The classical bounds on the truncation errorofquadrature formulas obtained by Peano's Theorem are revisited, by assuming slightly stronger regularity conditions on the integrand function. The resulting series expansionof the error can be useful when studying the asymptotic complexity of automatic quadrature algorithms. New constants, related to the classical error coefficients are tabulated for the most common symmetric interpolatory rules.
Asymptotic expansion of error in interpolatory quadrature
ROMANI, FRANCESCO;
1992-01-01
Abstract
The classical bounds on the truncation errorofquadrature formulas obtained by Peano's Theorem are revisited, by assuming slightly stronger regularity conditions on the integrand function. The resulting series expansionof the error can be useful when studying the asymptotic complexity of automatic quadrature algorithms. New constants, related to the classical error coefficients are tabulated for the most common symmetric interpolatory rules.File in questo prodotto:
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