Remarks on an expansion for integrals of rapidly oscillating functions

DOI10.1007/BF01933520zbMath0273.65019MaRDI QIDQ5180756

Tore Havie

Publication date: 1973

Published in: BIT (Search for Journal in Brave)

Mathematics Subject Classification ID

Numerical integration (65D30)

Related Items (11)

A three-point formula for numerical quadrature of oscillatory integrals with variable frequency ⋮ On the error term of the Filon quadrature formulae ⋮ Numerical Integration of Highly Oscillating Functions ⋮ Numerical calculation of integrals involving oscillatory and singular kernels and some applications of quadratures ⋮ Numerical evaluation of the zero-order Hankel transform using Filon quadrature philosophy ⋮ Some expansions for integrals with weight functions ⋮ Error estimates for Filon quadrature formulae ⋮ Method for numerical integration of rapidly oscillating functions in diffraction theory ⋮ RCMS: Right correction Magnus series approach for oscillatory ODEs ⋮ Evaluation of first-order Hankel transforms using Filon quadrature philosophy ⋮ An Asymptotic Formula for a Type of Singular Oscillatory Integrals

Cites Work

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• Numerical calculation of fourier integrals with cubic splines
• On a modification of the Clenshaw-Curtis quadrature formula
• On the use of trigonometric approximations in extrapolation methods
• A numerical method for the integration of oscillatory functions
• A Modification of Filon's Method of Numerical Integration

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