Community integration algorithms (CIAs) for dynamical systems on networks

DOI10.1016/j.jcp.2022.111524OpenAlexW4292487830MaRDI QIDQ2675591

Tobias Böhle, Christian Kuehn, Mechthild Thalhammer

Publication date: 24 September 2022

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2203.16657

zbMATH Keywords

dynamical systemsnumerical simulationscommunity detectioncomplex networks

Mathematics Subject Classification ID

Numerical methods for ordinary differential equations (65Lxx) Graph theory (05Cxx) Mathematical sociology (including anthropology) (91Dxx)

Uses Software

• NetworkX
• SciPy

Cites Work

• Mathematics of epidemics on networks. From exact to approximate models
• Chemical oscillations, waves, and turbulence
• Networks beyond pairwise interactions: structure and dynamics
• Dynamical systems on networks. A tutorial
• Rapid solution of integral equations of classical potential theory
• Random batch methods (RBM) for interacting particle systems
• A Concise Introduction to Geometric Numerical Integration
• Emergence of Scaling in Random Networks
• Dynamical Processes on Complex Networks
• The Structure and Function of Complex Networks
• Synchronization in Networks of Excitatory and Inhibitory Neurons with Sparse, Random Connectivity
• Fast unfolding of communities in large networks
• Emergent Behavior in Flocks
• Collective dynamics of ‘small-world’ networks
• A fast algorithm for particle simulations

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