Multi-parameter extrapolation methods for boundary integral equations. - Ulrich Rüde; Aihui Zhou (Adv. Comput. Math., 1998)

Numerical analysis for systems with memory arising from semiconductor simulations. - Walter Allegretto; Yanping Lin; Aihui Zhou (Appl. Math. Comput., 1999)

A finite element method for the Frobenius-Perron operator equation. - Jiu Ding; Aihui Zhou (Appl. Math. Comput., 1999)

Error analysis of the combination technique. - Christoph Pflaum; Aihui Zhou (Numerische Mathematik, 1999)

Local and parallel finite element algorithms based on two-grid discretizations. - Jinchao Xu; Aihui Zhou (Math. Comput., 2000)

Local and Parallel Finite Element Algorithms Based on Two-Grid Discretizations for Nonlinear Problems. - Jinchao Xu; Aihui Zhou (Adv. Comput. Math., 2001)

A two-grid discretization scheme for eigenvalue problems. - Jinchao Xu; Aihui Zhou (Math. Comput., 2001)

A sparse finite element method with high accuracy Part I. - Qun Lin 001; Ningning Yan; Aihui Zhou (Numerische Mathematik, 2001)

An Analysis of Some High Accuracy Finite Element Methods for Hyperbolic Problems. - Aihui Zhou (SIAM J. Numer. Anal., 2001)

A Note on the Optimal L2-Estimate of the Finite Volume Element Method. - Zhongying Chen; Ronghua Li; Aihui Zhou (Adv. Comput. Math., 2002)

A Quasi Monte Carlo Approach to Piecewise Linear Markov Approximations of Markov Operators. - Jiu Ding; Dong Mao; Aihui Zhou (Monte Carlo Methods Appl., 2003)

Extrapolation for Finite Volume Approximations. - Xiuling Ma; Dong Mao; Aihui Zhou (SIAM J. Sci. Comput., 2003)

Adaptive finite element algorithms for eigenvalue problems based on local averaging type a posteriori error estimates. - Dong Mao; Lihua Shen; Aihui Zhou (Adv. Comput. Math., 2006)

An analysis of discontinuous Galerkin methods for elliptic problems. - Reinhold Schneider; Yuesheng Xu; Aihui Zhou (Adv. Comput. Math., 2006)

Enhancing Eigenvalue Approximation by Gradient Recovery. - Ahmed Naga; Zhimin Zhang; Aihui Zhou (SIAM J. Sci. Comput., 2006)

A Defect Correction Scheme for Finite Element Eigenvalues with Applications to Quantum Chemistry. - Lihua Shen; Aihui Zhou (SIAM J. Sci. Comput., 2006)

Eigenvalues of rank-one updated matrices with some applications. - Jiu Ding; Aihui Zhou (Appl. Math. Lett., 2007)

Three-Scale Finite Element Discretizations for Quantum Eigenvalue Problems. - Xiaoying Dai; Aihui Zhou (SIAM J. Numer. Anal., 2007)

Two-Scale Boolean Galerkin Discretizations for Fredholm Integral Equations of the Second Kind. - Fang Liu; Aihui Zhou (SIAM J. Numer. Anal., 2007)

Characteristic polynomials of some perturbed matrices. - Jiu Ding; Aihui Zhou (Appl. Math. Comput., 2008)

A spectrum theorem for perturbed bounded linear operators. - Jiu Ding; Aihui Zhou (Appl. Math. Comput., 2008)

Finite Element Computations of Kolmogorov-Petrovsky-Piskunov Front Speeds in Random Shear Flows in Cylinders. - Lihua Shen; Jack Xin; Aihui Zhou (Multiscale Model. Simul., 2008)

Convergence and optimal complexity of adaptive finite element eigenvalue computations. - Xiaoying Dai; Jinchao Xu; Aihui Zhou (Numerische Mathematik, 2008)

Local and parallel finite element algorithms for the stokes problem. - Yinnian He; Jinchao Xu; Aihui Zhou; Jian Li 029 (Numerische Mathematik, 2008)

Two-scale finite element Green's function approximations with applications to electrostatic potential computation. - Ying Yang; Aihui Zhou (J. Syst. Sci. Complex., 2010)

Finite Volume Discretizations for Eigenvalue Problems with Applications to Electronic Structure Calculations. - Xiaoying Dai; Xingao Gong; Zhang Yang; Dier Zhang; Aihui Zhou (Multiscale Model. Simul., 2011)

Postprocessed Two-Scale Finite Element Discretizations, Part I. - Fang Liu; Martin Stynes; Aihui Zhou (SIAM J. Numer. Anal., 2011)

A Kohn-Sham equation solver based on hexahedral finite elements. - Jun Fang; Xingyu Gao 003; Aihui Zhou (J. Comput. Phys., 2012)

Numerical analysis of finite dimensional approximations of Kohn-Sham models. - Huajie Chen; Xingao Gong; Lianhua He; Zhang Yang; Aihui Zhou (Adv. Comput. Math., 2013)

A Finite Element Recovery Approach to Eigenvalue Approximations with Applications to Electronic Structure Calculations. - Jun Fang; Xingyu Gao 003; Aihui Zhou (J. Sci. Comput., 2013)

A Symmetry-Based Decomposition Approach to Eigenvalue Problems. - Jun Fang; Xingyu Gao 003; Aihui Zhou (J. Sci. Comput., 2013)

Finite Element Computation of KPP Front Speeds in Cellular and Cat's Eye Flows. - Lihua Shen; Jack Xin; Aihui Zhou (J. Sci. Comput., 2013)

Adaptive Finite Element Approximations for Kohn-Sham Models. - Huajie Chen; Xiaoying Dai; Xingao Gong; Lianhua He; Aihui Zhou (Multiscale Model. Simul., 2014)

Gradient Type Optimization Methods For Electronic Structure Calculations. - Xin Zhang; Jinwei Zhu; Zaiwen Wen; Aihui Zhou (SIAM J. Sci. Comput., 2014)

Recent developments in the ABINIT software package. - Xavier Gonze; François Jollet; Flavio Abreu Araujo; Donat Adams; Bernard Amadon; Thomas Applencourt; Christophe Audouze; Jean-Michel Beuken; Jordan Bieder; A. Bokhanchuk; Eric Bousquet; Fabien Bruneval; et al. (Comput. Phys. Commun., 2016)

A parallel orbital-updating based plane-wave basis method for electronic structure calculations. - Yan Pan; Xiaoying Dai; Stefano de Gironcoli; Xingao Gong; Gian-Marco Rignanese; Aihui Zhou (J. Comput. Phys., 2017)

A Conjugate Gradient Method for Electronic Structure Calculations. - Xiaoying Dai; Zhuang Liu; Liwei Zhang; Aihui Zhou (SIAM J. Sci. Comput., 2017)

Two-Grid based Adaptive Proper Orthogonal Decomposition Algorithm for Time Dependent Partial Differential Equations. - Xiaoying Dai; Xiong Kuang; Jack Xin; Aihui Zhou (CoRR, 2019)

Eigenfunction Behavior and Adaptive Finite Element Approximations of Nonlinear Eigenvalue Problems in Quantum Physics. - Bin Yang; Aihui Zhou (CoRR, 2019)

Gradient Flow Based Discretized Kohn-Sham Density Functional Theory. - Xiaoying Dai; Qiao Wang; Aihui Zhou (CoRR, 2019)

Plane wave methods for quantum eigenvalue problems of incommensurate systems. - Yuzhi Zhou; Huajie Chen; Aihui Zhou (J. Comput. Phys., 2019)

S3ML: A Secure Serving System for Machine Learning Inference. - Junming Ma; Chaofan Yu; Aihui Zhou; Bingzhe Wu; Xibin Wu; Xingyu Chen; Xiangqun Chen; Lei Wang 152; Donggang Cao (CoRR, 2020)

Two-Grid Based Adaptive Proper Orthogonal Decomposition Method for Time Dependent Partial Differential Equations. - Xiaoying Dai; Xiong Kuang; Jack Xin; Aihui Zhou (J. Sci. Comput., 2020)

Gradient Flow Based Kohn-Sham Density Functional Theory Model. - Xiaoying Dai; Qiao Wang; Aihui Zhou (Multiscale Model. Simul., 2020)

Convergence and Optimal Complexity of the Adaptive Planewave Method for Eigenvalue Computations. - Xiaoying Dai; Yan Pan; Bin Yang; Aihui Zhou (CoRR, 2021)

Convergent and orthogonality preserving schemes for approximating the Kohn-Sham orbitals. - Xiaoying Dai; Liwei Zhang; Aihui Zhou (CoRR, 2021)

A parallel orbital-updating based optimization method for electronic structure calculations. - Xiaoying Dai; Zhuang Liu; Xin Zhang; Aihui Zhou (J. Comput. Phys., 2021)

Mathematical Analysis and Numerical Approximations of Density Functional Theory Models for Metallic Systems. - Xiaoying Dai; Stefano de Gironcoli; Bin Yang; Aihui Zhou (Multiscale Model. Simul., 2023)

A Fast, Performant, Secure Distributed Training Framework For LLM. - Wei Huang 039; Yinggui Wang; Anda Cheng; Aihui Zhou; Chaofan Yu; Lei Wang (ICASSP, 2024)

A Fast, Performant, Secure Distributed Training Framework For Large Language Model. - Wei Huang 039; Yinggui Wang; Anda Cheng; Aihui Zhou; Chaofan Yu; Lei Wang (CoRR, 2024)

An augmented subspace based adaptive proper orthogonal decomposition method for time dependent partial differential equations. - Xiaoying Dai; Miao Hu; Jack Xin; Aihui Zhou (J. Comput. Phys., 2024)

Symmetrized Two-Scale Finite Element Discretizations for Partial Differential Equations with Symmetric Solutions. - Pengyu Hou; Fang Liu; Aihui Zhou (Comput. Methods Appl. Math., 2024)

Convergence of the Planewave Approximations for Quantum Incommensurate Systems. - Ting Wang; Huajie Chen; Aihui Zhou; Yuzhi Zhou; Daniel Massatt (Multiscale Model. Simul., 2025)

Numerical Analysis of the Parallel Orbital-Updating Approach for Eigenvalue Problems. - Xiaoying Dai; Yan Li; Bin Yang; Aihui Zhou (SIAM J. Numer. Anal., 2025)

A quasi-Grassmannian gradient flow model for eigenvalue problems. - Shengyue Wang; Aihui Zhou (CoRR, 2025)