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Convergence acceleration on a general class of power series

✍ Scribed by S. -Å. Gustafson


Publisher
Springer Vienna
Year
1978
Tongue
English
Weight
689 KB
Volume
21
Category
Article
ISSN
0010-485X

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If the coefficients in a Fourier cosine series, f ðxÞ % f N ¼ P 1 n¼0 a n cosðnxÞ, decrease as a small negative power of n, then one may need millions of terms to sum the series to high accuracy. We show that if the a n are known analytically and have a power series in 1=n, then it is straightforwar