3 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
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
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…