Effective Summation and Interpolation of Series by Self-Similar Root Approximants
arXiv:1506.06593
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.
arXiv commentLatex file, 18 pages
References in corpus (10)
- Correlation energy and spin polarization in the 2D electron gas
- Self-Similar Factor Approximants
- Ground state of two electrons on a sphere
- Temporal Dynamics in Perturbation Theory
- Polaron effective mass from Monte Carlo simulations
- Self-Similar Interpolation in Quantum Mechanics
- Collapse of the Electron Gas to Two Dimensions in Density Functional Theory
- Variational Interpolation Algorithm between Weak- and Strong-Coupling Expansions
- High-density correlation energy expansion of the one-dimensional uniform electron gas
- Correlation energy of the spin-polarized uniform electron gas at high density