103 citations · 682 across the 48 of their papers we have counts for
3 papers · 1 filter
Coarse Brownian Dynamics for Nematic Liquid Crystals: Bifurcation Diagrams via Stochastic Simulation
C. I. Siettos, M. D. Graham, I. G. Kevrekidis
We demonstrate how time-integration of stochastic differential equations (i.e. Brownian dynamics simulations) can be combined with continuum numerical bifurcation analysis techniqu…
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…