ScholarLens Back to search
2003•Unpublished venueRequires access

An Optimal Regularization Strategy for Solving the First Kind of Fredholm Integral Equations Numerical Analysis

Li Gong

Open publisher page 0 citations

Abstract

With aids of Matlab software, the modified Tikhonov regularization algorithm established by LI Gong sheng et al is applied to solve the first kind of Fredholm integral equations. The numerical results show that this new regularization scheme is more accurate than ordinary Tikhonov regularization and the regularized solution can achieve higher convergence rate, which roughly coincides with the theoretical analysis.

About this research paper

What this paper is about

With aids of Matlab software, the modified Tikhonov regularization algorithm established by LI Gong sheng et al is applied to solve the first kind of Fredholm integral equations. The numerical results show that this new regularization scheme is more accurate than ordinary Tikhonov regularization and the regularized solution can achieve higher convergence rate, which roughly coincides with the theoretical analysis.

Why it matters

A significance statement is not available in the OpenAlex record.

Key contribution

A contribution statement is not available in the OpenAlex record.

Method / approach

Method details are not available in the OpenAlex metadata.

Main findings

Findings are not separately available in the OpenAlex metadata.

Limitations

Limitations are not available in the OpenAlex metadata.

Applications

Application details are not available in the OpenAlex metadata.

Available abstract

With aids of Matlab software, the modified Tikhonov regularization algorithm established by LI Gong sheng et al is applied to solve the first kind of Fredholm integral equations. The numerical results show that this new regularization scheme is more accurate than ordinary Tikhonov regularization and the regularized solution can achieve higher convergence rate, which roughly coincides with the theoretical analysis.

Key concepts: Tikhonov regularization, Regularization (linguistics), Fredholm integral equation, Backus–Gilbert method, Mathematics, Regularization perspectives on support vector machines, Integral equation, Applied mathematics

Related papers

Related paper 1Related paper 2Related paper 3
Back to paper searchBrowse research topicsOriginal source
An Optimal Regularization Strategy for Solving the First Kind of Fredholm Integral Equations Numerical Analysis — Research Paper | ScholarLens