On Euler-Maclaurin formula

DOI10.1016/j.cam.2015.10.023zbMath1328.65007OpenAlexW1844082687MaRDI QIDQ898986

François Dubeau

Publication date: 21 December 2015

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

Full work available at URL: https://doi.org/10.1016/j.cam.2015.10.023

zbMATH Keywords

Taylor's expansionEuler-Maclaurin formulaoptimal error boundsPeano kernelcomposite rulecorrected quadrature rule

Mathematics Subject Classification ID

Approximate quadratures (41A55) Euler-Maclaurin formula in numerical analysis (65B15) Numerical integration (65D30)

Related Items (1)

Summation Formulas of Euler–Maclaurin and Abel–Plana: Old and New Results and Applications

Cites Work

• Generalizations of the Euler-Maclaurin formula
• Character analogues of the Poisson and Euler-MacLaurin summation formulas with applications
• Euler-Boole Summation Revisited
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