@article{38306, keywords = {example, molecular-dynamics, nonlinear schrodinger-equation, systems, differential-equations, projective-methods, reconstruction, focusing singularity}, author = {Kessler and Kevrekidis and Chen}, title = {Equation-free dynamic renormalization of a Kardar-Parisi-Zhang-type equation}, abstract = {
In the context of equation-free computation, we devise and implement a procedure for using short-time direct simulations of a Kardar-Parisi-Zhang-(KPZ-) type equation to calculate the self-similar solution for its ensemble averaged correlation function. The method involves "lifting" from candidate pair-correlation functions to consistent realization ensembles, short bursts of KPZ-type evolution, and appropriate rescaling of the resulting averaged pair correlation functions. Both the self-similar shapes and their similarity exponents are obtained at a computational cost significantly reduced to that required to reach saturation in such systems.
}, year = {2006}, journal = {Physical Review E}, volume = {73}, pages = {036703}, month = {03/2006}, isbn = {1539-3755}, language = {English}, }