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• W2886174955 abstract "In this paper, the computation of Hilbert singular integral with generalized composite Simpson’s rule for is discussed. When singular points coincide with some a priori known point, the convergence rate of Simpson’s rule higher than global one, we obtain the pointwise superconvergence phenomenon. Which means the especial function equal zero, the superconvergence points are got. Then choosing the superconvergence point as the collocation points, we get a collocation scheme for solving the relevant Hilbert integral equation. At last, some numerical examples are presented to validate the theoretical analysis." @default.
• W2886174955 created "2018-08-22" @default.
• W2886174955 creator A5016171406 @default.
• W2886174955 creator A5038147256 @default.
• W2886174955 date "2018-12-01" @default.
• W2886174955 modified "2023-10-15" @default.
• W2886174955 title "Simpson’s rule to approximate Hilbert integral and its application" @default.
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• W2886174955 doi "https://doi.org/10.1016/j.amc.2018.07.011" @default.
• W2886174955 hasPublicationYear "2018" @default.
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