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Fast Computation of Integrals with Fourier-Type Oscillator Involving Stationary Point

Author

Listed:
  • Sakhi Zaman

    (Department of Basic Sciences, University of Engineering and Technology, Peshawar 25000, Pakistan)

  • Irshad Hussain

    (Department of Electrical Engineering, University of Engineering and Technology, Peshawar 25000, Pakistan)

  • Dhananjay Singh

    (Department of Electronics Engineering, Hankuk University of Foreign Studies, Yongin 17035, Korea)

Abstract

An adaptive splitting algorithm was implemented for numerical evaluation of Fourier-type highly oscillatory integrals involving stationary point. Accordingly, a modified Levin collocation method was coupled with multi-resolution quadratures in order to tackle the stationary point and irregular oscillations of the integrand caused by ω . Some test problems are included to verify the accuracy of the proposed methods.

Suggested Citation

  • Sakhi Zaman & Irshad Hussain & Dhananjay Singh, 2019. "Fast Computation of Integrals with Fourier-Type Oscillator Involving Stationary Point," Mathematics, MDPI, vol. 7(12), pages 1-14, December.
    • Handle: RePEc:gam:jmathe:v:7:y:2019:i:12:p:1160-:d:293098
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