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ERROR ANALYSIS OF VIRTUAL ELEMENT METHODS FOR THE TIME-DEPENDENT POISSON-NERNST-PLANCK EQUATIONS
《Journal of Computational Mathematics》2025年第3期731-770,共40页Ying Yang Ya Liu Yang Liu Shi Shu 
supported by the China NSF(NSFC 12161026);by the Special Fund for Scientific and Technological Bases and Talents of Guangxi(Grant No.Guike AD23026048);by the Guangxi Natural Science Foundation,China(Grant No.2020GXNSFAA159098);supported by the China NSF(NSFC 12371373);supported by the GUET Excellent Graduate Thesis Program(Grant No.2020YJSPYA02).
We discuss and analyze the virtual element method on general polygonal meshes for the time-dependent Poisson-Nernst-Planck(PNP)equations,which are a nonlinear coupled system widely used in semiconductors and ion chann...
关键词:Virtual element method Error estimate Poisson-Nernst-Planck equations Polygonal meshes Energy projection Gummel iteration 
A DECOUPLING TWO-GRID METHOD FOR THE STEADY-STATE POISSON-NERNST-PLANCK EQUATIONS被引量:1
《Journal of Computational Mathematics》2019年第4期556-578,共23页Ying Yang Benzhuo Lu Yan Xie 
Poisson-Nernst-Planck equations are widely used to describe the electrodiffusion of ions in a solvated biomolecular system. Two kinds of two-grid finite element algorithms are proposed to decouple the steady-state Poi...
关键词:Poisson-Nernst-Planck equations Two-grid finite element METHOD DECOUPLING METHOD Error analysis Gummel ITERATION 
ON PMHSS ITERATION METHODS FOR CONTINUOUS SYLVESTER EQUATIONS被引量:3
《Journal of Computational Mathematics》2017年第5期600-619,共20页Yongxin Dong Chuanqing Gu 
The modified Hermitian and skew-Hermitian splitting (MHSS) iteration method and preconditioned MHSS (PMHSS) iteration method were introduced respectively. In the paper, on the basis of the MHSS iteration method, w...
关键词:Continuous Sylvester equation PMHSS iteration Inexact PMHSS iteration Preconditioning Convergence. 
FAST ALGORITHMS FOR HIGHER-ORDER SINGULAR VALUE DECOMPOSITION FROM INCOMPLETE DATA被引量:1
《Journal of Computational Mathematics》2017年第4期397-422,共26页Yangyang Xu 
Higher-order singular value decomposition (HOSVD) is an efficient way for data reduction and also eliciting intrinsic structure of multi-dimensional array data. It has been used in many applications, and some of the...
关键词:multilinear data analysis higher-order singular value decomposition (HOSVD) low-rank tensor completion non-convex optimization higher-order orthogonality iteration(HOOI) global convergence. 
ALTERNATELY LINEARIZED IMPLICIT ITERATION METHODS FOR SOLVING QUADRATIC MATRIX EQUATIONS
《Journal of Computational Mathematics》2014年第3期306-311,共6页Bing Gui Hao Liu Minli Yan 
This work was supported by the National Natural Science Foundation (No.11171337), P. R. China.
A numerical solution of the quadratic matrix equations associated with a nonsingular M-matrix by using the alternately linearized implicit iteration method is considered. An iteration method for computing a nonsingula...
关键词:Quadratic matrix equation Alternately iteration M-MATRIX Matrix transformation. 
ON STRUCTURED VARIANTS OF MODIFIED HSS ITERATION METHODS FOR COMPLEX TOEPLITZ LINEAR SYSTEMS被引量:2
《Journal of Computational Mathematics》2013年第1期57-67,共11页Fang Chen Yaolin Jiang Qingquan Liu 
Acknowledgments. The work was supported by State Key Laboratory of Scientific/Engineer- ing Computing, Chinese Academy of Sciences; The International Science and Technology Co- operation Program of China under Grant 2010DFA14700; The Natural Science Foundation of China (NSFC) under Grant 11071192, P.R. China.
The Modified Hermitian and skew-Hermitian splitting (MHSS) iteration method was presented and studied by Bai, Benzi and Chen (Computing, 87(2010), 93-111) for solving a class of complex symmetric linear systems....
关键词:Toeplitz matrix MHSS iteration method Complex symmetric linear system. 
GENERALIZED PRECONDITIONED HERMITIAN AND SKEW-HERMITIAN SPLITTING METHODS FOR NON-HERMITIAN POSITIVE-DEFINITE LINEAR SYSTEMS被引量:1
《Journal of Computational Mathematics》2012年第4期404-417,共14页Junfeng Yin Quanyu Dou 
In this paper, a generalized preconditioned Hermitian and skew-Hermitian splitting (GPHSS) iteration method for a non-Hermitian positive-definite matrix is studied, which covers standard Hermitian and skew-Hermitian...
关键词:Hermitian and skew-Hermitian splitting Iteration method Inner iteration. 
ON HERMITIAN AND SKEW-HERMITIAN SPLITTING ITERATION METHODS FOR CONTINUOUS SYLVESTER EQUATIONS被引量:24
《Journal of Computational Mathematics》2011年第2期185-198,共14页Zhong-Zhi Bai 
We present a Hermitian and skew-Herrnitian splitting (HSS) iteration method for solving large sparse continuous Sylvester equations with non-Hermitian and positive definite/semi- definite matrices. The unconditional...
关键词:Continuous Sylvester equation HSS iteration method Inexact iteration Convergence. 
A NOTE ON RICHARDSON EXTRAPOLATION OF GALERKIN METHODS FOR EIGENVALUE PROBLEMS OF FREDHOLM INTEGRAL EQUATIONS被引量:2
《Journal of Computational Mathematics》2008年第4期598-612,共15页Qiumei Huang Yidu Yang 
the Governor's Special Foundation of Guizhou Province for Outstanding Scientific Education Personnel (No.[2005]155),China
In this paper, we introduce a new extrapolation formula by combining Richardson extrapolation and Sloan iteration algorithms. Using this extrapolation formula, we obtain some asymptotic expansions of the Galerkin fini...
关键词:Fredholm integral equations Semi-simple eigenvalues Asymptotic expansion Galerkin method Richardson extrapolation Sloan iteration. 
MODIFIED BERNOULLI ITERATION METHODS FOR QUADRATIC MATRIX EQUATION被引量:3
《Journal of Computational Mathematics》2007年第5期498-511,共14页Zhong-Zhi Bai Yong-Hua Gao 
Supported by The Special Funds For Major State Basic Research Projects (No. G1999032803); The China NNSF 0utstanding Young Scientist Foundation (No. 10525102); The National Natural Science Foundation (No. 10471146); The National Basic Research Program (No. 2005CB321702), P.R. China.
We construct a modified Bernoulli iteration method for solving the quadratic matrix equation AX^2 + BX + C = 0, where A, B and C are square matrices. This method is motivated from the Gauss-Seidel iteration for solv...
关键词:Quadratic matrix equation Quadratic eigenvalue problem SOLVENT Bernoulli's iteration Newton's method Local convergence. 
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