The evaluation of oscillatory integrals with infinite limits

DOI10.1016/0021-9991(73)90047-8zbMath0278.65028OpenAlexW2024272990MaRDI QIDQ1394080

Ayse Alaylioglu, J. Hyslop, Gwynne Evans

Publication date: 1973

Published in: Journal of Computational Physics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0021-9991(73)90047-8

Mathematics Subject Classification ID

Numerical integration (65D30)

Related Items (12)

Extrapolation methods for divergent oscillatory infinite integrals that are defined in the sense of summability ⋮ Evaluating infinite range oscillatory integrals using generalised quadrature methods ⋮ A short tale of long tail integration ⋮ Partition-extrapolation methods for numerical quadratures ⋮ The evaluation of infinite range oscillatory integrals using optimal contours in the complex plane ⋮ On numerical computation of integrals with integrands of the form \(f(x)\sin(w/x^r)\) on [0,1] ⋮ Suitable Gauss and Filon-type methods for oscillatory integrals with an algebraic singularity ⋮ The evaluation of integrals with oscillatory integrands ⋮ Numerical evaluation of oscillatory integrals such as the modified Bessel function \(K_{i\zeta}(x)\) ⋮ On high precision methods for the evaluation of Fourier integrals with finite and infinite limits ⋮ Comparison of some methods for evaluating infinite range oscillatory integrals ⋮ An expansion method for irregular oscillatory integrals

Cites Work

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• A method for numerical calculation of Fourier integrals
• On numerical quadrature of Fourier transforms
• A Method for the Numerical Evaluation of Finite Integrals of Oscillatory Functions
• Numerical Quadrature of Fourier Transform Integrals
• Numerical Quadrature of Fourier Transform Integrals II
• The Calculation of Fourier Integrals
• A Modification of Filon's Method of Numerical Integration

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