Approximation of Cauchy-type singular integrals with high frequency Fourier kernel
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Publication:2040851
DOI10.1016/j.enganabound.2021.05.017OpenAlexW3166441170WikidataQ114183256 ScholiaQ114183256MaRDI QIDQ2040851
Sakhi Zaman, Suliman Khan, Siraj-ul-islam
Publication date: 14 July 2021
Published in: Engineering Analysis with Boundary Elements (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.enganabound.2021.05.017
Cauchy principal value integralssplitting algorithmsmeshfree methodChebyshev differentiation matrixmulti-resolution quadrature
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Meshless procedure for highly oscillatory kernel based one-dimensional Volterra integral equations ⋮ Interpolation based formulation of the oscillatory finite Hilbert transforms ⋮ A novel high-performance quadrature rule for BEM formulations ⋮ Approximation of oscillatory Bessel integral transforms ⋮ A bivariate Filon-Clenshaw-Curtis method of the highly oscillatory integrals on a square ⋮ Efficient computation of oscillatory Bessel transforms with a singularity of Cauchy type ⋮ Efficient computational methods of highly oscillatory Bessel transforms with a singular point of Cauchy type and a nonlinear special oscillator ⋮ Effective collocation methods to solve Volterra integral equations with weakly singular highly oscillatory Fourier or Airy kernels
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