An error expansion for cubature with an integrand with homogeneous boundary singularities

DOI10.1007/BF01385758zbMath0795.41029OpenAlexW2070102520MaRDI QIDQ1326456

Pierre Verlinden, Ann Haegemans

Publication date: 8 September 1994

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133741

zbMATH Keywords

numerical integrationEuler-Maclaurin expansion

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Numerical integration (65D30)

Related Items (5)

Euler-Maclaurin expansions for integrals with endpoint singularities: A new perspective ⋮ Euler-Maclaurin expansions for integrals with arbitrary algebraic-logarithmic endpoint singularities ⋮ Acceleration of Gauss-Legendre quadrature for an integrand with an endpoint singularity ⋮ The generalized Euler-Maclaurin formula for the numerical solution of Abel-type integral equations ⋮ Asymptotic expansions for two-dimensional hypersingular integrals

Uses Software

• QUADPACK

Cites Work

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• Euler-MacLaurin expansions for integrals over triangles and squares of functions having algebraic/logarithmic singularities along an edge
• On quadrature error expansions. I
• Ausdehnung des Rombergschen Prinzips
• Quadrature error expansions. II: The full corner singularity
• Quadrature Error Functional Expansions for the Simplex When the Integrand Function has Singularities at Vertices
• An Error Functional Expansion for N-Dimensional Quadrature with an Integrand Function Singular at a Point
• Quadrature over a Simplex: Part 1. A Representation for the Integrand Function

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