On computation of finite-part integrals of highly oscillatory functions

Numerical approximation and computational geometry (primarily algorithms) (65Dxx) Numerical methods in Fourier analysis (65Txx) Approximations and expansions (41Axx)

Cites Work

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Filon-Clenshaw-Curtis rules for a class of highly-oscillatory integrals with logarithmic singularities
A practical algorithm for computing Cauchy principal value integrals of oscillatory functions
Efficient quadrature of highly oscillatory integrals with algebraic singularities
An improved algorithm for the evaluation of Cauchy principal value integrals of oscillatory functions and its application
A new algorithm for Cauchy principal value and Hadamard finite-part integrals
A method for numerical integration on an automatic computer
On uniform approximations to hypersingular finite-part integrals
Suitable Gauss and Filon-type methods for oscillatory integrals with an algebraic singularity
Definitions, properties and applications of finite-part integrals
Uniform approximations to Cauchy principal value integrals of oscillatory functions
An extension of Clenshaw-Curtis quadrature
An additive Schwarz preconditioner for \(p\)-version boundary element approximation of the hypersingular operator in three dimensions
On quadrature of highly oscillatory integrals with logarithmic singularities
Efficient evaluation of oscillatory Bessel Hilbert transforms
On error bounds of Filon-Clenshaw-Curtis quadrature for highly oscillatory integrals
Fast computation of a class of highly oscillatory integrals
Quadrature Formulae for Cauchy Principal Value Integrals of Oscillatory Kind
Evaluations of hypersingular integrals using Gaussian quadrature
Efficient quadrature of highly oscillatory integrals using derivatives
Is Gauss Quadrature Better than Clenshaw–Curtis?
A Fast Algorithm for the Electromagnetic Scattering from a Large Cavity

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