Suitable Gauss and Filon-type methods for oscillatory integrals with an algebraic singularity
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Publication:960291
DOI10.1016/j.apnum.2007.12.002zbMath1158.65019OpenAlexW2025363317MaRDI QIDQ960291
Publication date: 16 December 2008
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2007.12.002
numerical examplesChebyshev nodesGaussian quadrature ruleFilon-type methodshighly oscillatory integralsdensely oscillating integrands
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 ⋮ Numerical Integration of Highly Oscillating Functions ⋮ On the calculation of highly oscillatory integrals with an algebraic singularity ⋮ On uniform approximations to hypersingular finite-part integrals ⋮ ASYMPTOTIC EXPANSION OF OSCILLATORY INTEGRALS WITH SINGULAR PHASES ⋮ Clenshaw-Curtis-type quadrature rule for hypersingular integrals with highly oscillatory kernels ⋮ On the asymptotic order of Filon-type methods for highly oscillatory integrals with an algebraic singularity ⋮ 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
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Cites Work
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