An efficient quadrature rule for weakly and strongly singular integrals
From MaRDI portal
Publication:2698209
DOI10.1016/j.amc.2023.127901OpenAlexW4320930796MaRDI QIDQ2698209
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.2023.127901
Numerical approximation and computational geometry (primarily algorithms) (65Dxx) Numerical methods for partial differential equations, boundary value problems (65Nxx) Approximations and expansions (41Axx)
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- High-order accurate methods for Nyström discretization of integral equations on smooth curves in the plane
- Numerical methods for the computation of the confluent and Gauss hypergeometric functions
- Error bounds for approximation in Chebyshev points
- A method for numerical integration on an automatic computer
- Boundary integral equations in time-harmonic acoustic scattering
- On uniform approximations to hypersingular finite-part integrals
- A Nyström method for boundary integral equations in domains with corners
- On the computation of Fourier transforms of singular functions
- Gauss-Jacobi quadratures for weakly, strongly, hyper- and nearly-singular integrals in boundary integral equation methods for domains with sharp edges and corners
- On fast and stable implementation of Clenshaw-Curtis and Fejér-type quadrature rules
- Clenshaw-Curtis-type quadrature rule for hypersingular integrals with highly oscillatory kernels
- Efficient calculation and asymptotic expansions of many different oscillatory infinite integrals
- On the rational Levin quadrature for evaluation of highly oscillatory integrals and its application
- Optimal decay rates on the asymptotics of orthogonal polynomial expansions for functions of limited regularities
- Efficient methods for highly oscillatory integrals with weakly singular and hypersingular kernels
- Quadrature rules for weakly singular, strongly singular, and hypersingular integrals in boundary integral equation methods
- Stability and error estimates for Filon-Clenshaw-Curtis rules for highly oscillatory integrals
- On the Convergence Rates of Gauss and Clenshaw--Curtis Quadrature for Functions of Limited Regularity
- The evaluation and application of some modified moments
- An Automatic Quadrature for Cauchy Principal Value Integrals
- An Algorithm for the Machine Calculation of Complex Fourier Series
- Is Gauss Quadrature Better than Clenshaw–Curtis?
- Implementing Clenshaw-Curtis quadrature, I methodology and experience
- Inverse acoustic and electromagnetic scattering theory
- Numerical quadratures for singular and hypersingular integrals
This page was built for publication: An efficient quadrature rule for weakly and strongly singular integrals
