89 citations · 275 across the 19 of their papers we have counts for
4 papers · 1 filter
Boundary processing for Monte Carlo Simulations in the Gap-Tooth Scheme
C. W. Gear, Ioannis G. Kevrekidis
This note reports on a scheme for interpolating the boundary conditions be- tween non-adjacent modeling regions when the model is based on Monte-Carlo computations of a collection…
Equation-Free Multiscale Computation: enabling microscopic simulators to perform system-level tasks
Ioannis G. Kevrekidis, C. William Gear, James M. Hyman +3
We present and discuss a framework for computer-aided multiscale analysis, which enables models at a "fine" (microscopic/stochastic) level of description to perform modeling tasks…
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…