Geodesic
Quadrature of singular integrands over surfaces
Electronic transactions on numerical analysis, Tome 17 (2004), pp. 133-150.

Voir la notice de l'article provenant de la source Electronic Library of Mathematics

Summary: Consider integration over a simple closed smooth surface in , one that is homeomorphic to the $\textcent $###$\sterling $unit sphere, and suppose the integrand has a point singularity. We propose a numerical integration method based on using transformations that lead to an integration problem over the unit sphere with an integrand that is much smoother. At this point, the trapezoidal rule is applied to the spherical coordinate representation of the problem.
Classification : 65D32, 65B15
Keywords: spherical integration, singular integrand, boundary integral, trapezoidal rule 
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     author = {Atkinson, Kendall},
     title = {Quadrature of singular integrands over surfaces},
     journal = {Electronic transactions on numerical analysis},
     pages = {133--150},
     publisher = {mathdoc},
     volume = {17},
     year = {2004},
     language = {en},
     url = {http://geodesic.mathdoc.fr/item/ETNA_2004__17__a6/}
}
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Atkinson, Kendall. Quadrature of singular integrands over surfaces. Electronic transactions on numerical analysis, Tome 17 (2004), pp. 133-150. http://geodesic.mathdoc.fr/item/ETNA_2004__17__a6/