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65 Publications
2026 | Preprint | LibreCat-ID: 64865
S. von der Gracht and A. Lohse, “Design of Hierarchical Excitable Networks,” arXiv:2603.06157. 2026.
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| arXiv
2026 | Journal Article | LibreCat-ID: 64979
S. von der Gracht, E. Nijholt, and B. Rink, “Homogeneous coupled cell systems with high-dimensional internal dynamics,” Chaos, Solitons & Fractals, vol. 208, Art. no. 118196, 2026, doi: 10.1016/j.chaos.2026.118196.
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| DOI
| arXiv
2026 | Journal Article | LibreCat-ID: 66057
N. Bullerjahn and B. Kovács, “Error estimates for $A$-stable backward difference full discretizations of Willmore flow of closed surfaces,” ArXiv, 2026, doi: 10.48550/arXiv.2606.25934.
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| DOI
2025 | Book Chapter | LibreCat-ID: 60048 | 
R. Gerlach, S. von der Gracht, and M. Dellnitz, “On the Dynamical Hierarchy in Gathering Protocols with Circulant Topologies,” in Lecture Notes in Computer Science, Cham: Springer Nature Switzerland, 2025.
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| arXiv
2025 | Journal Article | LibreCat-ID: 55459
N. Bullerjahn and B. Kovács, “Error estimates for full discretization of Cahn--Hilliard equation with dynamic boundary conditions,” IMA Journal of Numerical Analysis, doi: 10.1093/imanum/draf009.
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| DOI
2025 | Journal Article | LibreCat-ID: 53141
D. Edelmann, B. Kovács, and C. Lubich, “Numerical analysis of an evolving bulk--surface model of tumour growth,” IMA Journal of Numerical Analysis, vol. 45, no. 5, pp. 2581--2627, 2025, doi: 10.1093/imanum/drae077.
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2025 | Journal Article | LibreCat-ID: 55781
G. Bai, B. Kovács, and B. Li, “Maximal regularity of evolving FEMs for parabolic equations on an evolving surface,” IMA Journal of Numerical Analysis, 2025, doi: 10.1093/imanum/draf082.
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| arXiv
2025 | Conference Paper | LibreCat-ID: 56298 |
R. Gerlach, S. von der Gracht, C. Hahn, J. Harbig, and P. Kling, “Symmetry Preservation in Swarms of Oblivious Robots with Limited Visibility,” in 28th International Conference on Principles of Distributed Systems (OPODIS 2024), Lucca, Italy, 2025, vol. 324, doi: 10.4230/LIPIcs.OPODIS.2024.13.
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| arXiv
2025 | Journal Article | LibreCat-ID: 58532
N. Bullerjahn, “Error estimates for full discretization by an almost mass conservation technique for Cahn--Hilliard systems with dynamic boundary conditions,” arXiv, 2025, doi: 10.48550/ARXIV.2502.03847.
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| DOI
2025 | Preprint | LibreCat-ID: 58953 |
R. Gerlach and S. von der Gracht, “Analyzing Symmetries of Swarms of Mobile Robots Using Equivariant Dynamical Systems,” arXiv:2503.07576. 2025.
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| arXiv
2024 | Journal Article | LibreCat-ID: 52726 |
C. Bick and S. von der Gracht, “Heteroclinic dynamics in network dynamical systems with higher-order interactions,” Journal of Complex Networks, vol. 12, no. 2, 2024, doi: 10.1093/comnet/cnae009.
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| arXiv
2024 | Journal Article | LibreCat-ID: 45972
B. Kovács, “Numerical surgery for mean curvature flow of surfaces,” SIAM Journal on Scientific Computing, vol. 46, no. 2, pp. A645--A669, 2024, doi: 10.1137/22M1531919.
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| DOI
2024 | Journal Article | LibreCat-ID: 59171 |
S. von der Gracht, E. Nijholt, and B. Rink, “Higher-order interactions lead to ‘reluctant’ synchrony breaking,” Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 480, no. 2301, 2024, doi: 10.1098/rspa.2023.0945.
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2023 | Journal Article | LibreCat-ID: 49326
S. von der Gracht, E. Nijholt, and B. Rink, “Hypernetworks: Cluster Synchronization Is a Higher-Order Effect,” SIAM Journal on Applied Mathematics, vol. 83, no. 6, pp. 2329–2353, 2023, doi: 10.1137/23m1561075.
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| DOI
| arXiv
2023 | Journal Article | LibreCat-ID: 45971
S. Bartels, B. Kovács, and Z. Wang, “Error analysis for the numerical approximation of the harmonic map heat flow with nodal constraints,” IMA Journal of Numerical Analysis, 2023, doi: 10.1093/imanum/drad037.
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| DOI
2023 | Journal Article | LibreCat-ID: 53140
A. Contri, B. Kovács, and A. Massing, “Error analysis of BDF 1-6 time-stepping methods for the transient Stokes problem: velocity and pressure estimates,” arXiv, 2023, doi: 10.48550/ARXIV.2312.05511.
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| DOI
2023 | Preprint | LibreCat-ID: 45498
S. von der Gracht, E. Nijholt, and B. Rink, “A parametrisation method for high-order phase reduction in coupled oscillator networks,” arXiv:2306.03320. .
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| arXiv
2022 | Journal Article | LibreCat-ID: 33264
S. von der Gracht, E. Nijholt, and B. Rink, “Amplified steady state bifurcations in feedforward networks,” Nonlinearity, vol. 35, no. 4, pp. 2073–2120, 2022, doi: 10.1088/1361-6544/ac5463.
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| DOI
| arXiv
2022 | Journal Article | LibreCat-ID: 45970
H. Garcke, B. Kovács, and D. Trautwein, “Viscoelastic Cahn–Hilliard models for tumor growth,” Mathematical Models and Methods in Applied Sciences, vol. 32, no. 13, pp. 2673–2758, 2022, doi: 10.1142/s0218202522500634.
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| DOI