Quadrature formulae of many highly oscillatory Fourier-type integrals with algebraic or logarithmic singularities and their error analysis
From MaRDI portal
Publication:2700370
DOI10.1016/j.amc.2022.127758OpenAlexW4313216528MaRDI QIDQ2700370
Publication date: 21 April 2023
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2022.127758
Fourier transformerror analysisrecurrence relationslogarithmic singularitieshighly oscillatory integralsalgebraic singularities
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Differentiation formulas of some hypergeometric functions with respect to all parameters
- Efficient integration for a class of highly oscillatory integrals
- A high order, progressive method for the evaluation of irregular oscillatory integrals
- A method for numerical integration on an automatic computer
- Efficient Filon-type methods for \(\int_a^b f(x)\,e^{i\omega g(x)}\, dx\)
- On the numerical approximation for Fourier-type highly oscillatory integrals with Gauss-type quadrature rules
- Computation of integrals with oscillatory and singular integrands using Chebyshev expansions
- A comparison of some methods for the evaluation of highly oscillatory integrals
- Efficient and accurate quadrature methods of Fourier integrals with a special oscillator and weak singularities
- Clenshaw-Curtis algorithms for an efficient numerical approximation of singular and highly oscillatory Fourier transform integrals
- Computation of oscillatory integrals with an exponential kernel and Jacobi-type singularities
- Computation of integrals with oscillatory singular factors of algebraic and logarithmic type
- Galerkin-Levin method for highly oscillatory integrals
- Quadrature methods based on the Clenshaw-Curtis method of integration
- The numerical solution of linear recurrence relations
- On quadrature methods for highly oscillatory integrals and their implementation
- Efficient computation of highly oscillatory integrals with weak singularities by Gauss-type method
- Erratum to "Clenshaw-Curtis-Filon-type methods for highly oscillatory Bessel transforms and applications" (IMA Journal of Numerical Analysis (2011)31: 1281-1314)
- Clenshaw-Curtis-Filon-type methods for highly oscillatory Bessel transforms and applications
- On the Evaluation of Highly Oscillatory Integrals by Analytic Continuation
- Procedures for Computing One- and Two-Dimensional Integrals of Functions with Rapid Irregular Oscillations
- Efficient quadrature of highly oscillatory integrals using derivatives
- Moment-free numerical integration of highly oscillatory functions
- Error Estimation in the Clenshaw-Curtis Quadrature Formula
- A Modification of Filon's Method of Numerical Integration
This page was built for publication: Quadrature formulae of many highly oscillatory Fourier-type integrals with algebraic or logarithmic singularities and their error analysis