We propose a fast summation algorithm for some slowly convergent power series. Such series embody many cases treated by specific methods in the recent literature on acceleration. The effectiveness of the resulting method, termed ASM (Asymptotic Summation Method), is shown by several numerical tests.
Fast summation of power series with coefficients analytic at infinity
SOMMARIVA, ALVISE;VIANELLO, MARCO;ZANOVELLO, RENATO
2001
Abstract
We propose a fast summation algorithm for some slowly convergent power series. Such series embody many cases treated by specific methods in the recent literature on acceleration. The effectiveness of the resulting method, termed ASM (Asymptotic Summation Method), is shown by several numerical tests.
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