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An Algebraic Multigrid Method for Eigenvalue Problems and Its Numerical Tests 期刊论文
EAST ASIAN JOURNAL ON APPLIED MATHEMATICS, 2021, 卷号: 11, 期号: 1, 页码: 1-19
Authors:  Zhang, Ning;  Han, Xiaole;  He, Yunhui;  Xie, Hehu;  You, Chun'guang
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Algebraic multigrid  multilevel correction  eigenvalue problem  
Optimal quadratic element on rectangular grids for H-1 problems 期刊论文
BIT NUMERICAL MATHEMATICS, 2020, 页码: 25
Authors:  Zeng, Huilan;  Zhang, Chen-Song;  Zhang, Shuo
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Optimal quadratic element  Rectangular grids  Boundary value problem  Eigenvalue problem  Lower bound  
The Derivative Nonlinear Schrodinger Equation with Zero/Nonzero Boundary Conditions: Inverse Scattering Transforms andN-Double-Pole Solutions 期刊论文
JOURNAL OF NONLINEAR SCIENCE, 2020, 页码: 39
Authors:  Zhang, Guoqiang;  Yan, Zhenya
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Derivative nonlinear Schrodinger equation  Modified Zakharov-Shabat eigenvalue problem  Inverse scattering  Riemann-Hilbert problem  Zero  nonzero boundary conditions  Double-pole solitons and breathers  
A High Accuracy Nonconforming Finite Element Scheme for Helmholtz Transmission Eigenvalue Problem 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2020, 卷号: 83, 期号: 3, 页码: 20
Authors:  Xi, Yingxia;  Ji, Xia;  Zhang, Shuo
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Nonconforming finite element method  Transmission eigenvalues  High accurary  
A multi-level mixed element scheme of the two-dimensional Helmholtz transmission eigenvalue problem 期刊论文
IMA JOURNAL OF NUMERICAL ANALYSIS, 2020, 卷号: 40, 期号: 1, 页码: 686-707
Authors:  Xi, Yingxia;  Ji, Xia;  Zhang, Shuo
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mixed finite element method  transmission eigenvalue  multi-level scheme  
MULTIPLICITY OF POSITIVE SOLUTIONS TO NONLINEAR SYSTEMS OF HAMMERSTEIN INTEGRAL EQUATIONS WITH WEIGHTED FUNCTIONS 期刊论文
COMMUNICATIONS ON PURE AND APPLIED ANALYSIS, 2020, 卷号: 19, 期号: 1, 页码: 221-240
Authors:  Cheng, Xiyou;  Feng, Zhaosheng;  Zhang, Zhitao
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Positive solution  Hammerstein integral equations  weighted functions  fixed point index  Dirichlet boundary condition  
A cascadic multigrid method for nonsymmetric eigenvalue problem 期刊论文
APPLIED NUMERICAL MATHEMATICS, 2019, 卷号: 146, 页码: 55-72
Authors:  Yue, Meiling;  Xie, Hehu;  Xie, Manting
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Nonsymmetric eigenvalue problem  Cascadic multigrid  Multilevel correction method  Finite element method  
On a novel inverse scattering scheme using resonant modes with enhanced imaging resolution 期刊论文
Inverse Problems, 2019, 卷号: 35, 期号: 12
Authors:  Liu,Hongyu;  Liu,Xiaodong;  Wang,Xianchao;  Wang,Yuliang
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wave imaging  shape reconstruction  interior resonant modes  eigenvalue and eigenfunction reconstruction  
Isospectral Flows Related to Frobenius-Stickelberger-Thiele Polynomials 期刊论文
COMMUNICATIONS IN MATHEMATICAL PHYSICS, 2019, 页码: 33
Authors:  Chang, Xiang-Ke;  Hu, Xing-Biao;  Szmigielski, Jacek;  Zhedanov, Alexei
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Limit Configurations of Schrodinger Systems Versus Optimal Partition for the Principal Eigenvalue of Elliptic Systems 期刊论文
ADVANCED NONLINEAR STUDIES, 2019, 卷号: 19, 期号: 4, 页码: 693-715
Authors:  Luo, Haijun;  Zhang, Zhitao
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Schrodinger System  Almgren's Monotonicity Formula  Optimal Partition  Free Boundary Problem