Efficient computation of highly oscillatory Fourier-type integrals with monomial phase functions and Jacobi-type singularities
DOI10.1016/j.apnum.2019.10.007OpenAlexW2980697600WikidataQ127030055 ScholiaQ127030055MaRDI QIDQ2301297
Publication date: 24 February 2020
Published in: Applied Numerical Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.apnum.2019.10.007
Orthogonal polynomials and functions of hypergeometric type (Jacobi, Laguerre, Hermite, Askey scheme, etc.) (33C45) Orthogonal functions and polynomials, general theory of nontrigonometric harmonic analysis (42C05) Research exposition (monographs, survey articles) pertaining to special functions (33-02) Numerical approximation and evaluation of special functions (33F05) Research exposition (monographs, survey articles) pertaining to harmonic analysis on Euclidean spaces (42-02) Numerical analysis (65-XX) Special functions (33-XX) Harmonic analysis on Euclidean spaces (42-XX) Hypergeometric functions (33Cxx) Nontrigonometric harmonic analysis (42Cxx) Computational aspects of special functions (33Fxx)
Uses Software
Cites Work
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- Evaluating infinite range oscillatory integrals using generalised quadrature methods
- On numerical computation of integrals with integrands of the form \(f(x)\sin(w/x^r)\) on [0,1]
- Suitable Gauss and Filon-type methods for oscillatory integrals with an algebraic singularity
- An improved Levin quadrature method for highly oscillatory integrals
- On the computation of Fourier transforms of singular functions
- A method to generate generalized quadrature rules for oscillatory integrals
- On stratified extensions of Gauss-Laguerre and Gauss-Hermite quadrature formulas
- Fast computation of singular oscillatory Fourier transforms
- Fast integration of rapidly oscillatory functions
- An asymptotic Filon-type method for infinite range highly oscillatory integrals with exponential kernel
- Computation of integrals with oscillatory and singular integrands using Chebyshev expansions
- Fast computation of a class of highly oscillatory integrals
- Modified anti-Gauss and degree optimal average formulas for Gegenbauer measure
- Quadrature formulas obtained by variable transformation
- On the Evaluation of Highly Oscillatory Integrals by Analytic Continuation
- The numerical evaluation of a class of singular, oscillatory integrals
- Procedures for Computing One- and Two-Dimensional Integrals of Functions with Rapid Irregular Oscillations
- Anti-Gaussian quadrature formulas
- Efficient quadrature of highly oscillatory integrals using derivatives
- Calculation of Gauss Quadrature Rules
- A Modification of Filon's Method of Numerical Integration
- The double-exponential transformation in numerical analysis
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