---
_id: '45955'
author:
- first_name: Georgios
  full_name: Akrivis, Georgios
  last_name: Akrivis
- first_name: Michael
  full_name: Feischl, Michael
  last_name: Feischl
- first_name: Balázs
  full_name: Kovács, Balázs
  id: '100441'
  last_name: Kovács
  orcid: 0000-0001-9872-3474
- first_name: Christian
  full_name: Lubich, Christian
  last_name: Lubich
citation:
  ama: Akrivis G, Feischl M, Kovács B, Lubich C. Higher-order linearly implicit full
    discretization of the Landau–Lifshitz–Gilbert equation. <i>Mathematics of Computation</i>.
    2020;90(329):995-1038. doi:<a href="https://doi.org/10.1090/mcom/3597">10.1090/mcom/3597</a>
  apa: Akrivis, G., Feischl, M., Kovács, B., &#38; Lubich, C. (2020). Higher-order
    linearly implicit full discretization of the Landau–Lifshitz–Gilbert equation.
    <i>Mathematics of Computation</i>, <i>90</i>(329), 995–1038. <a href="https://doi.org/10.1090/mcom/3597">https://doi.org/10.1090/mcom/3597</a>
  bibtex: '@article{Akrivis_Feischl_Kovács_Lubich_2020, title={Higher-order linearly
    implicit full discretization of the Landau–Lifshitz–Gilbert equation}, volume={90},
    DOI={<a href="https://doi.org/10.1090/mcom/3597">10.1090/mcom/3597</a>}, number={329},
    journal={Mathematics of Computation}, publisher={American Mathematical Society
    (AMS)}, author={Akrivis, Georgios and Feischl, Michael and Kovács, Balázs and
    Lubich, Christian}, year={2020}, pages={995–1038} }'
  chicago: 'Akrivis, Georgios, Michael Feischl, Balázs Kovács, and Christian Lubich.
    “Higher-Order Linearly Implicit Full Discretization of the Landau–Lifshitz–Gilbert
    Equation.” <i>Mathematics of Computation</i> 90, no. 329 (2020): 995–1038. <a
    href="https://doi.org/10.1090/mcom/3597">https://doi.org/10.1090/mcom/3597</a>.'
  ieee: 'G. Akrivis, M. Feischl, B. Kovács, and C. Lubich, “Higher-order linearly
    implicit full discretization of the Landau–Lifshitz–Gilbert equation,” <i>Mathematics
    of Computation</i>, vol. 90, no. 329, pp. 995–1038, 2020, doi: <a href="https://doi.org/10.1090/mcom/3597">10.1090/mcom/3597</a>.'
  mla: Akrivis, Georgios, et al. “Higher-Order Linearly Implicit Full Discretization
    of the Landau–Lifshitz–Gilbert Equation.” <i>Mathematics of Computation</i>, vol.
    90, no. 329, American Mathematical Society (AMS), 2020, pp. 995–1038, doi:<a href="https://doi.org/10.1090/mcom/3597">10.1090/mcom/3597</a>.
  short: G. Akrivis, M. Feischl, B. Kovács, C. Lubich, Mathematics of Computation
    90 (2020) 995–1038.
date_created: 2023-07-10T11:42:57Z
date_updated: 2024-04-03T09:20:36Z
department:
- _id: '841'
doi: 10.1090/mcom/3597
intvolume: '        90'
issue: '329'
keyword:
- Applied Mathematics
- Computational Mathematics
- Algebra and Number Theory
language:
- iso: eng
page: 995-1038
publication: Mathematics of Computation
publication_identifier:
  issn:
  - 0025-5718
  - 1088-6842
publication_status: published
publisher: American Mathematical Society (AMS)
status: public
title: Higher-order linearly implicit full discretization of the Landau–Lifshitz–Gilbert
  equation
type: journal_article
user_id: '100441'
volume: 90
year: '2020'
...
---
_id: '45952'
author:
- first_name: Balázs
  full_name: Kovács, Balázs
  id: '100441'
  last_name: Kovács
  orcid: 0000-0001-9872-3474
- first_name: Buyang
  full_name: Li, Buyang
  last_name: Li
- first_name: Christian
  full_name: Lubich, Christian
  last_name: Lubich
citation:
  ama: Kovács B, Li B, Lubich C. A convergent algorithm for forced mean curvature
    flow driven by diffusion on the surface. <i>Interfaces and Free Boundaries</i>.
    2020;22(4):443-464. doi:<a href="https://doi.org/10.4171/ifb/446">10.4171/ifb/446</a>
  apa: Kovács, B., Li, B., &#38; Lubich, C. (2020). A convergent algorithm for forced
    mean curvature flow driven by diffusion on the surface. <i>Interfaces and Free
    Boundaries</i>, <i>22</i>(4), 443–464. <a href="https://doi.org/10.4171/ifb/446">https://doi.org/10.4171/ifb/446</a>
  bibtex: '@article{Kovács_Li_Lubich_2020, title={A convergent algorithm for forced
    mean curvature flow driven by diffusion on the surface}, volume={22}, DOI={<a
    href="https://doi.org/10.4171/ifb/446">10.4171/ifb/446</a>}, number={4}, journal={Interfaces
    and Free Boundaries}, publisher={European Mathematical Society - EMS - Publishing
    House GmbH}, author={Kovács, Balázs and Li, Buyang and Lubich, Christian}, year={2020},
    pages={443–464} }'
  chicago: 'Kovács, Balázs, Buyang Li, and Christian Lubich. “A Convergent Algorithm
    for Forced Mean Curvature Flow Driven by Diffusion on the Surface.” <i>Interfaces
    and Free Boundaries</i> 22, no. 4 (2020): 443–64. <a href="https://doi.org/10.4171/ifb/446">https://doi.org/10.4171/ifb/446</a>.'
  ieee: 'B. Kovács, B. Li, and C. Lubich, “A convergent algorithm for forced mean
    curvature flow driven by diffusion on the surface,” <i>Interfaces and Free Boundaries</i>,
    vol. 22, no. 4, pp. 443–464, 2020, doi: <a href="https://doi.org/10.4171/ifb/446">10.4171/ifb/446</a>.'
  mla: Kovács, Balázs, et al. “A Convergent Algorithm for Forced Mean Curvature Flow
    Driven by Diffusion on the Surface.” <i>Interfaces and Free Boundaries</i>, vol.
    22, no. 4, European Mathematical Society - EMS - Publishing House GmbH, 2020,
    pp. 443–64, doi:<a href="https://doi.org/10.4171/ifb/446">10.4171/ifb/446</a>.
  short: B. Kovács, B. Li, C. Lubich, Interfaces and Free Boundaries 22 (2020) 443–464.
date_created: 2023-07-10T11:42:14Z
date_updated: 2024-04-03T09:21:02Z
department:
- _id: '841'
doi: 10.4171/ifb/446
intvolume: '        22'
issue: '4'
keyword:
- Applied Mathematics
language:
- iso: eng
page: 443-464
publication: Interfaces and Free Boundaries
publication_identifier:
  issn:
  - 1463-9963
publication_status: published
publisher: European Mathematical Society - EMS - Publishing House GmbH
status: public
title: A convergent algorithm for forced mean curvature flow driven by diffusion on
  the surface
type: journal_article
user_id: '100441'
volume: 22
year: '2020'
...
---
_id: '45948'
author:
- first_name: Balázs
  full_name: Kovács, Balázs
  id: '100441'
  last_name: Kovács
  orcid: 0000-0001-9872-3474
- first_name: Buyang
  full_name: Li, Buyang
  last_name: Li
- first_name: Christian
  full_name: Lubich, Christian
  last_name: Lubich
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>
  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>
  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} }'
  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>.'
  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>.'
  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>.
  short: B. Kovács, B. Li, C. Lubich, Numerische Mathematik 143 (2019) 797–853.
date_created: 2023-07-10T11:40:56Z
date_updated: 2024-04-03T09:21:40Z
department:
- _id: '841'
doi: 10.1007/s00211-019-01074-2
intvolume: '       143'
issue: '4'
keyword:
- Applied Mathematics
- Computational Mathematics
language:
- iso: eng
page: 797-853
publication: Numerische Mathematik
publication_identifier:
  issn:
  - 0029-599X
  - 0945-3245
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: A convergent evolving finite element algorithm for mean curvature flow of closed
  surfaces
type: journal_article
user_id: '100441'
volume: 143
year: '2019'
...
---
_id: '45974'
author:
- first_name: Balázs
  full_name: Kovács, Balázs
  id: '100441'
  last_name: Kovács
  orcid: 0000-0001-9872-3474
citation:
  ama: Kovács B. <i>Numerical Analysis of Partial Differential Equations on and of
    Evolving Surfaces</i>.; 2018.
  apa: Kovács, B. (2018). <i>Numerical analysis of partial differential equations
    on and of evolving surfaces</i>.
  bibtex: '@book{Kovács_2018, place={Tübingen, Germany}, title={Numerical analysis
    of partial differential equations on and of evolving surfaces}, author={Kovács,
    Balázs}, year={2018} }'
  chicago: Kovács, Balázs. <i>Numerical Analysis of Partial Differential Equations
    on and of Evolving Surfaces</i>. Tübingen, Germany, 2018.
  ieee: B. Kovács, <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.
  short: B. Kovács, Numerical Analysis of Partial Differential Equations on and of
    Evolving Surfaces, Tübingen, Germany, 2018.
date_created: 2023-07-10T12:37:48Z
date_updated: 2024-04-03T09:14:36Z
department:
- _id: '841'
extern: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://na.uni-tuebingen.de/~kovacs/BKovacs_habilitation.pdf
oa: '1'
place: Tübingen, Germany
publication_status: published
status: public
supervisor:
- first_name: Christian
  full_name: Lubich, Christian
  last_name: Lubich
title: Numerical analysis of partial differential equations on and of evolving surfaces
type: habilitation
user_id: '100441'
year: '2018'
...
---
_id: '45950'
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>
author:
- first_name: János
  full_name: Karátson, János
  last_name: Karátson
- first_name: Balázs
  full_name: Kovács, Balázs
  id: '100441'
  last_name: Kovács
  orcid: 0000-0001-9872-3474
- first_name: Sergey
  full_name: Korotov, Sergey
  last_name: Korotov
citation:
  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>
  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>
  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} }'
  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>.'
  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.
date_created: 2023-07-10T11:41:27Z
date_updated: 2024-04-03T09:21:21Z
department:
- _id: '841'
doi: 10.1093/imanum/dry086
intvolume: '        40'
issue: '2'
keyword:
- Applied Mathematics
- Computational Mathematics
- General Mathematics
language:
- iso: eng
page: 1241-1265
publication: IMA Journal of Numerical Analysis
publication_identifier:
  issn:
  - 0272-4979
  - 1464-3642
publication_status: published
publisher: Oxford University Press (OUP)
status: public
title: Discrete maximum principles for nonlinear elliptic finite element problems
  on surfaces with boundary
type: journal_article
user_id: '100441'
volume: 40
year: '2018'
...
---
_id: '45947'
author:
- first_name: Balázs
  full_name: Kovács, Balázs
  id: '100441'
  last_name: Kovács
  orcid: 0000-0001-9872-3474
- first_name: Christian
  full_name: Lubich, Christian
  last_name: Lubich
citation:
  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>
  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>
  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}
    }'
  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>.'
  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>.'
  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>.
  short: B. Kovács, C. Lubich, Numerische Mathematik 140 (2018) 121–152.
date_created: 2023-07-10T11:40:40Z
date_updated: 2024-04-03T09:21:48Z
department:
- _id: '841'
doi: 10.1007/s00211-018-0962-6
intvolume: '       140'
issue: '1'
keyword:
- Applied Mathematics
- Computational Mathematics
language:
- iso: eng
page: 121-152
publication: Numerische Mathematik
publication_identifier:
  issn:
  - 0029-599X
  - 0945-3245
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Linearly implicit full discretization of surface evolution
type: journal_article
user_id: '100441'
volume: 140
year: '2018'
...
---
_id: '45951'
author:
- first_name: Balázs
  full_name: Kovács, Balázs
  id: '100441'
  last_name: Kovács
  orcid: 0000-0001-9872-3474
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>
  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} }'
  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>.'
  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.
date_created: 2023-07-10T11:41:54Z
date_updated: 2024-04-03T09:21:13Z
department:
- _id: '841'
doi: 10.1002/num.22340
intvolume: '        35'
issue: '3'
keyword:
- Applied Mathematics
- Computational Mathematics
- Numerical Analysis
- Analysis
language:
- iso: eng
page: 1093-1112
publication: Numerical Methods for Partial Differential Equations
publication_identifier:
  issn:
  - 0749-159X
  - 1098-2426
publication_status: published
publisher: Wiley
status: public
title: Computing arbitrary Lagrangian Eulerian maps for evolving surfaces
type: journal_article
user_id: '100441'
volume: 35
year: '2018'
...
---
_id: '45941'
author:
- first_name: Balázs
  full_name: Kovács, Balázs
  id: '100441'
  last_name: Kovács
  orcid: 0000-0001-9872-3474
- first_name: Buyang
  full_name: Li, Buyang
  last_name: Li
- first_name: Christian
  full_name: Lubich, Christian
  last_name: Lubich
- first_name: Christian A.
  full_name: Power Guerra, Christian A.
  last_name: Power Guerra
citation:
  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>
  apa: Kovács, B., Li, B., Lubich, C., &#38; Power Guerra, C. A. (2017). Convergence
    of finite elements on an evolving surface driven by diffusion on the surface.
    <i>Numerische Mathematik</i>, <i>137</i>(3), 643–689. <a href="https://doi.org/10.1007/s00211-017-0888-4">https://doi.org/10.1007/s00211-017-0888-4</a>
  bibtex: '@article{Kovács_Li_Lubich_Power Guerra_2017, title={Convergence of finite
    elements on an evolving surface driven by diffusion on the surface}, volume={137},
    DOI={<a href="https://doi.org/10.1007/s00211-017-0888-4">10.1007/s00211-017-0888-4</a>},
    number={3}, journal={Numerische Mathematik}, publisher={Springer Science and Business
    Media LLC}, author={Kovács, Balázs and Li, Buyang and Lubich, Christian and Power
    Guerra, Christian A.}, year={2017}, pages={643–689} }'
  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>.'
  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>.'
  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>.
  short: B. Kovács, B. Li, C. Lubich, C.A. Power Guerra, Numerische Mathematik 137
    (2017) 643–689.
date_created: 2023-07-10T11:38:48Z
date_updated: 2024-04-03T09:22:43Z
department:
- _id: '841'
doi: 10.1007/s00211-017-0888-4
intvolume: '       137'
issue: '3'
keyword:
- Applied Mathematics
- Computational Mathematics
language:
- iso: eng
page: 643-689
publication: Numerische Mathematik
publication_identifier:
  issn:
  - 0029-599X
  - 0945-3245
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Convergence of finite elements on an evolving surface driven by diffusion on
  the surface
type: journal_article
user_id: '100441'
volume: 137
year: '2017'
...
---
_id: '45942'
author:
- first_name: Balázs
  full_name: Kovács, Balázs
  id: '100441'
  last_name: Kovács
  orcid: 0000-0001-9872-3474
- first_name: Christian
  full_name: Lubich, Christian
  last_name: Lubich
citation:
  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>
  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>
  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}
    }'
  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>.'
  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>.'
  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>.
  short: B. Kovács, C. Lubich, Numerische Mathematik 138 (2017) 365–388.
date_created: 2023-07-10T11:39:05Z
date_updated: 2024-04-03T09:22:34Z
department:
- _id: '841'
doi: 10.1007/s00211-017-0909-3
intvolume: '       138'
issue: '2'
keyword:
- Applied Mathematics
- Computational Mathematics
language:
- iso: eng
page: 365-388
publication: Numerische Mathematik
publication_identifier:
  issn:
  - 0029-599X
  - 0945-3245
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Stability and convergence of time discretizations of quasi-linear evolution
  equations of Kato type
type: journal_article
user_id: '100441'
volume: 138
year: '2017'
...
---
_id: '45940'
author:
- first_name: Balázs
  full_name: Kovács, Balázs
  id: '100441'
  last_name: Kovács
  orcid: 0000-0001-9872-3474
- first_name: Christian
  full_name: Lubich, Christian
  last_name: Lubich
citation:
  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>
  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>
  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}
    }'
  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>.'
  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>.'
  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>.
  short: B. Kovács, C. Lubich, Numerische Mathematik 137 (2017) 91–117.
date_created: 2023-07-10T11:38:34Z
date_updated: 2024-04-03T09:22:51Z
department:
- _id: '841'
doi: 10.1007/s00211-017-0868-8
intvolume: '       137'
issue: '1'
keyword:
- Applied Mathematics
- Computational Mathematics
language:
- iso: eng
page: 91-117
publication: Numerische Mathematik
publication_identifier:
  issn:
  - 0029-599X
  - 0945-3245
publication_status: published
publisher: Springer Science and Business Media LLC
status: public
title: Stable and convergent fully discrete interior–exterior coupling of Maxwell’s
  equations
type: journal_article
user_id: '100441'
volume: 137
year: '2017'
...
---
_id: '45946'
author:
- first_name: Balázs
  full_name: Kovács, Balázs
  id: '100441'
  last_name: Kovács
  orcid: 0000-0001-9872-3474
- first_name: Christian Andreas
  full_name: Power Guerra, Christian Andreas
  last_name: Power Guerra
citation:
  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>
  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} }'
  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>.'
  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.
date_created: 2023-07-10T11:40:24Z
date_updated: 2024-04-03T09:22:00Z
department:
- _id: '841'
doi: 10.1002/num.22212
intvolume: '        34'
issue: '2'
keyword:
- Applied Mathematics
- Computational Mathematics
- Numerical Analysis
- Analysis
language:
- iso: eng
page: 518-554
publication: Numerical Methods for Partial Differential Equations
publication_identifier:
  issn:
  - 0749-159X
publication_status: published
publisher: Wiley
status: public
title: Maximum norm stability and error estimates for the evolving surface finite
  element method
type: journal_article
user_id: '100441'
volume: 34
year: '2017'
...
---
_id: '45943'
author:
- first_name: Balázs
  full_name: Kovács, Balázs
  id: '100441'
  last_name: Kovács
  orcid: 0000-0001-9872-3474
citation:
  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>
  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>
  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} }'
  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>.'
  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>.'
  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>.
  short: B. Kovács, IMA Journal of Numerical Analysis 38 (2017) 430–459.
date_created: 2023-07-10T11:39:23Z
date_updated: 2024-04-03T09:22:26Z
department:
- _id: '841'
doi: 10.1093/imanum/drx013
intvolume: '        38'
issue: '1'
keyword:
- Applied Mathematics
- Computational Mathematics
- General Mathematics
language:
- iso: eng
page: 430-459
publication: IMA Journal of Numerical Analysis
publication_identifier:
  issn:
  - 0272-4979
  - 1464-3642
publication_status: published
publisher: Oxford University Press (OUP)
status: public
title: High-order evolving surface finite element method for parabolic problems on
  evolving surfaces
type: journal_article
user_id: '100441'
volume: 38
year: '2017'
...
---
_id: '45944'
author:
- first_name: Balázs
  full_name: Kovács, Balázs
  id: '100441'
  last_name: Kovács
  orcid: 0000-0001-9872-3474
- first_name: Christian Andreas
  full_name: Power Guerra, Christian Andreas
  last_name: Power Guerra
citation:
  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>
  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>
  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} }'
  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>.'
  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.
date_created: 2023-07-10T11:39:39Z
date_updated: 2024-04-03T09:22:19Z
department:
- _id: '841'
doi: 10.1093/imanum/drw074
intvolume: '        38'
issue: '1'
keyword:
- Applied Mathematics
- Computational Mathematics
- General Mathematics
language:
- iso: eng
page: 460-494
publication: IMA Journal of Numerical Analysis
publication_identifier:
  issn:
  - 0272-4979
  - 1464-3642
publication_status: published
publisher: Oxford University Press (OUP)
status: public
title: Higher order time discretizations with ALE finite elements for parabolic problems
  on evolving surfaces
type: journal_article
user_id: '100441'
volume: 38
year: '2016'
...
---
_id: '45936'
alternative_title:
- Error Analysis for Quasilinear Problems on Evolving Surfaces
author:
- first_name: Balázs
  full_name: Kovács, Balázs
  id: '100441'
  last_name: Kovács
  orcid: 0000-0001-9872-3474
- first_name: Christian Andreas
  full_name: Power Guerra, Christian Andreas
  last_name: Power Guerra
citation:
  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>
  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} }'
  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>.'
  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>.
  short: B. Kovács, C.A. Power Guerra, Numerical Methods for Partial Differential
    Equations 32 (2016) 1200–1231.
date_created: 2023-07-10T11:35:34Z
date_updated: 2024-04-03T09:23:28Z
department:
- _id: '841'
doi: 10.1002/num.22047
intvolume: '        32'
issue: '4'
keyword:
- Applied Mathematics
- Computational Mathematics
- Numerical Analysis
- Analysis
language:
- iso: eng
page: 1200-1231
publication: Numerical Methods for Partial Differential Equations
publication_identifier:
  issn:
  - 0749-159X
publication_status: published
publisher: Wiley
status: public
title: Error analysis for full discretizations of quasilinear parabolic problems on
  evolving surfaces
type: journal_article
user_id: '100441'
volume: 32
year: '2016'
...
---
_id: '45939'
author:
- first_name: Balázs
  full_name: Kovács, Balázs
  id: '100441'
  last_name: Kovács
  orcid: 0000-0001-9872-3474
- first_name: Buyang
  full_name: Li, Buyang
  last_name: Li
- first_name: Christian
  full_name: Lubich, Christian
  last_name: Lubich
citation:
  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>
  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} }'
  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>.'
  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>.'
  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>.
  short: B. Kovács, B. Li, C. Lubich, SIAM Journal on Numerical Analysis 54 (2016)
    3600–3624.
date_created: 2023-07-10T11:38:15Z
date_updated: 2024-04-03T09:23:00Z
department:
- _id: '841'
doi: 10.1137/15m1040918
intvolume: '        54'
issue: '6'
keyword:
- Numerical Analysis
- Applied Mathematics
- Computational Mathematics
language:
- iso: eng
page: 3600-3624
publication: SIAM Journal on Numerical Analysis
publication_identifier:
  issn:
  - 0036-1429
  - 1095-7170
publication_status: published
publisher: Society for Industrial & Applied Mathematics (SIAM)
status: public
title: A-Stable Time Discretizations Preserve Maximal Parabolic Regularity
type: journal_article
user_id: '100441'
volume: 54
year: '2016'
...
---
_id: '45937'
author:
- first_name: Balázs
  full_name: Kovács, Balázs
  id: '100441'
  last_name: Kovács
  orcid: 0000-0001-9872-3474
- first_name: Christian
  full_name: Lubich, Christian
  last_name: Lubich
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>
  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>
  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}
    }'
  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>.'
  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>.'
  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>.
  short: B. Kovács, C. Lubich, IMA Journal of Numerical Analysis 37 (2016) 1–39.
date_created: 2023-07-10T11:35:53Z
date_updated: 2024-04-03T09:23:16Z
department:
- _id: '841'
doi: 10.1093/imanum/drw015
intvolume: '        37'
issue: '1'
keyword:
- Applied Mathematics
- Computational Mathematics
- General Mathematics
language:
- iso: eng
page: 1-39
publication: IMA Journal of Numerical Analysis
publication_identifier:
  issn:
  - 0272-4979
  - 1464-3642
publication_status: published
publisher: Oxford University Press (OUP)
status: public
title: Numerical analysis of parabolic problems with dynamic boundary conditions
type: journal_article
user_id: '100441'
volume: 37
year: '2016'
...
---
_id: '45938'
author:
- first_name: J.
  full_name: Karátson, J.
  last_name: Karátson
- first_name: Balázs
  full_name: Kovács, Balázs
  id: '100441'
  last_name: Kovács
  orcid: 0000-0001-9872-3474
citation:
  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.'
  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.
  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} }'
  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.
  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.
  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.
  short: 'J. Karátson, B. Kovács, in: Mathematical Problems in Meteorological Modelling,
    2016, pp. 57–70.'
date_created: 2023-07-10T11:37:53Z
date_updated: 2024-04-03T09:23:08Z
department:
- _id: '841'
language:
- iso: eng
page: 57–70
publication: Mathematical Problems in Meteorological Modelling
status: public
title: A Parallel Numerical Solution Approach for Nonlinear Parabolic Systems Arising
  in Air Pollution Transport Problems
type: conference
user_id: '100441'
year: '2016'
...
---
_id: '45973'
author:
- first_name: Balázs
  full_name: Kovács, Balázs
  id: '100441'
  last_name: Kovács
  orcid: 0000-0001-9872-3474
citation:
  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>
  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>
  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} }'
  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>.
  ieee: B. Kovács, <i>Efficient numerical methods for elliptic and parabolic partial
    differential equations</i>. Budapest, Hungary, 2015.
  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>.
  short: B. Kovács, Efficient Numerical Methods for Elliptic and Parabolic Partial
    Differential Equations, Budapest, Hungary, 2015.
date_created: 2023-07-10T12:36:13Z
date_updated: 2024-04-03T09:14:51Z
department:
- _id: '841'
doi: 10.15476/ELTE.2015.076
extern: '1'
language:
- iso: eng
main_file_link:
- open_access: '1'
  url: https://doi.org/10.15476/ELTE.2015.076
oa: '1'
place: Budapest, Hungary
publication_status: published
status: public
supervisor:
- first_name: János
  full_name: Kartátson, János
  last_name: Kartátson
title: Efficient numerical methods for elliptic and parabolic partial differential
  equations
type: dissertation
user_id: '100441'
year: '2015'
...
---
_id: '45934'
author:
- first_name: Balázs
  full_name: Kovács, Balázs
  id: '100441'
  last_name: Kovács
  orcid: 0000-0001-9872-3474
citation:
  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>
  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>
  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}
    }'
  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>.'
  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>.'
  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>.
  short: B. Kovács, Applications of Mathematics 59 (2014) 489–508.
date_created: 2023-07-10T11:34:27Z
date_updated: 2024-04-03T09:23:47Z
department:
- _id: '841'
doi: 10.1007/s10492-014-0068-0
intvolume: '        59'
issue: '5'
keyword:
- Applied Mathematics
language:
- iso: eng
page: 489-508
publication: Applications of Mathematics
publication_identifier:
  issn:
  - 0862-7940
  - 1572-9109
publication_status: published
publisher: Institute of Mathematics, Czech Academy of Sciences
status: public
title: On the numerical performance of a sharp a posteriori error estimator for some
  nonlinear elliptic problems
type: journal_article
user_id: '100441'
volume: 59
year: '2014'
...
---
_id: '45933'
author:
- first_name: J.
  full_name: Karátson, J.
  last_name: Karátson
- first_name: Balázs
  full_name: Kovács, Balázs
  id: '100441'
  last_name: Kovács
  orcid: 0000-0001-9872-3474
citation:
  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>
  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>
  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} }'
  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>.'
  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>.'
  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>.
  short: J. Karátson, B. Kovács, Computers &#38;amp; Mathematics with Applications
    65 (2012) 449–459.
date_created: 2023-07-10T11:33:50Z
date_updated: 2024-04-03T09:23:54Z
department:
- _id: '841'
doi: 10.1016/j.camwa.2012.04.021
intvolume: '        65'
issue: '3'
keyword:
- Computational Mathematics
- Computational Theory and Mathematics
- Modeling and Simulation
language:
- iso: eng
page: 449-459
publication: Computers &amp; Mathematics with Applications
publication_identifier:
  issn:
  - 0898-1221
publication_status: published
publisher: Elsevier BV
status: public
title: Variable preconditioning in complex Hilbert space and its application to the
  nonlinear Schrödinger equation
type: journal_article
user_id: '100441'
volume: 65
year: '2012'
...