Aihui Zhou

According to our database, Aihui Zhou authored at least 54 papers between 1998 and 2024.

Collaborative distances:

• Dijkstra number of four.
• Erdős number of four.

2024

Symmetrized Two-Scale Finite Element Discretizations for Partial Differential Equations with Symmetric Solutions.

Pengyu Hou, Fang Liu, Aihui Zhou

Comput. Methods Appl. Math., October, 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

Numerical Analysis of the Parallel Orbital-Updating Approach for Eigenvalue Problems.

Xiaoying Dai, Yan Li, Bin Yang, Aihui Zhou

CoRR, 2024

A Fast, Performant, Secure Distributed Training Framework For Large Language Model.

Wei Huang, Yinggui Wang, Anda Cheng, Aihui Zhou, Chaofan Yu, Lei Wang

CoRR, 2024

A Fast, Performant, Secure Distributed Training Framework For LLM.

Wei Huang, Yinggui Wang, Anda Cheng, Aihui Zhou, Chaofan Yu, Lei Wang

Proceedings of the IEEE International Conference on Acoustics, 2024

2023

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., September, 2023

2022

Convergence of the Planewave Approximations for Quantum Incommensurate Systems.

Ting Wang, Huajie Chen, Aihui Zhou, Yuzhi Zhou, Daniel Massatt

CoRR, 2022

2021

A parallel orbital-updating based optimization method for electronic structure calculations.

Xiaoying Dai, Zhuang Liu, Xin Zhang, Aihui Zhou

J. Comput. Phys., 2021

Convergent and orthogonality preserving schemes for approximating the Kohn-Sham orbitals.

Xiaoying Dai, Liwei Zhang, Aihui Zhou

CoRR, 2021

Convergence and Optimal Complexity of the Adaptive Planewave Method for Eigenvalue Computations.

Xiaoying Dai, Yan Pan, Bin Yang, Aihui Zhou

CoRR, 2021

2020

Gradient Flow Based Kohn-Sham Density Functional Theory Model.

Xiaoying Dai, Qiao Wang, Aihui Zhou

Multiscale Model. Simul., 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

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, Donggang Cao

CoRR, 2020

2019

Plane wave methods for quantum eigenvalue problems of incommensurate systems.

Yuzhi Zhou, Huajie Chen, Aihui Zhou

J. Comput. Phys., 2019

Gradient Flow Based Discretized Kohn-Sham Density Functional Theory.

Xiaoying Dai, Qiao Wang, Aihui Zhou

CoRR, 2019

Eigenfunction Behavior and Adaptive Finite Element Approximations of Nonlinear Eigenvalue Problems in Quantum Physics.

Bin Yang, Aihui Zhou

CoRR, 2019

Two-Grid based Adaptive Proper Orthogonal Decomposition Algorithm for Time Dependent Partial Differential Equations.

Xiaoying Dai, Xiong Kuang, Jack Xin, Aihui Zhou

CoRR, 2019

2017

A Conjugate Gradient Method for Electronic Structure Calculations.

Xiaoying Dai, Zhuang Liu, Liwei Zhang, Aihui Zhou

SIAM J. Sci. Comput., 2017

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

2016

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, Damien Caliste, Michel Côté, Florent Dahm, Fabiana Da Pieve, Muriel Delaveau, M. Di Gennaro, Boris Dorado, Camilo Espejo, Grégory Geneste, Luigi Genovese, Alexis Gerossier, Matteo Giantomassi, Yannick Gillet, Don R. Hamann, Lianhua He, Gerald Jomard, Jonathan Laflamme Janssen, Stéphane Le Roux, Antoine Levitt, Aurelien Lherbier, Fang Liu, Igor Lukacevic, Alexandre Martin, Cyril Martins, Micael J. T. Oliveira, Samuel Poncé, Yann Pouillon, Tonatiuh Rangel, Gian-Marco Rignanese, Aldo H. Romero, B. Rousseau, Oleg Rubel, Abdullah A. Shukri, Martin Stankovski, Marc Torrent, Michiel J. van Setten, B. Van Troeye, Matthieu J. Verstraete, David Waroquiers, Julie Wiktor, Bin Xu, Aihui Zhou, Joe W. Zwanziger

Comput. Phys. Commun., 2016

2014

Gradient Type Optimization Methods For Electronic Structure Calculations.

Xin Zhang, Jinwei Zhu, Zaiwen Wen, Aihui Zhou

SIAM J. Sci. Comput., 2014

Adaptive Finite Element Approximations for Kohn-Sham Models.

Huajie Chen, Xiaoying Dai, Xingao Gong, Lianhua He, Aihui Zhou

Multiscale Model. Simul., 2014

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

A Symmetry-Based Decomposition Approach to Eigenvalue Problems.

Jun Fang, Xingyu Gao, Aihui Zhou

J. Sci. Comput., 2013

A Finite Element Recovery Approach to Eigenvalue Approximations with Applications to Electronic Structure Calculations.

Jun Fang, Xingyu Gao, Aihui Zhou

J. Sci. Comput., 2013

Numerical analysis of finite dimensional approximations of Kohn-Sham models.

Huajie Chen, Xingao Gong, Lianhua He, Zhang Yang, Aihui Zhou

Adv. Comput. Math., 2013

2012

A Kohn-Sham equation solver based on hexahedral finite elements.

Jun Fang, Xingyu Gao, Aihui Zhou

J. Comput. Phys., 2012

2011

Postprocessed Two-Scale Finite Element Discretizations, Part I.

Fang Liu, Martin Stynes, Aihui Zhou

SIAM J. Numer. Anal., 2011

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

2010

Two-scale finite element Green's function approximations with applications to electrostatic potential computation.

Ying Yang, Aihui Zhou

J. Syst. Sci. Complex., 2010

2008

Local and parallel finite element algorithms for the stokes problem.

Yinnian He, Jinchao Xu, Aihui Zhou, Jian Li

Numerische Mathematik, 2008

Convergence and optimal complexity of adaptive finite element eigenvalue computations.

Xiaoying Dai, Jinchao Xu, Aihui Zhou

Numerische Mathematik, 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

A spectrum theorem for perturbed bounded linear operators.

Jiu Ding, Aihui Zhou

Appl. Math. Comput., 2008

Characteristic polynomials of some perturbed matrices.

Jiu Ding, Aihui Zhou

Appl. Math. Comput., 2008

2007

Two-Scale Boolean Galerkin Discretizations for Fredholm Integral Equations of the Second Kind.

Fang Liu, Aihui Zhou

SIAM J. Numer. Anal., 2007

Three-Scale Finite Element Discretizations for Quantum Eigenvalue Problems.

Xiaoying Dai, Aihui Zhou

SIAM J. Numer. Anal., 2007

Eigenvalues of rank-one updated matrices with some applications.

Jiu Ding, Aihui Zhou

Appl. Math. Lett., 2007

2006

A Defect Correction Scheme for Finite Element Eigenvalues with Applications to Quantum Chemistry.

Lihua Shen, Aihui Zhou

SIAM J. Sci. Comput., 2006

Enhancing Eigenvalue Approximation by Gradient Recovery.

Ahmed Naga, Zhimin Zhang, Aihui Zhou

SIAM J. Sci. Comput., 2006

An analysis of discontinuous Galerkin methods for elliptic problems.

Reinhold Schneider, Yuesheng Xu, Aihui Zhou

Adv. Comput. Math., 2006

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

2003

Extrapolation for Finite Volume Approximations.

Xiuling Ma, Dong Mao, Aihui Zhou

SIAM J. Sci. Comput., 2003

A Quasi Monte Carlo Approach to Piecewise Linear Markov Approximations of Markov Operators.

Jiu Ding, Dong Mao, Aihui Zhou

Monte Carlo Methods Appl., 2003

2002

A Note on the Optimal <i>L</i>²-Estimate of the Finite Volume Element Method.

Zhongying Chen, Ronghua Li, Aihui Zhou

Adv. Comput. Math., 2002

2001

An Analysis of Some High Accuracy Finite Element Methods for Hyperbolic Problems.

Aihui Zhou

SIAM J. Numer. Anal., 2001

A sparse finite element method with high accuracy Part I.

Qun Lin, Ningning Yan, Aihui Zhou

Numerische Mathematik, 2001

A two-grid discretization scheme for eigenvalue problems.

Jinchao Xu, Aihui Zhou

Math. Comput., 2001

Local and Parallel Finite Element Algorithms Based on Two-Grid Discretizations for Nonlinear Problems.

Jinchao Xu, Aihui Zhou

Adv. Comput. Math., 2001

2000

Local and parallel finite element algorithms based on two-grid discretizations.

Jinchao Xu, Aihui Zhou

Math. Comput., 2000

1999

Error analysis of the combination technique.

Christoph Pflaum, Aihui Zhou

Numerische Mathematik, 1999

A finite element method for the Frobenius-Perron operator equation.

Jiu Ding, Aihui Zhou

Appl. Math. Comput., 1999

Numerical analysis for systems with memory arising from semiconductor simulations.

Walter Allegretto, Yanping Lin, Aihui Zhou

Appl. Math. Comput., 1999

1998

Multi-parameter extrapolation methods for boundary integral equations.

Ulrich Rüde, Aihui Zhou

Adv. Comput. Math., 1998