期刊文献+
共找到3篇文章
< 1 >
每页显示 20 50 100
LAVRENTIEV'S REGULARIZATION METHOD FOR NONLINEAR ILL-POSED EQUATIONS IN BANACH SPACES
1
作者 Santhosh GEORGE C.D.SREEDEEP 《Acta Mathematica Scientia》 SCIE CSCD 2018年第1期303-314,共12页
In this paper, we deal with nonlinear ill-posed problems involving m-accretive mappings in Banach spaces. We consider a derivative and inverse free method for the imple- mentation of Lavrentiev regularization method. ... In this paper, we deal with nonlinear ill-posed problems involving m-accretive mappings in Banach spaces. We consider a derivative and inverse free method for the imple- mentation of Lavrentiev regularization method. Using general HSlder type source condition we obtain an optimal order error estimate. Also we consider the adaptive parameter choice strategy proposed by Pereverzev and Schock (2005) for choosing the regularization parameter. 展开更多
关键词 nonlinear ill-posed problem Banach space Lavrentiev regularization m-accretive mappings adaptive parameter choice strategy
下载PDF
Simplified Iterative Tikhonov Regularization and Posteriori Parameter Choice Rules
2
作者 来慧洁 贺国强 《Journal of Shanghai University(English Edition)》 CAS 2005年第4期314-319,共6页
In this paper, a simplified iterative regnlarization method was used to solve the operator equations of the first kind involving semi-positive definite operators, the convergence rates of regularized solutions were ob... In this paper, a simplified iterative regnlarization method was used to solve the operator equations of the first kind involving semi-positive definite operators, the convergence rates of regularized solutions were obtained and a posteriori parametr choice strategy was given. 展开更多
关键词 ill-posed problem semi-positive definite operator convergence rates of regularizde solutions parameter choice strategy.
下载PDF
A MULTISCALE PROJECTION METHOD FOR SOLVING NONLINEAR INTEGRAL EQUATIONS UNDER THE LIPSCHITZ CONDITION
3
作者 Linxiu Fan Xingjun Luo +2 位作者 Rong Zhang Chunmei Zeng Suhua Yang 《Journal of Computational Mathematics》 SCIE CSCD 2023年第6期1222-1245,共24页
We propose a multiscale projection method for the numerical solution of the irtatively regularized Gauss-Newton method of nonlinear integral equations.An a posteriori rule is suggested to choose the stopping index of ... We propose a multiscale projection method for the numerical solution of the irtatively regularized Gauss-Newton method of nonlinear integral equations.An a posteriori rule is suggested to choose the stopping index of iteration and the rates of convergence are also derived under the Lipschitz condition.Numerical results are presented to demonstrate the efficiency and accuracy of the proposed method. 展开更多
关键词 Nonlinear integral equations Multiscale Galerkin method parameter choice strategy Gauss-Newton method
原文传递
上一页 1 下一页 到第
使用帮助 返回顶部