89 citations · 275 across the 19 of their papers we have counts for
6 papers · 1 filter
The gap-tooth scheme for homogenization problems
Giovanni Samaey, Dirk Roose, Ioannis G. Kevrekidis
An important class of problems exhibits smooth behaviour in space and time on a macroscopic scale, while only a microscopic evolution law is known. For such time-dependent multi-sc…
Damping factors for the gap-tooth scheme
Giovanni Samaey, Ioannis G. Kevrekidis, Dirk Roose
An important class of problems exhibits macroscopically smooth behaviour in space and time, while only a microscopic evolution law is known. For such time-dependent multi-scale pro…
Optimal switching policies using coarse timesteppers
Antonios Armaou, Ioannis G. Kevrekidis
We present a computer-assisted approach to approximating coarse optimal switching policies for systems described by microscopic/stochastic evolution rules. The coarse timestepper c…
Effective equations for discrete systems: A time stepper based approach
J. Moeller, O. Runborg, P. G. Kevrekidis +2
We propose a computer-assisted approach to studying the effective continuum behavior of spatially discrete evolution equations. The advantage of the approach is that the "coarse mo…
On 3+1 Dimensional Friedman-Robertson-Walker Universes with Matter
T. Christodoulakis, C. Helias, P. G. Kevrekidis +2
We examine the dynamical behavior of matter coupled to gravity in the context of a linear Klein-Gordon equation coupled to a Friedman-Robertson-Walker metric. The resulting ordinar…
Reverse Integration for Computing Stationary Points of Unstable Stiff Systems
C. W. Gear, Ioannis Kevrekidis
Using existing, forward-in-time integration schemes, we demonstrate that it is possible to compute unstable, saddle-type fixed points of stiff systems of ODEs when the stable compe…