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Efficient and accurate quadrature methods of Fourier integrals with a special oscillator and weak singularities

Hongchao Kang, Ruoxia Wang, Meijuan Zhang and Chunzhi Xiang

Applied Mathematics and Computation, 2023, vol. 440, issue C

Abstract: The recent article (J. Math. Anal. Appl. 494 (2021), Article number: 124448) presented an asymptotic Filon-type method for computing the oscillatory integral with a special oscillator and weak singularities, ∫0bxα(b−x)βf(x)eiωxrdx,−1<α,β≤0,0Keywords: Weak singularities; Contour integration method; Two-point Taylor interpolation method; Generalized Gaussian-Laguerre quadrature rule (search for similar items in EconPapers)
Date: 2023
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Persistent link: https://EconPapers.repec.org/RePEc:eee:apmaco:v:440:y:2023:i:c:s0096300322005665

DOI: 10.1016/j.amc.2022.127492

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