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中国科学院数学与系统科学研究院机构知识库
KMS Of Academy of mathematics and systems sciences, CAS
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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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View/Download:88/0
  |  
Submit date:2021/01/14
Algebraic multigrid
multilevel correction
eigenvalue problem
A multigrid method for the ground state solution of Bose-Einstein condensates based on Newton iteration
期刊论文
BIT NUMERICAL MATHEMATICS, 2021, 页码: 19
Authors:
Xu, Fei
;
Xie, Hehu
;
Xie, Manting
;
Yue, Meiling
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View/Download:34/0
  |  
Submit date:2021/04/26
BEC
GPE
Nonlinear eigenvalue problem
Multigrid method
Finite element method
A PARALLEL AUGMENTED SUBSPACE METHOD FOR EIGENVALUE PROBLEMS
期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2020, 卷号: 42, 期号: 5, 页码: A2655-A2677
Authors:
Xu, Fei
;
Xie, Hehu
;
Zhang, Ning
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View/Download:32/0
  |  
Submit date:2021/04/26
eigenvalue problems
parallel augmented subspace method
multigrid method
parallel computing
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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View/Download:64/0
  |  
Submit date:2020/01/10
BEC
GPE
nonlinear eigenvalue problem
multigrid
tensor
finite element method
asymptotically optimal efficiency
STRUCTURED QUASI-NEWTON METHODS FOR OPTIMIZATION WITH ORTHOGONALITY CONSTRAINTS
期刊论文
SIAM JOURNAL ON SCIENTIFIC COMPUTING, 2019, 卷号: 41, 期号: 4, 页码: A2239-A2269
Authors:
Hu, Jiang
;
Jiang, Bo
;
Lin, Lin
;
Wen, Zaiwen
;
Yuan, Ya-Xiang
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View/Download:55/0
  |  
Submit date:2020/01/10
optimization with orthogonality constraints
structured quasi-Newton method
limited-memory Nystrom approximation
Hartree-Fock total energy minimization
Explicit lower bounds for Stokes eigenvalue problems by using nonconforming finite elements
期刊论文
JAPAN JOURNAL OF INDUSTRIAL AND APPLIED MATHEMATICS, 2018, 卷号: 35, 期号: 1, 页码: 335-354
Authors:
Xie, Manting
;
Xie, Hehu
;
Liu, Xuefeng
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View/Download:61/0
  |  
Submit date:2018/07/30
Stokes eigenvalue problem
Eigenvalue bound
Crouzeix-Raviart element
Enriched Crouzeix-Raviart element
Explicit lower bound
A multilevel correction adaptive finite element method for Kohn-Sham equation
期刊论文
JOURNAL OF COMPUTATIONAL PHYSICS, 2018, 卷号: 355, 页码: 436-449
Authors:
Hu, Guanghui
;
Xie, Hehu
;
Xu, Fei
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View/Download:64/0
  |  
Submit date:2018/07/30
Density functional theory
Kohn-Sham equation
Multilevel correction
Adaptive finite element method
ADAPTIVE QUADRATICALLY REGULARIZED NEWTON METHOD FOR RIEMANNIAN OPTIMIZATION
期刊论文
SIAM JOURNAL ON MATRIX ANALYSIS AND APPLICATIONS, 2018, 卷号: 39, 期号: 3, 页码: 1181-1207
Authors:
Hu, Jiang
;
Milzarek, Andre
;
Wen, Zaiwen
;
Yuan, Yaxiang
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View/Download:56/0
  |  
Submit date:2019/03/05
Riemannian optimization
regularization
trust-region methods
inexactness
FULLY COMPUTABLE ERROR BOUNDS FOR EIGENVALUE PROBLEM
期刊论文
INTERNATIONAL JOURNAL OF NUMERICAL ANALYSIS AND MODELING, 2018, 卷号: 15, 期号: 1-2, 页码: 260-276
Authors:
Hong, Qichen
;
Xie, Hehu
;
Yue, Meiling
;
Zhang, Ning
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View/Download:70/0
  |  
Submit date:2018/07/30
Eigenvalue problem
computable error estimate
guaranteed upper bound
guaranteed lower bound
complementary method