An efficient quadrature rule for the oscillatory infinite generalized Bessel transform with a general oscillator and its error analysis

Asymptotic approximations, asymptotic expansions (steepest descent, etc.) (41A60) Numerical methods for integral transforms (65R10) Numerical quadrature and cubature formulas (65D32) Numerical integration (65D30)

Related Items (1)

Fast computation of highly oscillatory Bessel transforms

Cites Work

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On the evaluation of infinite integrals involving Bessel functions
Numerical approximations to integrals with a highly oscillatory Bessel kernel
On the implementation of the asymptotic Filon-type method for infinite integrals with oscillatory Bessel kernels
Numerical integration of oscillatory Airy integrals with singularities on an infinite interval
Efficient method for the computation of oscillatory Bessel transform and Bessel Hilbert transform
Numerical analysis of a fast integration method for highly oscillatory functions
Modified Clenshaw-Curtis method for the computation of Bessel function integrals
Evaluation of Bessel function integrals with algebraic singularities
Comparison of some methods for evaluating infinite range oscillatory integrals
On quadrature of Bessel transformations
Fast integration of rapidly oscillatory functions
An asymptotic Filon-type method for infinite range highly oscillatory integrals with exponential kernel
Asymptotic expansions and fast computation of oscillatory Hilbert transforms
On evaluation of oscillatory transforms from position to momentum space
Efficient calculation and asymptotic expansions of many different oscillatory infinite integrals
Levin methods for highly oscillatory integrals with singularities
Efficient evaluation of oscillatory Bessel Hilbert transforms
A unified framework for asymptotic analysis and computation of finite Hankel transform
Asymptotic analysis and numerical methods for oscillatory infinite generalized Bessel transforms with an irregular oscillator
Computation of integrals with oscillatory singular factors of algebraic and logarithmic type
Quadrature rules and asymptotic expansions for two classes of oscillatory Bessel integrals with singularities of algebraic or logarithmic type
Clenshaw-Curtis-Filon-type methods for highly oscillatory Bessel transforms and applications
On the Evaluation of Highly Oscillatory Integrals by Analytic Continuation
A Sparse Discretization for Integral Equation Formulations of High Frequency Scattering Problems
Fast integration of highly oscillatory integrals with exotic oscillators
Stability and Convergence of Collocation Schemes for Retarded Potential Integral Equations
A Fast Algorithm for the Electromagnetic Scattering from a Large Cavity

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