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Coarse-graining the dynamics of network evolution: the rise and fall of a networked society
Andreas C. Tsoumanis, Karthikeyan Rajendran, Constantinos I. Siettos +1
We explore a systematic approach to studying the dynamics of evolving networks at a coarse-grained, system level. We emphasize the importance of finding good observables (network p…
Simulating Stochastic Inertial Manifolds by a Backward-Forward Approach
Xingye Kan, Jinqiao Duan, Ioannis G. Kevrekidis +1
A numerical approach for the approximation of inertial manifolds of stochastic evolutionary equations with multiplicative noise is presented and illustrated. After splitting the st…
A mesoscopic model for microscale hydrodynamics and interfacial phenomena: Slip, films, and contact angle hysteresis
Carlos E. Colosqui, Michail E. Kavousanakis, Athanasios G. Papathanasiou +1
We present a model based on the lattice Boltzmann equation that is suitable for the simulation of dynamic wetting. The model is capable of exhibiting fundamental interfacial phenom…
An equation-free approach to coarse-graining the dynamics of networks
Katherine A. Bold, Karthikeyan Rajendran, Balázs Ráth +1
We propose and illustrate an approach to coarse-graining the dynamics of evolving networks (networks whose connectivity changes dynamically). The approach is based on the equation-…