[{"language":[{"iso":"eng"}],"doi":"10.1137/17m116118x","author":[{"full_name":"Schwenker, Sören","last_name":"Schwenker","orcid":"0000-0002-8054-2058","first_name":"Sören","id":"97359"}],"publication_identifier":{"issn":["0036-1410","1095-7154"]},"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","date_created":"2022-09-06T11:24:18Z","type":"journal_article","keyword":["Applied Mathematics","Computational Mathematics","Analysis"],"publication":"SIAM Journal on Mathematical Analysis","issue":"3","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"}],"publisher":"Society for Industrial & Applied Mathematics (SIAM)","_id":"33261","page":"2466-2485","volume":50,"user_id":"97359","status":"public","external_id":{"arxiv":["1802.08490"]},"citation":{"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>.","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>.","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} }","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>."}},{"_id":"45974","language":[{"iso":"eng"}],"main_file_link":[{"url":"https://na.uni-tuebingen.de/~kovacs/BKovacs_habilitation.pdf","open_access":"1"}],"user_id":"100441","author":[{"full_name":"Kovács, Balázs","first_name":"Balázs","orcid":"0000-0001-9872-3474","last_name":"Kovács","id":"100441"}],"status":"public","year":"2018","title":"Numerical analysis of partial differential equations on and of evolving surfaces","publication_status":"published","date_updated":"2024-04-03T09:14:36Z","date_created":"2023-07-10T12:37:48Z","place":"Tübingen, Germany","department":[{"_id":"841"}],"oa":"1","type":"habilitation","citation":{"apa":"Kovács, B. (2018). <i>Numerical analysis of partial differential equations on and of evolving surfaces</i>.","ieee":"B. Kovács, <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.","chicago":"Kovács, Balázs. <i>Numerical Analysis of Partial Differential Equations on and of Evolving Surfaces</i>. Tübingen, Germany, 2018.","mla":"Kovács, Balázs. <i>Numerical Analysis of Partial Differential Equations on and of Evolving Surfaces</i>. 2018.","ama":"Kovács B. <i>Numerical Analysis of Partial Differential Equations on and of Evolving Surfaces</i>.; 2018.","bibtex":"@book{Kovács_2018, place={Tübingen, Germany}, title={Numerical analysis of partial differential equations on and of evolving surfaces}, author={Kovács, Balázs}, year={2018} }"},"supervisor":[{"first_name":"Christian","last_name":"Lubich","full_name":"Lubich, Christian"}],"extern":"1"},{"status":"public","volume":40,"user_id":"100441","_id":"45950","publisher":"Oxford University Press (OUP)","page":"1241-1265","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>.","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>.","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>"},"intvolume":"        40","publication_status":"published","date_updated":"2024-04-03T09:21:21Z","publication_identifier":{"issn":["0272-4979","1464-3642"]},"author":[{"full_name":"Karátson, János","last_name":"Karátson","first_name":"János"},{"full_name":"Kovács, Balázs","last_name":"Kovács","orcid":"0000-0001-9872-3474","first_name":"Balázs","id":"100441"},{"first_name":"Sergey","last_name":"Korotov","full_name":"Korotov, Sergey"}],"title":"Discrete maximum principles for nonlinear elliptic finite element problems on surfaces with boundary","year":"2018","doi":"10.1093/imanum/dry086","language":[{"iso":"eng"}],"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>"}],"publication":"IMA Journal of Numerical Analysis","issue":"2","department":[{"_id":"841"}],"type":"journal_article","keyword":["Applied Mathematics","Computational Mathematics","General Mathematics"],"date_created":"2023-07-10T11:41:27Z"},{"citation":{"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.","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} }"},"page":"121-152","_id":"45947","publisher":"Springer Science and Business Media LLC","user_id":"100441","volume":140,"status":"public","date_created":"2023-07-10T11:40:40Z","keyword":["Applied Mathematics","Computational Mathematics"],"type":"journal_article","department":[{"_id":"841"}],"issue":"1","publication":"Numerische Mathematik","language":[{"iso":"eng"}],"doi":"10.1007/s00211-018-0962-6","year":"2018","title":"Linearly implicit full discretization of surface evolution","author":[{"id":"100441","full_name":"Kovács, Balázs","orcid":"0000-0001-9872-3474","last_name":"Kovács","first_name":"Balázs"},{"last_name":"Lubich","first_name":"Christian","full_name":"Lubich, Christian"}],"publication_identifier":{"issn":["0029-599X","0945-3245"]},"publication_status":"published","date_updated":"2024-04-03T09:21:48Z","intvolume":"       140"},{"publication":"Numerical Methods for Partial Differential Equations","issue":"3","date_created":"2023-07-10T11:41:54Z","department":[{"_id":"841"}],"keyword":["Applied Mathematics","Computational Mathematics","Numerical Analysis","Analysis"],"type":"journal_article","author":[{"id":"100441","first_name":"Balázs","last_name":"Kovács","orcid":"0000-0001-9872-3474","full_name":"Kovács, Balázs"}],"publication_identifier":{"issn":["0749-159X","1098-2426"]},"year":"2018","title":"Computing arbitrary Lagrangian Eulerian maps for evolving surfaces","intvolume":"        35","publication_status":"published","date_updated":"2024-04-03T09:21:13Z","language":[{"iso":"eng"}],"doi":"10.1002/num.22340","citation":{"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>","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} }","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>.","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>","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>."},"status":"public","publisher":"Wiley","_id":"45951","page":"1093-1112","volume":35,"user_id":"100441"},{"citation":{"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>.","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>"},"_id":"45941","publisher":"Springer Science and Business Media LLC","page":"643-689","volume":137,"user_id":"100441","status":"public","date_created":"2023-07-10T11:38:48Z","department":[{"_id":"841"}],"type":"journal_article","keyword":["Applied Mathematics","Computational Mathematics"],"issue":"3","publication":"Numerische Mathematik","language":[{"iso":"eng"}],"doi":"10.1007/s00211-017-0888-4","publication_identifier":{"issn":["0029-599X","0945-3245"]},"author":[{"id":"100441","full_name":"Kovács, Balázs","first_name":"Balázs","last_name":"Kovács","orcid":"0000-0001-9872-3474"},{"first_name":"Buyang","last_name":"Li","full_name":"Li, Buyang"},{"full_name":"Lubich, Christian","last_name":"Lubich","first_name":"Christian"},{"full_name":"Power Guerra, Christian A.","first_name":"Christian A.","last_name":"Power Guerra"}],"title":"Convergence of finite elements on an evolving surface driven by diffusion on the surface","year":"2017","intvolume":"       137","date_updated":"2024-04-03T09:22:43Z","publication_status":"published"},{"language":[{"iso":"eng"}],"doi":"10.1007/s00211-017-0909-3","author":[{"full_name":"Kovács, Balázs","last_name":"Kovács","orcid":"0000-0001-9872-3474","first_name":"Balázs","id":"100441"},{"first_name":"Christian","last_name":"Lubich","full_name":"Lubich, Christian"}],"publication_identifier":{"issn":["0029-599X","0945-3245"]},"year":"2017","title":"Stability and convergence of time discretizations of quasi-linear evolution equations of Kato type","intvolume":"       138","publication_status":"published","date_updated":"2024-04-03T09:22:34Z","date_created":"2023-07-10T11:39:05Z","department":[{"_id":"841"}],"keyword":["Applied Mathematics","Computational Mathematics"],"type":"journal_article","issue":"2","publication":"Numerische Mathematik","_id":"45942","publisher":"Springer Science and Business Media LLC","page":"365-388","volume":138,"user_id":"100441","status":"public","citation":{"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} }","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>."}},{"status":"public","page":"91-117","publisher":"Springer Science and Business Media LLC","_id":"45940","user_id":"100441","volume":137,"citation":{"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>.","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.","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} }"},"year":"2017","title":"Stable and convergent fully discrete interior–exterior coupling of Maxwell’s equations","publication_identifier":{"issn":["0029-599X","0945-3245"]},"author":[{"orcid":"0000-0001-9872-3474","first_name":"Balázs","last_name":"Kovács","full_name":"Kovács, Balázs","id":"100441"},{"full_name":"Lubich, Christian","first_name":"Christian","last_name":"Lubich"}],"date_updated":"2024-04-03T09:22:51Z","publication_status":"published","intvolume":"       137","language":[{"iso":"eng"}],"doi":"10.1007/s00211-017-0868-8","publication":"Numerische Mathematik","issue":"1","date_created":"2023-07-10T11:38:34Z","type":"journal_article","keyword":["Applied Mathematics","Computational Mathematics"],"department":[{"_id":"841"}]},{"title":"Maximum norm stability and error estimates for the evolving surface finite element method","year":"2017","publication_identifier":{"issn":["0749-159X"]},"author":[{"full_name":"Kovács, Balázs","first_name":"Balázs","last_name":"Kovács","orcid":"0000-0001-9872-3474","id":"100441"},{"full_name":"Power Guerra, Christian Andreas","first_name":"Christian Andreas","last_name":"Power Guerra"}],"publication_status":"published","date_updated":"2024-04-03T09:22:00Z","intvolume":"        34","language":[{"iso":"eng"}],"doi":"10.1002/num.22212","publication":"Numerical Methods for Partial Differential Equations","issue":"2","date_created":"2023-07-10T11:40:24Z","keyword":["Applied Mathematics","Computational Mathematics","Numerical Analysis","Analysis"],"type":"journal_article","department":[{"_id":"841"}],"status":"public","page":"518-554","_id":"45946","publisher":"Wiley","user_id":"100441","volume":34,"citation":{"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>","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>."}},{"publication":"IMA Journal of Numerical Analysis","issue":"1","department":[{"_id":"841"}],"type":"journal_article","keyword":["Applied Mathematics","Computational Mathematics","General Mathematics"],"date_created":"2023-07-10T11:39:23Z","intvolume":"        38","date_updated":"2024-04-03T09:22:26Z","publication_status":"published","author":[{"full_name":"Kovács, Balázs","first_name":"Balázs","last_name":"Kovács","orcid":"0000-0001-9872-3474","id":"100441"}],"publication_identifier":{"issn":["0272-4979","1464-3642"]},"year":"2017","title":"High-order evolving surface finite element method for parabolic problems on evolving surfaces","doi":"10.1093/imanum/drx013","language":[{"iso":"eng"}],"citation":{"apa":"Kovács, B. (2017). High-order evolving surface finite element method for parabolic problems on evolving surfaces. <i>IMA Journal of Numerical Analysis</i>, <i>38</i>(1), 430–459. <a href=\"https://doi.org/10.1093/imanum/drx013\">https://doi.org/10.1093/imanum/drx013</a>","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>.","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>.","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>.","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} }"},"status":"public","volume":38,"user_id":"100441","_id":"45943","publisher":"Oxford University Press (OUP)","page":"430-459"},{"external_id":{"arxiv":["1511.00545"]},"citation":{"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>.","short":"R. Lauterbach, S. Schwenker, Dynamical Systems 32 (2016) 117–147.","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>.","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>"},"page":"117-147","_id":"33260","publisher":"Informa UK Limited","user_id":"97359","volume":32,"status":"public","date_created":"2022-09-06T11:22:12Z","type":"journal_article","keyword":["Computer Science Applications","General Mathematics"],"issue":"1","publication":"Dynamical Systems","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","language":[{"iso":"eng"}],"doi":"10.1080/14689367.2016.1219696","title":"Equivariant bifurcations in four-dimensional fixed point spaces","year":"2016","author":[{"full_name":"Lauterbach, Reiner","last_name":"Lauterbach","first_name":"Reiner"},{"id":"97359","full_name":"Schwenker, Sören","first_name":"Sören","last_name":"Schwenker","orcid":"0000-0002-8054-2058"}],"publication_identifier":{"issn":["1468-9367","1468-9375"]},"date_updated":"2022-09-07T08:33:36Z","publication_status":"published","intvolume":"        32"},{"publication_identifier":{"issn":["0272-4979","1464-3642"]},"author":[{"full_name":"Kovács, Balázs","last_name":"Kovács","first_name":"Balázs","orcid":"0000-0001-9872-3474","id":"100441"},{"last_name":"Power Guerra","first_name":"Christian Andreas","full_name":"Power Guerra, Christian Andreas"}],"title":"Higher order time discretizations with ALE finite elements for parabolic problems on evolving surfaces","year":"2016","intvolume":"        38","date_updated":"2024-04-03T09:22:19Z","publication_status":"published","language":[{"iso":"eng"}],"doi":"10.1093/imanum/drw074","publication":"IMA Journal of Numerical Analysis","issue":"1","date_created":"2023-07-10T11:39:39Z","department":[{"_id":"841"}],"type":"journal_article","keyword":["Applied Mathematics","Computational Mathematics","General Mathematics"],"status":"public","publisher":"Oxford University Press (OUP)","_id":"45944","page":"460-494","volume":38,"user_id":"100441","citation":{"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>","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>.","short":"B. Kovács, C.A. Power Guerra, IMA Journal of Numerical Analysis 38 (2016) 460–494.","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>.","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>"}},{"department":[{"_id":"841"}],"keyword":["Applied Mathematics","Computational Mathematics","Numerical Analysis","Analysis"],"type":"journal_article","date_created":"2023-07-10T11:35:34Z","issue":"4","publication":"Numerical Methods for Partial Differential Equations","alternative_title":["Error Analysis for Quasilinear Problems on Evolving Surfaces"],"doi":"10.1002/num.22047","language":[{"iso":"eng"}],"intvolume":"        32","publication_status":"published","date_updated":"2024-04-03T09:23:28Z","publication_identifier":{"issn":["0749-159X"]},"author":[{"id":"100441","last_name":"Kovács","orcid":"0000-0001-9872-3474","first_name":"Balázs","full_name":"Kovács, Balázs"},{"first_name":"Christian Andreas","last_name":"Power Guerra","full_name":"Power Guerra, Christian Andreas"}],"year":"2016","title":"Error analysis for full discretizations of quasilinear parabolic problems on evolving surfaces","citation":{"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>","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>.","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>.","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>.","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>","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} }"},"volume":32,"user_id":"100441","_id":"45936","publisher":"Wiley","page":"1200-1231","status":"public"},{"citation":{"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>.","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>","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} }","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>","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>.","short":"B. Kovács, B. Li, C. Lubich, SIAM Journal on Numerical Analysis 54 (2016) 3600–3624.","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>."},"status":"public","user_id":"100441","volume":54,"page":"3600-3624","_id":"45939","publisher":"Society for Industrial & Applied Mathematics (SIAM)","issue":"6","publication":"SIAM Journal on Numerical Analysis","type":"journal_article","keyword":["Numerical Analysis","Applied Mathematics","Computational Mathematics"],"department":[{"_id":"841"}],"date_created":"2023-07-10T11:38:15Z","publication_status":"published","date_updated":"2024-04-03T09:23:00Z","intvolume":"        54","title":"A-Stable Time Discretizations Preserve Maximal Parabolic Regularity","year":"2016","author":[{"last_name":"Kovács","orcid":"0000-0001-9872-3474","first_name":"Balázs","full_name":"Kovács, Balázs","id":"100441"},{"full_name":"Li, Buyang","last_name":"Li","first_name":"Buyang"},{"first_name":"Christian","last_name":"Lubich","full_name":"Lubich, Christian"}],"publication_identifier":{"issn":["0036-1429","1095-7170"]},"doi":"10.1137/15m1040918","language":[{"iso":"eng"}]},{"user_id":"100441","volume":37,"page":"1-39","_id":"45937","publisher":"Oxford University Press (OUP)","status":"public","citation":{"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>.","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>."},"doi":"10.1093/imanum/drw015","language":[{"iso":"eng"}],"date_updated":"2024-04-03T09:23:16Z","publication_status":"published","intvolume":"        37","title":"Numerical analysis of parabolic problems with dynamic boundary conditions","year":"2016","publication_identifier":{"issn":["0272-4979","1464-3642"]},"author":[{"orcid":"0000-0001-9872-3474","last_name":"Kovács","first_name":"Balázs","full_name":"Kovács, Balázs","id":"100441"},{"full_name":"Lubich, Christian","last_name":"Lubich","first_name":"Christian"}],"keyword":["Applied Mathematics","Computational Mathematics","General Mathematics"],"type":"journal_article","department":[{"_id":"841"}],"date_created":"2023-07-10T11:35:53Z","publication":"IMA Journal of Numerical Analysis","issue":"1"},{"publication":"Mathematical Problems in Meteorological Modelling","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."},"type":"conference","department":[{"_id":"841"}],"date_created":"2023-07-10T11:37:53Z","date_updated":"2024-04-03T09:23:08Z","year":"2016","title":"A Parallel Numerical Solution Approach for Nonlinear Parabolic Systems Arising in Air Pollution Transport Problems","status":"public","author":[{"first_name":"J.","last_name":"Karátson","full_name":"Karátson, J."},{"id":"100441","full_name":"Kovács, Balázs","last_name":"Kovács","orcid":"0000-0001-9872-3474","first_name":"Balázs"}],"user_id":"100441","page":"57–70","_id":"45938","language":[{"iso":"eng"}]},{"citation":{"bibtex":"@book{Kovács_2015, place={Budapest, Hungary}, title={Efficient numerical methods for elliptic and parabolic partial differential equations}, DOI={<a href=\"https://doi.org/10.15476/ELTE.2015.076\">10.15476/ELTE.2015.076</a>}, author={Kovács, Balázs}, year={2015} }","ama":"Kovács B. <i>Efficient Numerical Methods for Elliptic and Parabolic Partial Differential Equations</i>.; 2015. doi:<a href=\"https://doi.org/10.15476/ELTE.2015.076\">10.15476/ELTE.2015.076</a>","mla":"Kovács, Balázs. <i>Efficient Numerical Methods for Elliptic and Parabolic Partial Differential Equations</i>. 2015, doi:<a href=\"https://doi.org/10.15476/ELTE.2015.076\">10.15476/ELTE.2015.076</a>.","chicago":"Kovács, Balázs. <i>Efficient Numerical Methods for Elliptic and Parabolic Partial Differential Equations</i>. Budapest, Hungary, 2015. <a href=\"https://doi.org/10.15476/ELTE.2015.076\">https://doi.org/10.15476/ELTE.2015.076</a>.","short":"B. Kovács, Efficient Numerical Methods for Elliptic and Parabolic Partial Differential Equations, Budapest, Hungary, 2015.","ieee":"B. Kovács, <i>Efficient numerical methods for elliptic and parabolic partial differential equations</i>. Budapest, Hungary, 2015.","apa":"Kovács, B. (2015). <i>Efficient numerical methods for elliptic and parabolic partial differential equations</i>. <a href=\"https://doi.org/10.15476/ELTE.2015.076\">https://doi.org/10.15476/ELTE.2015.076</a>"},"supervisor":[{"first_name":"János","last_name":"Kartátson","full_name":"Kartátson, János"}],"extern":"1","date_created":"2023-07-10T12:36:13Z","place":"Budapest, Hungary","type":"dissertation","department":[{"_id":"841"}],"oa":"1","status":"public","title":"Efficient numerical methods for elliptic and parabolic partial differential equations","year":"2015","author":[{"id":"100441","orcid":"0000-0001-9872-3474","last_name":"Kovács","first_name":"Balázs","full_name":"Kovács, Balázs"}],"publication_status":"published","date_updated":"2024-04-03T09:14:51Z","main_file_link":[{"open_access":"1","url":"https://doi.org/10.15476/ELTE.2015.076"}],"language":[{"iso":"eng"}],"_id":"45973","user_id":"100441","doi":"10.15476/ELTE.2015.076"},{"status":"public","publisher":"Institute of Mathematics, Czech Academy of Sciences","_id":"45934","page":"489-508","volume":59,"user_id":"100441","citation":{"mla":"Kovács, Balázs. “On the Numerical Performance of a Sharp a Posteriori Error Estimator for Some Nonlinear Elliptic Problems.” <i>Applications of Mathematics</i>, vol. 59, no. 5, Institute of Mathematics, Czech Academy of Sciences, 2014, pp. 489–508, doi:<a href=\"https://doi.org/10.1007/s10492-014-0068-0\">10.1007/s10492-014-0068-0</a>.","ama":"Kovács B. On the numerical performance of a sharp a posteriori error estimator for some nonlinear elliptic problems. <i>Applications of Mathematics</i>. 2014;59(5):489-508. doi:<a href=\"https://doi.org/10.1007/s10492-014-0068-0\">10.1007/s10492-014-0068-0</a>","bibtex":"@article{Kovács_2014, title={On the numerical performance of a sharp a posteriori error estimator for some nonlinear elliptic problems}, volume={59}, DOI={<a href=\"https://doi.org/10.1007/s10492-014-0068-0\">10.1007/s10492-014-0068-0</a>}, number={5}, journal={Applications of Mathematics}, publisher={Institute of Mathematics, Czech Academy of Sciences}, author={Kovács, Balázs}, year={2014}, pages={489–508} }","apa":"Kovács, B. (2014). On the numerical performance of a sharp a posteriori error estimator for some nonlinear elliptic problems. <i>Applications of Mathematics</i>, <i>59</i>(5), 489–508. <a href=\"https://doi.org/10.1007/s10492-014-0068-0\">https://doi.org/10.1007/s10492-014-0068-0</a>","ieee":"B. Kovács, “On the numerical performance of a sharp a posteriori error estimator for some nonlinear elliptic problems,” <i>Applications of Mathematics</i>, vol. 59, no. 5, pp. 489–508, 2014, doi: <a href=\"https://doi.org/10.1007/s10492-014-0068-0\">10.1007/s10492-014-0068-0</a>.","chicago":"Kovács, Balázs. “On the Numerical Performance of a Sharp a Posteriori Error Estimator for Some Nonlinear Elliptic Problems.” <i>Applications of Mathematics</i> 59, no. 5 (2014): 489–508. <a href=\"https://doi.org/10.1007/s10492-014-0068-0\">https://doi.org/10.1007/s10492-014-0068-0</a>.","short":"B. Kovács, Applications of Mathematics 59 (2014) 489–508."},"publication_identifier":{"issn":["0862-7940","1572-9109"]},"author":[{"first_name":"Balázs","orcid":"0000-0001-9872-3474","last_name":"Kovács","full_name":"Kovács, Balázs","id":"100441"}],"year":"2014","title":"On the numerical performance of a sharp a posteriori error estimator for some nonlinear elliptic problems","intvolume":"        59","date_updated":"2024-04-03T09:23:47Z","publication_status":"published","language":[{"iso":"eng"}],"doi":"10.1007/s10492-014-0068-0","publication":"Applications of Mathematics","issue":"5","date_created":"2023-07-10T11:34:27Z","department":[{"_id":"841"}],"type":"journal_article","keyword":["Applied Mathematics"]},{"citation":{"apa":"Karátson, J., &#38; Kovács, B. (2012). Variable preconditioning in complex Hilbert space and its application to the nonlinear Schrödinger equation. <i>Computers &#38;amp; Mathematics with Applications</i>, <i>65</i>(3), 449–459. <a href=\"https://doi.org/10.1016/j.camwa.2012.04.021\">https://doi.org/10.1016/j.camwa.2012.04.021</a>","ieee":"J. Karátson and B. Kovács, “Variable preconditioning in complex Hilbert space and its application to the nonlinear Schrödinger equation,” <i>Computers &#38;amp; Mathematics with Applications</i>, vol. 65, no. 3, pp. 449–459, 2012, doi: <a href=\"https://doi.org/10.1016/j.camwa.2012.04.021\">10.1016/j.camwa.2012.04.021</a>.","short":"J. Karátson, B. Kovács, Computers &#38;amp; Mathematics with Applications 65 (2012) 449–459.","chicago":"Karátson, J., and Balázs Kovács. “Variable Preconditioning in Complex Hilbert Space and Its Application to the Nonlinear Schrödinger Equation.” <i>Computers &#38;amp; Mathematics with Applications</i> 65, no. 3 (2012): 449–59. <a href=\"https://doi.org/10.1016/j.camwa.2012.04.021\">https://doi.org/10.1016/j.camwa.2012.04.021</a>.","mla":"Karátson, J., and Balázs Kovács. “Variable Preconditioning in Complex Hilbert Space and Its Application to the Nonlinear Schrödinger Equation.” <i>Computers &#38;amp; Mathematics with Applications</i>, vol. 65, no. 3, Elsevier BV, 2012, pp. 449–59, doi:<a href=\"https://doi.org/10.1016/j.camwa.2012.04.021\">10.1016/j.camwa.2012.04.021</a>.","ama":"Karátson J, Kovács B. Variable preconditioning in complex Hilbert space and its application to the nonlinear Schrödinger equation. <i>Computers &#38;amp; Mathematics with Applications</i>. 2012;65(3):449-459. doi:<a href=\"https://doi.org/10.1016/j.camwa.2012.04.021\">10.1016/j.camwa.2012.04.021</a>","bibtex":"@article{Karátson_Kovács_2012, title={Variable preconditioning in complex Hilbert space and its application to the nonlinear Schrödinger equation}, volume={65}, DOI={<a href=\"https://doi.org/10.1016/j.camwa.2012.04.021\">10.1016/j.camwa.2012.04.021</a>}, number={3}, journal={Computers &#38;amp; Mathematics with Applications}, publisher={Elsevier BV}, author={Karátson, J. and Kovács, Balázs}, year={2012}, pages={449–459} }"},"status":"public","user_id":"100441","volume":65,"page":"449-459","_id":"45933","publisher":"Elsevier BV","issue":"3","publication":"Computers &amp; Mathematics with Applications","keyword":["Computational Mathematics","Computational Theory and Mathematics","Modeling and Simulation"],"type":"journal_article","department":[{"_id":"841"}],"date_created":"2023-07-10T11:33:50Z","publication_status":"published","date_updated":"2024-04-03T09:23:54Z","intvolume":"        65","title":"Variable preconditioning in complex Hilbert space and its application to the nonlinear Schrödinger equation","year":"2012","publication_identifier":{"issn":["0898-1221"]},"author":[{"full_name":"Karátson, J.","first_name":"J.","last_name":"Karátson"},{"full_name":"Kovács, Balázs","last_name":"Kovács","orcid":"0000-0001-9872-3474","first_name":"Balázs","id":"100441"}],"doi":"10.1016/j.camwa.2012.04.021","language":[{"iso":"eng"}]},{"citation":{"ieee":"B. Kovács, “A comparison of some efficient numerical methods for a nonlinear elliptic problem,” <i>Central European Journal of Mathematics</i>, vol. 10, no. 1, pp. 217–230, 2011, doi: <a href=\"https://doi.org/10.2478/s11533-011-0071-6\">10.2478/s11533-011-0071-6</a>.","apa":"Kovács, B. (2011). A comparison of some efficient numerical methods for a nonlinear elliptic problem. <i>Central European Journal of Mathematics</i>, <i>10</i>(1), 217–230. <a href=\"https://doi.org/10.2478/s11533-011-0071-6\">https://doi.org/10.2478/s11533-011-0071-6</a>","chicago":"Kovács, Balázs. “A Comparison of Some Efficient Numerical Methods for a Nonlinear Elliptic Problem.” <i>Central European Journal of Mathematics</i> 10, no. 1 (2011): 217–30. <a href=\"https://doi.org/10.2478/s11533-011-0071-6\">https://doi.org/10.2478/s11533-011-0071-6</a>.","short":"B. Kovács, Central European Journal of Mathematics 10 (2011) 217–230.","mla":"Kovács, Balázs. “A Comparison of Some Efficient Numerical Methods for a Nonlinear Elliptic Problem.” <i>Central European Journal of Mathematics</i>, vol. 10, no. 1, Walter de Gruyter GmbH, 2011, pp. 217–30, doi:<a href=\"https://doi.org/10.2478/s11533-011-0071-6\">10.2478/s11533-011-0071-6</a>.","bibtex":"@article{Kovács_2011, title={A comparison of some efficient numerical methods for a nonlinear elliptic problem}, volume={10}, DOI={<a href=\"https://doi.org/10.2478/s11533-011-0071-6\">10.2478/s11533-011-0071-6</a>}, number={1}, journal={Central European Journal of Mathematics}, publisher={Walter de Gruyter GmbH}, author={Kovács, Balázs}, year={2011}, pages={217–230} }","ama":"Kovács B. A comparison of some efficient numerical methods for a nonlinear elliptic problem. <i>Central European Journal of Mathematics</i>. 2011;10(1):217-230. doi:<a href=\"https://doi.org/10.2478/s11533-011-0071-6\">10.2478/s11533-011-0071-6</a>"},"status":"public","volume":10,"user_id":"100441","publisher":"Walter de Gruyter GmbH","_id":"45932","page":"217-230","issue":"1","publication":"Central European Journal of Mathematics","department":[{"_id":"841"}],"keyword":["General Mathematics"],"type":"journal_article","date_created":"2023-07-10T11:32:26Z","intvolume":"        10","publication_status":"published","date_updated":"2024-04-03T09:24:01Z","author":[{"id":"100441","full_name":"Kovács, Balázs","orcid":"0000-0001-9872-3474","first_name":"Balázs","last_name":"Kovács"}],"publication_identifier":{"issn":["1895-1074","1644-3616"]},"year":"2011","title":"A comparison of some efficient numerical methods for a nonlinear elliptic problem","doi":"10.2478/s11533-011-0071-6","language":[{"iso":"eng"}]}]
