@article{45955,
  author       = {{Akrivis, Georgios and Feischl, Michael and Kovács, Balázs and Lubich, Christian}},
  issn         = {{0025-5718}},
  journal      = {{Mathematics of Computation}},
  keywords     = {{Applied Mathematics, Computational Mathematics, Algebra and Number Theory}},
  number       = {{329}},
  pages        = {{995--1038}},
  publisher    = {{American Mathematical Society (AMS)}},
  title        = {{{Higher-order linearly implicit full discretization of the Landau–Lifshitz–Gilbert equation}}},
  doi          = {{10.1090/mcom/3597}},
  volume       = {{90}},
  year         = {{2020}},
}

@article{45952,
  author       = {{Kovács, Balázs and Li, Buyang and Lubich, Christian}},
  issn         = {{1463-9963}},
  journal      = {{Interfaces and Free Boundaries}},
  keywords     = {{Applied Mathematics}},
  number       = {{4}},
  pages        = {{443--464}},
  publisher    = {{European Mathematical Society - EMS - Publishing House GmbH}},
  title        = {{{A convergent algorithm for forced mean curvature flow driven by diffusion on the surface}}},
  doi          = {{10.4171/ifb/446}},
  volume       = {{22}},
  year         = {{2020}},
}

@article{45948,
  author       = {{Kovács, Balázs and Li, Buyang and Lubich, Christian}},
  issn         = {{0029-599X}},
  journal      = {{Numerische Mathematik}},
  keywords     = {{Applied Mathematics, Computational Mathematics}},
  number       = {{4}},
  pages        = {{797--853}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{A convergent evolving finite element algorithm for mean curvature flow of closed surfaces}}},
  doi          = {{10.1007/s00211-019-01074-2}},
  volume       = {{143}},
  year         = {{2019}},
}

@misc{45974,
  author       = {{Kovács, Balázs}},
  title        = {{{Numerical analysis of partial differential equations on and of evolving surfaces}}},
  year         = {{2018}},
}

@article{45950,
  abstract     = {{<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>}},
  author       = {{Karátson, János and Kovács, Balázs and Korotov, Sergey}},
  issn         = {{0272-4979}},
  journal      = {{IMA Journal of Numerical Analysis}},
  keywords     = {{Applied Mathematics, Computational Mathematics, General Mathematics}},
  number       = {{2}},
  pages        = {{1241--1265}},
  publisher    = {{Oxford University Press (OUP)}},
  title        = {{{Discrete maximum principles for nonlinear elliptic finite element problems on surfaces with boundary}}},
  doi          = {{10.1093/imanum/dry086}},
  volume       = {{40}},
  year         = {{2018}},
}

@article{45947,
  author       = {{Kovács, Balázs and Lubich, Christian}},
  issn         = {{0029-599X}},
  journal      = {{Numerische Mathematik}},
  keywords     = {{Applied Mathematics, Computational Mathematics}},
  number       = {{1}},
  pages        = {{121--152}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{Linearly implicit full discretization of surface evolution}}},
  doi          = {{10.1007/s00211-018-0962-6}},
  volume       = {{140}},
  year         = {{2018}},
}

@article{45951,
  author       = {{Kovács, Balázs}},
  issn         = {{0749-159X}},
  journal      = {{Numerical Methods for Partial Differential Equations}},
  keywords     = {{Applied Mathematics, Computational Mathematics, Numerical Analysis, Analysis}},
  number       = {{3}},
  pages        = {{1093--1112}},
  publisher    = {{Wiley}},
  title        = {{{Computing arbitrary Lagrangian Eulerian maps for evolving surfaces}}},
  doi          = {{10.1002/num.22340}},
  volume       = {{35}},
  year         = {{2018}},
}

@article{45941,
  author       = {{Kovács, Balázs and Li, Buyang and Lubich, Christian and Power Guerra, Christian A.}},
  issn         = {{0029-599X}},
  journal      = {{Numerische Mathematik}},
  keywords     = {{Applied Mathematics, Computational Mathematics}},
  number       = {{3}},
  pages        = {{643--689}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{Convergence of finite elements on an evolving surface driven by diffusion on the surface}}},
  doi          = {{10.1007/s00211-017-0888-4}},
  volume       = {{137}},
  year         = {{2017}},
}

@article{45942,
  author       = {{Kovács, Balázs and Lubich, Christian}},
  issn         = {{0029-599X}},
  journal      = {{Numerische Mathematik}},
  keywords     = {{Applied Mathematics, Computational Mathematics}},
  number       = {{2}},
  pages        = {{365--388}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{Stability and convergence of time discretizations of quasi-linear evolution equations of Kato type}}},
  doi          = {{10.1007/s00211-017-0909-3}},
  volume       = {{138}},
  year         = {{2017}},
}

@article{45940,
  author       = {{Kovács, Balázs and Lubich, Christian}},
  issn         = {{0029-599X}},
  journal      = {{Numerische Mathematik}},
  keywords     = {{Applied Mathematics, Computational Mathematics}},
  number       = {{1}},
  pages        = {{91--117}},
  publisher    = {{Springer Science and Business Media LLC}},
  title        = {{{Stable and convergent fully discrete interior–exterior coupling of Maxwell’s equations}}},
  doi          = {{10.1007/s00211-017-0868-8}},
  volume       = {{137}},
  year         = {{2017}},
}

@article{45946,
  author       = {{Kovács, Balázs and Power Guerra, Christian Andreas}},
  issn         = {{0749-159X}},
  journal      = {{Numerical Methods for Partial Differential Equations}},
  keywords     = {{Applied Mathematics, Computational Mathematics, Numerical Analysis, Analysis}},
  number       = {{2}},
  pages        = {{518--554}},
  publisher    = {{Wiley}},
  title        = {{{Maximum norm stability and error estimates for the evolving surface finite element method}}},
  doi          = {{10.1002/num.22212}},
  volume       = {{34}},
  year         = {{2017}},
}

@article{45943,
  author       = {{Kovács, Balázs}},
  issn         = {{0272-4979}},
  journal      = {{IMA Journal of Numerical Analysis}},
  keywords     = {{Applied Mathematics, Computational Mathematics, General Mathematics}},
  number       = {{1}},
  pages        = {{430--459}},
  publisher    = {{Oxford University Press (OUP)}},
  title        = {{{High-order evolving surface finite element method for parabolic problems on evolving surfaces}}},
  doi          = {{10.1093/imanum/drx013}},
  volume       = {{38}},
  year         = {{2017}},
}

@article{45944,
  author       = {{Kovács, Balázs and Power Guerra, Christian Andreas}},
  issn         = {{0272-4979}},
  journal      = {{IMA Journal of Numerical Analysis}},
  keywords     = {{Applied Mathematics, Computational Mathematics, General Mathematics}},
  number       = {{1}},
  pages        = {{460--494}},
  publisher    = {{Oxford University Press (OUP)}},
  title        = {{{Higher order time discretizations with ALE finite elements for parabolic problems on evolving surfaces}}},
  doi          = {{10.1093/imanum/drw074}},
  volume       = {{38}},
  year         = {{2016}},
}

@article{45936,
  author       = {{Kovács, Balázs and Power Guerra, Christian Andreas}},
  issn         = {{0749-159X}},
  journal      = {{Numerical Methods for Partial Differential Equations}},
  keywords     = {{Applied Mathematics, Computational Mathematics, Numerical Analysis, Analysis}},
  number       = {{4}},
  pages        = {{1200--1231}},
  publisher    = {{Wiley}},
  title        = {{{Error analysis for full discretizations of quasilinear parabolic problems on evolving surfaces}}},
  doi          = {{10.1002/num.22047}},
  volume       = {{32}},
  year         = {{2016}},
}

@article{45939,
  author       = {{Kovács, Balázs and Li, Buyang and Lubich, Christian}},
  issn         = {{0036-1429}},
  journal      = {{SIAM Journal on Numerical Analysis}},
  keywords     = {{Numerical Analysis, Applied Mathematics, Computational Mathematics}},
  number       = {{6}},
  pages        = {{3600--3624}},
  publisher    = {{Society for Industrial & Applied Mathematics (SIAM)}},
  title        = {{{A-Stable Time Discretizations Preserve Maximal Parabolic Regularity}}},
  doi          = {{10.1137/15m1040918}},
  volume       = {{54}},
  year         = {{2016}},
}

@article{45937,
  author       = {{Kovács, Balázs and Lubich, Christian}},
  issn         = {{0272-4979}},
  journal      = {{IMA Journal of Numerical Analysis}},
  keywords     = {{Applied Mathematics, Computational Mathematics, General Mathematics}},
  number       = {{1}},
  pages        = {{1--39}},
  publisher    = {{Oxford University Press (OUP)}},
  title        = {{{Numerical analysis of parabolic problems with dynamic boundary conditions}}},
  doi          = {{10.1093/imanum/drw015}},
  volume       = {{37}},
  year         = {{2016}},
}

@inproceedings{45938,
  author       = {{Karátson, J. and Kovács, Balázs}},
  booktitle    = {{Mathematical Problems in Meteorological Modelling}},
  pages        = {{57–70}},
  title        = {{{A Parallel Numerical Solution Approach for Nonlinear Parabolic Systems Arising in Air Pollution Transport Problems}}},
  year         = {{2016}},
}

@phdthesis{45973,
  author       = {{Kovács, Balázs}},
  title        = {{{Efficient numerical methods for elliptic and parabolic partial differential equations}}},
  doi          = {{10.15476/ELTE.2015.076}},
  year         = {{2015}},
}

@article{45934,
  author       = {{Kovács, Balázs}},
  issn         = {{0862-7940}},
  journal      = {{Applications of Mathematics}},
  keywords     = {{Applied Mathematics}},
  number       = {{5}},
  pages        = {{489--508}},
  publisher    = {{Institute of Mathematics, Czech Academy of Sciences}},
  title        = {{{On the numerical performance of a sharp a posteriori error estimator for some nonlinear elliptic problems}}},
  doi          = {{10.1007/s10492-014-0068-0}},
  volume       = {{59}},
  year         = {{2014}},
}

@article{45933,
  author       = {{Karátson, J. and Kovács, Balázs}},
  issn         = {{0898-1221}},
  journal      = {{Computers &amp; Mathematics with Applications}},
  keywords     = {{Computational Mathematics, Computational Theory and Mathematics, Modeling and Simulation}},
  number       = {{3}},
  pages        = {{449--459}},
  publisher    = {{Elsevier BV}},
  title        = {{{Variable preconditioning in complex Hilbert space and its application to the nonlinear Schrödinger equation}}},
  doi          = {{10.1016/j.camwa.2012.04.021}},
  volume       = {{65}},
  year         = {{2012}},
}