Applications of extrapolation techniques to multidimensional quadrature of some integrand functions with a singularity

DOI10.1016/0021-9991(76)90087-5zbMath0336.65015OpenAlexW2021240187MaRDI QIDQ1230349

J. N. Lyness

Publication date: 1976

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(76)90087-5

Mathematics Subject Classification ID

Multidimensional problems (41A63) Numerical integration (65D30)

Related Items (16)

Quadrature error expansions. II: The full corner singularity ⋮ On integrating vertex singularities using extrapolation ⋮ High order expanding domain methods for the solution of Poisson's equation in infinite domains ⋮ Numerical Solution of an Exterior Neumann Problem Using a Double Layer Potential ⋮ Regularization with numerical extrapolation for finite and UV-divergent multi-loop integrals ⋮ Variogram calculations for random fields on regular lattices using quadrature methods ⋮ Integrating composed singularities using nonuniform subdivision and extrapolation ⋮ Volume integrals for boundary element methods ⋮ Some results of convergence acceleration for a general \(\Theta\)-type algorithm ⋮ Extrapolation methods in numerical integration ⋮ Numerical calculation of weakly singular surface integrals ⋮ Computation of loop integrals using extrapolation ⋮ On a conjecture in multidimensional quadrature ⋮ Generalized neville type extrapolation schemes ⋮ Asymptotic expansions for two-dimensional hypersingular integrals ⋮ Transformation of hypersingular integrals and black-box cubature

Cites Work

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• Bemerkungen zur Romberg-Integration
• An Error Functional Expansion for N-Dimensional Quadrature with an Integrand Function Singular at a Point
• Numerical Quadrature and Asymptotic Expansions

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