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Author ID: zhou.aihui Recent zbMATH articles by "Zhou, Aihui"
Published as: Zhou, Aihui; Zhou, A.; Zhou, Ai-hui; Zhou, Ai Hui
Homepage: http://lsec.cc.ac.cn/~azhou/
External Links: Google Scholar · ResearchGate
all top 5

Serials

8 Journal of Computational Mathematics
7 Advances in Computational Mathematics
6 Systems Science and Mathematical Sciences
5 Computer Methods in Applied Mechanics and Engineering
5 Numerische Mathematik
5 SIAM Journal on Scientific Computing
5 Multiscale Modeling & Simulation
4 Applied Mathematics and Computation
4 SIAM Journal on Numerical Analysis
4 Journal of Scientific Computing
4 Acta Mathematica Scientia
3 IMA Journal of Numerical Analysis
3 Journal of Computational Physics
3 Journal of Statistical Physics
3 Mathematical Methods in the Applied Sciences
3 BIT
3 Journal of Computational and Applied Mathematics
3 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
3 Natural Science Journal of Xiangtan University
3 Communications in Computational Physics
3 Science China. Mathematics
2 Nonlinearity
2 Mathematics of Computation
2 Applied Mathematics Letters
2 Journal of Integral Equations and Applications
2 International Journal of Numerical Analysis and Modeling
2 Numerical Mathematics: Theory, Methods and Applications
2 Scientia Sinica. Mathematica
2 Nonlinear Analysis. Theory, Methods & Applications
1 Journal of Mathematical Analysis and Applications
1 Physics Letters. A
1 Advances in Mathematics (Beijing)
1 Journal of Engineering Mathematics (Xi’an)
1 Physica D
1 Applied Numerical Mathematics
1 Journal of Systems Science and Mathematical Sciences
1 RAIRO. Modélisation Mathématique et Analyse Numérique
1 Acta Mathematicae Applicatae Sinica. English Series
1 Hunan Annals of Mathematics
1 Numerical Methods for Partial Differential Equations
1 Science in China. Series A
1 Applications of Mathematics
1 Journal of Partial Differential Equations
1 Electronic Journal of Differential Equations (EJDE)
1 Monte Carlo Methods and Applications
1 Discrete and Continuous Dynamical Systems
1 Journal of Mathematical Chemistry
1 Dynamics of Continuous, Discrete and Impulsive Systems
1 M2AN. Mathematical Modelling and Numerical Analysis. ESAIM, European Series in Applied and Industrial Mathematics
1 Journal of Systems Science and Complexity
1 Communications on Pure and Applied Analysis
1 HERMIS-\(\mu\pi\). Hellenic European Research on Mathematics and Informatics Science
1 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
1 Mathematical Modelling of Natural Phenomena
1 Advances in Applied Mathematics and Mechanics
1 Monographs and Research Notes in Mathematics

Publications by Year

Citations contained in zbMATH Open

109 Publications have been cited 1,867 times in 1,080 Documents Cited by Year
A two-grid discretization scheme for eigenvalue problems. Zbl 0959.65119
Xu, Jinchao; Zhou, Aihui
162
2001
Local and parallel finite element algorithms based on two-grid discretizations. Zbl 0948.65122
Xu, Jinchao; Zhou, Aihui
143
2000
Superconvergence and extrapolation of non-conforming low order finite elements applied to the Poisson equation. Zbl 1068.65122
Lin, Qun; Tobiska, Lutz; Zhou, Aihui
143
2005
Local and parallel finite element algorithms for the Stokes problem. Zbl 1145.65097
He, Yinnian; Xu, Jinchao; Zhou, Aihui; Li, Jian
88
2008
Convergence and optimal complexity of adaptive finite element eigenvalue computations. Zbl 1159.65090
Dai, Xiaoying; Xu, Jinchao; Zhou, Aihui
86
2008
Local and parallel finite element algorithms based on two-grid discretizations for nonlinear problems. Zbl 0990.65128
Xu, Jinchao; Zhou, Aihui
84
2001
Local and parallel finite element algorithms for the Navier-Stokes problem. Zbl 1093.76035
He, Yinnian; Xu, Jinchao; Zhou, Aihui
83
2006
A note on the optimal \(L^2\)-estimate of the finite volume element method. Zbl 0997.65122
Chen, Zhongying; Li, Ronghua; Zhou, Aihui
55
2002
Eigenvalues of rank-one updated matrices with some applications. Zbl 1139.15003
Ding, Jiu; Zhou, Aihui
53
2007
Local and parallel finite element algorithms for eigenvalue problems. Zbl 1015.65060
Xu, Jinchao; Zhou, Aihui
49
2002
Three-scale finite element discretizations for quantum eigenvalue problems. Zbl 1160.65060
Dai, Xiaoying; Zhou, Aihui
37
2008
A two-scale sparse grid method for a singularly perturbed reaction-diffusion problem in two dimensions. Zbl 1188.65153
Liu, Fang; Madden, Niall; Stynes, Martin; Zhou, Aihui
36
2009
Gradient recovery type a posteriori error estimates for finite element approximations on irregular meshes. Zbl 0986.65098
Yan, Ningning; Zhou, Aihui
32
2001
Adaptive finite element approximations for Kohn-Sham models. Zbl 1316.35260
Chen, Huajie; Dai, Xiaoying; Gong, Xingao; He, Lianhua; Zhou, Aihui
32
2014
Finite element methods for eigenvalue problems. Zbl 1351.65085
Sun, Jiguang; Zhou, Aihui
32
2017
Finite approximations of Frobenius-Perron operators. A solution of Ulam’s conjecture to multi-dimensional transformations. Zbl 0890.58035
Ding, Jiu; Zhou, Aihui
29
1996
Symmetric finite volume discretizations for parabolic problems. Zbl 1038.65079
Ma, Xiuling; Shu, Shi; Zhou, Aihui
28
2003
Adaptive finite element algorithms for eigenvalue problems based on local averaging type a posteriori error estimates. Zbl 1103.65112
Mao, Dong; Shen, Lihua; Zhou, Aihui
28
2006
Finite element approximations of nonlinear eigenvalue problems in quantum physics. Zbl 1228.81026
Chen, Huajie; He, Lianhua; Zhou, Aihui
26
2011
Finite element method for solving Kohn-Sham equations based on self-adaptive tetrahedral mesh. Zbl 1221.81225
Zhang, Dier; Shen, Lihua; Zhou, Aihui; Gong, Xin-Gao
25
2008
Enhancing eigenvalue approximation by gradient recovery. Zbl 1148.65087
Naga, Ahmed; Zhang, Zhimin; Zhou, Aihui
24
2006
Numerical analysis of finite dimensional approximations of Kohn-Sham models. Zbl 1278.35225
Chen, Huajie; Gong, Xingao; He, Lianhua; Yang, Zhang; Zhou, Aihui
24
2013
An analysis of finite-dimensional approximations for the ground state solution of Bose-Einstein condensates. Zbl 1051.35094
Zhou, Aihui
23
2004
The full approximation accuracy for the stream function-vorticity- pressure method. Zbl 0823.65110
Zhou, Aihui; Li, Jichun
22
1994
A box scheme for coupled systems resulting from microsensor thermistor problems. Zbl 0979.78023
Allegretto, Walter; Lin, Yanping; Zhou, Aihui
21
1999
Gradient type optimization methods for electronic structure calculations. Zbl 1300.82006
Zhang, Xin; Zhu, Jinwei; Wen, Zaiwen; Zhou, Aihui
21
2014
Error analysis of the combination technique. Zbl 0942.65122
Pflaum, C.; Zhou, A.
19
1999
Piecewise linear Markov approximations of Frobenius-Perron operators associated with multi-dimensional transformations. Zbl 0907.47025
Ding, Jiu; Zhou, Ai Hui
19
1995
Finite element approximations for Schrödinger equations with applications to electronic structure computations. Zbl 1174.65047
Gong, Xingao; Shen, Lihua; Zhang, Dier; Zhou, Aihui
19
2008
Numerical approximations of a nonlinear eigenvalue problem and applications to a density functional model. Zbl 1194.35293
Chen, Huajie; Gong, Xingao; Zhou, Aihui
19
2010
A defect correction scheme for finite element eigenvalues with applications to quantum Chemistry. Zbl 1104.65323
Shen, Lihua; Zhou, Aihui
17
2006
The projection method for computing multidimensional absolutely continuous invariant measures. Zbl 0972.28501
Ding, Jiu; Zhou, Aihui
16
1994
Statistical properties of deterministic systems. Zbl 1171.37001
Ding, Jiu; Zhou, Aihui
16
2009
Convergence and quasi-optimal complexity of adaptive finite element computations for multiple eigenvalues. Zbl 1332.65159
Dai, Xiaoying; He, Lianhua; Zhou, Aihui
16
2015
Multi-parameter extrapolation methods for boundary integral equations. Zbl 0922.65075
Rüde, Ulrich; Zhou, Aihui
14
1998
Convergence and complexity of adaptive finite element methods for elliptic partial differential equations. Zbl 1263.65103
He, Lianhua; Zhou, Aihui
14
2011
A Kohn-Sham equation solver based on hexahedral finite elements. Zbl 1245.82007
Fang, Jun; Gao, Xingyu; Zhou, Aihui
13
2012
Nonnegative matrices, positive operators, and applications. Zbl 1205.15048
Ding, Jiu; Zhou, Aihui
13
2009
Finite dimensional approximations for the electronic ground state solution of a molecular system. Zbl 1119.35095
Zhou, Aihui
12
2007
Orbital-free density functional theory for molecular structure calculations. Zbl 1174.81316
Chen, Huajie; Zhou, Aihui
12
2008
A maximum entropy method based on piecewise linear functions for the recovery of a stationary density of interval mappings. Zbl 1231.37042
Ding, Jiu; Jin, Congming; Rhee, Noah H.; Zhou, Aihui
11
2011
Finite volume discretizations for eigenvalue problems with applications to electronic structure calculations. Zbl 1233.65082
Dai, Xiaoying; Gong, Xingao; Yang, Zhang; Zhang, Dier; Zhou, Aihui
11
2011
A symmetric finite volume scheme for selfadjoint elliptic problems. Zbl 1027.65150
Liang, Shengde; Ma, Xiuling; Zhou, Aihui
11
2002
Finite approximations of Markov operators. Zbl 1013.65140
Ding, Jiu; Li, Tien Yien; Zhou, Aihui
9
2002
Fast Boolean approximation methods for solving integral equations in high dimensions. Zbl 1085.65126
Xu, Yuesheng; Zhou, Aihui
8
2004
Three-scale finite element eigenvalue discretizations. Zbl 1157.65061
Gao, X.; Liu, F.; Zhou, A.
8
2008
A multi-parameter splitting extrapolation and a parallel algorithm. Zbl 0895.65058
Zhou, Aihui; Liem, Chin-bo; Shih, Tsi-min; Lü, Tao
8
1997
A conjugate gradient method for electronic structure calculations. Zbl 1378.65120
Dai, Xiaoying; Liu, Zhuang; Zhang, Liwei; Zhou, Aihui
8
2017
Two-scale Boolean Galerkin discretizations for Fredholm integral equations of the second kind. Zbl 1144.65087
Liu, Fang; Zhou, Aihui
7
2007
Multi-level adaptive corrections in finite dimensional approximations. Zbl 1224.65294
Zhou, Aihui
7
2010
A two-scale higher-order finite element discretization for Schrödinger equation. Zbl 1212.65432
Chen, Huajie; Liu, Fang; Zhou, Aihui
7
2009
An analysis of discontinuous Galerkin methods for elliptic problems. Zbl 1099.65116
Schneider, Reinhold; Xu, Yuesheng; Zhou, Aihui
7
2006
Adaptive finite element approximations for a class of nonlinear eigenvalue problems in quantum physics. Zbl 1262.35187
Chen, Huajie; Gong, Xingao; He, Lianhua; Zhou, Aihui
7
2011
Characteristic polynomials of some perturbed matrices. Zbl 1154.15011
Ding, Jiu; Zhou, Aihui
6
2008
Error analysis on bi-parameter finite elements. Zbl 0945.65122
Zhou, Aihui; Liem, Chinbo; Shih, Tsimin; Lü, Lao
6
1998
Local averaging based a posteriori finite element error control for quasilinear elliptic problems with application to electrical potential computation. Zbl 1121.65367
Yang, Ying; Zhou, Aihui
6
2006
Finite volume methods for eigenvalue problems. Zbl 0983.65124
Liang, Shengde; Ma, Xiuling; Zhou, Aihui
6
2001
A sparse finite element method with high accuracy. I. Zbl 0989.65134
Lin, Qun; Yan, Ningning; Zhou, Aihui
6
2001
Symmetric finite volume schemes for eigenvalue problems in arbitrary dimensions. Zbl 1167.65064
Dai, Xiaoying; Yang, Zhang; Zhou, Aihui
6
2008
Optimal and superconvergence estimates of the finite element method for a scalar hyperbolic equation. Zbl 0805.65099
Zhou, Aihui; Lin, Qun
6
1994
Hohenberg-Kohn theorem for Coulomb type systems and its generalization. Zbl 1308.81197
Zhou, Aihui
6
2012
Gradient flow based Kohn-Sham density functional theory model. Zbl 1459.37068
Dai, Xiaoying; Wang, Qiao; Zhou, Aihui
6
2020
A multi-parameter splitting extrapolation and a parallel algorithm for elliptic eigenvalue problem. Zbl 0905.65106
Liao, Xiaohai; Zhou, Aihui
5
1998
An analysis of some high accuracy finite element methods for hyperbolic problems. Zbl 1004.65100
Zhou, Aihui
5
2001
Long-time stability of finite element approximations for parabolic equations with memory. Zbl 0931.65136
Allegretto, Walter; Lin, Yanping; Zhou, Aihui
5
1999
A local computational scheme for higher order finite element value approximation. Zbl 1168.65065
Dai, Xiaoying; Shen, Lihua; Zhou, Aihui
5
2008
A spectrum theorem for perturbed bounded linear operators. Zbl 1161.47004
Ding, Jiu; Zhou, Aihui
5
2008
Structure preserving finite element approximations of Markov operators. Zbl 1073.37091
Ding, Jiu; Zhou, Aihui
5
2002
Finite element computation of KPP front speeds in 3D cellular and ABC flows. Zbl 1416.65465
Shen, L.; Xin, J.; Zhou, A.
5
2013
Constructive approximations of Markov operators. Zbl 0991.37004
Ding, Jiu; Zhou, Aihui
4
2001
New error estimates of biquadratic Lagrange elements for Poisson’s equation. Zbl 1091.65111
Huang, Hung-Tsai; Li, Zi-Cai; Zhou, Aihui
4
2006
Two-scale finite element discretizations for partial differential equations. Zbl 1100.65101
Liu, Fang; Zhou, Aihui
4
2006
On the “preconditioning” function used in planewave DFT calculations and its generalization. Zbl 1388.65195
Zhou, Yunkai; Chelikowsky, James R.; Gao, Xingyu; Zhou, Aihui
4
2015
Some open mathematical problems in electronic structure models and calculations. Zbl 1488.82029
Zhou, Aihui
4
2015
A parallel orbital-updating based optimization method for electronic structure calculations. Zbl 1528.81003
Dai, Xiaoying; Liu, Zhuang; Zhang, Xin; Zhou, Aihui
4
2021
The combination technique for a two-dimensional convection-diffusion problem with exponential layers. Zbl 1212.65443
Franz, Sebastian; Liu, Fang; Roos, Hans-Görg; Stynes, Martin; Zhou, Aihui
4
2009
Global superconvergence approximations of the mixed finite element method for the Stokes problem and the linear elasticity equation. Zbl 0858.73076
Zhou, Aihui
3
1996
Extrapolation for finite volume approximations. Zbl 1036.65091
Ma, Xiuling; Mao, Dong; Zhou, Aihui
3
2003
Analysis of finite dimensional approximations to a class of partial differential equations. Zbl 1064.65125
Bao, Gang; Zhou, Aihui
3
2004
Notes on superconvergence and its related topics. Zbl 0790.65095
Lin, Qun; Zhou, Aihui
3
1993
Localizations and parallelizations for two-scale finite element discretizations. Zbl 1141.65079
Liu, Fang; Zhou, Aihui
3
2007
Parallel mesh refinement of higher order finite elements for electronic structure calculations. Zbl 1364.65259
Zhang, Dier; Zhou, Aihui; Gong, Xin-Gao
3
2008
Finite element computation of KPP front speeds in cellular and cat’s eye flows. Zbl 1366.76055
Shen, Lihua; Xin, Jack; Zhou, Aihui
3
2013
Interpolation based local postprocessing for adaptive finite element approximations in electronic structure calculations. Zbl 1218.81044
Fang, Jun; Gao, Xingyu; Gong, Xingao; Zhou, Aihui
2
2011
The projection method for a class of Frobenius-Perron operators. Zbl 0943.47042
Ding, J.; Zhou, A.
2
1999
Parallel computation and domain decomposition for a class of hyperbolic problems. Zbl 0842.65070
Lin, Qun; Yan, Ningning; Zhou, Aihui
2
1995
Multi-parameter error resolution for the collocation method of Volterra integral equations. Zbl 0910.65110
Zhou, Aihui
2
1997
Multi-parameter asymptotic error resolution of the mixed finite element method for the Stokes problem. Zbl 0917.76042
Zhou, Aihui
2
1999
A finite element method for the Frobenius-Perron operator equation. Zbl 0977.65104
Ding, Jiu; Zhou, Aihui
2
1999
Extrapolation for collocation method of the first kind Volterra integral equations. Zbl 0755.65138
Zhou, Aihui
2
1991
Defect correction for finite element gradient. Zbl 0767.65001
Lin, Qun; Zhou, Aihui
2
1992
Accelerating large partial EVD/SVD calculations by filtered block Davidson methods. Zbl 1353.65029
Zhou, Yunkai; Wang, Zheng; Zhou, Aihui
2
2016
Plane wave methods for quantum eigenvalue problems of incommensurate systems. Zbl 1451.81243
Zhou, Yuzhi; Chen, Huajie; Zhou, Aihui
2
2019
A mathematical aspect of Hohenberg-Kohn theorem. Zbl 1409.81189
Zhou, Aihui
2
2019
A finite element recovery approach to eigenvalue approximations with applications to electronic structure calculations. Zbl 1272.65086
Fang, Jun; Gao, Xingyu; Zhou, Aihui
2
2013
Adaptive finite element analysis for semilinear elliptic problems. Zbl 1499.65665
He, Lianhua; Zhou, Aihui
2
2016
A posteriori error estimates for Markov approximations of Frobenius-Perron operators. Zbl 1119.41018
Ding, Jiu; Jin, Congming; Zhou, Aihui
1
2007
Absolutely continuous invariant measures for piecewise \(C^2\) and expanding mappings in higher dimensions. Zbl 1009.37012
Ding, Jiu; Zhou, Aihui
1
2000
Postprocessed two-scale finite element discretizations. I. Zbl 1241.65101
Liu, Fang; Stynes, Martin; Zhou, Aihui
1
2011
Two-scale finite element discretizations for integrodifferential equations. Zbl 1238.65125
Chen, Huajie; Liu, Fang; Reich, Nils; Winter, Christoph; Zhou, Aihui
1
2011
A parallel orbital-updating based optimization method for electronic structure calculations. Zbl 1528.81003
Dai, Xiaoying; Liu, Zhuang; Zhang, Xin; Zhou, Aihui
4
2021
Layer-splitting methods for time-dependent Schrödinger equations of incommensurate systems. Zbl 1482.35188
Wang, Ting; Chen, Huajie; Zhou, Aihui; Zhou, Yuzhi
1
2021
Gradient flow based Kohn-Sham density functional theory model. Zbl 1459.37068
Dai, Xiaoying; Wang, Qiao; Zhou, Aihui
6
2020
Two-grid based adaptive proper orthogonal decomposition method for time dependent partial differential equations. Zbl 1448.65128
Dai, Xiaoying; Kuang, Xiong; Xin, Jack; Zhou, Aihui
1
2020
Plane wave methods for quantum eigenvalue problems of incommensurate systems. Zbl 1451.81243
Zhou, Yuzhi; Chen, Huajie; Zhou, Aihui
2
2019
A mathematical aspect of Hohenberg-Kohn theorem. Zbl 1409.81189
Zhou, Aihui
2
2019
Finite element methods for eigenvalue problems. Zbl 1351.65085
Sun, Jiguang; Zhou, Aihui
32
2017
A conjugate gradient method for electronic structure calculations. Zbl 1378.65120
Dai, Xiaoying; Liu, Zhuang; Zhang, Liwei; Zhou, Aihui
8
2017
Accelerating large partial EVD/SVD calculations by filtered block Davidson methods. Zbl 1353.65029
Zhou, Yunkai; Wang, Zheng; Zhou, Aihui
2
2016
Adaptive finite element analysis for semilinear elliptic problems. Zbl 1499.65665
He, Lianhua; Zhou, Aihui
2
2016
A singularity-based eigenfunction decomposition for Kohn-Sham equations. Zbl 1386.35316
Zhang, Xin; Zhou, Aihui
1
2016
Convergence and quasi-optimal complexity of adaptive finite element computations for multiple eigenvalues. Zbl 1332.65159
Dai, Xiaoying; He, Lianhua; Zhou, Aihui
16
2015
On the “preconditioning” function used in planewave DFT calculations and its generalization. Zbl 1388.65195
Zhou, Yunkai; Chelikowsky, James R.; Gao, Xingyu; Zhou, Aihui
4
2015
Some open mathematical problems in electronic structure models and calculations. Zbl 1488.82029
Zhou, Aihui
4
2015
Adaptive finite element approximations for Kohn-Sham models. Zbl 1316.35260
Chen, Huajie; Dai, Xiaoying; Gong, Xingao; He, Lianhua; Zhou, Aihui
32
2014
Gradient type optimization methods for electronic structure calculations. Zbl 1300.82006
Zhang, Xin; Zhu, Jinwei; Wen, Zaiwen; Zhou, Aihui
21
2014
Numerical analysis of finite dimensional approximations of Kohn-Sham models. Zbl 1278.35225
Chen, Huajie; Gong, Xingao; He, Lianhua; Yang, Zhang; Zhou, Aihui
24
2013
Finite element computation of KPP front speeds in 3D cellular and ABC flows. Zbl 1416.65465
Shen, L.; Xin, J.; Zhou, A.
5
2013
Finite element computation of KPP front speeds in cellular and cat’s eye flows. Zbl 1366.76055
Shen, Lihua; Xin, Jack; Zhou, Aihui
3
2013
A finite element recovery approach to eigenvalue approximations with applications to electronic structure calculations. Zbl 1272.65086
Fang, Jun; Gao, Xingyu; Zhou, Aihui
2
2013
A Kohn-Sham equation solver based on hexahedral finite elements. Zbl 1245.82007
Fang, Jun; Gao, Xingyu; Zhou, Aihui
13
2012
Hohenberg-Kohn theorem for Coulomb type systems and its generalization. Zbl 1308.81197
Zhou, Aihui
6
2012
Finite element approximations of nonlinear eigenvalue problems in quantum physics. Zbl 1228.81026
Chen, Huajie; He, Lianhua; Zhou, Aihui
26
2011
Convergence and complexity of adaptive finite element methods for elliptic partial differential equations. Zbl 1263.65103
He, Lianhua; Zhou, Aihui
14
2011
A maximum entropy method based on piecewise linear functions for the recovery of a stationary density of interval mappings. Zbl 1231.37042
Ding, Jiu; Jin, Congming; Rhee, Noah H.; Zhou, Aihui
11
2011
Finite volume discretizations for eigenvalue problems with applications to electronic structure calculations. Zbl 1233.65082
Dai, Xiaoying; Gong, Xingao; Yang, Zhang; Zhang, Dier; Zhou, Aihui
11
2011
Adaptive finite element approximations for a class of nonlinear eigenvalue problems in quantum physics. Zbl 1262.35187
Chen, Huajie; Gong, Xingao; He, Lianhua; Zhou, Aihui
7
2011
Interpolation based local postprocessing for adaptive finite element approximations in electronic structure calculations. Zbl 1218.81044
Fang, Jun; Gao, Xingyu; Gong, Xingao; Zhou, Aihui
2
2011
Postprocessed two-scale finite element discretizations. I. Zbl 1241.65101
Liu, Fang; Stynes, Martin; Zhou, Aihui
1
2011
Two-scale finite element discretizations for integrodifferential equations. Zbl 1238.65125
Chen, Huajie; Liu, Fang; Reich, Nils; Winter, Christoph; Zhou, Aihui
1
2011
Numerical approximations of a nonlinear eigenvalue problem and applications to a density functional model. Zbl 1194.35293
Chen, Huajie; Gong, Xingao; Zhou, Aihui
19
2010
Multi-level adaptive corrections in finite dimensional approximations. Zbl 1224.65294
Zhou, Aihui
7
2010
A two-scale sparse grid method for a singularly perturbed reaction-diffusion problem in two dimensions. Zbl 1188.65153
Liu, Fang; Madden, Niall; Stynes, Martin; Zhou, Aihui
36
2009
Statistical properties of deterministic systems. Zbl 1171.37001
Ding, Jiu; Zhou, Aihui
16
2009
Nonnegative matrices, positive operators, and applications. Zbl 1205.15048
Ding, Jiu; Zhou, Aihui
13
2009
A two-scale higher-order finite element discretization for Schrödinger equation. Zbl 1212.65432
Chen, Huajie; Liu, Fang; Zhou, Aihui
7
2009
The combination technique for a two-dimensional convection-diffusion problem with exponential layers. Zbl 1212.65443
Franz, Sebastian; Liu, Fang; Roos, Hans-Görg; Stynes, Martin; Zhou, Aihui
4
2009
A finite element recovery approach to Green’s function approximations with applications to electrostatic potential computation. Zbl 1157.78002
Yang, Ying; Zhou, Aihui
1
2009
Local and parallel finite element algorithms for the Stokes problem. Zbl 1145.65097
He, Yinnian; Xu, Jinchao; Zhou, Aihui; Li, Jian
88
2008
Convergence and optimal complexity of adaptive finite element eigenvalue computations. Zbl 1159.65090
Dai, Xiaoying; Xu, Jinchao; Zhou, Aihui
86
2008
Three-scale finite element discretizations for quantum eigenvalue problems. Zbl 1160.65060
Dai, Xiaoying; Zhou, Aihui
37
2008
Finite element method for solving Kohn-Sham equations based on self-adaptive tetrahedral mesh. Zbl 1221.81225
Zhang, Dier; Shen, Lihua; Zhou, Aihui; Gong, Xin-Gao
25
2008
Finite element approximations for Schrödinger equations with applications to electronic structure computations. Zbl 1174.65047
Gong, Xingao; Shen, Lihua; Zhang, Dier; Zhou, Aihui
19
2008
Orbital-free density functional theory for molecular structure calculations. Zbl 1174.81316
Chen, Huajie; Zhou, Aihui
12
2008
Three-scale finite element eigenvalue discretizations. Zbl 1157.65061
Gao, X.; Liu, F.; Zhou, A.
8
2008
Characteristic polynomials of some perturbed matrices. Zbl 1154.15011
Ding, Jiu; Zhou, Aihui
6
2008
Symmetric finite volume schemes for eigenvalue problems in arbitrary dimensions. Zbl 1167.65064
Dai, Xiaoying; Yang, Zhang; Zhou, Aihui
6
2008
A local computational scheme for higher order finite element value approximation. Zbl 1168.65065
Dai, Xiaoying; Shen, Lihua; Zhou, Aihui
5
2008
A spectrum theorem for perturbed bounded linear operators. Zbl 1161.47004
Ding, Jiu; Zhou, Aihui
5
2008
Parallel mesh refinement of higher order finite elements for electronic structure calculations. Zbl 1364.65259
Zhang, Dier; Zhou, Aihui; Gong, Xin-Gao
3
2008
Finite element computations of Kolmogorov-Petrovsky-Piskunov front speeds in random shear flows in cylinders. Zbl 1400.76096
Shen, Lihua; Xin, Jack; Zhou, Aihui
1
2008
Eigenvalues of rank-one updated matrices with some applications. Zbl 1139.15003
Ding, Jiu; Zhou, Aihui
53
2007
Finite dimensional approximations for the electronic ground state solution of a molecular system. Zbl 1119.35095
Zhou, Aihui
12
2007
Two-scale Boolean Galerkin discretizations for Fredholm integral equations of the second kind. Zbl 1144.65087
Liu, Fang; Zhou, Aihui
7
2007
Localizations and parallelizations for two-scale finite element discretizations. Zbl 1141.65079
Liu, Fang; Zhou, Aihui
3
2007
A posteriori error estimates for Markov approximations of Frobenius-Perron operators. Zbl 1119.41018
Ding, Jiu; Jin, Congming; Zhou, Aihui
1
2007
Local and parallel finite element algorithms for the Navier-Stokes problem. Zbl 1093.76035
He, Yinnian; Xu, Jinchao; Zhou, Aihui
83
2006
Adaptive finite element algorithms for eigenvalue problems based on local averaging type a posteriori error estimates. Zbl 1103.65112
Mao, Dong; Shen, Lihua; Zhou, Aihui
28
2006
Enhancing eigenvalue approximation by gradient recovery. Zbl 1148.65087
Naga, Ahmed; Zhang, Zhimin; Zhou, Aihui
24
2006
A defect correction scheme for finite element eigenvalues with applications to quantum Chemistry. Zbl 1104.65323
Shen, Lihua; Zhou, Aihui
17
2006
An analysis of discontinuous Galerkin methods for elliptic problems. Zbl 1099.65116
Schneider, Reinhold; Xu, Yuesheng; Zhou, Aihui
7
2006
Local averaging based a posteriori finite element error control for quasilinear elliptic problems with application to electrical potential computation. Zbl 1121.65367
Yang, Ying; Zhou, Aihui
6
2006
New error estimates of biquadratic Lagrange elements for Poisson’s equation. Zbl 1091.65111
Huang, Hung-Tsai; Li, Zi-Cai; Zhou, Aihui
4
2006
Two-scale finite element discretizations for partial differential equations. Zbl 1100.65101
Liu, Fang; Zhou, Aihui
4
2006
Superconvergence and extrapolation of non-conforming low order finite elements applied to the Poisson equation. Zbl 1068.65122
Lin, Qun; Tobiska, Lutz; Zhou, Aihui
143
2005
An analysis of finite-dimensional approximations for the ground state solution of Bose-Einstein condensates. Zbl 1051.35094
Zhou, Aihui
23
2004
Fast Boolean approximation methods for solving integral equations in high dimensions. Zbl 1085.65126
Xu, Yuesheng; Zhou, Aihui
8
2004
Analysis of finite dimensional approximations to a class of partial differential equations. Zbl 1064.65125
Bao, Gang; Zhou, Aihui
3
2004
Symmetric finite volume discretizations for parabolic problems. Zbl 1038.65079
Ma, Xiuling; Shu, Shi; Zhou, Aihui
28
2003
Extrapolation for finite volume approximations. Zbl 1036.65091
Ma, Xiuling; Mao, Dong; Zhou, Aihui
3
2003
A note on the optimal \(L^2\)-estimate of the finite volume element method. Zbl 0997.65122
Chen, Zhongying; Li, Ronghua; Zhou, Aihui
55
2002
Local and parallel finite element algorithms for eigenvalue problems. Zbl 1015.65060
Xu, Jinchao; Zhou, Aihui
49
2002
A symmetric finite volume scheme for selfadjoint elliptic problems. Zbl 1027.65150
Liang, Shengde; Ma, Xiuling; Zhou, Aihui
11
2002
Finite approximations of Markov operators. Zbl 1013.65140
Ding, Jiu; Li, Tien Yien; Zhou, Aihui
9
2002
Structure preserving finite element approximations of Markov operators. Zbl 1073.37091
Ding, Jiu; Zhou, Aihui
5
2002
A two-grid discretization scheme for eigenvalue problems. Zbl 0959.65119
Xu, Jinchao; Zhou, Aihui
162
2001
Local and parallel finite element algorithms based on two-grid discretizations for nonlinear problems. Zbl 0990.65128
Xu, Jinchao; Zhou, Aihui
84
2001
Gradient recovery type a posteriori error estimates for finite element approximations on irregular meshes. Zbl 0986.65098
Yan, Ningning; Zhou, Aihui
32
2001
Finite volume methods for eigenvalue problems. Zbl 0983.65124
Liang, Shengde; Ma, Xiuling; Zhou, Aihui
6
2001
A sparse finite element method with high accuracy. I. Zbl 0989.65134
Lin, Qun; Yan, Ningning; Zhou, Aihui
6
2001
An analysis of some high accuracy finite element methods for hyperbolic problems. Zbl 1004.65100
Zhou, Aihui
5
2001
Constructive approximations of Markov operators. Zbl 0991.37004
Ding, Jiu; Zhou, Aihui
4
2001
On estimating absolutely continuous invariant measures. Zbl 1031.37004
Ding, Jiu; Zhou, Aihui
1
2001
Local and parallel finite element algorithms based on two-grid discretizations. Zbl 0948.65122
Xu, Jinchao; Zhou, Aihui
143
2000
Absolutely continuous invariant measures for piecewise \(C^2\) and expanding mappings in higher dimensions. Zbl 1009.37012
Ding, Jiu; Zhou, Aihui
1
2000
A box scheme for coupled systems resulting from microsensor thermistor problems. Zbl 0979.78023
Allegretto, Walter; Lin, Yanping; Zhou, Aihui
21
1999
Error analysis of the combination technique. Zbl 0942.65122
Pflaum, C.; Zhou, A.
19
1999
Long-time stability of finite element approximations for parabolic equations with memory. Zbl 0931.65136
Allegretto, Walter; Lin, Yanping; Zhou, Aihui
5
1999
The projection method for a class of Frobenius-Perron operators. Zbl 0943.47042
Ding, J.; Zhou, A.
2
1999
Multi-parameter asymptotic error resolution of the mixed finite element method for the Stokes problem. Zbl 0917.76042
Zhou, Aihui
2
1999
A finite element method for the Frobenius-Perron operator equation. Zbl 0977.65104
Ding, Jiu; Zhou, Aihui
2
1999
Multi-parameter extrapolation methods for boundary integral equations. Zbl 0922.65075
Rüde, Ulrich; Zhou, Aihui
14
1998
Error analysis on bi-parameter finite elements. Zbl 0945.65122
Zhou, Aihui; Liem, Chinbo; Shih, Tsimin; Lü, Lao
6
1998
A multi-parameter splitting extrapolation and a parallel algorithm for elliptic eigenvalue problem. Zbl 0905.65106
Liao, Xiaohai; Zhou, Aihui
5
1998
Invariant measures and their computation. Zbl 1054.37500
Ding, Jiu; Zhou, Aihui
1
1998
A multi-parameter splitting extrapolation and a parallel algorithm. Zbl 0895.65058
Zhou, Aihui; Liem, Chin-bo; Shih, Tsi-min; Lü, Tao
8
1997
Multi-parameter error resolution for the collocation method of Volterra integral equations. Zbl 0910.65110
Zhou, Aihui
2
1997
Finite approximations of Frobenius-Perron operators. A solution of Ulam’s conjecture to multi-dimensional transformations. Zbl 0890.58035
Ding, Jiu; Zhou, Aihui
29
1996
Global superconvergence approximations of the mixed finite element method for the Stokes problem and the linear elasticity equation. Zbl 0858.73076
Zhou, Aihui
3
1996
Piecewise linear Markov approximations of Frobenius-Perron operators associated with multi-dimensional transformations. Zbl 0907.47025
Ding, Jiu; Zhou, Ai Hui
19
1995
...and 9 more Documents
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Cited by 1,222 Authors

72 Shi, Dongyang
50 Yang, Yidu
48 Zhou, Aihui
46 Ding, Jiu
36 Shang, Yueqiang
36 Xie, Hehu
34 Bi, Hai
32 Xu, Fei
29 Huang, Yunqing
24 Du, Guangzhi
22 Chen, Yanping
21 Zhang, Zhimin
20 He, Yinnian
19 Huang, Qiumei
18 Rhee, Noah H.
16 Han, Jiayu
15 Li, Jian
15 Lin, Qun
14 Li, Yonghai
14 Yan, Ningning
13 Chen, Huajie
13 Hu, Jun
12 Carstensen, Carsten
12 Guan, Hongbo
12 Hu, Guanghui
12 Sun, Jiguang
12 Zuo, Liyun
11 Ma, Hongkun
11 Zhang, Yu
10 Chen, Chuanjun
10 Hou, Yanren
10 Jia, Shanghui
10 Li, Jichun
10 Zhao, Yanmin
9 Dai, Xiaoying
9 Demlow, Alan
9 Jin, Congming
9 Li, Zi-Cai
9 Xie, ManTing
9 Xu, Yuesheng
8 Bi, Chunjia
8 Feng, Xinlong
8 Gong, Wei
8 Hu, Hanzhang
8 Liu, Huipo
8 Shu, Shi
8 Zhang, Tie
7 Chen, Luoping
7 Huang, Jin
7 Madden, Niall
7 Shi, Zhongci
7 Wang, Fenling
7 Wang, Yang
7 Xu, Jinchao
7 Yang, Ying
7 Yue, Meiling
7 Zhang, Houchao
7 Zhang, Shuhua
7 Zheng, Haibiao
6 Bollt, Erik M.
6 Chen, Zhangxin
6 Chien, Cheng-Sheng
6 Gao, Xingyu
6 Gavini, Vikram
6 Gedicke, Joscha
6 Guo, Hailong
6 Huang, Hung-Tsai
6 Stynes, Martin Joseph
6 Tang, Qili
6 Wang, Cheng
6 Wang, Shixi
6 Wang, Xiang
6 Weng, Zhifeng
6 Xu, Chao
6 Yang, Huaijun
6 Yang, Min
6 Zhang, Shuo
6 Zhang, Tong
5 Bao, Gang
5 Cancès, Eric
5 Chen, Hongtao
5 Fang, Jun
5 Froyland, Gary
5 Giani, Stefano
5 Gong, Bo
5 Guo, Yukun
5 He, Xiaoming
5 Lin, Lin
5 Luo, Fusheng
5 Lv, Junliang
5 Mao, Shipeng
5 Meng, XiangYun
5 Motamarri, Phani
5 Ovall, Jeffrey S.
5 Pei, Lifang
5 Perotto, Simona
5 Shanthi, Vembu
5 Shiromani, Ram
5 Si, Zhiyong
5 Temizer, Ilker
...and 1,122 more Authors
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Cited in 163 Serials

76 Journal of Scientific Computing
73 Computers & Mathematics with Applications
56 Applied Mathematics and Computation
55 Journal of Computational and Applied Mathematics
43 Journal of Computational Physics
41 Advances in Computational Mathematics
40 Applied Numerical Mathematics
36 Mathematics of Computation
30 Numerische Mathematik
28 Numerical Methods for Partial Differential Equations
27 Numerical Algorithms
25 Computer Methods in Applied Mechanics and Engineering
22 Advances in Applied Mathematics and Mechanics
22 Science China. Mathematics
19 Applied Mathematics Letters
18 SIAM Journal on Scientific Computing
17 SIAM Journal on Numerical Analysis
17 International Journal of Computer Mathematics
15 Journal of Mathematical Analysis and Applications
15 Mathematical Methods in the Applied Sciences
12 Communications in Computational Physics
10 BIT
10 Applications of Mathematics
9 Applied Mathematics and Mechanics. (English Edition)
9 Acta Mathematicae Applicatae Sinica. English Series
9 International Journal of Bifurcation and Chaos in Applied Sciences and Engineering
9 Mathematical Problems in Engineering
9 European Series in Applied and Industrial Mathematics (ESAIM): Mathematical Modelling and Numerical Analysis
8 Computer Physics Communications
8 Physica D
8 Discrete and Continuous Dynamical Systems. Series B
8 Journal of Systems Science and Complexity
7 Journal of Computational Mathematics
7 Multiscale Modeling & Simulation
7 East Asian Journal on Applied Mathematics
6 Linear Algebra and its Applications
6 Abstract and Applied Analysis
5 Journal of Statistical Physics
5 Calcolo
5 Nonlinear Analysis. Theory, Methods & Applications. Series A: Theory and Methods
5 SIAM Journal on Matrix Analysis and Applications
5 Science in China. Series A
5 Computational and Applied Mathematics
5 Engineering Analysis with Boundary Elements
5 International Journal of Numerical Analysis and Modeling
5 Inverse Problems and Imaging
4 Applicable Analysis
4 Linear and Multilinear Algebra
4 Chaos, Solitons and Fractals
4 Mathematics and Computers in Simulation
4 Journal of Integral Equations and Applications
4 Applied Mathematical Modelling
4 Communications in Nonlinear Science and Numerical Simulation
4 Computational Methods in Applied Mathematics
4 Nonlinear Analysis. Theory, Methods & Applications
4 AMM. Applied Mathematics and Mechanics. (English Edition)
4 Electronic Research Archive
3 Computers and Fluids
3 Inverse Problems
3 Computing
3 International Journal for Numerical Methods in Engineering
3 Ergodic Theory and Dynamical Systems
3 M\(^3\)AS. Mathematical Models & Methods in Applied Sciences
3 Numerical Linear Algebra with Applications
3 Journal of Mathematical Chemistry
3 ZAMM. Zeitschrift für Angewandte Mathematik und Mechanik
3 Chaos
3 Journal of Numerical Mathematics
3 Journal of Applied Mathematics and Computing
3 SIAM Journal on Applied Dynamical Systems
3 Numerical Mathematics: Theory, Methods and Applications
3 Research in the Mathematical Sciences
3 International Journal of Applied and Computational Mathematics
3 Open Mathematics
3 Korean Journal of Mathematics
3 AIMS Mathematics
2 Journal of Differential Equations
2 Numerical Functional Analysis and Optimization
2 Journal of Complexity
2 Differential Equations and Dynamical Systems
2 Taiwanese Journal of Mathematics
2 Journal of Inequalities and Applications
2 Acta Mathematica Sinica. English Series
2 Engineering Computations
2 International Journal of Nonlinear Sciences and Numerical Simulation
2 Acta Mathematica Scientia. Series B. (English Edition)
2 International Journal of Computational Methods
2 Boundary Value Problems
2 Journal of Physics A: Mathematical and Theoretical
2 Journal of Computational Dynamics
1 Discrete Applied Mathematics
1 European Journal of Physics
1 International Journal of Theoretical Physics
1 Israel Journal of Mathematics
1 Journal of Mathematical Physics
1 Nonlinearity
1 Advances in Mathematics
1 American Journal of Mathematics
1 Automatica
1 Functiones et Approximatio. Commentarii Mathematici
...and 63 more Serials
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Cited in 50 Fields

908 Numerical analysis (65-XX)
487 Partial differential equations (35-XX)
178 Fluid mechanics (76-XX)
64 Dynamical systems and ergodic theory (37-XX)
45 Mechanics of deformable solids (74-XX)
42 Linear and multilinear algebra; matrix theory (15-XX)
42 Quantum theory (81-XX)
39 Calculus of variations and optimal control; optimization (49-XX)
38 Optics, electromagnetic theory (78-XX)
35 Integral equations (45-XX)
33 Operator theory (47-XX)
32 Statistical mechanics, structure of matter (82-XX)
19 Probability theory and stochastic processes (60-XX)
19 Operations research, mathematical programming (90-XX)
15 Approximations and expansions (41-XX)
15 Statistics (62-XX)
13 Computer science (68-XX)
10 Combinatorics (05-XX)
10 Biology and other natural sciences (92-XX)
9 Ordinary differential equations (34-XX)
9 Systems theory; control (93-XX)
7 Measure and integration (28-XX)
6 Potential theory (31-XX)
5 Classical thermodynamics, heat transfer (80-XX)
5 Information and communication theory, circuits (94-XX)
4 Real functions (26-XX)
4 Global analysis, analysis on manifolds (58-XX)
4 Mechanics of particles and systems (70-XX)
4 Game theory, economics, finance, and other social and behavioral sciences (91-XX)
3 Number theory (11-XX)
3 Difference and functional equations (39-XX)
3 Geophysics (86-XX)
2 Commutative algebra (13-XX)
2 Associative rings and algebras (16-XX)
2 Harmonic analysis on Euclidean spaces (42-XX)
2 Functional analysis (46-XX)
2 Convex and discrete geometry (52-XX)
2 Differential geometry (53-XX)
1 General and overarching topics; collections (00-XX)
1 History and biography (01-XX)
1 Mathematical logic and foundations (03-XX)
1 Nonassociative rings and algebras (17-XX)
1 Group theory and generalizations (20-XX)
1 Functions of a complex variable (30-XX)
1 Special functions (33-XX)
1 Integral transforms, operational calculus (44-XX)
1 General topology (54-XX)
1 Algebraic topology (55-XX)
1 Relativity and gravitational theory (83-XX)
1 Astronomy and astrophysics (85-XX)

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