Numerical evaluation of certain hypersingular integrals using refinable operators
From MaRDI portal
Publication:417968
DOI10.1016/j.matcom.2010.07.006zbMath1244.65037OpenAlexW1964969998MaRDI QIDQ417968
Publication date: 14 May 2012
Published in: Mathematics and Computers in Simulation (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1016/j.matcom.2010.07.006
algorithmconvergencequadrature formularefinable functionshypersingular integralsHadamard finite-part integralquasi-interpolatory operatorssubtraction of the singularity
Related Items (7)
A novel fast modification of the Adomian decomposition method to solve integral equations of the first kind with hypersingular kernels ⋮ A least squares-based approach to evaluating strongly singular integrals ⋮ Efficient quadrature rules based on spline quasi-interpolation for application to IGA-BEMs ⋮ A new modified Adomian decomposition method for solving a class of hypersingular integral equations of second kind ⋮ Numerical evaluation of new quadrature rules using refinable operators ⋮ Efficient assembly based on B-spline tailored quadrature rules for the IgA-SGBEM ⋮ Euler-Maclaurin expansions and approximations of hypersingular integrals
Cites Work
- Numerical integration based on approximating splines
- Matrices and quadrature rules for wavelets
- Modified compound quadrature rules for strongly singular integrals
- Numerical evaluation of hypersingular integrals
- Application of approximating splines for the solution of Cauchy singular integral equations
- Sigmoidal transformations and the Euler-Maclaurin expansion for evaluating certain Hadamard finite-part integrals
- On the uniform convergence of Cauchy principal values of quasi-interpolating splines
- On the evaluation of Cauchy principal value integrals by rules based on quasi-interpolating splines
- Numerical integration based on quasi-interpolating splines
- Newton-Cotes formulae for the numerical evaluation of certain hypersingular integrals
- Convergence properties of certain refinable quasi-interpolatory operators
- Evaluations of certain hypersingular integrals on interval
- Evaluations of hypersingular integrals using Gaussian quadrature
- Improvement of the asymptotic behaviour of the Euler–Maclaurin formula for Cauchy principal value and Hadamard finite‐part integrals
- Positive refinable operators
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
This page was built for publication: Numerical evaluation of certain hypersingular integrals using refinable operators
