Integrating composed singularities using nonuniform subdivision and extrapolation
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Publication:1964095
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)
stabilityerror estimatessingular integralsextrapolationhomogeneous functionsmultidimensional integralsnonuniform subdivisionadaptive cubature algorithm
Multidimensional problems (41A63) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)
Uses Software
Cites Work
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- On quadrature error expansions. I
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- DECUHR: An algorithm for automatic integration of singular functions over a hyperrectangular region
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- 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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