On uniform approximations to hypersingular finite-part integrals
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Publication:898841
DOI10.1016/j.jmaa.2015.11.002zbMath1329.41036OpenAlexW2113495404MaRDI QIDQ898841
Chunhua Fang, Shuhuang Xiang, Zhen Hua Xu
Publication date: 21 December 2015
Published in: Journal of Mathematical Analysis and Applications (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.jmaa.2015.11.002
Related Items
Numerical methods for Cauchy principal value integrals of oscillatory Bessel functions ⋮ Efficient algorithms for integrals with highly oscillatory Hankel kernels ⋮ Asymptotics and numerical approximation of highly oscillatory Hilbert transforms ⋮ Numerical approximations of highly oscillatory Hilbert transforms ⋮ Efficient computational methods of highly oscillatory Bessel transforms with a singular point of Cauchy type and a nonlinear special oscillator ⋮ Efficient numerical methods for hypersingular finite-part integrals with highly oscillatory integrands ⋮ New algorithms for approximating oscillatory Bessel integrals with Cauchy-type singularities ⋮ An efficient quadrature rule for weakly and strongly singular integrals ⋮ Numerical computation of hypersingular integrals on the real semiaxis ⋮ Numerical steepest descent method for Hankel type of hypersingular oscillatory integrals in electromagnetic scattering problems ⋮ Uniform approximation to finite Hilbert transform of oscillatory functions and its algorithm ⋮ Clenshaw-Curtis-type quadrature rule for hypersingular integrals with highly oscillatory kernels ⋮ Efficient methods for highly oscillatory integrals with weakly singular and hypersingular kernels ⋮ Efficient numerical methods for Cauchy principal value integrals with highly oscillatory integrands ⋮ On fast multipole methods for Fredholm integral equations of the second kind with singular and highly oscillatory kernels
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