Euler-MacLaurin expansions for integrals over triangles and squares of functions having algebraic/logarithmic singularities along an edge

DOI10.1016/0021-9045(83)90067-9zbMath0533.41026OpenAlexW2011947122MaRDI QIDQ789640

Avram Sidi

Publication date: 1983

Published in: Journal of Approximation Theory (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9045(83)90067-9

zbMATH Keywords

numerical integrationdouble integralsEuler-Maclaurin expansionsone-dimensional trapezoidal ruleQuadrature rules

Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Euler-Maclaurin formula in numerical analysis (65B15)

Related Items (9)

Quadrature error expansions. II: The full corner singularity ⋮ An error expansion for cubature with an integrand with homogeneous boundary singularities ⋮ On integrating vertex singularities using extrapolation ⋮ Unnamed Item ⋮ Integrating composed singularities using nonuniform subdivision and extrapolation ⋮ Asymptotic error expansions for numerical solutions of one-dimensional problems with singularities ⋮ Extrapolation methods in numerical integration ⋮ Extrapolation methods and derivatives of limits of sequences ⋮ Asymptotic expansions for two-dimensional hypersingular integrals

Cites Work

• Unnamed Item
• An Extension of the Euler-Maclaurin Summation Formula to Functions with a Branch Singularity
• A Further Extension of the Euler-Maclaurin Summation Formula
• Quadrature Error Functional Expansions for the Simplex When the Integrand Function has Singularities at Vertices
• On the Numerical Evaluation of a Particular Singular Two-Dimensional Integral
• Some Properties of a Generalization of the Richardson Extrapolation Process
• An Error Functional Expansion for N-Dimensional Quadrature with an Integrand Function Singular at a Point

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