Convergence acceleration on a general class of power series

descriptionPublicationkeyboard_double_arrow_right Article 01 Mar 1978 English Publisher:Springer Science and Business Media LLCJournal:Computing, volume 21, pages 53-69 (issn: 0010-485X, eissn: 1436-5057,

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Authors: Sven-Åke Gustafson;

doi: 10.1007/bf02252194

Convergence acceleration on a general class of power series

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Abstract

In this paper we present several efficient methods for evaluating functions defined by power series expansions. Simple computer codes for two rapid algorithms are given in a companion paper. The convergence rates of the proposed computational schemes are investigated theoretically and the results are illustrated by numerical examples.

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Australian National University
Australia

Keywords

Convergence Acceleration, Approximation to limiting values (summation of series, etc.), Numerical Examples, Power Series Expansions, Convergence Rates, Numerical summation of series, Convergence and divergence of series and sequences, Rapid Algorithms, Power Series, Efficient Methods of Evaluating Functions, Numerical quadrature and cubature formulas

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