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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  
Plane wave methods for quantum eigenvalue problems of incommensurate systems 期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2019, 卷号: 384, 页码: 99-113
Authors:  Zhou, Yuzhi;  Chen, Huajie;  Zhou, Aihui
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Incommensurate system  Quantum eigenvalue problem  Plane wave  Density functional theory  
Acceleration of Weak Galerkin Methods for the Laplacian Eigenvalue Problem 期刊论文
JOURNAL OF SCIENTIFIC COMPUTING, 2019, 卷号: 79, 期号: 2, 页码: 914-934
Authors:  Zhai, Qilong;  Xie, Hehu;  Zhang, Ran;  Zhang, Zhimin
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Weak Galerkin finite element method  Eigenvalue problem  Two-grid method  Two-space method  Lower bound  
On multistep Rayleigh quotient iterations for Hermitian eigenvalue problems 期刊论文
COMPUTERS & MATHEMATICS WITH APPLICATIONS, 2019, 卷号: 77, 期号: 9, 页码: 2396-2406
Authors:  Bai, Zhong-Zhi;  Miao, Cun-Qiang;  Jian, Shuai
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Hermitian eigenvalue problem  Rayleigh quotient iteration  Multistep modification  Inexact solve  Preconditioning  
AN EFFICIENT MULTIGRID METHOD FOR GROUND STATE SOLUTION OF BOSE-EINSTEIN CONDENSATES 期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2019, 卷号: 16, 期号: 5, 页码: 789-803
Authors:  Zhang, Ning;  Xu, Fei;  Xie, Hehu
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BEC  GPE  nonlinear eigenvalue problem  multigrid  tensor  finite element method  asymptotically optimal efficiency  
GUARANTEED EIGENVALUE BOUNDS FOR THE STEKLOV EIGENVALUE PROBLEM 期刊论文
SIAM JOURNAL ON NUMERICAL ANALYSIS, 2019, 卷号: 57, 期号: 3, 页码: 1395-1410
Authors:  You, Chun'guang;  Xie, Hehu;  Liu, Xuefeng
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Steklov eigenvalue problem  eigenvalue bounds  Crouzeix-Raviart finite element method  verified computing