Approximate Solutions of Functional Equations
Mathematical Physics
2015-03-19 v2 High Energy Physics - Theory
math.MP
Abstract
Approximate solutions to functional evolution equations are constructed through a combination of series and conjugation methods, and relative errors are estimated. The methods are illustrated, both analytically and numerically, by construction of approximate continuous functional iterates for x/(1-x), sin x, and {\lambda}x(1-x). Simple functional conjugation by these functions, and their inverses, substantially improves the numerical accuracy of formal series approximations for their continuous iterates.
Keywords
Cite
@article{arxiv.1105.3664,
title = {Approximate Solutions of Functional Equations},
author = {Thomas Curtright and Xiang Jin and Cosmas Zachos},
journal= {arXiv preprint arXiv:1105.3664},
year = {2015}
}
Comments
Approximation for extrema of sine iterates added to revised version