","1088-6850"]},"author":[{"orcid":"0000-0002-3184-237X","last_name":"Januszewski","first_name":"Fabian","full_name":"Januszewski, Fabian","id":"81636"}],"doi":"10.1090/tran/7527","language":[{"iso":"eng"}],"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>"}],"extern":"1","issue":"9","publication":"Transactions of the American Mathematical Society","type":"journal_article","keyword":["Applied Mathematics","General Mathematics"],"date_created":"2024-04-03T16:58:26Z","status":"public","user_id":"81636","volume":371,"page":"6547-6580","_id":"53191","publisher":"American Mathematical Society (AMS)","citation":{"short":"F. Januszewski, Transactions of the American Mathematical Society 371 (2018) 6547–6580.","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>.","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>","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>.","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>","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} }","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>."}},{"publication":"ZDM","issue":"6","department":[{"_id":"643"}],"type":"journal_article","keyword":["General Mathematics","Education"],"date_created":"2023-10-19T09:28:27Z","intvolume":"        50","date_updated":"2024-04-18T09:04:31Z","publication_status":"published","author":[{"last_name":"Wessel","first_name":"Lena","full_name":"Wessel, Lena","id":"85190"},{"full_name":"Erath, Kirstin","first_name":"Kirstin","last_name":"Erath"}],"publication_identifier":{"issn":["1863-9690","1863-9704"]},"title":"Theoretical frameworks for designing and analyzing language-responsive mathematics teaching–learning arrangements","year":"2018","doi":"10.1007/s11858-018-0980-y","language":[{"iso":"eng"}],"citation":{"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} }","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>","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>.","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>.","short":"L. Wessel, K. Erath, ZDM 50 (2018) 1053–1064.","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>.","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>"},"status":"public","volume":50,"user_id":"37888","_id":"48321","publisher":"Springer Science and Business Media LLC","page":"1053-1064"},{"author":[{"full_name":"Kuklinski, Christiane","first_name":"Christiane","last_name":"Kuklinski"},{"full_name":"Leis, Elena","last_name":"Leis","first_name":"Elena"},{"id":"30933","first_name":"Michael","last_name":"Liebendörfer","orcid":"0000-0001-9887-2074","full_name":"Liebendörfer, Michael"},{"full_name":"Hochmuth, Reinhard","last_name":"Hochmuth","first_name":"Reinhard"},{"last_name":"Biehler","first_name":"Rolf","full_name":"Biehler, Rolf","id":"16274"},{"full_name":"Lankeit, Elisa","first_name":"Elisa","last_name":"Lankeit"},{"full_name":"Neuhaus, Silke","first_name":"Silke","last_name":"Neuhaus"},{"full_name":"Schaper, Niclas","first_name":"Niclas","last_name":"Schaper"},{"first_name":"Mirko","orcid":"0000-0003-2646-085X","last_name":"Schürmann","full_name":"Schürmann, Mirko","id":"59707"}],"year":"2018","title":"Evaluating Innovative Measures in University Mathematics – The Case of Affective Outcomes in a Lecture focused on Problem-Solving","date_updated":"2023-01-17T23:36:13Z","language":[{"iso":"eng"}],"main_file_link":[{"url":"https://hal.archives-ouvertes.fr/INDRUM2018/public/Indrum2018Proceedings.pdf","open_access":"1"}],"publication":"Proceedings of the Second Conference of the International Network for Didactic Research in University Mathematics (INDRUM 2018, 5-7 April 2018)","extern":"1","abstract":[{"lang":"eng","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."}],"date_created":"2019-03-25T15:35:42Z","department":[{"_id":"10"}],"keyword":["Beliefs.","Motivational developments","Novel approaches to teaching","Teacher education","Transition to and across university mathematics"],"type":"conference","status":"public","publisher":"INDRUM Network, University of Agder","_id":"8575","page":"527-536","editor":[{"full_name":"Durand-Guerrier, V.","first_name":"V.","last_name":"Durand-Guerrier"},{"full_name":"Hochmuth, R.","first_name":"R.","last_name":"Hochmuth"},{"full_name":"Goodchild, S.","last_name":"Goodchild","first_name":"S."},{"first_name":"N.M.","last_name":"Hogstad","full_name":"Hogstad, N.M."}],"user_id":"14931","citation":{"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} }","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.","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.","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.","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.","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.","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."},"quality_controlled":"1","place":"Kristiansand, Norway","oa":"1"},{"issue":"4","publication":"Studies in Applied Mathematics","date_created":"2023-01-20T09:24:36Z","keyword":["Applied Mathematics"],"type":"journal_article","department":[{"_id":"555"}],"year":"2018","title":"Beta Distributions and Sonine Integrals for Bessel Functions on Symmetric Cones","publication_identifier":{"issn":["0022-2526"]},"author":[{"first_name":"Margit","last_name":"Rösler","full_name":"Rösler, Margit","id":"37390"},{"first_name":"Michael","last_name":"Voit","full_name":"Voit, Michael"}],"publication_status":"published","date_updated":"2023-01-24T22:15:51Z","intvolume":"       141","language":[{"iso":"eng"}],"doi":"10.1111/sapm.12217","alternative_title":["Beta Distributions and Sonine Integrals"],"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>","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>.","short":"M. Rösler, M. Voit, Studies in Applied Mathematics 141 (2018) 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>.","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>","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} }"},"status":"public","page":"474-500","publisher":"Wiley","_id":"37661","user_id":"93826","volume":141},{"page":"2516-2535","publisher":"Wiley","_id":"40050","user_id":"58312","volume":291,"status":"public","citation":{"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} }","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>.","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>","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>.","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>","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>."},"language":[{"iso":"eng"}],"doi":"10.1002/mana.201700111","year":"2018","title":"Space‐time fractional Dirichlet problems","publication_identifier":{"issn":["0025-584X","1522-2616"]},"author":[{"last_name":"Baeumer","first_name":"Boris","full_name":"Baeumer, Boris"},{"id":"58312","full_name":"Luks, Tomasz","last_name":"Luks","first_name":"Tomasz"},{"last_name":"Meerschaert","first_name":"Mark M.","full_name":"Meerschaert, Mark M."}],"date_updated":"2023-01-26T17:19:39Z","publication_status":"published","intvolume":"       291","date_created":"2023-01-25T15:11:01Z","keyword":["General Mathematics"],"type":"journal_article","department":[{"_id":"555"}],"issue":"17-18","publication":"Mathematische Nachrichten"},{"volume":93,"user_id":"93826","publisher":"Elsevier BV","_id":"34843","page":"1-20","status":"public","external_id":{"arxiv":["1610.06837 "]},"citation":{"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>.","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>","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} }","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>","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>.","short":"A.-S. Elsenhans, J. Klüners, Journal of Symbolic Computation 93 (2018) 1–20.","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>."},"doi":"10.1016/j.jsc.2018.04.013","language":[{"iso":"eng"}],"intvolume":"        93","publication_status":"published","date_updated":"2023-03-06T09:05:51Z","publication_identifier":{"issn":["0747-7171"]},"author":[{"first_name":"Andreas-Stephan","last_name":"Elsenhans","full_name":"Elsenhans, Andreas-Stephan"},{"id":"21202","full_name":"Klüners, Jürgen","first_name":"Jürgen","last_name":"Klüners"}],"year":"2018","title":"Computing subfields of number fields and applications to Galois group computations","department":[{"_id":"102"}],"keyword":["Computational Mathematics","Algebra and Number Theory"],"type":"journal_article","date_created":"2022-12-22T10:52:18Z","abstract":[{"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.","lang":"eng"}],"publication":"Journal of Symbolic Computation"},{"citation":{"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>.","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>","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>","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."},"status":"public","user_id":"23686","volume":22,"page":"1253-1272","_id":"34663","publisher":"American Institute of Mathematical Sciences (AIMS)","issue":"4","publication":"Discrete &amp; Continuous Dynamical Systems - B","type":"journal_article","keyword":["Applied Mathematics","Discrete Mathematics and Combinatorics"],"department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"date_created":"2022-12-21T09:46:50Z","publication_status":"published","date_updated":"2022-12-21T10:05:19Z","intvolume":"        22","title":"Global existence and asymptotic stability in a competitive two-species chemotaxis system with two signals","year":"2017","publication_identifier":{"issn":["1553-524X"]},"author":[{"last_name":"Black","orcid":"0000-0001-9963-0800","first_name":"Tobias","full_name":"Black, Tobias","id":"23686"}],"doi":"10.3934/dcdsb.2017061","language":[{"iso":"eng"}]},{"date_created":"2022-12-21T09:47:13Z","department":[{"_id":"34"},{"_id":"10"},{"_id":"90"}],"type":"journal_article","keyword":["Mathematics (miscellaneous)"],"publication":"Journal of Evolution Equations","issue":"2","language":[{"iso":"eng"}],"doi":"10.1007/s00028-017-0411-5","author":[{"id":"23686","full_name":"Black, Tobias","last_name":"Black","orcid":"0000-0001-9963-0800","first_name":"Tobias"},{"first_name":"Johannes","last_name":"Lankeit","full_name":"Lankeit, Johannes"},{"full_name":"Mizukami, Masaaki","first_name":"Masaaki","last_name":"Mizukami"}],"publication_identifier":{"issn":["1424-3199","1424-3202"]},"title":"Singular sensitivity in a Keller–Segel-fluid system","year":"2017","intvolume":"        18","publication_status":"published","date_updated":"2022-12-21T10:05:25Z","citation":{"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} }","ama":"Black T, Lankeit J, Mizukami M. Singular sensitivity in a Keller–Segel-fluid system. <i>Journal of Evolution Equations</i>. 2017;18(2):561-581. doi:<a href=\"https://doi.org/10.1007/s00028-017-0411-5\">10.1007/s00028-017-0411-5</a>","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>.","chicago":"Black, Tobias, Johannes Lankeit, and Masaaki Mizukami. “Singular Sensitivity in a Keller–Segel-Fluid System.” <i>Journal of Evolution Equations</i> 18, no. 2 (2017): 561–81. <a href=\"https://doi.org/10.1007/s00028-017-0411-5\">https://doi.org/10.1007/s00028-017-0411-5</a>.","short":"T. Black, J. Lankeit, M. Mizukami, Journal of Evolution Equations 18 (2017) 561–581.","ieee":"T. Black, J. Lankeit, and M. Mizukami, “Singular sensitivity in a Keller–Segel-fluid system,” <i>Journal of Evolution Equations</i>, vol. 18, no. 2, pp. 561–581, 2017, doi: <a href=\"https://doi.org/10.1007/s00028-017-0411-5\">10.1007/s00028-017-0411-5</a>.","apa":"Black, T., Lankeit, J., &#38; Mizukami, M. (2017). Singular sensitivity in a Keller–Segel-fluid system. <i>Journal of Evolution Equations</i>, <i>18</i>(2), 561–581. <a href=\"https://doi.org/10.1007/s00028-017-0411-5\">https://doi.org/10.1007/s00028-017-0411-5</a>"},"_id":"34665","publisher":"Springer Science and Business Media LLC","page":"561-581","volume":18,"user_id":"23686","status":"public"},{"publication":"Advances in Mathematics","department":[{"_id":"10"},{"_id":"623"},{"_id":"548"}],"type":"journal_article","keyword":["General Mathematics"],"date_created":"2022-05-17T12:16:37Z","intvolume":"       313","publication_status":"published","date_updated":"2022-05-19T10:15:00Z","publication_identifier":{"issn":["0001-8708"]},"author":[{"first_name":"Benjamin","last_name":"Harris","full_name":"Harris, Benjamin"},{"first_name":"Tobias","orcid":"0000-0002-9648-6919","last_name":"Weich","full_name":"Weich, Tobias","id":"49178"}],"title":"Wave front sets of reductive Lie group representations III","year":"2017","doi":"10.1016/j.aim.2017.03.025","language":[{"iso":"eng"}],"citation":{"short":"B. Harris, T. Weich, Advances in Mathematics 313 (2017) 176–236.","chicago":"Harris, Benjamin, and Tobias Weich. “Wave Front Sets of Reductive Lie Group Representations III.” <i>Advances in Mathematics</i> 313 (2017): 176–236. <a href=\"https://doi.org/10.1016/j.aim.2017.03.025\">https://doi.org/10.1016/j.aim.2017.03.025</a>.","apa":"Harris, B., &#38; Weich, T. (2017). Wave front sets of reductive Lie group representations III. <i>Advances in Mathematics</i>, <i>313</i>, 176–236. <a href=\"https://doi.org/10.1016/j.aim.2017.03.025\">https://doi.org/10.1016/j.aim.2017.03.025</a>","ieee":"B. Harris and T. Weich, “Wave front sets of reductive Lie group representations III,” <i>Advances in Mathematics</i>, vol. 313, pp. 176–236, 2017, doi: <a href=\"https://doi.org/10.1016/j.aim.2017.03.025\">10.1016/j.aim.2017.03.025</a>.","ama":"Harris B, Weich T. Wave front sets of reductive Lie group representations III. <i>Advances in Mathematics</i>. 2017;313:176-236. doi:<a href=\"https://doi.org/10.1016/j.aim.2017.03.025\">10.1016/j.aim.2017.03.025</a>","bibtex":"@article{Harris_Weich_2017, title={Wave front sets of reductive Lie group representations III}, volume={313}, DOI={<a href=\"https://doi.org/10.1016/j.aim.2017.03.025\">10.1016/j.aim.2017.03.025</a>}, journal={Advances in Mathematics}, publisher={Elsevier BV}, author={Harris, Benjamin and Weich, Tobias}, year={2017}, pages={176–236} }","mla":"Harris, Benjamin, and Tobias Weich. “Wave Front Sets of Reductive Lie Group Representations III.” <i>Advances in Mathematics</i>, vol. 313, Elsevier BV, 2017, pp. 176–236, doi:<a href=\"https://doi.org/10.1016/j.aim.2017.03.025\">10.1016/j.aim.2017.03.025</a>."},"external_id":{"arxiv":["1503.08431"]},"status":"public","volume":313,"user_id":"49178","publisher":"Elsevier BV","_id":"31272","page":"176-236"},{"citation":{"chicago":"Hesse, Kerstin, Ian H. Sloan, and Robert S. Womersley. “Radial Basis Function Approximation of Noisy Scattered Data on the Sphere.” <i>Numerische Mathematik</i> 137, no. 3 (2017): 579–605. <a href=\"https://doi.org/10.1007/s00211-017-0886-6\">https://doi.org/10.1007/s00211-017-0886-6</a>.","short":"K. Hesse, I.H. Sloan, R.S. Womersley, Numerische Mathematik 137 (2017) 579–605.","apa":"Hesse, K., Sloan, I. H., &#38; Womersley, R. S. (2017). Radial basis function approximation of noisy scattered data on the sphere. <i>Numerische Mathematik</i>, <i>137</i>(3), 579–605. <a href=\"https://doi.org/10.1007/s00211-017-0886-6\">https://doi.org/10.1007/s00211-017-0886-6</a>","ieee":"K. Hesse, I. H. Sloan, and R. S. Womersley, “Radial basis function approximation of noisy scattered data on the sphere,” <i>Numerische Mathematik</i>, vol. 137, no. 3, pp. 579–605, 2017, doi: <a href=\"https://doi.org/10.1007/s00211-017-0886-6\">10.1007/s00211-017-0886-6</a>.","ama":"Hesse K, Sloan IH, Womersley RS. Radial basis function approximation of noisy scattered data on the sphere. <i>Numerische Mathematik</i>. 2017;137(3):579-605. doi:<a href=\"https://doi.org/10.1007/s00211-017-0886-6\">10.1007/s00211-017-0886-6</a>","bibtex":"@article{Hesse_Sloan_Womersley_2017, title={Radial basis function approximation of noisy scattered data on the sphere}, volume={137}, DOI={<a href=\"https://doi.org/10.1007/s00211-017-0886-6\">10.1007/s00211-017-0886-6</a>}, number={3}, journal={Numerische Mathematik}, publisher={Springer Science and Business Media LLC}, author={Hesse, Kerstin and Sloan, Ian H. and Womersley, Robert S.}, year={2017}, pages={579–605} }","mla":"Hesse, Kerstin, et al. “Radial Basis Function Approximation of Noisy Scattered Data on the Sphere.” <i>Numerische Mathematik</i>, vol. 137, no. 3, Springer Science and Business Media LLC, 2017, pp. 579–605, doi:<a href=\"https://doi.org/10.1007/s00211-017-0886-6\">10.1007/s00211-017-0886-6</a>."},"page":"579-605","publisher":"Springer Science and Business Media LLC","_id":"34631","user_id":"14931","volume":137,"status":"public","date_created":"2022-12-20T17:29:02Z","type":"journal_article","keyword":["Applied Mathematics","Computational Mathematics"],"department":[{"_id":"10"}],"publication":"Numerische Mathematik","issue":"3","language":[{"iso":"eng"}],"doi":"10.1007/s00211-017-0886-6","year":"2017","title":"Radial basis function approximation of noisy scattered data on the sphere","author":[{"id":"42608","full_name":"Hesse, Kerstin","last_name":"Hesse","first_name":"Kerstin","orcid":"0000-0003-4125-1941"},{"first_name":"Ian H.","last_name":"Sloan","full_name":"Sloan, Ian H."},{"full_name":"Womersley, Robert S.","last_name":"Womersley","first_name":"Robert S."}],"publication_identifier":{"issn":["0029-599X","0945-3245"]},"publication_status":"published","date_updated":"2023-01-09T08:24:20Z","intvolume":"       137"},{"language":[{"iso":"eng"}],"doi":"10.1007/s00208-017-1576-5","year":"2017","title":"Classical and quantum resonances for hyperbolic surfaces","publication_identifier":{"issn":["0025-5831","1432-1807"]},"author":[{"full_name":"Guillarmou, Colin","first_name":"Colin","last_name":"Guillarmou"},{"id":"220","last_name":"Hilgert","first_name":"Joachim","full_name":"Hilgert, Joachim"},{"last_name":"Weich","orcid":"0000-0002-9648-6919","first_name":"Tobias","full_name":"Weich, Tobias","id":"49178"}],"publication_status":"published","date_updated":"2024-02-19T06:18:21Z","intvolume":"       370","date_created":"2022-05-17T12:09:43Z","keyword":["General Mathematics"],"type":"journal_article","department":[{"_id":"10"},{"_id":"623"},{"_id":"548"},{"_id":"91"}],"publication":"Mathematische Annalen","issue":"3-4","page":"1231-1275","_id":"31267","publisher":"Springer Science and Business Media LLC","user_id":"49063","volume":370,"status":"public","external_id":{"arxiv":["1605.08801"]},"citation":{"short":"C. Guillarmou, J. Hilgert, T. Weich, Mathematische Annalen 370 (2017) 1231–1275.","chicago":"Guillarmou, Colin, Joachim Hilgert, and Tobias Weich. “Classical and Quantum Resonances for Hyperbolic Surfaces.” <i>Mathematische Annalen</i> 370, no. 3–4 (2017): 1231–75. <a href=\"https://doi.org/10.1007/s00208-017-1576-5\">https://doi.org/10.1007/s00208-017-1576-5</a>.","ieee":"C. Guillarmou, J. Hilgert, and T. Weich, “Classical and quantum resonances for hyperbolic surfaces,” <i>Mathematische Annalen</i>, vol. 370, no. 3–4, pp. 1231–1275, 2017, doi: <a href=\"https://doi.org/10.1007/s00208-017-1576-5\">10.1007/s00208-017-1576-5</a>.","apa":"Guillarmou, C., Hilgert, J., &#38; Weich, T. (2017). Classical and quantum resonances for hyperbolic surfaces. <i>Mathematische Annalen</i>, <i>370</i>(3–4), 1231–1275. <a href=\"https://doi.org/10.1007/s00208-017-1576-5\">https://doi.org/10.1007/s00208-017-1576-5</a>","bibtex":"@article{Guillarmou_Hilgert_Weich_2017, title={Classical and quantum resonances for hyperbolic surfaces}, volume={370}, DOI={<a href=\"https://doi.org/10.1007/s00208-017-1576-5\">10.1007/s00208-017-1576-5</a>}, number={3–4}, journal={Mathematische Annalen}, publisher={Springer Science and Business Media LLC}, author={Guillarmou, Colin and Hilgert, Joachim and Weich, Tobias}, year={2017}, pages={1231–1275} }","ama":"Guillarmou C, Hilgert J, Weich T. Classical and quantum resonances for hyperbolic surfaces. <i>Mathematische Annalen</i>. 2017;370(3-4):1231-1275. doi:<a href=\"https://doi.org/10.1007/s00208-017-1576-5\">10.1007/s00208-017-1576-5</a>","mla":"Guillarmou, Colin, et al. “Classical and Quantum Resonances for Hyperbolic Surfaces.” <i>Mathematische Annalen</i>, vol. 370, no. 3–4, Springer Science and Business Media LLC, 2017, pp. 1231–75, doi:<a href=\"https://doi.org/10.1007/s00208-017-1576-5\">10.1007/s00208-017-1576-5</a>."}},{"department":[{"_id":"841"}],"type":"journal_article","keyword":["Applied Mathematics","Computational Mathematics"],"date_created":"2023-07-10T11:38:48Z","publication":"Numerische Mathematik","issue":"3","doi":"10.1007/s00211-017-0888-4","language":[{"iso":"eng"}],"intvolume":"       137","date_updated":"2024-04-03T09:22:43Z","publication_status":"published","author":[{"full_name":"Kovács, Balázs","first_name":"Balázs","orcid":"0000-0001-9872-3474","last_name":"Kovács","id":"100441"},{"last_name":"Li","first_name":"Buyang","full_name":"Li, Buyang"},{"full_name":"Lubich, Christian","last_name":"Lubich","first_name":"Christian"},{"full_name":"Power Guerra, Christian A.","last_name":"Power Guerra","first_name":"Christian A."}],"publication_identifier":{"issn":["0029-599X","0945-3245"]},"year":"2017","title":"Convergence of finite elements on an evolving surface driven by diffusion on the surface","citation":{"chicago":"Kovács, Balázs, Buyang Li, Christian Lubich, and Christian A. Power Guerra. “Convergence of Finite Elements on an Evolving Surface Driven by Diffusion on the Surface.” <i>Numerische Mathematik</i> 137, no. 3 (2017): 643–89. <a href=\"https://doi.org/10.1007/s00211-017-0888-4\">https://doi.org/10.1007/s00211-017-0888-4</a>.","short":"B. Kovács, B. Li, C. Lubich, C.A. Power Guerra, Numerische Mathematik 137 (2017) 643–689.","ieee":"B. Kovács, B. Li, C. Lubich, and C. A. Power Guerra, “Convergence of finite elements on an evolving surface driven by diffusion on the surface,” <i>Numerische Mathematik</i>, vol. 137, no. 3, pp. 643–689, 2017, doi: <a href=\"https://doi.org/10.1007/s00211-017-0888-4\">10.1007/s00211-017-0888-4</a>.","apa":"Kovács, B., Li, B., Lubich, C., &#38; Power Guerra, C. A. (2017). Convergence of finite elements on an evolving surface driven by diffusion on the surface. <i>Numerische Mathematik</i>, <i>137</i>(3), 643–689. <a href=\"https://doi.org/10.1007/s00211-017-0888-4\">https://doi.org/10.1007/s00211-017-0888-4</a>","bibtex":"@article{Kovács_Li_Lubich_Power Guerra_2017, title={Convergence of finite elements on an evolving surface driven by diffusion on the surface}, volume={137}, DOI={<a href=\"https://doi.org/10.1007/s00211-017-0888-4\">10.1007/s00211-017-0888-4</a>}, number={3}, journal={Numerische Mathematik}, publisher={Springer Science and Business Media LLC}, author={Kovács, Balázs and Li, Buyang and Lubich, Christian and Power Guerra, Christian A.}, year={2017}, pages={643–689} }","ama":"Kovács B, Li B, Lubich C, Power Guerra CA. Convergence of finite elements on an evolving surface driven by diffusion on the surface. <i>Numerische Mathematik</i>. 2017;137(3):643-689. doi:<a href=\"https://doi.org/10.1007/s00211-017-0888-4\">10.1007/s00211-017-0888-4</a>","mla":"Kovács, Balázs, et al. “Convergence of Finite Elements on an Evolving Surface Driven by Diffusion on the Surface.” <i>Numerische Mathematik</i>, vol. 137, no. 3, Springer Science and Business Media LLC, 2017, pp. 643–89, doi:<a href=\"https://doi.org/10.1007/s00211-017-0888-4\">10.1007/s00211-017-0888-4</a>."},"volume":137,"user_id":"100441","_id":"45941","publisher":"Springer Science and Business Media LLC","page":"643-689","status":"public"},{"status":"public","user_id":"100441","volume":138,"page":"365-388","_id":"45942","publisher":"Springer Science and Business Media LLC","citation":{"apa":"Kovács, B., &#38; Lubich, C. (2017). Stability and convergence of time discretizations of quasi-linear evolution equations of Kato type. <i>Numerische Mathematik</i>, <i>138</i>(2), 365–388. <a href=\"https://doi.org/10.1007/s00211-017-0909-3\">https://doi.org/10.1007/s00211-017-0909-3</a>","ieee":"B. Kovács and C. Lubich, “Stability and convergence of time discretizations of quasi-linear evolution equations of Kato type,” <i>Numerische Mathematik</i>, vol. 138, no. 2, pp. 365–388, 2017, doi: <a href=\"https://doi.org/10.1007/s00211-017-0909-3\">10.1007/s00211-017-0909-3</a>.","short":"B. Kovács, C. Lubich, Numerische Mathematik 138 (2017) 365–388.","chicago":"Kovács, Balázs, and Christian Lubich. “Stability and Convergence of Time Discretizations of Quasi-Linear Evolution Equations of Kato Type.” <i>Numerische Mathematik</i> 138, no. 2 (2017): 365–88. <a href=\"https://doi.org/10.1007/s00211-017-0909-3\">https://doi.org/10.1007/s00211-017-0909-3</a>.","mla":"Kovács, Balázs, and Christian Lubich. “Stability and Convergence of Time Discretizations of Quasi-Linear Evolution Equations of Kato Type.” <i>Numerische Mathematik</i>, vol. 138, no. 2, Springer Science and Business Media LLC, 2017, pp. 365–88, doi:<a href=\"https://doi.org/10.1007/s00211-017-0909-3\">10.1007/s00211-017-0909-3</a>.","ama":"Kovács B, Lubich C. Stability and convergence of time discretizations of quasi-linear evolution equations of Kato type. <i>Numerische Mathematik</i>. 2017;138(2):365-388. doi:<a href=\"https://doi.org/10.1007/s00211-017-0909-3\">10.1007/s00211-017-0909-3</a>","bibtex":"@article{Kovács_Lubich_2017, title={Stability and convergence of time discretizations of quasi-linear evolution equations of Kato type}, volume={138}, DOI={<a href=\"https://doi.org/10.1007/s00211-017-0909-3\">10.1007/s00211-017-0909-3</a>}, number={2}, journal={Numerische Mathematik}, publisher={Springer Science and Business Media LLC}, author={Kovács, Balázs and Lubich, Christian}, year={2017}, pages={365–388} }"},"date_updated":"2024-04-03T09:22:34Z","publication_status":"published","intvolume":"       138","title":"Stability and convergence of time discretizations of quasi-linear evolution equations of Kato type","year":"2017","publication_identifier":{"issn":["0029-599X","0945-3245"]},"author":[{"last_name":"Kovács","orcid":"0000-0001-9872-3474","first_name":"Balázs","full_name":"Kovács, Balázs","id":"100441"},{"last_name":"Lubich","first_name":"Christian","full_name":"Lubich, Christian"}],"doi":"10.1007/s00211-017-0909-3","language":[{"iso":"eng"}],"publication":"Numerische Mathematik","issue":"2","type":"journal_article","keyword":["Applied Mathematics","Computational Mathematics"],"department":[{"_id":"841"}],"date_created":"2023-07-10T11:39:05Z"},{"doi":"10.1007/s00211-017-0868-8","language":[{"iso":"eng"}],"date_updated":"2024-04-03T09:22:51Z","publication_status":"published","intvolume":"       137","title":"Stable and convergent fully discrete interior–exterior coupling of Maxwell’s equations","year":"2017","publication_identifier":{"issn":["0029-599X","0945-3245"]},"author":[{"full_name":"Kovács, Balázs","orcid":"0000-0001-9872-3474","last_name":"Kovács","first_name":"Balázs","id":"100441"},{"full_name":"Lubich, Christian","last_name":"Lubich","first_name":"Christian"}],"keyword":["Applied Mathematics","Computational Mathematics"],"type":"journal_article","department":[{"_id":"841"}],"date_created":"2023-07-10T11:38:34Z","issue":"1","publication":"Numerische Mathematik","user_id":"100441","volume":137,"page":"91-117","_id":"45940","publisher":"Springer Science and Business Media LLC","status":"public","citation":{"mla":"Kovács, Balázs, and Christian Lubich. “Stable and Convergent Fully Discrete Interior–Exterior Coupling of Maxwell’s Equations.” <i>Numerische Mathematik</i>, vol. 137, no. 1, Springer Science and Business Media LLC, 2017, pp. 91–117, doi:<a href=\"https://doi.org/10.1007/s00211-017-0868-8\">10.1007/s00211-017-0868-8</a>.","ama":"Kovács B, Lubich C. Stable and convergent fully discrete interior–exterior coupling of Maxwell’s equations. <i>Numerische Mathematik</i>. 2017;137(1):91-117. doi:<a href=\"https://doi.org/10.1007/s00211-017-0868-8\">10.1007/s00211-017-0868-8</a>","bibtex":"@article{Kovács_Lubich_2017, title={Stable and convergent fully discrete interior–exterior coupling of Maxwell’s equations}, volume={137}, DOI={<a href=\"https://doi.org/10.1007/s00211-017-0868-8\">10.1007/s00211-017-0868-8</a>}, number={1}, journal={Numerische Mathematik}, publisher={Springer Science and Business Media LLC}, author={Kovács, Balázs and Lubich, Christian}, year={2017}, pages={91–117} }","apa":"Kovács, B., &#38; Lubich, C. (2017). Stable and convergent fully discrete interior–exterior coupling of Maxwell’s equations. <i>Numerische Mathematik</i>, <i>137</i>(1), 91–117. <a href=\"https://doi.org/10.1007/s00211-017-0868-8\">https://doi.org/10.1007/s00211-017-0868-8</a>","ieee":"B. Kovács and C. Lubich, “Stable and convergent fully discrete interior–exterior coupling of Maxwell’s equations,” <i>Numerische Mathematik</i>, vol. 137, no. 1, pp. 91–117, 2017, doi: <a href=\"https://doi.org/10.1007/s00211-017-0868-8\">10.1007/s00211-017-0868-8</a>.","short":"B. Kovács, C. Lubich, Numerische Mathematik 137 (2017) 91–117.","chicago":"Kovács, Balázs, and Christian Lubich. “Stable and Convergent Fully Discrete Interior–Exterior Coupling of Maxwell’s Equations.” <i>Numerische Mathematik</i> 137, no. 1 (2017): 91–117. <a href=\"https://doi.org/10.1007/s00211-017-0868-8\">https://doi.org/10.1007/s00211-017-0868-8</a>."}},{"status":"public","_id":"45946","publisher":"Wiley","page":"518-554","volume":34,"user_id":"100441","citation":{"bibtex":"@article{Kovács_Power Guerra_2017, title={Maximum norm stability and error estimates for the evolving surface finite element method}, volume={34}, DOI={<a href=\"https://doi.org/10.1002/num.22212\">10.1002/num.22212</a>}, number={2}, journal={Numerical Methods for Partial Differential Equations}, publisher={Wiley}, author={Kovács, Balázs and Power Guerra, Christian Andreas}, year={2017}, pages={518–554} }","ama":"Kovács B, Power Guerra CA. Maximum norm stability and error estimates for the evolving surface finite element method. <i>Numerical Methods for Partial Differential Equations</i>. 2017;34(2):518-554. doi:<a href=\"https://doi.org/10.1002/num.22212\">10.1002/num.22212</a>","mla":"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>, vol. 34, no. 2, Wiley, 2017, pp. 518–54, 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>.","short":"B. Kovács, C.A. Power Guerra, Numerical Methods for Partial Differential Equations 34 (2017) 518–554.","ieee":"B. Kovács and C. A. 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>.","apa":"Kovács, B., &#38; Power Guerra, C. A. (2017). Maximum norm stability and error estimates for the evolving surface finite element method. <i>Numerical Methods for Partial Differential Equations</i>, <i>34</i>(2), 518–554. <a href=\"https://doi.org/10.1002/num.22212\">https://doi.org/10.1002/num.22212</a>"},"publication_identifier":{"issn":["0749-159X"]},"author":[{"full_name":"Kovács, Balázs","last_name":"Kovács","first_name":"Balázs","orcid":"0000-0001-9872-3474","id":"100441"},{"first_name":"Christian Andreas","last_name":"Power Guerra","full_name":"Power Guerra, Christian Andreas"}],"year":"2017","title":"Maximum norm stability and error estimates for the evolving surface finite element method","intvolume":"        34","publication_status":"published","date_updated":"2024-04-03T09:22:00Z","language":[{"iso":"eng"}],"doi":"10.1002/num.22212","issue":"2","publication":"Numerical Methods for Partial Differential Equations","date_created":"2023-07-10T11:40:24Z","department":[{"_id":"841"}],"keyword":["Applied Mathematics","Computational Mathematics","Numerical Analysis","Analysis"],"type":"journal_article"}]