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- W2080261710 abstract "In this paper we analyse a hybrid approximation of functions on the sphere ${mathbb S}^2 subset {mathbb R}^3$ by radial basis functions combined with polynomials, with the radial basis functions assumed to be generated by a (strictly) positive definite kernel. The approximation is determined by interpolation at scattered data points, supplemented by side conditions on the coefficients to ensure a square linear system. The analysis is first carried out in the native space associated with the kernel (with no explicit polynomial component, and no side conditions). A more refined error estimate is obtained for functions in a still smaller space. Numerical calculations support the utility of this hybrid approximation." @default.
- W2080261710 created "2016-06-24" @default.
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- W2080261710 date "2007-05-11" @default.
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- W2080261710 title "Approximation on the sphere using radial basis functions plus polynomials" @default.
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- W2080261710 doi "https://doi.org/10.1007/s10444-007-9048-1" @default.
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