Publikationen
2026
Design of Hierarchical Excitable Networks
S. von der Gracht, A. Lohse, ArXiv:2603.06157 (2026).
Homogeneous coupled cell systems with high-dimensional internal dynamics
S. von der Gracht, E. Nijholt, B. Rink, Chaos, Solitons & Fractals 208 (2026).
2025
On the Dynamical Hierarchy in Gathering Protocols with Circulant Topologies
R. Gerlach, S. von der Gracht, M. Dellnitz, in: Lecture Notes in Computer Science, Springer Nature Switzerland, Cham, 2025.
Error estimates for full discretization of Cahn--Hilliard equation with dynamic boundary conditions
N. Bullerjahn, B. Kovács, IMA Journal of Numerical Analysis (n.d.).
Numerical analysis of an evolving bulk--surface model of tumour growth
D. Edelmann, B. Kovács, C. Lubich, IMA Journal of Numerical Analysis 45 (2025) 2581--2627.
Maximal regularity of evolving FEMs for parabolic equations on an evolving surface
G. Bai, B. Kovács, B. Li, IMA Journal of Numerical Analysis (2025).
Symmetry Preservation in Swarms of Oblivious Robots with Limited Visibility
R. Gerlach, S. von der Gracht, C. Hahn, J. Harbig, P. Kling, in: S. Bonomi, L. Galletta, Etienne Rivière, Valerio Schiavoni (Eds.), 28th International Conference on Principles of Distributed Systems (OPODIS 2024), Schloss Dagstuhl -- Leibniz-Zentrum für Informatik, 2025.
Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions
N. Bullerjahn, ArXiv (2025).
Analyzing Symmetries of Swarms of Mobile Robots Using Equivariant Dynamical Systems
R. Gerlach, S. von der Gracht, ArXiv:2503.07576 (2025).
2024
Heteroclinic dynamics in network dynamical systems with higher-order interactions
C. Bick, S. von der Gracht, Journal of Complex Networks 12 (2024).
Numerical surgery for mean curvature flow of surfaces
B. Kovács, SIAM Journal on Scientific Computing 46 (2024) A645--A669.
A posteriori error estimates for parabolic partial differential equations on stationary surfaces
B. Kovács, M.F.R. Lantelme, ArXiv:2407.02101 (2024).
Higher-order interactions lead to ‘reluctant’ synchrony breaking
S. von der Gracht, E. Nijholt, B. Rink, Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences 480 (2024).
2023
Hypernetworks: Cluster Synchronization Is a Higher-Order Effect
S. von der Gracht, E. Nijholt, B. Rink, SIAM Journal on Applied Mathematics 83 (2023) 2329–2353.
Error analysis for the numerical approximation of the harmonic map heat flow with nodal constraints
S. Bartels, B. Kovács, Z. Wang, IMA Journal of Numerical Analysis (2023).
Error analysis of BDF 1-6 time-stepping methods for the transient Stokes problem: velocity and pressure estimates
A. Contri, B. Kovács, A. Massing, ArXiv (2023).
A parametrisation method for high-order phase reduction in coupled oscillator networks
S. von der Gracht, E. Nijholt, B. Rink, ArXiv:2306.03320 (n.d.).
2022
Amplified steady state bifurcations in feedforward networks
S. von der Gracht, E. Nijholt, B. Rink, Nonlinearity 35 (2022) 2073–2120.
Viscoelastic Cahn–Hilliard models for tumor growth
H. Garcke, B. Kovács, D. Trautwein, Mathematical Models and Methods in Applied Sciences 32 (2022) 2673–2758.
Numerical analysis for the interaction of mean curvature flow and diffusion on closed surfaces
C.M. Elliott, H. Garcke, B. Kovács, Numerische Mathematik 151 (2022) 873–925.
Time-dependent electromagnetic scattering from thin layers
J. Nick, B. Kovács, C. Lubich, Numerische Mathematik 150 (2022) 1123–1164.
Maximal regularity of backward difference time discretization for evolving surface PDEs and its application to nonlinear problems
B. Kovács, B. Li, IMA Journal of Numerical Analysis (2022).
Bulk–surface Lie splitting for parabolic problems with dynamic boundary conditions
R. Altmann, B. Kovács, C. Zimmer, IMA Journal of Numerical Analysis 43 (2022) 950–975.
Error estimates for a splitting integrator for abstract semilinear boundary coupled systems
P. Csomós, B. Farkas, B. Kovács, IMA Journal of Numerical Analysis (2022).
Stability and error estimates for non-linear Cahn–Hilliard-type equations on evolving surfaces
C.A. Beschle, B. Kovács, Numerische Mathematik 151 (2022) 1–48.
FEM-BEM Coupling for the Maxwell–Landau–Lifshitz–Gilbert Equations via Convolution Quadrature: Weak Form and Numerical Approximation
J. Bohn, M. Feischl, B. Kovács, Computational Methods in Applied Mathematics 23 (2022) 19–48.
2021
A convergent finite element algorithm for mean curvature flow in higher codimension
T. Binz, B. Kovács, ArXiv (2021).
A convergent finite element algorithm for generalized mean curvature flows of closed surfaces
T. Binz, B. Kovács, IMA Journal of Numerical Analysis 42 (2021) 2545–2588.
Error estimates for the Cahn–Hilliard equation with dynamic boundary conditions
P. Harder, B. Kovács, IMA Journal of Numerical Analysis 42 (2021) 2589–2620.
Correction to: Stable and convergent fully discrete interior–exterior coupling of Maxwell’s equations
J. Nick, B. Kovács, C. Lubich, Numerische Mathematik 147 (2021) 997–1000.
A convergent evolving finite element algorithm for Willmore flow of closed surfaces
B. Kovács, B. Li, C. Lubich, Numerische Mathematik 149 (2021) 595–643.
2020
Linear Algebra driven by Data Science
T. Schramm, I. Gasser, S. Schwenker, R. Seiler, A. Lohse, K. Zobel, Linear Algebra Driven by Data Science, Hamburg Open Online University, 2020.
A new algorithm for computing idempotents of ℛ-trivial monoids
E. Nijholt, B. Rink, S. Schwenker, Journal of Algebra and Its Applications 20 (2020).
Quiver Representations and Dimension Reduction in Dynamical Systems
E. Nijholt, B.W. Rink, S. Schwenker, SIAM Journal on Applied Dynamical Systems 19 (2020) 2428–2468.
Finite element error analysis of wave equations with dynamic boundary conditions: L2 estimates
D. Hipp, B. Kovács, IMA Journal of Numerical Analysis 41 (2020) 638–728.
Finite element error analysis of wave equations with dynamic boundary conditions: L2 estimates
D. Hipp, B. Kovács, IMA Journal of Numerical Analysis 41 (2020) 638–728.
Higher-order linearly implicit full discretization of the Landau–Lifshitz–Gilbert equation
G. Akrivis, M. Feischl, B. Kovács, C. Lubich, Mathematics of Computation 90 (2020) 995–1038.
A convergent algorithm for forced mean curvature flow driven by diffusion on the surface
B. Kovács, B. Li, C. Lubich, Interfaces and Free Boundaries 22 (2020) 443–464.
2019
Genericity in Network Dynamics
S. Schwenker, Genericity in Network Dynamics, Universität Hamburg, Hamburg, 2019.
A convergent evolving finite element algorithm for mean curvature flow of closed surfaces
B. Kovács, B. Li, C. Lubich, Numerische Mathematik 143 (2019) 797–853.
2018
Generic Steady State Bifurcations in Monoid Equivariant Dynamics with Applications in Homogeneous Coupled Cell Systems
S. Schwenker, SIAM Journal on Mathematical Analysis 50 (2018) 2466–2485.
Numerical analysis of partial differential equations on and of evolving surfaces
B. Kovács, Numerical Analysis of Partial Differential Equations on and of Evolving Surfaces, Tübingen, Germany, 2018.
Discrete maximum principles for nonlinear elliptic finite element problems on surfaces with boundary
J. Karátson, B. Kovács, S. Korotov, IMA Journal of Numerical Analysis 40 (2018) 1241–1265.
Discrete maximum principles for nonlinear elliptic finite element problems on surfaces with boundary
J. Karátson, B. Kovács, S. Korotov, IMA Journal of Numerical Analysis 40 (2018) 1241–1265.
Linearly implicit full discretization of surface evolution
B. Kovács, C. Lubich, Numerische Mathematik 140 (2018) 121–152.
Computing arbitrary Lagrangian Eulerian maps for evolving surfaces
B. Kovács, Numerical Methods for Partial Differential Equations 35 (2018) 1093–1112.
2017
Convergence of finite elements on an evolving surface driven by diffusion on the surface
B. Kovács, B. Li, C. Lubich, C.A. Power Guerra, Numerische Mathematik 137 (2017) 643–689.
Stability and convergence of time discretizations of quasi-linear evolution equations of Kato type
B. Kovács, C. Lubich, Numerische Mathematik 138 (2017) 365–388.
Stable and convergent fully discrete interior–exterior coupling of Maxwell’s equations
B. Kovács, C. Lubich, Numerische Mathematik 137 (2017) 91–117.
Maximum norm stability and error estimates for the evolving surface finite element method
B. Kovács, C.A. Power Guerra, Numerical Methods for Partial Differential Equations 34 (2017) 518–554.
High-order evolving surface finite element method for parabolic problems on evolving surfaces
B. Kovács, IMA Journal of Numerical Analysis 38 (2017) 430–459.
Maximum norm stability and error estimates for the evolving surface finite element method
B. Kovács, C.A. Power Guerra, Numerical Methods for Partial Differential Equations 34 (2017) 518–554.
2016
Equivariant bifurcations in four-dimensional fixed point spaces
R. Lauterbach, S. Schwenker, Dynamical Systems 32 (2016) 117–147.
Higher order time discretizations with ALE finite elements for parabolic problems on evolving surfaces
B. Kovács, C.A. Power Guerra, IMA Journal of Numerical Analysis 38 (2016) 460–494.
Error analysis for full discretizations of quasilinear parabolic problems on evolving surfaces
B. Kovács, C.A. Power Guerra, Numerical Methods for Partial Differential Equations 32 (2016) 1200–1231.
A-Stable Time Discretizations Preserve Maximal Parabolic Regularity
B. Kovács, B. Li, C. Lubich, SIAM Journal on Numerical Analysis 54 (2016) 3600–3624.
Numerical analysis of parabolic problems with dynamic boundary conditions
B. Kovács, C. Lubich, IMA Journal of Numerical Analysis 37 (2016) 1–39.
A Parallel Numerical Solution Approach for Nonlinear Parabolic Systems Arising in Air Pollution Transport Problems
J. Karátson, B. Kovács, in: Mathematical Problems in Meteorological Modelling, 2016, pp. 57–70.
2015
Efficient numerical methods for elliptic and parabolic partial differential equations
B. Kovács, Efficient Numerical Methods for Elliptic and Parabolic Partial Differential Equations, Budapest, Hungary, 2015.
2014
Robust Preconditioning Estimates for Convection-Dominated Elliptic Problems via a Streamline Poincaré--Friedrichs Inequality
O. Axelsson, J. Karátson, B. Kovács, SIAM Journal on Numerical Analysis 52 (2014) 2957–2976.
On the numerical performance of a sharp a posteriori error estimator for some nonlinear elliptic problems
B. Kovács, Applications of Mathematics 59 (2014) 489–508.
2012
Variable preconditioning in complex Hilbert space and its application to the nonlinear Schrödinger equation
J. Karátson, B. Kovács, Computers & Mathematics with Applications 65 (2012) 449–459.
2011
A comparison of some efficient numerical methods for a nonlinear elliptic problem
B. Kovács, Central European Journal of Mathematics 10 (2011) 217–230.
Alle Publikationen anzeigen