Aihui Zhou

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All published works

Action	Title	Year	Authors
+	A mathematical aspect of Bloch’s theorem	2024	Yan Li Bin Yang Aihui Zhou
+ PDF Chat	Numerical Analysis of the Parallel Orbital-Updating Approach for Eigenvalue Problems	2024	Xiaoying Dai Li Yan Bin Yang Aihui Zhou
+ PDF Chat	An augmented subspace based adaptive proper orthogonal decomposition method for time dependent partial differential equations	2024	Xiaoying Dai M. Hu Jack Xin Aihui Zhou
+ PDF Chat	A Mathematical Aspect of Bloch's Theorem	2024	Yan Li Bin Yang Aihui Zhou
+	A Fast, Performant, Secure Distributed Training Framework For Large Language Model	2024	Wei Huang Yinggui Wang Anda Cheng Aihui Zhou Chaofan Yu Lei Wang
+ PDF Chat	Localization in the Incommensurate Systems: A Plane Wave Study via Effective Potentials	2024	Ting Wang Ting Wang Yuzhi Zhou Yuzhi Zhou Aihui Zhou
+ PDF Chat	Symmetrized Two-Scale Finite Element Discretizations for Partial Differential Equations with Symmetric Solutions	2023	Pengyu Hou Fang Liu Aihui Zhou
+ PDF Chat	Mathematical Analysis and Numerical Approximations of Density Functional Theory Models for Metallic Systems	2023	Xiaoying Dai Stefano de Gironcoli Bin Yang Aihui Zhou
+ PDF Chat	An extended plane wave framework for the electronic structure calculations of twisted bilayer material systems	2023	Xiaoying Dai Aihui Zhou Yuzhi Zhou
+ PDF Chat	Convergent and Orthogonality Preserving Schemes for Approximating the Kohn-Sham Orbitals	2023	Xiaoying Dai Liwei Zhang null Aihui Zhou
+	An extended plane wave framework for the electronic structure calculations of twisted bilayer material systems	2023	Xiaoying Dai Aihui Zhou Yuzhi Zhou
+	An Augmented Subspace Based Adaptive Proper Orthogonal Decomposition Method for Time Dependent Partial Differential Equations	2023	Xiaoying Dai Miao Hu Jack Xin Aihui Zhou
+	Localization in the Incommensurate Systems: A Plane Wave Study via Effective Potentials	2023	Ting Wang Yuzhi Zhou Aihui Zhou
+	Mathematical Analysis and Numerical Approximations of Density Functional Theory Models for Metallic Systems	2022	Xiaoying Dai Stefano de Gironcoli Bin Yang Aihui Zhou
+	Convergence of the Planewave Approximations for Quantum Incommensurate Systems	2022	Ting Wang Huajie Chen Aihui Zhou Yuzhi Zhou Daniel Massatt
+	Symmetrized two-scale finite element discretizations for partial differential equations with symmetric solutions	2022	Pengyu Hou Fang Liu Aihui Zhou
+ PDF Chat	A parallel orbital-updating based optimization method for electronic structure calculations	2021	Xiaoying Dai Zhuang Liu Xin Zhang Aihui Zhou
+	Convergence and Optimal Complexity of the Adaptive Planewave Method for Eigenvalue Computations.	2021	Xiaoying Dai Yan Pan Bin Yang Aihui Zhou
+ PDF Chat	Layer-splitting methods for time-dependent Schr\"{o}dinger equations of incommensurate systems	2021	Ting Wang Huajie Chen Aihui Zhou Yuzhi Zhou
+	Layer-splitting methods for time-dependent Schrödinger equations of incommensurate systems	2021	Ting Wang Huajie Chen Aihui Zhou Yuzhi Zhou
+	Convergent and orthogonality preserving schemes for approximating the Kohn-Sham orbitals	2021	Xiaoying Dai Liwei Zhang Aihui Zhou
+ PDF Chat	Layer-Splitting Methods for Time-Dependent Schrödinger Equations of Incommensurate Systems	2021	Ting Wang Huajie Chen Aihui Zhou Yuzhi Zhou
+	Convergence and Complexity of an Adaptive Planewave Method for Eigenvalue Computations	2021	Xiaoying Dai Pan Yan Bin Yang Aihui Zhou
+ PDF Chat	Eigenfunction behavior and adaptive finite element approximations of nonlinear eigenvalue problems in quantum physics	2020	Bin Yang Aihui Zhou
+	Two-Grid Based Adaptive Proper Orthogonal Decomposition Method for Time Dependent Partial Differential Equations	2020	Xiaoying Dai Xiong Kuang Jack Xin Aihui Zhou
+	Pactical Newton Methods for Electronic Structure Calculations	2020	Xiaoying Dai Liwei Zhang Aihui Zhou
+	A plane wave study on the localized-extended transitions in the one-dimensional incommensurate systems	2020	Huajie Chen Aihui Zhou Yuzhi Zhou
+	S3ML: A Secure Serving System for Machine Learning Inference	2020	Junming Ma Chaofan Yu Aihui Zhou Bingzhe Wu Xibin Wu Xingyu Chen Xiangqun Chen Lei Wang Donggang Cao
+ PDF Chat	Plane wave methods for quantum eigenvalue problems of incommensurate systems	2019	Yuzhi Zhou Huajie Chen Aihui Zhou
+	Adaptive Step Size Strategy for Orthogonality Constrained Line Search Methods	2019	Xiaoying Dai Liwei Zhang Aihui Zhou
+	Two-Grid based Adaptive Proper Orthogonal Decomposition Algorithm for Time Dependent Partial Differential Equations	2019	Xiaoying Dai Xiong Kuang Jack Xin Aihui Zhou
+	Gradient Flow Based Discretized Kohn-Sham Density Functional Theory	2019	Xiaoying Dai Qiao Wang Aihui Zhou
+	Eigenfunction Behavior and Adaptive Finite Element Approximations of Nonlinear Eigenvalue Problems in Quantum Physics	2019	Bin Yang Aihui Zhou
+ PDF Chat	A mathematical aspect of Hohenberg-Kohn theorem	2018	Aihui Zhou
+ PDF Chat	A parallel orbital-updating based plane-wave basis method for electronic structure calculations	2017	Yan Pan Xiaoying Dai Stefano de Gironcoli Xin-Gao Gong Gian‐Marco Rignanese Aihui Zhou
+	A Mathematical Aspect of Hohenberg-Kohn Theorem	2017	Aihui Zhou
+ PDF Chat	A Conjugate Gradient Method for Electronic Structure Calculations	2017	Xiaoying Dai Zhuang Liu Liwei Zhang Aihui Zhou
+	Accelerating large partial EVD/SVD calculations by filtered block Davidson methods	2016	Yunkai Zhou Zheng Wang Aihui Zhou
+	A singularity-based eigenfunction decomposition for Kohn-Sham equations	2016	Xin Zhang Aihui Zhou
+	A conjugate gradient optimization method for electronic structure calculations	2016	Xiaoying Dai Zhuang Liu Aihui Zhou
+	A conjugate gradient method for electronic structure calculations	2016	Xiaoying Dai Zhuang Liu Liwei Zhang Aihui Zhou
+	A Parallel Orbital-updating Based Optimization Method for Electronic Structure Calculations	2015	Xiaoying Dai Zhuang Liu Xin Zhang Aihui Zhou
+ PDF Chat	Accuracy of generalized gradient approximation functionals for density-functional perturbation theory calculations	2014	Lianhua He Fang Liu Geoffroy Hautier Micael J. T. Oliveira Miguel A. L. Marques Fernando D. Vila J. J. Rehr Gian‐Marco Rignanese Aihui Zhou
+	A Parallel Orbital-Updating Approach for Electronic Structure Calculations	2014	Xiaoying Dai Xingao Gong Aihui Zhou Jinwei Zhu
+ PDF Chat	Gradient Type Optimization Methods For Electronic Structure Calculations	2014	Xin Zhang Jinwei Zhu Zaiwen Wen Aihui Zhou
+ PDF Chat	Adaptive Finite Element Approximations for Kohn--Sham Models	2014	Huajie Chen Xiaoying Dai Xingao Gong Lianhua He Aihui Zhou
+	Adaptive Finite Element Approximations for Kohn-Sham Models	2013	Huajie Chen Xiaoying Dai Xingao Gong Lianhua He Aihui Zhou
+	Gradient type optimization methods for electronic structure calculations	2013	Xin Zhang Jinwei Zhu Zaiwen Wen Aihui Zhou
+	A Symmetry-based Decomposition Approach to Eigenvalue Problems: Formulation, Discretization, and Implementation	2012	Jun Fang Xingyu Gao Aihui Zhou
+	Convergence Rate and Quasi-Optimal Complexity of Adaptive Finite Element Computations for Multiple Eigenvalues	2012	Xiaoying Dai Lianhua He Aihui Zhou
+ PDF Chat	Numerical analysis of finite dimensional approximations of Kohn–Sham models	2011	Huajie Chen Xin-Gao Gong Lianhua He Yang Zhang Aihui Zhou
+	A Maximum Entropy Method Based on Piecewise Linear Functions for the Recovery of a Stationary Density of Interval Mappings	2011	Jiu Ding Congming Jin Noah H. Rhee Aihui Zhou
+ PDF Chat	Two-scale finite element discretizations for integro- differential equations	2011	Huajie Chen Fang Liu Nils Reich Christoph Winter Aihui Zhou
+	Adaptive Finite Element Approximations for a Class of Nonlinear Eigenvalue Problems in Quantum Physics	2011	Huajie Chen Xingao Gong Lianhua He Aihui Zhou
+	Finite element approximations of nonlinear eigenvalue problems in quantum physics	2011	Huajie Chen Lianhua He Aihui Zhou
+	Hohenberg-Kohn Theorem for Coulomb Type Systems	2011	Aihui Zhou
+	Numerical Analysis of Finite Dimensional Approximations of Kohn-Sham Models	2011	Huajie Chen Xingao Gong Lianhua He Yang Zhang Aihui Zhou
+	Numerical approximations of a nonlinear eigenvalue problem and applications to a density functional model	2010	Huajie Chen Xingao Gong Aihui Zhou
+	Convergence and Optimal Complexity of Adaptive Finite Element Methods	2010	Lianhua He Aihui Zhou
+ PDF Chat	The combination technique for a two-dimensional convection-diffusion problem with exponential layers	2009	Sebastian Franz Fang Liu Hans‐Görg Roos Martin Stynes Aihui Zhou
+	Invariant Measures—Computation	2009	Jiu Ding Aihui Zhou
+	Foundations of Measure Theory	2009	Jiu Ding Aihui Zhou
+ PDF Chat	Convergence Rate Analysis	2009	Jiu Ding Aihui Zhou
+	Invariant Measures—Existence	2009	Jiu Ding Aihui Zhou
+	Rudiments of Ergodic Theory	2009	Jiu Ding Aihui Zhou
+	A spectrum theorem for perturbed bounded linear operators	2008	Jiu Ding Aihui Zhou
+	Three-Scale Finite Element Discretizations for Quantum Eigenvalue Problems	2008	Xiaoying Dai Aihui Zhou
+	A LOCAL COMPUTATIONAL SCHEME FOR HIGHER ORDER FINITE ELEMENT EIGENVALUE APPROXIMATIONS	2008	Xiaoying Dai Lihua Shen Aihui Zhou
+	Eigenvalues of rank-one updated matrices with some applications	2007	Jiu Ding Aihui Zhou
+	Two‐Scale Boolean Galerkin Discretizations for Fredholm Integral Equations of the Second Kind	2007	Fang Liu Aihui Zhou
+ PDF Chat	Finite dimensional approximations for the electronic ground state solution of a molecular system	2006	Aihui Zhou
+	A posteriori error estimates for Markov approximations of Frobenius–Perron operators	2006	Jiu Ding Congming Jin Aihui Zhou
+ PDF Chat	Fast Boolean Approximation Methods for Solving Integral Equations in High Dimensions	2004	Yuesheng Xu Aihui Zhou
+ PDF Chat	A Quasi Monte Carlo Approach to Piecewise Linear Markov Approximations of Markov Operators	2003	Jiu Ding Dong Mao Aihui Zhou
+	A Quasi Monte Carlo Approach to Piecewise Linear Markov Approximations of Markov Operators	2003	Jiu Ding Dong Mao Aihui Zhou
+	GLOBAL SUPERCONVERGENCE OF BIQUADRATIC LAGRANGE ELEMENTS FOR POISSON’S EQUATION	2003	Hung‐Tsai Huang Zi‐Cai Li Aihui Zhou
+	Finite approximations of Markov operators	2002	Jiu Ding Tien-Yien Li Aihui Zhou
+ PDF Chat	Some multiscale methods for partial differential equations	2002	Jinchao Xu Aihui Zhou
+	On estimating absolutely continuous invariant measures	2001	Jiu Ding Aihui Zhou
+	None	2001	Shengde Liang Xiuling Ma Aihui Zhou
+	None	2001	Jiu Ding Aihui Zhou
+ PDF Chat	Absolutely continuous invariant measures for piecewise $C^2$ and expanding mappings in higher dimensions	2000	Jiu Ding Aihui Zhou
+	Computing fixed points of quasi-compact Frobenius–Perron operators	2000	Jiu Ding Aihui Zhou
+	Computing fixed densities of a class of Frobenius-Perron operators	1998	Jiu Ding Aihui Zhou
+	Multi-parameter error resolution for the collocation method of Volterra integral equations	1997	Aihui Zhou
+	Finite approximations of Frobenius-Perron operators. A solution of Ulam's conjecture to multi-dimensional transformations	1996	Jiu Ding Aihui Zhou
+	The projection method for computing multidimensional absolutely continuous invariant measures	1994	Jiu Ding Aihui Zhou
+	OPTIMAL AND SUPERCONVERGENCE ESTIMATES OF THE FINITE ELEMENT METHOD FOR A SCALAR HYPERBOLIC EQUATION	1994	Aihui Zhou Qun Lin
+	CONVERGENCE OF THE DISCONTINUOUS GALERKIN METHOD FOR A SCALAR HYPERBOLIC EQUATION	1993	Qun Lin Aihui Zhou
+	EXTRAPOLATION FOR COLLOCATION METHOD OF THE FIRST KIND VOLTERRA INTEGRAL EQUATIONS	1991	Aihui Zhou

Common Coauthors

Coauthor	Papers Together
Xiaoying Dai	28
Jiu Ding	19
Lianhua He	9
Huajie Chen	8
Yuzhi Zhou	6
Xingao Gong	6
Huajie Chen	6
Liwei Zhang	5
Fang Liu	5
Zhuang Liu	5
Jack Xin	4
Jinwei Zhu	3
Ting Wang	3
Stefano de Gironcoli	3
Yuzhi Zhou	3
Bin Yang	3
Yan Pan	2
Yan Li	2
Dong Mao	2
Gian‐Marco Rignanese	2
Qun Lin	2
Yang Zhang	2
Xiong Kuang	2
Congming Jin	2
Bin Yang	2
Xin-Gao Gong	2
Zaiwen Wen	2
Bin Yang	2
Xibin Wu	1
J. J. Rehr	1
Yunkai Zhou	1
Micael J. T. Oliveira	1
Lihua Shen	1
Ting Wang	1
Pan Yan	1
Xin Zhang	1
Xin Zhang	1
Xin Zhang	1
Bin Yang	1
Zheng Wang	1
Ting Wang	1
Lei Wang	1
Qiao Wang	1
Chaofan Yu	1
Xin Zhang	1
Bin Yang	1
Jinchao Xu	1
Xiangqun Chen	1
Li Yan	1
Xingyu Gao	1

Commonly Cited References

Action	Title	Year	Authors	# of times referenced
+ PDF Chat	The Geometry of Algorithms with Orthogonality Constraints	1998	Alan Edelman T. A. Arias Steven T. Smith	12
+	Finite approximation for the Frobenius-Perron operator. A solution to Ulam's conjecture	1976	Tien-Yien Li	10
+ PDF Chat	Adaptive Finite Element Approximations for Kohn--Sham Models	2014	Huajie Chen Xiaoying Dai Xingao Gong Lianhua He Aihui Zhou	10
+	Finite element approximations of nonlinear eigenvalue problems in quantum physics	2011	Huajie Chen Lianhua He Aihui Zhou	10
+ PDF Chat	Numerical analysis of the planewave discretization of some orbital-free and Kohn-Sham models	2011	Éric Cancès Rachida Chakir Yvon Maday	9
+	Convergence acceleration of iterative sequences. the case of scf iteration	1980	Péter Pulay	9
+ PDF Chat	On the Convergence of the Self-Consistent Field Iteration in Kohn--Sham Density Functional Theory	2014	Xin Liu Xiao Wang Zaiwen Wen Ya-xiang Yuan	9
+ PDF Chat	Finite dimensional approximations for the electronic ground state solution of a molecular system	2006	Aihui Zhou	9
+ PDF Chat	Gradient Type Optimization Methods For Electronic Structure Calculations	2014	Xin Zhang Jinwei Zhu Zaiwen Wen Aihui Zhou	8
+ PDF Chat	A feasible method for optimization with orthogonality constraints	2012	Zaiwen Wen Wotao Yin	8
+	Absolutely Continuous Invariant Measures for Piecewise Expanding C 2 Transformations in R N	2004	Paweł Góra A. Boyarsky	7
+ PDF Chat	Three real‐space discretization techniques in electronic structure calculations	2006	T. Torsti Timo Eirola Jussi Enkovaara Tero Hakala P. Havu Ville Havu Tommi Höynälänmaa Janne Ignatius Mikko Lyly Ilja Makkonen	7
+ PDF Chat	Numerical analysis of finite dimensional approximations of Kohn–Sham models	2011	Huajie Chen Xin-Gao Gong Lianhua He Yang Zhang Aihui Zhou	7
+	Three-Scale Finite Element Discretizations for Quantum Eigenvalue Problems	2008	Xiaoying Dai Aihui Zhou	7
+	Numerical approximations of a nonlinear eigenvalue problem and applications to a density functional model	2010	Huajie Chen Xingao Gong Aihui Zhou	7
+	Absolutely continuous invariant measures for piecewise expandingC 2 transformations inR N	1989	Paweł Góra A. Boyarsky	7
+ PDF Chat	On the Analysis of the Discretized Kohn--Sham Density Functional Theory	2015	Xin Liu Zaiwen Wen Xiao Wang Michael Ulbrich Ya-xiang Yuan	7
+ PDF Chat	Real-space mesh techniques in density-functional theory	2000	Thomas L. Beck	7
+ PDF Chat	Higher-order adaptive finite-element methods for Kohn–Sham density functional theory	2013	Phani Motamarri Mark Nowak Kenneth Leiter Jaroslaw Knap Vikram Gavini	7
+	On the Convergence of the Self-Consistent Field Iteration for a Class of Nonlinear Eigenvalue Problems	2009	Chao Yang Weiguo Gao Juan Meza	6
+	A Riemannian Newton Algorithm for Nonlinear Eigenvalue Problems	2015	Zhi Zhao Zheng‐Jian Bai Xiaoqing Jin	6
+ PDF Chat	A Conjugate Gradient Method for Electronic Structure Calculations	2017	Xiaoying Dai Zhuang Liu Liwei Zhang Aihui Zhou	6
+	Optimization Algorithms on Matrix Manifolds	2007	P.-A. Absil Robert Mahony Rodolphe Sepulchre	6
+ PDF Chat	CONVERGENCE OF ADAPTIVE FINITE ELEMENT METHODS FOR EIGENVALUE PROBLEMS	2009	Eduardo M. Garau Pedro Morín Carlos Zuppa	6
+	On the Existence of Invariant Measures for Piecewise Monotonic Transformations	1974	Andrzej Lasota James A. Yorke	6
+ PDF Chat	On the existence of invariant measures for piecewise monotonic transformations	1973	A. Lasota James A. Yorke	5
+	A Parallel Orbital-Updating Approach for Electronic Structure Calculations	2014	Xiaoying Dai Xingao Gong Aihui Zhou Jinwei Zhu	5
+	Error analysis of the combination technique	1999	Christoph Pflaum Awei Zhou	5
+ PDF Chat	Numerical Analysis of Nonlinear Eigenvalue Problems	2010	Éric Cancès Rachida Chakir Yvon Maday	5
+	Piecewise linear markov approximations of frobenius-perron operators associated with multi-dimensional transformations	1995	Jiu Ding Ai Hui Zhou	5
+ PDF Chat	Computing the Ground State Solution of Bose--Einstein Condensates by a Normalized Gradient Flow	2004	Weizhu Bao Qiang Du	5
+	Methods of Modern Mathematical Physics	1972	Michael C. Reed Barry Simon	5
+	Markov finite approximation of Frobenius-Perron operator	1991	Jiu Ding Tien-Yien Li	5
+ PDF Chat	Approximation error for invariant density calculations	1998	Rua Murray	4
+	Unique Continuation and Absence of Positive Eigenvalues for Schrodinger Operators	1985	David Jerison Carlos E. Kenig	4
+	Recent work on sharp estimates in second-order elliptic unique continuation problems	1993	Thomas Wolff	4
+	A convergence rate analysis for markov finite approximations to a class of Frobenius-Perron operators	1998	Jiu Ding Tien-Yien Li	4
+ PDF Chat	The completion of locally refined simplicial partitions created by bisection	2007	Rob Stevenson	4
+ PDF Chat	Mathematical theory and numerical methods for Bose-Einstein condensation	2012	Weizhu Bao Yongyong Cai	4
+	DIRECT MINIMIZATION FOR CALCULATING INVARIANT SUBSPACES IN DENSITY FUNCTIONAL COMPUTATIONS OF THE ELECTRONIC STRUCTURE	2009	Reinhold Schneider Thorsten Rohwedder Alexey Neelov Johannes Johannes Blauert	4
+	Regularity and Approximability of Electronic Wave Functions	2010	Harry Yserentant	4
+	Adaptive Finite Element Approximations for a Class of Nonlinear Eigenvalue Problems in Quantum Physics	2011	Huajie Chen Xingao Gong Lianhua He Aihui Zhou	4
+ PDF Chat	A framework of constraint preserving update schemes for optimization on Stiefel manifold	2014	Bo Jiang Yu‐Hong Dai	4
+	Convergence of Adaptive Finite Element Methods for General Second Order Linear Elliptic PDEs	2005	Khamron Mekchay Ricardo H. Nochetto	4
+ PDF Chat	Book Review: Lectures on exponential decay of solutions of second-order elliptic equations: bounds on eigenfunctions of $N$-body Schrödinger operators	1985	Percy Deift	4
+	Elliptic Problems in Nonsmooth Domains	2011	Pierre Grisvard	4
+	Positivity of the spherically averaged atomic one-electron density	2007	Søren Fournais M. Hoffmann-Ostenhof Thomas Hoffmann-Ostenhof Thomas Østergaard Sørensen	4
+	Approximating measures invariant under higher-dimensional chaotic transformations	1991	A. Boyarsky You-Shi Lou	4
+	Two-Point Step Size Gradient Methods	1988	Jonathan Barzilai Jonathan M. Borwein	4
+ PDF Chat	On invariant measures for piecewise $C^2$-transformations of the n-dimensional cube	1983	M. Jabłoński	4