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- W2804565591 abstract "Efficient discretization of spherical integrals is required in manynumerical methods associated with solving differential and integralequations on spherical domains. In this paper, we discuss adiscretization method that works particularly well with convolutionsof spherical integrals. We utilize this method to constructspherical basis function networks, which are subsequently employedto approximate the solutions of a variety of differential andintegral equations on spherical domains. We show that, to a largeextend, the approximation errors depend only on the smoothness ofthe spherical basis function. We also derive error estimates of thepertinent approximation schemes. As an application, we discuss aGalerkin type solutions for spherical Fredholm integral equations of the first kind, and obtain rates of convergence of the spherical basis function networks to the solutions of these equations." @default.
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- W2804565591 date "2013-01-01" @default.
- W2804565591 modified "2023-09-22" @default.
- W2804565591 title "Discretizing spherical integrals and its applications" @default.
- W2804565591 doi "https://doi.org/10.3934/proc.2013.2013.499" @default.
- W2804565591 hasPublicationYear "2013" @default.
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