Asymptotic estimates for the error of the Gauss-Legendre quadrature formula
Open Access
- 1 January 1968
- journal article
- Published by Oxford University Press (OUP) in The Computer Journal
- Vol. 11 (3) , 339-340
- https://doi.org/10.1093/comjnl/11.3.339
Abstract
Estimates for the error of the Gauss-Legendre quadrature are obtained, for large n, by Davis' method employing the double as well as the line integral norms. It is shown that the error estimate derived through the line integral norm is better than that obtained through the double integral norm; in fact, the latter estimate over-estimates the error nearly by a factor of (2n + 1)1/2.Keywords
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