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60 Publications
2026 | Preprint | LibreCat-ID: 64865
von der Gracht, Sören, and Alexander Lohse. “Design of Hierarchical Excitable Networks.” ArXiv:2603.06157, 2026.
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| arXiv
2026 | Journal Article | LibreCat-ID: 64979
von der Gracht, Sören, et al. “Homogeneous Coupled Cell Systems with High-Dimensional Internal Dynamics.” Chaos, Solitons & Fractals, vol. 208, 118196, Elsevier BV, 2026, doi:10.1016/j.chaos.2026.118196.
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| arXiv
2026 | Journal Article | LibreCat-ID: 66057
Bullerjahn, Nils, and Balázs 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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2025 | Book Chapter | LibreCat-ID: 60048 | 
Gerlach, Raphael, et al. “On the Dynamical Hierarchy in Gathering Protocols with Circulant Topologies.” Lecture Notes in Computer Science, Springer Nature Switzerland, 2025, doi:10.1007/978-3-031-91736-3_19.
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| arXiv
2025 | Journal Article | LibreCat-ID: 55459
Bullerjahn, Nils, and Balázs 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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2025 | Journal Article | LibreCat-ID: 53141
Edelmann, Dominik, et al. “Numerical Analysis of an Evolving Bulk--Surface Model of Tumour Growth.” IMA Journal of Numerical Analysis, vol. 45, no. 5, 2025, pp. 2581--2627, doi:10.1093/imanum/drae077.
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2025 | Journal Article | LibreCat-ID: 55781
Bai, Genming, et al. “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 |
Gerlach, Raphael, et al. “Symmetry Preservation in Swarms of Oblivious Robots with Limited Visibility.” 28th International Conference on Principles of Distributed Systems (OPODIS 2024), edited by Silvia Bonomi et al., vol. 324, Schloss Dagstuhl -- Leibniz-Zentrum für Informatik, 2025, doi:10.4230/LIPIcs.OPODIS.2024.13.
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| arXiv
2025 | Journal Article | LibreCat-ID: 58532
Bullerjahn, Nils. “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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2025 | Preprint | LibreCat-ID: 58953 |
Gerlach, Raphael, and Sören 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 |
Bick, Christian, and Sören von der Gracht. “Heteroclinic Dynamics in Network Dynamical Systems with Higher-Order Interactions.” Journal of Complex Networks, vol. 12, no. 2, Oxford University Press (OUP), 2024, doi:10.1093/comnet/cnae009.
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| arXiv
2024 | Journal Article | LibreCat-ID: 45972
Kovács, Balázs. “Numerical Surgery for Mean Curvature Flow of Surfaces.” SIAM Journal on Scientific Computing, vol. 46, no. 2, 2024, pp. A645--A669, doi:10.1137/22M1531919.
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2024 | Journal Article | LibreCat-ID: 59171 |
von der Gracht, Sören, et al. “Higher-Order Interactions Lead to ‘Reluctant’ Synchrony Breaking.” Proceedings of the Royal Society A: Mathematical, Physical and Engineering Sciences, vol. 480, no. 2301, The Royal Society, 2024, doi:10.1098/rspa.2023.0945.
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2023 | Journal Article | LibreCat-ID: 49326
von der Gracht, Sören, et al. “Hypernetworks: Cluster Synchronization Is a Higher-Order Effect.” SIAM Journal on Applied Mathematics, vol. 83, no. 6, Society for Industrial & Applied Mathematics (SIAM), 2023, pp. 2329–53, doi:10.1137/23m1561075.
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| arXiv
2023 | Journal Article | LibreCat-ID: 45971
Bartels, Sören, et al. “Error Analysis for the Numerical Approximation of the Harmonic Map Heat Flow with Nodal Constraints.” IMA Journal of Numerical Analysis, Oxford University Press (OUP), 2023, doi:10.1093/imanum/drad037.
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2023 | Journal Article | LibreCat-ID: 53140
Contri, Alessandro, et al. “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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2023 | Preprint | LibreCat-ID: 45498
von der Gracht, Sören, et al. “A Parametrisation Method for High-Order Phase Reduction in Coupled Oscillator Networks.” ArXiv:2306.03320.
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2022 | Journal Article | LibreCat-ID: 33264
von der Gracht, Sören, et al. “Amplified Steady State Bifurcations in Feedforward Networks.” Nonlinearity, vol. 35, no. 4, IOP Publishing, 2022, pp. 2073–120, doi:10.1088/1361-6544/ac5463.
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| arXiv
2022 | Journal Article | LibreCat-ID: 45970
Garcke, Harald, et al. “Viscoelastic Cahn–Hilliard Models for Tumor Growth.” Mathematical Models and Methods in Applied Sciences, vol. 32, no. 13, World Scientific Pub Co Pte Ltd, 2022, pp. 2673–758, doi:10.1142/s0218202522500634.
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