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- W3048762500 abstract "In this paper we mainly focus on the asymptotic expansion and quadrature rule for a class of singular-oscillatory-Bessel-type transforms. The asymptotic expansion in inverse powers of the frequency ω is obtained after avoiding the singularities. Then, based on the asymptotic expansion, we successfully construct a so-called modified Filon-type quadrature rule. Meanwhile, we also give the corresponding error analysis on two rules in inverse powers of the large frequency ω. Some numerical examples based on theoretical results are presented to demonstrate the efficiency and accuracy of the proposed rules." @default.
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- W3048762500 date "2021-02-01" @default.
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- W3048762500 title "Asymptotic expansion and quadrature rule for a class of singular-oscillatory-Bessel-type transforms" @default.
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- W3048762500 doi "https://doi.org/10.1016/j.cam.2020.113141" @default.
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