On numerical computation of integrals with integrands of the form \(f(x)\sin(w/x^r)\) on [0,1]

DOI10.1016/j.cam.2008.01.018zbMath1155.65023OpenAlexW1978616932MaRDI QIDQ953402

A. Ihsan Hasçelik

Publication date: 20 November 2008

Published in: Journal of Computational and Applied Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.cam.2008.01.018

zbMATH Keywords

algorithmsorthogonal polynomialsnumerical examplesGaussian quadraturehighly oscillatory integralsdensely oscillating weight functions

Mathematics Subject Classification ID

Numerical mathematical programming methods (65K05) Approximate quadratures (41A55) Numerical quadrature and cubature formulas (65D32)

Related Items

Quadrature rules and asymptotic expansions for two classes of oscillatory Bessel integrals with singularities of algebraic or logarithmic type, A method for efficient computation of integrals with oscillatory and singular integrand, On the calculation of highly oscillatory integrals with an algebraic singularity, ASYMPTOTIC EXPANSION OF OSCILLATORY INTEGRALS WITH SINGULAR PHASES, Suitable Gauss and Filon-type methods for oscillatory integrals with an algebraic singularity, On the asymptotic order of Filon-type methods for highly oscillatory integrals with an algebraic singularity, Error bounds for approximation in Chebyshev points, Numerical methods for two classes of singularly oscillatory Bessel transforms and their error analysis, Efficient computation of highly oscillatory Fourier-type integrals with monomial phase functions and Jacobi-type singularities

Uses Software

• Mathematica
• Matlab
• OPQ
• OWF

Cites Work

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