ILL-POSED

作品数：61被引量：91H指数：5
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相关领域：理学更多>>
相关作者：刘丹更多>>
相关机构：中国海洋大学更多>>
相关期刊：《Journal of Applied Mathematics and Physics》《模糊系统与数学》《Numerical Mathematics(Theory,Methods and Applications)》《Analysis in Theory and Applications》更多>>
相关基金：国家自然科学基金中国科学院知识创新工程国家重点基础研究发展计划教育部留学回国人员科研启动基金更多>>
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A DISCRETIZING LEVENBERG-MARQUARDT SCHEME FOR SOLVING NONLIEAR ILL-POSED INTEGRAL EQUATIONS
《Journal of Computational Mathematics》2022年第5期686-710,共25页Rong Zhang Hongqi Yang 
Guangdong Province Key Laboratory of Computational Science at the Sun Yat-sen University(2020B1212060032);Key Laboratory of Jiangxi Province for Numerical Simulation and Emulation Techniques(400440);the Foundation of Education Committee of Jiangxi,China(GJJ201436);National Natural Science Foundation of China under grants 11571386 and 11761010.
To reduce the computational cost,we propose a regularizing modified LevenbergMarquardt scheme via multiscale Galerkin method for solving nonlinear ill-posed problems.Convergence results for the regularizing modified L...
关键词：The regularizing Levenberg-Marquardt scheme Multiscale Galerkin methods Nonlinear ill-posed problems Heuristic parameter choice rule Optimal convergence rate. 
MULTI-PARAMETER TIKHONOV REGULARIZATION FOR LINEAR ILL-POSED OPERATOR EQUATIONS被引量：4
《Journal of Computational Mathematics》2008年第1期37-55,共19页Zhongying Chen Yao Lu Yuesheng Xu Hongqi Yang 
supported in part by the Natural Science Foundation of China under grants 10371137;the Foundation of Doctoral Program of National Higher Education of China under grant 20030558008;Guangdong Provincial Natural Science Foundation of China under grant 05003308;the Foundation of Zhongshan University Advanced Research Center;supported in part by the US National Science Foundation under grant CCR-0407476;National Aeronautics and Space Administration under Cooperative Agreement NNX07AC37A;the Natural Science Foundation of China under grants 10371122 and 10631080;the Education Ministry of the People's Republic of China under the Changjiang Scholar Chair Professorship Program through Zhongshan University
We consider solving linear ill-posed operator equations. Based on a multi-scale decomposition for the solution space, we propose a multi-parameter regularization for solving the equations. We establish weak and strong...
关键词：Ill-posed problems Tikhonov regularization Multi-parameter regularization 
A KIND OF IMPLICIT ITERATIVE METHODS FOR ILL-POSEDOPERATOR EQUATIONS被引量：8
《Journal of Computational Mathematics》1999年第3期275-284,共10页Guo-qiang He Lin-clan Liu(Department of Mathematics, Shanghai University, Jiading Campus, Shanghai 201800, China) 
In this paper we propose a kind of implicit iterative methods for solving ill-posed operator equations and discuss the properties of the methods in the case that the control parameter is fixed. The theoretical results...
关键词：ill-posed equation implicit iterative method control parameter discrepamcy principle optimal convergence rate 
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