Asymptotic expansions for trapezoidal type product integration rules

DOI10.1016/S0377-0427(98)00021-1zbMath0930.65012MaRDI QIDQ1298616

Juan Carlos Santos-León

Publication date: 9 February 2000

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

zbMATH Keywords

comparison of methodsnumerical examplesasymptotic expansionsEuler-Maclaurin formulatrapezoidal type product integration rules

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Euler-Maclaurin formula in numerical analysis (65B15)

Related Items (3)

An extension of trapezoidal type product integration rules ⋮ Numerical schemes for integro-differential equations with Erdélyi-Kober fractional operator ⋮ A fourth order product integration rule by using the generalized Euler-Maclaurin summation formula

Cites Work

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• Extrapolation methods in numerical integration
• On extrapolation of Jagerman and Stetter rules
• A note on certain generalizations of the midpoint rule
• Properties of certain piecewise polynomial product integration rules
• Product Integration in the Presence of a Singularity
• Asymptotic Expansions for Product Integration
• Investigation of a Modified Mid-Point Quadrature Formula
• On a Generalization of the Midpoint Rule
• Numerical Quadrature and Asymptotic Expansions
• Further Asymptotic Expansions for the Error Functional

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