An automatic integration procedure for infinite range integrals involving oscillatory kernels

DOI10.1007/BF02143123zbMath0879.65015OpenAlexW2002404269MaRDI QIDQ2564495

Avram Sidi, Takemitsu Hasegawa

Publication date: 15 January 1997

Published in: Numerical Algorithms (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/bf02143123

zbMATH Keywords

numerical examplesautomatic integrationoscillatory kernelsintegrals involving Bessel functionsinfinite range integrals

Mathematics Subject Classification ID

Other functions defined by series and integrals (33E20) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32) Bessel and Airy functions, cylinder functions, ({}_0F_1) (33C10)

Related Items (8)

Evaluating infinite integrals involving Bessel functions of arbitrary order ⋮ An automatic quadrature method for semi-infinite integrals of exponentially decaying functions and its Matlab code ⋮ A truncated Clenshaw-Curtis formula approximates integrals over a semi-infinite interval ⋮ Computation of infinite integrals involving Bessel functions of arbitrary order by the \(\overline{D}\)-transformation ⋮ Uniform approximation to finite Hilbert transform of oscillatory functions and its algorithm ⋮ An Algorithm for Nondominant Solutions of Linear Second-Order Inhomogeneous Difference Equations ⋮ A user-friendly method for computing indefinite integrals of oscillatory functions ⋮ Scalar Levin-type sequence transformations

Uses Software

• QUADPACK
• DQAINT
• DQAINF
• UNCMND
• Clenshaw-Curtis
• pchip
• Algorithm 639

Cites Work

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