Prof. Dr. Balázs Kovács
Numerik partieller Differentialgleichungen
Kontakt und Affiliationen
- E-Mail:
- balazs.kovacs@uni-paderborn.de
- Telefon:
- +49 5251 60-1839
- ORCID:
- 0000-0001-9872-3474
- Web:
- Homepage
- Büroanschrift:
-
365体育_足球比分网￥投注直播官网 Str. 100
33098 Paderborn - Raum:
- J2.241
?ber Balázs Kovács
Curriculum Vitae
Seit 01.07.2023: Professor (W3) für Mathematik und ihre Anwendungen
Universit?t Paderborn
2023-2026 Heisenberg-Professor
01.10.2020 - 30.06.2023: DFG Heisenberg Stelleninhaber
Universit?t Regensburg, Deutschland
Deutsche Forschungsgemeinschaft Project-ID 446431602
01.04.2022 - 30.09.2022: Vertretungsprofessor (W2)
Technische Universit?t München
in Vertretung von Prof. Caroline Lasser
01.07.2015 - 30.09.2020: PostDoc
Eberhard-Karls Universit?t Tübingen
Mentor: Prof. Christian Lubich
18.12.2018: Habilitation
Eberhard-Karls Universit?t Tübingen
03.03.2016: Promotion
01.10.2014 - 30.06.2015: DAAD Stipendium
Eberhard-Karls Universit?t Tübingen
01.04.2014 - 30.09.2014: ERASMUS Stipendium
Eberhard-Karls Universit?t Tübingen
01.09.2011 - 31.07.2014: Promotionsstudium
ELTE E?tv?s Loránd Universit?t, Budapest, Ungarn.
Betreuer: Prof. János Karátson
Dissertation: Effcient numerical methods for elliptic and parabolic partial differential equations
01.09.2009 - 15.07.2011: Master Angewandte Mathematik
ELTE E?tv?s Loránd Universit?t, Budapest, Ungarn.
01.09.2006 - 15.07.2009: Bachelor für Mathematik
ELTE E?tv?s Loránd Universit?t, Budapest, Ungarn.
Forschung
Forschungsschwerpunkte
My research focuses on the numerical analysis of algorithms for geometric surface flows and for evolving surface partial differential equations, e.g. mean curvature flow, Willmore flow, inverse mean curvature flow, and geometric flows coupled to surface processes.
I am interested in time discretisation methods, numerical methods for parabolic and wave-type problems with dynamic boundary conditions, numerical analysis for Maxwell's equations with various boundary conditions.
○ My research project on geometric surface flows is funded by the Heisenberg Programme of the Deutsche Forschungsgemeinschaft (DFG, German Research Foundation) – titled Numerical analysis of geometric flows and evolving surface partial differential equations (2020–2026, Project ID: 446431602).
○ For the second funding period (2022–2023) I was a principal investigator within the DFG Research Training Group 2339 – Interfaces, Complex Structures, and Singular Limits (Project ID: 321821685).
○ For the second funding period (2023–2025) S?ren Bartels and I will have a joint project in the DFG Research Group 3013 Vector- and Tensor-Valued Surface PDEs (Project ID: 417223351).
Publikationen
Aktuelle Publikationen
Numerical analysis of an evolving bulk--surface model of tumour growth
D. Edelmann, B. Kovács, C. Lubich, ArXiv (2024).
Maximal regularity of evolving FEMs for parabolic equations on an evolving surface
G. Bai, B. Kovács, B. Li, ArXiv:2408.14096 (2024).
Numerical surgery for mean curvature flow of surfaces
B. Kovács, SIAM Journal on Scientific Computing 46 (2024) A645--A669.
A posteriori error estimates and space-time adaptivity for parabolic partial differential equations on stationary surfaces
B. Kovács, M.F.R. Lantelme, ArXiv:2407.02101 (2024).
Error estimates for full discretization of Cahn--Hilliard equation with dynamic boundary conditions
N. Bullerjahn, B. Kovács, IMA Journal of Numerical Analysis (n.d.).
Alle Publikationen anzeigen
Lehre
Laufende Lehrveranstaltungen
- Seminar "Coding Challenge"
- Oberseminar
- Numerik station?rer Gleichungen (?bung)
- Numerik station?rer Gleichungen
Wissenschaftliches Engagement
01.10.2021 - 30.06.2023 | Mitglied des Fakult?tsrat an der Universit?t Regensburg
in Vertretung für Mittelbau