Multi-projection methods for Fredholm integral equations of the first kind
DOI10.1080/00207160.2022.2149265zbMath1524.65975OpenAlexW4309703158MaRDI QIDQ6106708
Bijaya Laxmi Panigrahi, Gnaneshwar Nelakanti, Subhashree Patel
Publication date: 3 July 2023
Published in: International Journal of Computer Mathematics (Search for Journal in Brave)
Full work available at URL: https://doi.org/10.1080/00207160.2022.2149265
ill-posed problemsTikhonov regularization methodpiecewise polynomialsFredholm integral equation of the first kindmulti-projection methods
Numerical methods for integral equations (65R20) Numerical solutions to equations with linear operators (65J10) Numerical methods for ill-posed problems for integral equations (65R30) Fredholm integral equations (45B05) Numerical solutions of ill-posed problems in abstract spaces; regularization (65J20)
Related Items (1)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Projected Tikhonov regularization method for Fredholm integral equations of the first kind
- Numerical solution of Fredholm integral equations of the first kind by using Legendre wavelets
- Convergence analysis of a regularized degenerate kernel method for Fredholm integral equations of the first kind
- A parameter choice strategy for a multi-level augmentation method solving ill-posed operator equations
- On the regularization of projection methods for solving ill-posed problems
- Regularization of ill-posed problems: Optimal parameter choice in finite dimensions
- Convergence analysis of a regularized approximation for solving Fredholm integral equations of the first kind
- Legendre spectral projection methods for Fredholm integral equations of first kind
- Legendre spectral multi-projection methods for Fredholm integral equations of the first kind
- A parameter choice strategy for the regularized approximation of Fredholm integral equations of the first kind
- Fast collocation methods for solving ill-posed integral equations of the first kind
- An A Posteriori Parameter Choice for Ordinary and Iterated Tikhonov Regularization of Ill-Posed Problems Leading to Optimal Convergence Rates
- Spectral Methods
- A fast multiscale Galerkin method for ill-posed integral equations with not exactly given input data via Tikhonov regularization
- A fast multiscale Galerkin method for the first kind ill‐posed integral equations via Tikhonov regularization
- An introduction to the mathematical theory of inverse problems
This page was built for publication: Multi-projection methods for Fredholm integral equations of the first kind