Effective Summation and Interpolation of Series by Self-Similar Root Approximants
Mathematical Physics
2015-06-23 v1 Statistical Mechanics
math.MP
Abstract
We describe a simple analytical method for effective summation of series, including divergent series. The method is based on self-similar approximation theory resulting in self-similar root approximants. The method is shown to be general and applicable to different problems, as is illustrated by a number of examples. The accuracy of the method is not worse, and in many cases better, than that of Pade approximants, when the latter can be defined.
Keywords
Cite
@article{arxiv.1506.06593,
title = {Effective Summation and Interpolation of Series by Self-Similar Root Approximants},
author = {S. Gluzman and V. I. Yukalov},
journal= {arXiv preprint arXiv:1506.06593},
year = {2015}
}
Comments
Latex file, 18 pages