✦ LIBER ✦

A Convergence Speeding Algorithm with Applications to Numerical Integration

✍ Scribed by John Stalker

Publisher: Elsevier Science
Year: 1999
Tongue: English
Weight: 183 KB
Volume: 22
Category: Article
ISSN: 0196-8858
DOI: 10.1006/aama.1998.0625

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✦ Synopsis

A new algorithm is presented for accelerating the convergence of sequences possessing an asymptotic expansion. This method is compared to methods already shown. Explicit error estimates are given and the algorithm is shown to be nearly optimal. The algorithm is applied to the problem of numerical integration, and is shown to give good results for real analytic integrands.

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