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20022005
most citedCoarse Projective kMC Integration: Forward/Reverse Initial and Boundary Value Problems

81 citations

5 papers

nlin.CG2005

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…

nlin.CG2003★ 81 cited

Coarse Projective kMC Integration: Forward/Reverse Initial and Boundary Value Problems

R. Rico-Martinez, C. W. Gear, I. G. Kevrekidis

In "equation-free" multiscale computation a dynamic model is given at a fine, microscopic level; yet we believe that its coarse-grained, macroscopic dynamics can be described by cl…

physics.geo-ph2003★ 16 cited

Dynamical system analysis and forecasting of deformation produced by an earthquake fault

Marian Anghel, Yehuda Ben-Zion, Ramiro Rico-Martinez

We present a method of constructing low-dimensional nonlinear models describing the main dynamical features of a discrete 2D cellular fault zone, with many degrees of freedom, embe…

nlin.CD2002★ 17 cited

Adaptive Detection of Instabilities: An Experimental Feasibility Study

R. Rico-Martinez, K. Krischer, G. Flaetgen +2

We present an example of the practical implementation of a protocol for experimental bifurcation detection based on on-line identification and feedback control ideas. The idea is t…

cond-mat.stat-mech2002

Polymer Chain Collapse in Supercritical Fluids

C. Ortiz-Estrada, G. Luna-Barcenas, G. Ramirez-Santiago +2

My means of extensive Monte Carlo simulations the mean radius of gyration and the end-to-end distance are calculated for a single chain in a solvent over a broad range of volume fr…