[{"supervisor":[{"full_name":"Lauterbach, Reiner","last_name":"Lauterbach","first_name":"Reiner"}],"citation":{"chicago":"Schwenker, Sören. <i>Genericity in Network Dynamics</i>. Hamburg: Universität Hamburg, 2019.","short":"S. Schwenker, Genericity in Network Dynamics, Universität Hamburg, Hamburg, 2019.","ieee":"S. Schwenker, <i>Genericity in Network Dynamics</i>. Hamburg: Universität Hamburg, 2019.","apa":"Schwenker, S. (2019). <i>Genericity in Network Dynamics</i>. Universität Hamburg.","bibtex":"@book{Schwenker_2019, place={Hamburg}, title={Genericity in Network Dynamics}, publisher={Universität Hamburg}, author={Schwenker, Sören}, year={2019} }","ama":"Schwenker S. <i>Genericity in Network Dynamics</i>. Universität Hamburg; 2019.","mla":"Schwenker, Sören. <i>Genericity in Network Dynamics</i>. Universität Hamburg, 2019."},"abstract":[{"text":"This thesis deals with the investigation of dynamical properties – in particular generic synchrony breaking bifurcations – that are inherent to the structure of a semigroup network as well the numerous algebraic structures that are related to these types of networks. Most notably we investigate the interplay between network dynamics and monoid representation theory as induced by the fundamental network construction in terms of hidden symmetry as introduced by RINK and SANDERS.\r\n\r\nAfter providing a brief survey of the field of network dynamics in Part I, we thoroughly introduce the formalism of semigroup networks, the customized dynamical systems theory, and the necessary background from monoid representation theory in Chapters 3 and 4. The remainder of Part II investigates generic synchrony breaking bifurcations and contains three major results. The first is Theorem 5.11, which shows that generic symmetry breaking steady state bifurcations in monoid equivariant dynamics occur along absolutely indecomposable subrepresentations – a natural generalization of the corresponding statement for group equivariant dynamics. Then Theorem 7.12 relates the decomposition of a representation given by a network with high-dimensional internal phase spaces to that induced by the same network with one-dimensional internal phase spaces. This result is used to show that there is a smallest dimension of internal dynamics in which all generic l-parameter bifurcations of a fundamental network can be observed (Theorem 7.24).\r\n\r\nIn Part III, we employ the machinery that was summarized and further developed in Part II to feedforward networks. We propose a general definition of this structural feature of a network and show that it can equivalently be characterized in different algebraic notions in Theorem 8.35. These are then exploited to fully classify the corresponding monoid representation for any feedforward network and to classify generic synchrony breaking steady state bifurcations with one- or highdimensional internal dynamics.","lang":"eng"}],"extern":"1","place":"Hamburg","date_created":"2022-09-06T11:41:13Z","oa":"1","type":"dissertation","author":[{"first_name":"Sören","last_name":"Schwenker","orcid":"0000-0002-8054-2058","full_name":"Schwenker, Sören","id":"97359"}],"status":"public","year":"2019","title":"Genericity in Network Dynamics","date_updated":"2022-09-07T08:32:14Z","_id":"33265","publisher":"Universität Hamburg","language":[{"iso":"eng"}],"main_file_link":[{"url":"https://ediss.sub.uni-hamburg.de/handle/ediss/6159","open_access":"1"}],"user_id":"97359"},{"date_created":"2023-07-10T11:40:56Z","keyword":["Applied Mathematics","Computational Mathematics"],"type":"journal_article","department":[{"_id":"841"}],"issue":"4","publication":"Numerische Mathematik","language":[{"iso":"eng"}],"doi":"10.1007/s00211-019-01074-2","title":"A convergent evolving finite element algorithm for mean curvature flow of closed surfaces","year":"2019","author":[{"full_name":"Kovács, Balázs","orcid":"0000-0001-9872-3474","last_name":"Kovács","first_name":"Balázs","id":"100441"},{"first_name":"Buyang","last_name":"Li","full_name":"Li, Buyang"},{"full_name":"Lubich, Christian","first_name":"Christian","last_name":"Lubich"}],"publication_identifier":{"issn":["0029-599X","0945-3245"]},"date_updated":"2024-04-03T09:21:40Z","publication_status":"published","intvolume":"       143","citation":{"ama":"Kovács B, Li B, Lubich C. A convergent evolving finite element algorithm for mean curvature flow of closed surfaces. <i>Numerische Mathematik</i>. 2019;143(4):797-853. doi:<a href=\"https://doi.org/10.1007/s00211-019-01074-2\">10.1007/s00211-019-01074-2</a>","bibtex":"@article{Kovács_Li_Lubich_2019, title={A convergent evolving finite element algorithm for mean curvature flow of closed surfaces}, volume={143}, DOI={<a href=\"https://doi.org/10.1007/s00211-019-01074-2\">10.1007/s00211-019-01074-2</a>}, number={4}, journal={Numerische Mathematik}, publisher={Springer Science and Business Media LLC}, author={Kovács, Balázs and Li, Buyang and Lubich, Christian}, year={2019}, pages={797–853} }","mla":"Kovács, Balázs, et al. “A Convergent Evolving Finite Element Algorithm for Mean Curvature Flow of Closed Surfaces.” <i>Numerische Mathematik</i>, vol. 143, no. 4, Springer Science and Business Media LLC, 2019, pp. 797–853, doi:<a href=\"https://doi.org/10.1007/s00211-019-01074-2\">10.1007/s00211-019-01074-2</a>.","chicago":"Kovács, Balázs, Buyang Li, and Christian Lubich. “A Convergent Evolving Finite Element Algorithm for Mean Curvature Flow of Closed Surfaces.” <i>Numerische Mathematik</i> 143, no. 4 (2019): 797–853. <a href=\"https://doi.org/10.1007/s00211-019-01074-2\">https://doi.org/10.1007/s00211-019-01074-2</a>.","short":"B. Kovács, B. Li, C. Lubich, Numerische Mathematik 143 (2019) 797–853.","apa":"Kovács, B., Li, B., &#38; Lubich, C. (2019). A convergent evolving finite element algorithm for mean curvature flow of closed surfaces. <i>Numerische Mathematik</i>, <i>143</i>(4), 797–853. <a href=\"https://doi.org/10.1007/s00211-019-01074-2\">https://doi.org/10.1007/s00211-019-01074-2</a>","ieee":"B. Kovács, B. Li, and C. Lubich, “A convergent evolving finite element algorithm for mean curvature flow of closed surfaces,” <i>Numerische Mathematik</i>, vol. 143, no. 4, pp. 797–853, 2019, doi: <a href=\"https://doi.org/10.1007/s00211-019-01074-2\">10.1007/s00211-019-01074-2</a>."},"page":"797-853","_id":"45948","publisher":"Springer Science and Business Media LLC","user_id":"100441","volume":143,"status":"public"},{"external_id":{"arxiv":["1802.08490"]},"citation":{"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>","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>.","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>.","short":"S. Schwenker, SIAM Journal on Mathematical Analysis 50 (2018) 2466–2485.","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>.","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>","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} }"},"_id":"33261","publisher":"Society for Industrial & Applied Mathematics (SIAM)","page":"2466-2485","volume":50,"user_id":"97359","status":"public","date_created":"2022-09-06T11:24:18Z","keyword":["Applied Mathematics","Computational Mathematics","Analysis"],"type":"journal_article","issue":"3","publication":"SIAM Journal on Mathematical Analysis","extern":"1","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"}],"language":[{"iso":"eng"}],"doi":"10.1137/17m116118x","publication_identifier":{"issn":["0036-1410","1095-7154"]},"author":[{"first_name":"Sören","orcid":"0000-0002-8054-2058","last_name":"Schwenker","full_name":"Schwenker, Sören","id":"97359"}],"title":"Generic Steady State Bifurcations in Monoid Equivariant Dynamics with Applications in Homogeneous Coupled Cell Systems","year":"2018","intvolume":"        50","publication_status":"published","date_updated":"2022-09-07T08:32:56Z"},{"user_id":"100441","main_file_link":[{"open_access":"1","url":"https://na.uni-tuebingen.de/~kovacs/BKovacs_habilitation.pdf"}],"language":[{"iso":"eng"}],"_id":"45974","publication_status":"published","date_updated":"2024-04-03T09:14:36Z","year":"2018","status":"public","title":"Numerical analysis of partial differential equations on and of evolving surfaces","author":[{"id":"100441","last_name":"Kovács","orcid":"0000-0001-9872-3474","first_name":"Balázs","full_name":"Kovács, Balázs"}],"type":"habilitation","department":[{"_id":"841"}],"oa":"1","date_created":"2023-07-10T12:37:48Z","place":"Tübingen, Germany","extern":"1","citation":{"bibtex":"@book{Kovács_2018, place={Tübingen, Germany}, title={Numerical analysis of partial differential equations on and of evolving surfaces}, author={Kovács, Balázs}, year={2018} }","ama":"Kovács B. <i>Numerical Analysis of Partial Differential Equations on and of Evolving Surfaces</i>.; 2018.","mla":"Kovács, Balázs. <i>Numerical Analysis of Partial Differential Equations on and of Evolving Surfaces</i>. 2018.","chicago":"Kovács, Balázs. <i>Numerical Analysis of Partial Differential Equations on and of Evolving Surfaces</i>. Tübingen, Germany, 2018.","short":"B. Kovács, Numerical Analysis of Partial Differential Equations on and of Evolving Surfaces, Tübingen, Germany, 2018.","ieee":"B. Kovács, <i>Numerical analysis of partial differential equations on and of evolving surfaces</i>. Tübingen, Germany, 2018.","apa":"Kovács, B. (2018). <i>Numerical analysis of partial differential equations on and of evolving surfaces</i>."},"supervisor":[{"last_name":"Lubich","first_name":"Christian","full_name":"Lubich, Christian"}]},{"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"},{"id":"100441","orcid":"0000-0001-9872-3474","last_name":"Kovács","first_name":"Balázs","full_name":"Kovács, Balázs"},{"full_name":"Korotov, Sergey","last_name":"Korotov","first_name":"Sergey"}],"date_updated":"2024-04-03T09:21:21Z","publication_status":"published","intvolume":"        40","date_created":"2023-07-10T11:41:27Z","keyword":["Applied Mathematics","Computational Mathematics","General Mathematics"],"type":"journal_article","department":[{"_id":"841"}],"issue":"2","publication":"IMA Journal of Numerical Analysis","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>"}],"page":"1241-1265","_id":"45950","publisher":"Oxford University Press (OUP)","user_id":"100441","volume":40,"status":"public","citation":{"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>","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>","short":"J. Karátson, B. Kovács, S. Korotov, IMA Journal of Numerical Analysis 40 (2018) 1241–1265.","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>."}},{"citation":{"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>","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>.","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.","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>"},"_id":"45949","publisher":"Oxford University Press (OUP)","page":"1241-1265","volume":40,"user_id":"100441","status":"public","date_created":"2023-07-10T11:41:19Z","department":[{"_id":"841"}],"keyword":["Applied Mathematics","Computational Mathematics","General Mathematics"],"type":"journal_article","issue":"2","publication":"IMA Journal of Numerical Analysis","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>"}],"language":[{"iso":"eng"}],"doi":"10.1093/imanum/dry086","publication_identifier":{"issn":["0272-4979","1464-3642"]},"author":[{"full_name":"Karátson, János","first_name":"János","last_name":"Karátson"},{"first_name":"Balázs","last_name":"Kovács","full_name":"Kovács, Balázs"},{"full_name":"Korotov, Sergey","first_name":"Sergey","last_name":"Korotov"}],"year":"2018","title":"Discrete maximum principles for nonlinear elliptic finite element problems on surfaces with boundary","intvolume":"        40","publication_status":"published","date_updated":"2024-04-03T09:21:29Z"},{"doi":"10.1007/s00211-018-0962-6","language":[{"iso":"eng"}],"date_updated":"2024-04-03T09:21:48Z","publication_status":"published","intvolume":"       140","year":"2018","title":"Linearly implicit full discretization of surface evolution","publication_identifier":{"issn":["0029-599X","0945-3245"]},"author":[{"first_name":"Balázs","last_name":"Kovács","orcid":"0000-0001-9872-3474","full_name":"Kovács, 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":"2023-07-10T11:40:40Z","publication":"Numerische Mathematik","issue":"1","user_id":"100441","volume":140,"page":"121-152","_id":"45947","publisher":"Springer Science and Business Media LLC","status":"public","citation":{"short":"B. Kovács, C. Lubich, Numerische Mathematik 140 (2018) 121–152.","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>.","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>.","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} }","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>."}},{"language":[{"iso":"eng"}],"doi":"10.1002/num.22340","publication_identifier":{"issn":["0749-159X","1098-2426"]},"author":[{"first_name":"Balázs","last_name":"Kovács","orcid":"0000-0001-9872-3474","full_name":"Kovács, Balázs","id":"100441"}],"year":"2018","title":"Computing arbitrary Lagrangian Eulerian maps for evolving surfaces","intvolume":"        35","date_updated":"2024-04-03T09:21:13Z","publication_status":"published","date_created":"2023-07-10T11:41:54Z","department":[{"_id":"841"}],"type":"journal_article","keyword":["Applied Mathematics","Computational Mathematics","Numerical Analysis","Analysis"],"publication":"Numerical Methods for Partial Differential Equations","issue":"3","_id":"45951","publisher":"Wiley","page":"1093-1112","volume":35,"user_id":"100441","status":"public","citation":{"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>","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>."}},{"citation":{"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>.","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>","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} }","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>","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>.","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."},"status":"public","volume":137,"user_id":"100441","_id":"45941","publisher":"Springer Science and Business Media LLC","page":"643-689","publication":"Numerische Mathematik","issue":"3","department":[{"_id":"841"}],"type":"journal_article","keyword":["Applied Mathematics","Computational Mathematics"],"date_created":"2023-07-10T11:38:48Z","intvolume":"       137","publication_status":"published","date_updated":"2024-04-03T09:22:43Z","publication_identifier":{"issn":["0029-599X","0945-3245"]},"author":[{"first_name":"Balázs","orcid":"0000-0001-9872-3474","last_name":"Kovács","full_name":"Kovács, Balázs","id":"100441"},{"last_name":"Li","first_name":"Buyang","full_name":"Li, Buyang"},{"full_name":"Lubich, Christian","last_name":"Lubich","first_name":"Christian"},{"last_name":"Power Guerra","first_name":"Christian A.","full_name":"Power Guerra, Christian A."}],"year":"2017","title":"Convergence of finite elements on an evolving surface driven by diffusion on the surface","doi":"10.1007/s00211-017-0888-4","language":[{"iso":"eng"}]},{"publication_status":"published","date_updated":"2024-04-03T09:22:34Z","intvolume":"       138","title":"Stability and convergence of time discretizations of quasi-linear evolution equations of Kato type","year":"2017","author":[{"full_name":"Kovács, Balázs","orcid":"0000-0001-9872-3474","last_name":"Kovács","first_name":"Balázs","id":"100441"},{"full_name":"Lubich, Christian","first_name":"Christian","last_name":"Lubich"}],"publication_identifier":{"issn":["0029-599X","0945-3245"]},"doi":"10.1007/s00211-017-0909-3","language":[{"iso":"eng"}],"publication":"Numerische Mathematik","issue":"2","keyword":["Applied Mathematics","Computational Mathematics"],"type":"journal_article","department":[{"_id":"841"}],"date_created":"2023-07-10T11:39:05Z","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>.","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>.","short":"B. Kovács, C. Lubich, Numerische Mathematik 138 (2017) 365–388.","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} }"}},{"doi":"10.1007/s00211-017-0868-8","language":[{"iso":"eng"}],"publication_status":"published","date_updated":"2024-04-03T09:22:51Z","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":[{"last_name":"Kovács","orcid":"0000-0001-9872-3474","first_name":"Balázs","full_name":"Kovács, Balázs","id":"100441"},{"first_name":"Christian","last_name":"Lubich","full_name":"Lubich, Christian"}],"keyword":["Applied Mathematics","Computational Mathematics"],"type":"journal_article","department":[{"_id":"841"}],"date_created":"2023-07-10T11:38:34Z","publication":"Numerische Mathematik","issue":"1","user_id":"100441","volume":137,"page":"91-117","_id":"45940","publisher":"Springer Science and Business Media LLC","status":"public","citation":{"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} }","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>","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>.","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>.","short":"B. Kovács, C. Lubich, Numerische Mathematik 137 (2017) 91–117.","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>.","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>"}},{"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>.","short":"B. Kovács, C.A. Power Guerra, Numerical Methods for Partial Differential Equations 34 (2017) 518–554.","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>.","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>"},"_id":"45946","publisher":"Wiley","page":"518-554","volume":34,"user_id":"100441","status":"public","date_created":"2023-07-10T11:40:24Z","department":[{"_id":"841"}],"type":"journal_article","keyword":["Applied Mathematics","Computational Mathematics","Numerical Analysis","Analysis"],"issue":"2","publication":"Numerical Methods for Partial Differential Equations","language":[{"iso":"eng"}],"doi":"10.1002/num.22212","author":[{"id":"100441","full_name":"Kovács, Balázs","first_name":"Balázs","orcid":"0000-0001-9872-3474","last_name":"Kovács"},{"last_name":"Power Guerra","first_name":"Christian Andreas","full_name":"Power Guerra, Christian Andreas"}],"publication_identifier":{"issn":["0749-159X"]},"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"},{"publication":"IMA Journal of Numerical Analysis","issue":"1","date_created":"2023-07-10T11:39:23Z","keyword":["Applied Mathematics","Computational Mathematics","General Mathematics"],"type":"journal_article","department":[{"_id":"841"}],"title":"High-order evolving surface finite element method for parabolic problems on evolving surfaces","year":"2017","author":[{"last_name":"Kovács","first_name":"Balázs","orcid":"0000-0001-9872-3474","full_name":"Kovács, Balázs","id":"100441"}],"publication_identifier":{"issn":["0272-4979","1464-3642"]},"publication_status":"published","date_updated":"2024-04-03T09:22:26Z","intvolume":"        38","language":[{"iso":"eng"}],"doi":"10.1093/imanum/drx013","citation":{"short":"B. Kovács, IMA Journal of Numerical Analysis 38 (2017) 430–459.","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>.","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>","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>.","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>","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} }","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>."},"status":"public","page":"430-459","_id":"45943","publisher":"Oxford University Press (OUP)","user_id":"100441","volume":38},{"doi":"10.1002/num.22212","language":[{"iso":"eng"}],"date_updated":"2024-04-03T09:22:09Z","publication_status":"published","intvolume":"        34","title":"Maximum norm stability and error estimates for the evolving surface finite element method","year":"2017","author":[{"first_name":"Balázs","last_name":"Kovács","full_name":"Kovács, Balázs"},{"first_name":"Christian Andreas","last_name":"Power Guerra","full_name":"Power Guerra, Christian Andreas"}],"publication_identifier":{"issn":["0749-159X"]},"type":"journal_article","keyword":["Applied Mathematics","Computational Mathematics","Numerical Analysis","Analysis"],"department":[{"_id":"841"}],"date_created":"2023-07-10T11:40:00Z","issue":"2","publication":"Numerical Methods for Partial Differential Equations","user_id":"100441","volume":34,"page":"518-554","_id":"45945","publisher":"Wiley","status":"public","citation":{"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>.","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>","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>","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."}},{"external_id":{"arxiv":["1511.00545"]},"citation":{"chicago":"Lauterbach, Reiner, and Sören Schwenker. “Equivariant Bifurcations in Four-Dimensional Fixed Point Spaces.” <i>Dynamical Systems</i> 32, no. 1 (2016): 117–47. <a href=\"https://doi.org/10.1080/14689367.2016.1219696\">https://doi.org/10.1080/14689367.2016.1219696</a>.","short":"R. Lauterbach, S. Schwenker, Dynamical Systems 32 (2016) 117–147.","ieee":"R. Lauterbach and S. Schwenker, “Equivariant bifurcations in four-dimensional fixed point spaces,” <i>Dynamical Systems</i>, vol. 32, no. 1, pp. 117–147, 2016, doi: <a href=\"https://doi.org/10.1080/14689367.2016.1219696\">10.1080/14689367.2016.1219696</a>.","apa":"Lauterbach, R., &#38; Schwenker, S. (2016). Equivariant bifurcations in four-dimensional fixed point spaces. <i>Dynamical Systems</i>, <i>32</i>(1), 117–147. <a href=\"https://doi.org/10.1080/14689367.2016.1219696\">https://doi.org/10.1080/14689367.2016.1219696</a>","bibtex":"@article{Lauterbach_Schwenker_2016, title={Equivariant bifurcations in four-dimensional fixed point spaces}, volume={32}, DOI={<a href=\"https://doi.org/10.1080/14689367.2016.1219696\">10.1080/14689367.2016.1219696</a>}, number={1}, journal={Dynamical Systems}, publisher={Informa UK Limited}, author={Lauterbach, Reiner and Schwenker, Sören}, year={2016}, pages={117–147} }","ama":"Lauterbach R, Schwenker S. Equivariant bifurcations in four-dimensional fixed point spaces. <i>Dynamical Systems</i>. 2016;32(1):117-147. doi:<a href=\"https://doi.org/10.1080/14689367.2016.1219696\">10.1080/14689367.2016.1219696</a>","mla":"Lauterbach, Reiner, and Sören Schwenker. “Equivariant Bifurcations in Four-Dimensional Fixed Point Spaces.” <i>Dynamical Systems</i>, vol. 32, no. 1, Informa UK Limited, 2016, pp. 117–47, doi:<a href=\"https://doi.org/10.1080/14689367.2016.1219696\">10.1080/14689367.2016.1219696</a>."},"user_id":"97359","volume":32,"page":"117-147","_id":"33260","publisher":"Informa UK Limited","status":"public","keyword":["Computer Science Applications","General Mathematics"],"type":"journal_article","date_created":"2022-09-06T11:22:12Z","abstract":[{"text":"In this paper we continue the study of group representations which are counterexamples to the Ize conjecture. As in previous papers we find new infinite series of finite groups leading to such counterexamples. These new series are quite different from the previous ones, for example the group orders do not form an arithmetic progression. However, as before we find Lie groups which contain all these groups. This additional structure was observed, but not used in the previous studies of this problem. Here we also investigate the related bifurcations. To a large extent, these are closely related to the presence of mentioned compact Lie group containing the finite groups. This might give a tool to study the bifurcations related to all low dimensional counterexamples of the Ize conjecture. It also gives an indication of where we can expect to find examples where the bifurcation behaviour is different from what we have seen in the known examples.","lang":"eng"}],"extern":"1","publication":"Dynamical Systems","issue":"1","doi":"10.1080/14689367.2016.1219696","language":[{"iso":"eng"}],"date_updated":"2022-09-07T08:33:36Z","publication_status":"published","intvolume":"        32","year":"2016","title":"Equivariant bifurcations in four-dimensional fixed point spaces","author":[{"full_name":"Lauterbach, Reiner","first_name":"Reiner","last_name":"Lauterbach"},{"full_name":"Schwenker, Sören","first_name":"Sören","last_name":"Schwenker","orcid":"0000-0002-8054-2058","id":"97359"}],"publication_identifier":{"issn":["1468-9367","1468-9375"]}},{"status":"public","page":"460-494","_id":"45944","publisher":"Oxford University Press (OUP)","user_id":"100441","volume":38,"citation":{"mla":"Kovács, Balázs, and Christian Andreas Power Guerra. “Higher Order Time Discretizations with ALE Finite Elements for Parabolic Problems on Evolving Surfaces.” <i>IMA Journal of Numerical Analysis</i>, vol. 38, no. 1, Oxford University Press (OUP), 2016, pp. 460–94, doi:<a href=\"https://doi.org/10.1093/imanum/drw074\">10.1093/imanum/drw074</a>.","bibtex":"@article{Kovács_Power Guerra_2016, title={Higher order time discretizations with ALE finite elements for parabolic problems on evolving surfaces}, volume={38}, DOI={<a href=\"https://doi.org/10.1093/imanum/drw074\">10.1093/imanum/drw074</a>}, number={1}, journal={IMA Journal of Numerical Analysis}, publisher={Oxford University Press (OUP)}, author={Kovács, Balázs and Power Guerra, Christian Andreas}, year={2016}, pages={460–494} }","ama":"Kovács B, Power Guerra CA. Higher order time discretizations with ALE finite elements for parabolic problems on evolving surfaces. <i>IMA Journal of Numerical Analysis</i>. 2016;38(1):460-494. doi:<a href=\"https://doi.org/10.1093/imanum/drw074\">10.1093/imanum/drw074</a>","ieee":"B. Kovács and C. A. Power Guerra, “Higher order time discretizations with ALE finite elements for parabolic problems on evolving surfaces,” <i>IMA Journal of Numerical Analysis</i>, vol. 38, no. 1, pp. 460–494, 2016, doi: <a href=\"https://doi.org/10.1093/imanum/drw074\">10.1093/imanum/drw074</a>.","apa":"Kovács, B., &#38; Power Guerra, C. A. (2016). Higher order time discretizations with ALE finite elements for parabolic problems on evolving surfaces. <i>IMA Journal of Numerical Analysis</i>, <i>38</i>(1), 460–494. <a href=\"https://doi.org/10.1093/imanum/drw074\">https://doi.org/10.1093/imanum/drw074</a>","chicago":"Kovács, Balázs, and Christian Andreas Power Guerra. “Higher Order Time Discretizations with ALE Finite Elements for Parabolic Problems on Evolving Surfaces.” <i>IMA Journal of Numerical Analysis</i> 38, no. 1 (2016): 460–94. <a href=\"https://doi.org/10.1093/imanum/drw074\">https://doi.org/10.1093/imanum/drw074</a>.","short":"B. Kovács, C.A. Power Guerra, IMA Journal of Numerical Analysis 38 (2016) 460–494."},"title":"Higher order time discretizations with ALE finite elements for parabolic problems on evolving surfaces","year":"2016","publication_identifier":{"issn":["0272-4979","1464-3642"]},"author":[{"id":"100441","orcid":"0000-0001-9872-3474","last_name":"Kovács","first_name":"Balázs","full_name":"Kovács, Balázs"},{"full_name":"Power Guerra, Christian Andreas","last_name":"Power Guerra","first_name":"Christian Andreas"}],"date_updated":"2024-04-03T09:22:19Z","publication_status":"published","intvolume":"        38","language":[{"iso":"eng"}],"doi":"10.1093/imanum/drw074","issue":"1","publication":"IMA Journal of Numerical Analysis","date_created":"2023-07-10T11:39:39Z","type":"journal_article","keyword":["Applied Mathematics","Computational Mathematics","General Mathematics"],"department":[{"_id":"841"}]},{"language":[{"iso":"eng"}],"doi":"10.1002/num.22047","alternative_title":["Error Analysis for Quasilinear Problems on Evolving Surfaces"],"year":"2016","title":"Error analysis for full discretizations of quasilinear parabolic problems on evolving surfaces","author":[{"id":"100441","first_name":"Balázs","orcid":"0000-0001-9872-3474","last_name":"Kovács","full_name":"Kovács, Balázs"},{"full_name":"Power Guerra, Christian Andreas","last_name":"Power Guerra","first_name":"Christian Andreas"}],"publication_identifier":{"issn":["0749-159X"]},"publication_status":"published","date_updated":"2024-04-03T09:23:28Z","intvolume":"        32","date_created":"2023-07-10T11:35:34Z","type":"journal_article","keyword":["Applied Mathematics","Computational Mathematics","Numerical Analysis","Analysis"],"department":[{"_id":"841"}],"issue":"4","publication":"Numerical Methods for Partial Differential Equations","page":"1200-1231","publisher":"Wiley","_id":"45936","user_id":"100441","volume":32,"status":"public","citation":{"short":"B. Kovács, C.A. Power Guerra, Numerical Methods for Partial Differential Equations 32 (2016) 1200–1231.","chicago":"Kovács, Balázs, and Christian Andreas Power Guerra. “Error Analysis for Full Discretizations of Quasilinear Parabolic Problems on Evolving Surfaces.” <i>Numerical Methods for Partial Differential Equations</i> 32, no. 4 (2016): 1200–1231. <a href=\"https://doi.org/10.1002/num.22047\">https://doi.org/10.1002/num.22047</a>.","ieee":"B. Kovács and C. A. Power Guerra, “Error analysis for full discretizations of quasilinear parabolic problems on evolving surfaces,” <i>Numerical Methods for Partial Differential Equations</i>, vol. 32, no. 4, pp. 1200–1231, 2016, doi: <a href=\"https://doi.org/10.1002/num.22047\">10.1002/num.22047</a>.","apa":"Kovács, B., &#38; Power Guerra, C. A. (2016). Error analysis for full discretizations of quasilinear parabolic problems on evolving surfaces. <i>Numerical Methods for Partial Differential Equations</i>, <i>32</i>(4), 1200–1231. <a href=\"https://doi.org/10.1002/num.22047\">https://doi.org/10.1002/num.22047</a>","bibtex":"@article{Kovács_Power Guerra_2016, title={Error analysis for full discretizations of quasilinear parabolic problems on evolving surfaces}, volume={32}, DOI={<a href=\"https://doi.org/10.1002/num.22047\">10.1002/num.22047</a>}, number={4}, journal={Numerical Methods for Partial Differential Equations}, publisher={Wiley}, author={Kovács, Balázs and Power Guerra, Christian Andreas}, year={2016}, pages={1200–1231} }","ama":"Kovács B, Power Guerra CA. Error analysis for full discretizations of quasilinear parabolic problems on evolving surfaces. <i>Numerical Methods for Partial Differential Equations</i>. 2016;32(4):1200-1231. doi:<a href=\"https://doi.org/10.1002/num.22047\">10.1002/num.22047</a>","mla":"Kovács, Balázs, and Christian Andreas Power Guerra. “Error Analysis for Full Discretizations of Quasilinear Parabolic Problems on Evolving Surfaces.” <i>Numerical Methods for Partial Differential Equations</i>, vol. 32, no. 4, Wiley, 2016, pp. 1200–31, doi:<a href=\"https://doi.org/10.1002/num.22047\">10.1002/num.22047</a>."}},{"status":"public","_id":"45939","publisher":"Society for Industrial & Applied Mathematics (SIAM)","page":"3600-3624","volume":54,"user_id":"100441","citation":{"chicago":"Kovács, Balázs, Buyang Li, and Christian Lubich. “A-Stable Time Discretizations Preserve Maximal Parabolic Regularity.” <i>SIAM Journal on Numerical Analysis</i> 54, no. 6 (2016): 3600–3624. <a href=\"https://doi.org/10.1137/15m1040918\">https://doi.org/10.1137/15m1040918</a>.","short":"B. Kovács, B. Li, C. Lubich, SIAM Journal on Numerical Analysis 54 (2016) 3600–3624.","ieee":"B. Kovács, B. Li, and C. Lubich, “A-Stable Time Discretizations Preserve Maximal Parabolic Regularity,” <i>SIAM Journal on Numerical Analysis</i>, vol. 54, no. 6, pp. 3600–3624, 2016, doi: <a href=\"https://doi.org/10.1137/15m1040918\">10.1137/15m1040918</a>.","apa":"Kovács, B., Li, B., &#38; Lubich, C. (2016). A-Stable Time Discretizations Preserve Maximal Parabolic Regularity. <i>SIAM Journal on Numerical Analysis</i>, <i>54</i>(6), 3600–3624. <a href=\"https://doi.org/10.1137/15m1040918\">https://doi.org/10.1137/15m1040918</a>","bibtex":"@article{Kovács_Li_Lubich_2016, title={A-Stable Time Discretizations Preserve Maximal Parabolic Regularity}, volume={54}, DOI={<a href=\"https://doi.org/10.1137/15m1040918\">10.1137/15m1040918</a>}, number={6}, journal={SIAM Journal on Numerical Analysis}, publisher={Society for Industrial &#38; Applied Mathematics (SIAM)}, author={Kovács, Balázs and Li, Buyang and Lubich, Christian}, year={2016}, pages={3600–3624} }","ama":"Kovács B, Li B, Lubich C. A-Stable Time Discretizations Preserve Maximal Parabolic Regularity. <i>SIAM Journal on Numerical Analysis</i>. 2016;54(6):3600-3624. doi:<a href=\"https://doi.org/10.1137/15m1040918\">10.1137/15m1040918</a>","mla":"Kovács, Balázs, et al. “A-Stable Time Discretizations Preserve Maximal Parabolic Regularity.” <i>SIAM Journal on Numerical Analysis</i>, vol. 54, no. 6, Society for Industrial &#38; Applied Mathematics (SIAM), 2016, pp. 3600–24, doi:<a href=\"https://doi.org/10.1137/15m1040918\">10.1137/15m1040918</a>."},"publication_identifier":{"issn":["0036-1429","1095-7170"]},"author":[{"orcid":"0000-0001-9872-3474","last_name":"Kovács","first_name":"Balázs","full_name":"Kovács, Balázs","id":"100441"},{"full_name":"Li, Buyang","first_name":"Buyang","last_name":"Li"},{"full_name":"Lubich, Christian","last_name":"Lubich","first_name":"Christian"}],"year":"2016","title":"A-Stable Time Discretizations Preserve Maximal Parabolic Regularity","intvolume":"        54","publication_status":"published","date_updated":"2024-04-03T09:23:00Z","language":[{"iso":"eng"}],"doi":"10.1137/15m1040918","publication":"SIAM Journal on Numerical Analysis","issue":"6","date_created":"2023-07-10T11:38:15Z","department":[{"_id":"841"}],"keyword":["Numerical Analysis","Applied Mathematics","Computational Mathematics"],"type":"journal_article"},{"publication_status":"published","date_updated":"2024-04-03T09:23:16Z","intvolume":"        37","title":"Numerical analysis of parabolic problems with dynamic boundary conditions","year":"2016","publication_identifier":{"issn":["0272-4979","1464-3642"]},"author":[{"last_name":"Kovács","orcid":"0000-0001-9872-3474","first_name":"Balázs","full_name":"Kovács, Balázs","id":"100441"},{"full_name":"Lubich, Christian","last_name":"Lubich","first_name":"Christian"}],"doi":"10.1093/imanum/drw015","language":[{"iso":"eng"}],"publication":"IMA Journal of Numerical Analysis","issue":"1","type":"journal_article","keyword":["Applied Mathematics","Computational Mathematics","General Mathematics"],"department":[{"_id":"841"}],"date_created":"2023-07-10T11:35:53Z","status":"public","user_id":"100441","volume":37,"page":"1-39","_id":"45937","publisher":"Oxford University Press (OUP)","citation":{"ama":"Kovács B, Lubich C. Numerical analysis of parabolic problems with dynamic boundary conditions. <i>IMA Journal of Numerical Analysis</i>. 2016;37(1):1-39. doi:<a href=\"https://doi.org/10.1093/imanum/drw015\">10.1093/imanum/drw015</a>","bibtex":"@article{Kovács_Lubich_2016, title={Numerical analysis of parabolic problems with dynamic boundary conditions}, volume={37}, DOI={<a href=\"https://doi.org/10.1093/imanum/drw015\">10.1093/imanum/drw015</a>}, number={1}, journal={IMA Journal of Numerical Analysis}, publisher={Oxford University Press (OUP)}, author={Kovács, Balázs and Lubich, Christian}, year={2016}, pages={1–39} }","mla":"Kovács, Balázs, and Christian Lubich. “Numerical Analysis of Parabolic Problems with Dynamic Boundary Conditions.” <i>IMA Journal of Numerical Analysis</i>, vol. 37, no. 1, Oxford University Press (OUP), 2016, pp. 1–39, doi:<a href=\"https://doi.org/10.1093/imanum/drw015\">10.1093/imanum/drw015</a>.","chicago":"Kovács, Balázs, and Christian Lubich. “Numerical Analysis of Parabolic Problems with Dynamic Boundary Conditions.” <i>IMA Journal of Numerical Analysis</i> 37, no. 1 (2016): 1–39. <a href=\"https://doi.org/10.1093/imanum/drw015\">https://doi.org/10.1093/imanum/drw015</a>.","short":"B. Kovács, C. Lubich, IMA Journal of Numerical Analysis 37 (2016) 1–39.","apa":"Kovács, B., &#38; Lubich, C. (2016). Numerical analysis of parabolic problems with dynamic boundary conditions. <i>IMA Journal of Numerical Analysis</i>, <i>37</i>(1), 1–39. <a href=\"https://doi.org/10.1093/imanum/drw015\">https://doi.org/10.1093/imanum/drw015</a>","ieee":"B. Kovács and C. Lubich, “Numerical analysis of parabolic problems with dynamic boundary conditions,” <i>IMA Journal of Numerical Analysis</i>, vol. 37, no. 1, pp. 1–39, 2016, doi: <a href=\"https://doi.org/10.1093/imanum/drw015\">10.1093/imanum/drw015</a>."}},{"language":[{"iso":"eng"}],"_id":"45938","page":"57–70","user_id":"100441","author":[{"first_name":"J.","last_name":"Karátson","full_name":"Karátson, J."},{"last_name":"Kovács","orcid":"0000-0001-9872-3474","first_name":"Balázs","full_name":"Kovács, Balázs","id":"100441"}],"title":"A Parallel Numerical Solution Approach for Nonlinear Parabolic Systems Arising in Air Pollution Transport Problems","year":"2016","status":"public","date_updated":"2024-04-03T09:23:08Z","date_created":"2023-07-10T11:37:53Z","department":[{"_id":"841"}],"type":"conference","citation":{"bibtex":"@inproceedings{Karátson_Kovács_2016, title={A Parallel Numerical Solution Approach for Nonlinear Parabolic Systems Arising in Air Pollution Transport Problems}, booktitle={Mathematical Problems in Meteorological Modelling}, author={Karátson, J. and Kovács, Balázs}, year={2016}, pages={57–70} }","ama":"Karátson J, Kovács B. A Parallel Numerical Solution Approach for Nonlinear Parabolic Systems Arising in Air Pollution Transport Problems. In: <i>Mathematical Problems in Meteorological Modelling</i>. ; 2016:57–70.","mla":"Karátson, J., and Balázs Kovács. “A Parallel Numerical Solution Approach for Nonlinear Parabolic Systems Arising in Air Pollution Transport Problems.” <i>Mathematical Problems in Meteorological Modelling</i>, 2016, pp. 57–70.","chicago":"Karátson, J., and Balázs Kovács. “A Parallel Numerical Solution Approach for Nonlinear Parabolic Systems Arising in Air Pollution Transport Problems.” In <i>Mathematical Problems in Meteorological Modelling</i>, 57–70, 2016.","short":"J. Karátson, B. Kovács, in: Mathematical Problems in Meteorological Modelling, 2016, pp. 57–70.","ieee":"J. Karátson and B. Kovács, “A Parallel Numerical Solution Approach for Nonlinear Parabolic Systems Arising in Air Pollution Transport Problems,” in <i>Mathematical Problems in Meteorological Modelling</i>, 2016, pp. 57–70.","apa":"Karátson, J., &#38; Kovács, B. (2016). A Parallel Numerical Solution Approach for Nonlinear Parabolic Systems Arising in Air Pollution Transport Problems. <i>Mathematical Problems in Meteorological Modelling</i>, 57–70."},"publication":"Mathematical Problems in Meteorological Modelling"}]
