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- W2549711105 abstract "In this paper, we present a kind of quadrature rules for evaluating hyper-singular integrals ( int _{a}^{b}g(x)q^{alpha }(x,t)dx) and (int _{a}^{b}g(x)q^{alpha }(x,t)ln |x-t| dx), where (q(x,t)=|x-t|) (or (x-t)), (tin (a,b)) and (alpha le -1)(or (alpha <-1)). Since the derivatives of density function g(x) in the quadrature formulas can be eliminated by means of the extrapolation method, the formulas can be easily applied to solving corresponding hyper-singular boundary integral equations. The reliability and efficiency of the proposed formulas in this paper are demonstrated by some numerical examples." @default.
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- W2549711105 date "2016-11-09" @default.
- W2549711105 modified "2023-09-27" @default.
- W2549711105 title "Euler–Maclaurin Expansions and Quadrature Formulas of Hyper-singular Integrals with an Interval Variable" @default.
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- W2549711105 doi "https://doi.org/10.1007/978-3-319-38789-5_34" @default.
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