On quadrature error expansions. I

DOI10.1016/0377-0427(87)90043-4zbMath0621.41021OpenAlexW2033328331MaRDI QIDQ1089854

Elise De Doncker-Kapenga, J. N. Lyness

Publication date: 1987

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

Full work available at URL: https://doi.org/10.1016/0377-0427(87)90043-4

zbMATH Keywords

numerical quadratureone-point quadrature rulequadrature erroralgebraic singularities

Mathematics Subject Classification ID

Approximate quadratures (41A55)

Related Items

Quadrature error expansions. II: The full corner singularity ⋮ An error expansion for cubature with an integrand with homogeneous boundary singularities ⋮ Integrating composed singularities using nonuniform subdivision and extrapolation ⋮ Extrapolation methods in numerical integration

Cites Work

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• On the remainder term in the N-dimensional Euler Maclaurin expansion
• Bemerkungen zur Romberg-Integration
• An Error Functional Expansion for N-Dimensional Quadrature with an Integrand Function Singular at a Point
• Romberg integration for a class of singular integrands
• Numerical Quadrature and Asymptotic Expansions