Clenshaw-Curtis-type quadrature rule for hypersingular integrals with highly oscillatory kernels
From MaRDI portal
Publication:2007678
DOI10.1016/j.amc.2018.08.004zbMath1429.65048OpenAlexW2891890888MaRDI QIDQ2007678
Publication date: 22 November 2019
Published in: Applied Mathematics and Computation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.amc.2018.08.004
Related Items (13)
Numerical methods for Cauchy principal value integrals of oscillatory Bessel functions ⋮ Efficient algorithms for integrals with highly oscillatory Hankel kernels ⋮ Asymptotics and numerical approximation of highly oscillatory Hilbert transforms ⋮ Efficient computation of oscillatory Bessel transforms with a singularity of Cauchy type ⋮ Efficient numerical methods for hypersingular finite-part integrals with highly oscillatory integrands ⋮ Effective collocation methods to solve Volterra integral equations with weakly singular highly oscillatory Fourier or Airy kernels ⋮ New algorithms for approximating oscillatory Bessel integrals with Cauchy-type singularities ⋮ An efficient quadrature rule for weakly and strongly singular integrals ⋮ Numerical steepest descent method for Hankel type of hypersingular oscillatory integrals in electromagnetic scattering problems ⋮ Extended error expansion of classical midpoint rectangle rule for Cauchy principal value integrals on an interval ⋮ Efficient methods for highly oscillatory integrals with weakly singular and hypersingular kernels ⋮ Efficient numerical methods for Cauchy principal value integrals with highly oscillatory integrands ⋮ Efficient and accurate quadrature methods of Fourier integrals with a special oscillator and weak singularities
Uses Software
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- An improved algorithm for the evaluation of Cauchy principal value integrals of oscillatory functions and its application
- Numerical solution of Cauchy-type integral equations of index \(-1\) by collocation methods
- A new algorithm for Cauchy principal value and Hadamard finite-part integrals
- Error bounds for approximation in Chebyshev points
- A method for numerical integration on an automatic computer
- On the evaluation of hyper-singular integrals arising in the boundary element method for linear elasticity
- On uniform approximations to hypersingular finite-part integrals
- A new efficient method for cases of the singular integral equation of the first kind
- Suitable Gauss and Filon-type methods for oscillatory integrals with an algebraic singularity
- On the evaluation of Cauchy principal value integrals of oscillatory functions
- Definitions, properties and applications of finite-part integrals
- Uniform approximations to Cauchy principal value integrals of oscillatory functions
- On the approximate computation of certain strongly singular integrals
- On the computation of Fourier transforms of singular functions
- Collocation with Chebyshev polynomials for a hypersingular integral equation on an interval
- Numerical evaluation of hypersingular integrals
- Sigmoidal transformations and the Euler-Maclaurin expansion for evaluating certain Hadamard finite-part integrals
- On quadrature for Cauchy principal value integrals of oscillatory functions.
- Efficient computation of highly oscillatory integrals with Hankel kernel
- Numerical solution of various cases of Cauchy type singular integral equation
- A method for the practical evaluation of the Hilbert transform on the real line
- Numerical solution of systems of Cauchy singular integral equations with constant coefficients
- Quadrature rules for weakly singular, strongly singular, and hypersingular integrals in boundary integral equation methods
- The superconvergence of Newton-Cotes rules for the Hadamard finite-part integral on an interval
- The numerical solution of linear recurrence relations
- Efficient computation of highly oscillatory integrals with weak singularities by Gauss-type method
- Filon--Clenshaw--Curtis Rules for Highly Oscillatory Integrals with Algebraic Singularities and Stationary Points
- Efficient methods for highly oscillatory integrals with weak and Cauchy singularities
- Newton-Cotes rules for Hadamard finite-part integrals on an interval
- Stability and error estimates for Filon-Clenshaw-Curtis rules for highly oscillatory integrals
- How to deal with hypersingular integrals in the symmetric BEM
- Asymptotic Representations of Fourier Integrals and the Method of Stationary Phase
- Numerical Quadratures for Singular and Hypersingular Integrals in Boundary Element Methods
- On the Uniform Convergence of Gaussian Quadrature Rules for Cauchy Principal Value Integrals and Their Derivatives
- Quadrature Formulae for Cauchy Principal Value Integrals of Oscillatory Kind
- Evaluations of hypersingular integrals using Gaussian quadrature
- On the use of interpolative quadratures for hypersingular integrals in fracture mechanics
- Numerical integration schemes for the BEM solution of hypersingular integral equations
- 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
- On Interpolation Approximation: Convergence Rates for Polynomial Interpolation for Functions of Limited Regularity
- Hypersingular integrals in boundary element fracture analysis
- Gauss quadrature rules for finite part integrals
- A new efficient method with error analysis for solving the second kind Fredholm integral equation with Cauchy kernel
This page was built for publication: Clenshaw-Curtis-type quadrature rule for hypersingular integrals with highly oscillatory kernels
