Approximation of weakly singular integral equations by sinc projection methods
From MaRDI portal
Publication:2203380
DOI10.1553/etna_vol52s416zbMath1450.65181arXiv1902.08562OpenAlexW3081106576MaRDI QIDQ2203380
Publication date: 6 October 2020
Published in: ETNA. Electronic Transactions on Numerical Analysis (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1902.08562
collocation methodFredholm integral equationconvolution methodweak singularityUrysohn integral operator
Numerical methods for integral equations (65R20) Integral operators (45P05) Numerical solutions to equations with nonlinear operators (65J15) Fredholm integral equations (45B05)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- A sinc quadrature method for the Urysohn integral equation
- Convergence analysis of sinc-collocation methods for nonlinear Fredholm integral equations with a weakly singular kernel
- Application of sinc-collocation method for solving a class of nonlinear Fredholm integral equations
- Modified projection method for Urysohn integral equations with non-smooth kernels
- Sinc-collocation methods for weakly singular Fredholm integral equations of the second kind
- Superconvergence of piecewise polynomial collocations for nonlinear weakly singular integral equations
- Integral equations with non integrable kernels
- A survey of numerical methods for solving nonlinear integral equations
- Singularity preserving Galerkin methods for weakly singular Fredholm integral equations
- Two-grid methods for nonlinear multi-dimensional weakly singular integral equations
- Error estimates with explicit constants for sinc approximation, sinc quadrature and sinc indefinite integration
- Numerical solutions of weakly singular Hammerstein integral equations
- Legendre spectral projection methods for Fredholm-Hammerstein integral equations
- Function classes for successful DE-Sinc approximations
- Collocating Convolutions
- Numerical solution of nonlinear two-dimensional Fredholm integral equations of the second kind using Sinc Nyström method
- Superconvergence of Some Projection Approximations for Weakly Singular Integral Equations Using General Grids
- Superconvergence Results for Weakly Singular Fredholm–Hammerstein Integral Equations
- The discrete Petrov-Galerkin method for weakly singular integral equations
This page was built for publication: Approximation of weakly singular integral equations by sinc projection methods