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60 Publications
2018 | Journal Article | LibreCat-ID: 33261
S. Schwenker, “Generic Steady State Bifurcations in Monoid Equivariant Dynamics with Applications in Homogeneous Coupled Cell Systems,” SIAM Journal on Mathematical Analysis, vol. 50, no. 3, pp. 2466–2485, 2018, doi: 10.1137/17m116118x.
LibreCat
| DOI
| arXiv
2018 | Habilitation | LibreCat-ID: 45974 | 
B. Kovács, Numerical analysis of partial differential equations on and of evolving surfaces. Tübingen, Germany, 2018.
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2018 | Journal Article | LibreCat-ID: 45950
J. Karátson, B. Kovács, and S. Korotov, “Discrete maximum principles for nonlinear elliptic finite element problems on surfaces with boundary,” IMA Journal of Numerical Analysis, vol. 40, no. 2, pp. 1241–1265, 2018, doi: 10.1093/imanum/dry086.
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 45947
B. Kovács and C. Lubich, “Linearly implicit full discretization of surface evolution,” Numerische Mathematik, vol. 140, no. 1, pp. 121–152, 2018, doi: 10.1007/s00211-018-0962-6.
LibreCat
| DOI
2018 | Journal Article | LibreCat-ID: 45951
B. Kovács, “Computing arbitrary Lagrangian Eulerian maps for evolving surfaces,” Numerical Methods for Partial Differential Equations, vol. 35, no. 3, pp. 1093–1112, 2018, doi: 10.1002/num.22340.
LibreCat
| DOI
2017 | Journal Article | LibreCat-ID: 45941
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,” Numerische Mathematik, vol. 137, no. 3, pp. 643–689, 2017, doi: 10.1007/s00211-017-0888-4.
LibreCat
| DOI
2017 | Journal Article | LibreCat-ID: 45942
B. Kovács and C. Lubich, “Stability and convergence of time discretizations of quasi-linear evolution equations of Kato type,” Numerische Mathematik, vol. 138, no. 2, pp. 365–388, 2017, doi: 10.1007/s00211-017-0909-3.
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| DOI
2017 | Journal Article | LibreCat-ID: 45940
B. Kovács and C. Lubich, “Stable and convergent fully discrete interior–exterior coupling of Maxwell’s equations,” Numerische Mathematik, vol. 137, no. 1, pp. 91–117, 2017, doi: 10.1007/s00211-017-0868-8.
LibreCat
| DOI
2017 | Journal Article | LibreCat-ID: 45946
B. Kovács and C. A. Power Guerra, “Maximum norm stability and error estimates for the evolving surface finite element method,” Numerical Methods for Partial Differential Equations, vol. 34, no. 2, pp. 518–554, 2017, doi: 10.1002/num.22212.
LibreCat
| DOI
2017 | Journal Article | LibreCat-ID: 45943
B. Kovács, “High-order evolving surface finite element method for parabolic problems on evolving surfaces,” IMA Journal of Numerical Analysis, vol. 38, no. 1, pp. 430–459, 2017, doi: 10.1093/imanum/drx013.
LibreCat
| DOI
2016 | Journal Article | LibreCat-ID: 33260
R. Lauterbach and S. Schwenker, “Equivariant bifurcations in four-dimensional fixed point spaces,” Dynamical Systems, vol. 32, no. 1, pp. 117–147, 2016, doi: 10.1080/14689367.2016.1219696.
LibreCat
| DOI
| arXiv
2016 | Journal Article | LibreCat-ID: 45944
B. Kovács and C. A. Power Guerra, “Higher order time discretizations with ALE finite elements for parabolic problems on evolving surfaces,” IMA Journal of Numerical Analysis, vol. 38, no. 1, pp. 460–494, 2016, doi: 10.1093/imanum/drw074.
LibreCat
| DOI
2016 | Journal Article | LibreCat-ID: 45936
B. Kovács and C. A. Power Guerra, “Error analysis for full discretizations of quasilinear parabolic problems on evolving surfaces,” Numerical Methods for Partial Differential Equations, vol. 32, no. 4, pp. 1200–1231, 2016, doi: 10.1002/num.22047.
LibreCat
| DOI
2016 | Journal Article | LibreCat-ID: 45939
B. Kovács, B. Li, and C. Lubich, “A-Stable Time Discretizations Preserve Maximal Parabolic Regularity,” SIAM Journal on Numerical Analysis, vol. 54, no. 6, pp. 3600–3624, 2016, doi: 10.1137/15m1040918.
LibreCat
| DOI
2016 | Journal Article | LibreCat-ID: 45937
B. Kovács and C. Lubich, “Numerical analysis of parabolic problems with dynamic boundary conditions,” IMA Journal of Numerical Analysis, vol. 37, no. 1, pp. 1–39, 2016, doi: 10.1093/imanum/drw015.
LibreCat
| DOI
2016 | Conference Paper | LibreCat-ID: 45938
J. Karátson and B. Kovács, “A Parallel Numerical Solution Approach for Nonlinear Parabolic Systems Arising in Air Pollution Transport Problems,” in Mathematical Problems in Meteorological Modelling, 2016, pp. 57–70.
LibreCat
2015 | Dissertation | LibreCat-ID: 45973 |
B. Kovács, Efficient numerical methods for elliptic and parabolic partial differential equations. Budapest, Hungary, 2015.
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2014 | Journal Article | LibreCat-ID: 45934
B. Kovács, “On the numerical performance of a sharp a posteriori error estimator for some nonlinear elliptic problems,” Applications of Mathematics, vol. 59, no. 5, pp. 489–508, 2014, doi: 10.1007/s10492-014-0068-0.
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| DOI
2012 | Journal Article | LibreCat-ID: 45933
J. Karátson and B. Kovács, “Variable preconditioning in complex Hilbert space and its application to the nonlinear Schrödinger equation,” Computers & Mathematics with Applications, vol. 65, no. 3, pp. 449–459, 2012, doi: 10.1016/j.camwa.2012.04.021.
LibreCat
| DOI
2011 | Journal Article | LibreCat-ID: 45932
B. Kovács, “A comparison of some efficient numerical methods for a nonlinear elliptic problem,” Central European Journal of Mathematics, vol. 10, no. 1, pp. 217–230, 2011, doi: 10.2478/s11533-011-0071-6.
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| DOI