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ILL-POSED: 作品数：61被引量：91H指数：5; 导出分析报告; 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：《Science China Earth Sciences》《大地测量与地球动力学》《Science China Mathematics》《Computer Modeling in Engineering & Sciences》更多>>; 相关基金：国家自然科学基金国家重点基础研究发展计划中国科学院知识创新工程教育部留学回国人员科研启动基金更多>>

Optimal Shape Factor and Fictitious Radius in the MQ-RBF:Solving Ill-Posed Laplacian Problems: 《Computer Modeling in Engineering & Sciences》2024年第6期3189-3208,共20页Chein-Shan Liu Chung-Lun Kuo Chih-Wen Chang; supported by the the National Science and Technology Council(Grant Number:NSTC 112-2221-E239-022).; To solve the Laplacian problems,we adopt a meshless method with the multiquadric radial basis function(MQRBF)as a basis whose center is distributed inside a circle with a fictitious radius.A maximal projection techniq...; 关键词：Laplace equation nonharmonic boundary value problem Ill-posed problem maximal projection optimal shape factor and fictitious radius optimal MQ-RBF optimal polynomial method

A New Regularization Method for a Parameter Identification Problem in a Non-linear Partial Differential Equation: 《Journal of Partial Differential Equations》2023年第2期147-190,共44页NAIR M.Thamban ROY Samprita Das; We consider a parameter identification problem associated with a quasilinear elliptic Neumann boundary value problem involving a parameter function a(-)and the solution u(-),where the problem is to identify a(-)on an ...; 关键词：ILL-POSED REGULARIZATION parameter identification

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.

Plenty of analytical and semi-analytical wave solutions of shallow water beneath gravity: 《Journal of Ocean Engineering and Science》2022年第3期237-243,共7页Mostafa M.A.Khater SamirA.Salama; We greatly thank Taif University for providing fund for this work through Taif University Researchers Supporting Project num-ber(TURSP-2020/52);Taif University,Taif,Saudi Arabia.; This article studies novel soliton wave solutions of the nonlinear fractional ill-posed Boussinesq(NLFIPB)dynamic wave equation by applying the extended Riccati-expansion(ERE)method.Jacques Hadamard has formulated the...; 关键词：Ill-posed Boussinesq dynamical wave Analytical and semi-analytical simulations

Ridge estimation iterative solution of ill-posed mixed additive and multiplicative random error model with equality constraints被引量：3: 《Geodesy and Geodynamics》2021年第5期336-346,共11页Leyang Wang Tao Chen; supported by the National Natural Science Foundation of China,Grant Nos.42174011,41874001 and 41664001;Innovation Found Designated for Graduate Students of ECUT,Grant No.DHYC-202020。; The reasonable prior information between the parameters in the adjustment processing can significantly improve the precision of the parameter solution. Based on the principle of equality constraints, we establish the ...; 关键词：Ill-posed problem Mixed additive and multiplicative random error model Equality constraints Weighted least squares Ridge estimation method U-curve method

On Regularization of a Source Identification Problem in a Parabolic PDE and its Finite Dimensional Analysis: 《Journal of Partial Differential Equations》2021年第3期240-257,共18页MONDAL Subhankar NAIR M.Thamban; We consider the inverse problem of identifying a general source term,which is a function of both time variable and the spatial variable,in a parabolic PDE from the knowledge of boundary measurements of the solution on...; 关键词：ILL-POSED source identification Tikhonov regularization weak solution

Determination of an Unknown Time-dependent Heat Source from A Nonlocal Measurement by Finite Difference Method被引量：6: 《Acta Mathematicae Applicatae Sinica》2020年第1期151-165,共15页Ze-wen WANG Zhou-sheng RUAN He-lu HUANG Shu-fang QIU; supported by National Natural Science Foundation of China(11561003,11661004,11761007);Natural Science Foundation of Jiangxi Province(20161BAB201034);Foundation of Academic and Technical Leaders Program for Major Subjects in Jiangxi Province(20172BCB22019)。; In this paper,we consider an inverse time-dependent source problem of heat conduction equation.Firstly,the ill-posedness and conditional stability of this inverse source problem is analyzed.Then,a finite difference in...; 关键词：INVERSE source PROBLEM ILL-POSED PROBLEM finite DIFFERENCE heat equation mollification

Weighted total variation using split Bregman fast quantitative susceptibility mapping reconstruction method被引量：1: 《Chinese Physics B》2018年第8期645-654,共10页Lin Chen Zhi-Wei Zheng Li-Jun Bao Jin-Sheng Fang Tian-He Yang Shu-Hui Cai Cong-Bo Cai; Project supported by the National Natural Science Foundation of China(Grant Nos.11474236,81671674,and 11775184);the Science and Technology Project of Fujian Province,China(Grant No.2016Y0078); An ill-posed inverse problem in quantitative susceptibility mapping （QSM） is usually solved using a regularization and optimization solver, which is time consuming considering the three-dimensional volume data. Howe...; 关键词：quantitative susceptibility mapping ill-posed inverse problem noise-suppressed data weighting split Bregman iteration

The Significance of Solutions Obtained from Ill-Posed Systems of Linear Equations Constituted by Synchrotron Radiation Based Anomalous Small-Angle X-Ray Scattering: 《Advances in Linear Algebra & Matrix Theory》2018年第1期64-86,共23页Günter Johannes Goerigk; Synchrotron radiation based experimental techniques known as Anomalous Small-Angle X-ray Scattering (ASAXS) provide deep insight into the nanostructure of uncountable material systems in condensed matter research i.e....; 关键词：Matrix Inversion Condition NUMBERS LU-Decomposition Gaussian Elimination SYNCHROTRON Radiation ANOMALOUS SMALL-ANGLE X-Ray Scattering

LAVRENTIEV'S REGULARIZATION METHOD FOR NONLINEAR ILL-POSED EQUATIONS IN BANACH SPACES: 《Acta Mathematica Scientia》2018年第1期303-314,共12页Santhosh GEORGE C.D.SREEDEEP; National Institute of Technology Karnataka, India, for the financial support; 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. ...; 关键词：nonlinear ill-posed problem Banach space Lavrentiev regularization m-accretive mappings adaptive parameter choice strategy

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