Integrating composed singularities using nonuniform subdivision and extrapolation

DOI10.1016/S0377-0427(99)00227-7zbMath0940.65026MaRDI QIDQ1964095

Terje O. Espelid, Kristoffer Singstad

Publication date: 19 July 2000

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

zbMATH Keywords

stabilityerror estimatessingular integralsextrapolationhomogeneous functionsmultidimensional integralsnonuniform subdivisionadaptive cubature algorithm

Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Uses Software

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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
• Applications of extrapolation techniques to multidimensional quadrature of some integrand functions with a singularity
• On integrating vertex singularities using extrapolation
• DECUHR: An algorithm for automatic integration of singular functions over a hyperrectangular region
• Quadrature Error Functional Expansions for the Simplex When the Integrand Function has Singularities at Vertices
• New Euler-Maclaurin Expansions and Their Application to Quadrature Over the s-Dimensional Simplex
• An Error Functional Expansion for N-Dimensional Quadrature with an Integrand Function Singular at a Point
• An adaptive algorithm for the approximate calculation of multiple integrals
• Algorithm 698: DCUHRE

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