Euler-Maclaurin expansions for integrals with arbitrary algebraic-logarithmic endpoint singularities

DOI10.1007/s00365-011-9140-0zbMath1329.41041OpenAlexW2065132199MaRDI QIDQ1935021

Avram Sidi

Publication date: 30 January 2013

Published in: Constructive Approximation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00365-011-9140-0

zbMATH Keywords

Stieltjes constantsasymptotic expansionszeta functionlogarithmic singularitiesHadamard finite parttrapezoidal ruleendpoint singularitiesEuler-Maclaurin expansionsalgebraic singularities

Mathematics Subject Classification ID

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Euler-Maclaurin formula in numerical analysis (65B15) Asymptotic representations in the complex plane (30E15)

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Uses Software

• DLMF

Cites Work

• Further extension of a class of periodizing variable transformations for numerical integration
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• An Extension of the Euler-Maclaurin Summation Formula to Functions with a Branch Singularity
• The Riesz energy of the N th roots of unity: an asymptotic expansion for large N
• A Further Extension of the Euler-Maclaurin Summation Formula
• Practical Extrapolation Methods
• Numerical Quadrature and Asymptotic Expansions
• Extension of a class of periodizing variable transformations for numerical Integration
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