89 citations · 415 across the 36 of their papers we have counts for
4 papers · 1 filter
A Systems-Based Approach to Multiscale Computation: Equation-Free Detection of Coarse-Grained Bifurcations
C. I. Siettos, R. Rico-Martinez, I. G. kevrekidis
We discuss certain basic features of the equation-free (EF) approach to modeling and computation for complex/multiscale systems. We focus on links between the equation-free approac…
Coarse-graining the dynamics of coupled oscillators
Sung Joon Moon, R. Ghanem, I. G. Kevrekidis
We present an equation-free computational approach to the study of the coarse-grained dynamics of {\it finite} assemblies of {\it non-identical} coupled oscillators at and near ful…
An equation-free approach to coupled oscillator dynamics: the Kuramoto model example
Sung Joon Moon, Ioannis G. Kevrekidis
We present an equation-free multi-scale approach to the computational study of the collective dynamics of the Kuramoto model [{\it Chemical Oscillations, Waves, and Turbulence}, Sp…
Exploring Hydrodynamic Closures for the Lid-driven Micro-cavity
S. Ansumali, C. E. Frouzakis, I. V. Karlin +1
A minimal kinetic model is used to study analytically and numerically flows at a micrometer scale. Using the lid-driven microcavity as an illustrative example, the interplay betwee…