34 citations · 48 across the 8 of their papers we have counts for
8 papers
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…
Patch dynamics with buffers for homogenization problems
Giovanni Samaey, Ioannis G. Kevrekidis, Dirk Roose
An important class of problems exhibits smooth behaviour on macroscopic space and time scales, while only a microscopic evolution law is known. For such time-dependent multi-scale…
An Equation-Free Approach to Nonlinear Control: Coarse Feedback Linearization With Pole-Placement
C. I. Siettos, I. G. Kevrekidis, N. Kazantzis
We present an application of equation-free computation to the coarse-grained feedback linearization problem of nonlinear systems described by microscopic/stochastic simulators. Fee…