2004/12/01 by C. I. Siettos, Constantinos Siettos, Ioannis G. Kevrekidis +6
Engineering · Materials Science · Physics and Astronomy · #Block Copolymer Self-Assembly #Cellular Automata and Lattice Gases (nlin.CG) #FOS: Physical sciences #Phase Equilibria and Thermodynamics #Theoretical and Computational Physics #nlin.CG
paper · pdf · doi:10.48550/arxiv.nlin/0412006
arxiv created 2004/12/01 · openalex publication_date 2004/12/01 · arxiv updated 2009/12/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
We present an application of equation-free computation to the coarse-grained feedback linearization problem of nonlinear systems described by microscopic/stochastic simulators. Feedback linearization with pole placement requires the solution of a functional equation involving the macroscopic (coarse-grained) system model. In the absence of such a closed-form model, short, appropriately initialized bursts of microscopic simulation are designed and performed, and their results used to estimate on demand the quantities required for the numerical solution of the (explicitly unavailable) functional equation. Our illustrative example is a kinetic Monte Carlo realization of a simplified heterogeneous catalytic reaction scheme