Quadrature over the sphere

zbMath1078.65018MaRDI QIDQ2388707

Alvise Sommariva, Kendall E. Atkinson

Publication date: 19 September 2005

Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/125453

zbMATH Keywords

convergencequadrature ruleasymptotic behaviourremainder termtrapezoidal rulespherical integrationEuler-MacLaurin representation

Mathematics Subject Classification ID

Multidimensional problems (41A63) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Remainders in approximation formulas (41A80)

Related Items (4)

Harmonic analysis for star graphs and the spherical coordinate trapezoidal rule ⋮ Numerical integration over smooth surfaces in \(\mathbb R^3\) via class \(\mathcal Y_m\) variable transformations. II: Singular integrands ⋮ A novel class of symmetric and nonsymmetric periodizing variable transformations for numerical integration ⋮ Analysis of Atkinson's variable transformation for numerical integration over smooth surfaces in \(\mathbb R^{3}\)

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