Defeating divergence

Defeating divergence It is frustrating when a power (or other) series fails to converge, preventing the straightforward calculation of values of a function of interest. Here, the discussion focuses on two algorithms, discovered long ago but not well known, by which the sums of series may be calculated arithmetically, notwithstanding the divergence of the series. A powerful example vindicates both methods. http://www.deepdyve.com/assets/images/DeepDyve-Logo-lg.png ChemTexts Springer Journals

Defeating divergence

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Publisher
Springer International Publishing
Copyright
Copyright © 2017 by Springer International Publishing AG
Subject
Chemistry; Chemistry/Food Science, general; Biochemistry, general; Environmental Chemistry
eISSN
2199-3793
D.O.I.
10.1007/s40828-017-0047-7
Publisher site
See Article on Publisher Site

Abstract

It is frustrating when a power (or other) series fails to converge, preventing the straightforward calculation of values of a function of interest. Here, the discussion focuses on two algorithms, discovered long ago but not well known, by which the sums of series may be calculated arithmetically, notwithstanding the divergence of the series. A powerful example vindicates both methods.

Journal

ChemTextsSpringer Journals

Published: Aug 7, 2017

References

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