Application of class \(\mathcal I_{m}\) variable transformations to numerical integration over surfaces of spheres

DOI10.1016/j.cam.2005.01.022zbMath1077.65022OpenAlexW1967893253MaRDI QIDQ2566269

Avram Sidi

Publication date: 22 September 2005

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

Full work available at URL: https://doi.org/10.1016/j.cam.2005.01.022

zbMATH Keywords

convergenceasymptotic expansionnumerical examplesEuler-Maclaurin expansionvariable transformationsproduct trapezoidal ruledouble-layer singularityfinite-range integralsintegrals on surfaces of spheressingle-layer singularity

Mathematics Subject Classification ID

Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Euler-Maclaurin formula in numerical analysis (65B15)

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Cites Work

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• Quadrature of singular integrands over surfaces
• Euler-Maclaurin expansions for integrals with endpoint singularities: A new perspective
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• Practical Extrapolation Methods
• Development of non-linear transformations for improving convergence of sequences
• On a Device for Computing the e m (S n ) Transformation