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

Author

Listed:
  • Kang, Hongchao
  • Wang, Ruoxia
  • Zhang, Meijuan
  • Xiang, Chunzhi

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≤0,0

Suggested Citation

  • Kang, Hongchao & Wang, Ruoxia & Zhang, Meijuan & Xiang, Chunzhi, 2023. "Efficient and accurate quadrature methods of Fourier integrals with a special oscillator and weak singularities," Applied Mathematics and Computation, Elsevier, vol. 440(C).
    • Handle: RePEc:eee:apmaco:v:440:y:2023:i:c:s0096300322005665
    DOI: 10.1016/j.amc.2022.127492
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    References listed on IDEAS

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    1. Liu, Guidong & Xiang, Shuhuang, 2019. "Clenshaw–Curtis-type quadrature rule for hypersingular integrals with highly oscillatory kernels," Applied Mathematics and Computation, Elsevier, vol. 340(C), pages 251-267.
    2. Li, Bin & Xiang, Shuhuang, 2019. "Efficient methods for highly oscillatory integrals with weakly singular and hypersingular kernels," Applied Mathematics and Computation, Elsevier, vol. 362(C), pages 1-1.
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    Cited by:

    1. Kang, Hongchao & Xu, Qi, 2023. "Quadrature formulae of many highly oscillatory Fourier-type integrals with algebraic or logarithmic singularities and their error analysis," Applied Mathematics and Computation, Elsevier, vol. 442(C).

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