46 citations · 46 across the 3 of their papers we have counts for
4 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…
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…
Microscopic/stochastic timesteppers and coarse control: a kinetic Monte Carlo example
C. I. Siettos, A. Armaou, A. G. Makeev +1
Coarse timesteppers provide a bridge between microscopic / stochastic system descriptions and macroscopic tasks such as coarse stability/bifurcation computations. Exploiting this c…
Focusing Revisited: an MN-dynamics Approach
C. I. Siettos, I. G. Kevrekidis, P. G. Kevrekidis
The nonlinear Schr{ö}dinger (NLS) equation is a ubiquitous example of an envelope wave equation for conservative, dispersive systems. We revisit here the problem of self-similar fo…