89 citations · 93 across the 7 of their papers we have counts for
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physics.comp-ph2003
From molecular dynamics to coarse self-similar solutions: A simple example using equation-free computation
L. Chen, P. G. Debenedetti, C. W. Gear +1
In the context of the recently developed "equation-free" approach to the computer-assisted analysis of complex systems, we illustrate the computation of coarsely self-similar solut…
physics.comp-ph2003
Constraint-defined Manifolds: a Legacy Code Approach to Low-dimensional Computation
C. W. Gear, I. G. Kevrekidis
If the dynamics of an evolutionary differential equation system possess a low-dimensional, attracting, slow manifold, there are many advantages to using this manifold to perform co…
nlin.CD2003★ 1 cited
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…