A note on the summation of power series
type: Item
instance of: scholarly article
title: A note on the summation of power series
zbMATH Open document ID: 0643.65003
DOI: 10.1016/0168-9274(88)90019-0
author: I. M. Longman
published in: Applied Numerical Mathematics
publication date: 1988-01-01T00:00:00Z
review text: The author [J. Comput. Appl. Math. 12/13, 447-457 (1985; Zbl 0574.65003)] has proposed a method of accelerating the convergence of a power series or continuing its sum outside the disk of convergence. Here he presents a compact formula for the approximants and compares it with the generalized Euler method.
Mathematics Subject Classification ID: 65B10
zbMATH DE Number: 4048900
zbMATH Keywords: convergence acceleration
zbMATH Keywords: analytic continuation
zbMATH Keywords: power series
zbMATH Keywords: Euler method
describes a project that uses: Algorithm 38
MaRDI profile type: Publication
full work available at URL: 0168-9274(88)90019-0
OpenAlex ID: W1971866813
cites work: An algorithm for the summation of series
cites work: The summation of power series and Fourier series
cites work: The summation of series
cites work: Complementary moments and the summation of series
cites work: Q3228715
cites work: On a Device for Computing the e m (S n ) Transformation
cites work: A note on the generalised Euler transformation
cites work: Convergence acceleration on a general class of power series
cites work: Algorithm 38. Two computer codes for convergence acceleration
cites work: On the stability of a class of convergence acceleration methods for power series
description: scientific article; zbMATH DE number 4048900