Aihui Zhou

Publication Activity (10 Years)

Years Active: 1998-2024
Publications (10 Years): 21

Top Topics

Recent Developments

Partial Differential Equations

Decomposition Method

Top Venues

J. Comput. Phys.

Multiscale Model. Simul.

SIAM J. Sci. Comput.

Publications

Wei Huang, Yinggui Wang, Anda Cheng, Aihui Zhou, Chaofan Yu, Lei Wang
A Fast, Performant, Secure Distributed Training Framework For LLM. ICASSP (2024)
Xiaoying Dai, Miao Hu, Jack Xin, Aihui Zhou
An augmented subspace based adaptive proper orthogonal decomposition method for time dependent partial differential equations. J. Comput. Phys. 514 (2024)
Wei Huang, Yinggui Wang, Anda Cheng, Aihui Zhou, Chaofan Yu, Lei Wang
A Fast, Performant, Secure Distributed Training Framework For Large Language Model. CoRR (2024)
Xiaoying Dai, Stefano de Gironcoli, Bin Yang, Aihui Zhou
Mathematical Analysis and Numerical Approximations of Density Functional Theory Models for Metallic Systems. Multiscale Model. Simul. 21 (3) (2023)
Xiaoying Dai, Miao Hu, Jack Xin, Aihui Zhou
An Augmented Subspace Based Adaptive Proper Orthogonal Decomposition Method for Time Dependent Partial Differential Equations. CoRR (2023)
Pengyu Hou, Fang Liu, Aihui Zhou
Symmetrized two-scale finite element discretizations for partial differential equations with symmetric solutions. CoRR (2022)
Xiaoying Dai, Stefano de Gironcoli, Bin Yang, Aihui Zhou
Mathematical Analysis and Numerical Approximations of Density Functional Theory Models for Metallic Systems. CoRR (2022)
Ting Wang, Huajie Chen, Aihui Zhou, Yuzhi Zhou, Daniel Massatt
Convergence of the Planewave Approximations for Quantum Incommensurate Systems. CoRR (2022)
Xiaoying Dai, Liwei Zhang, Aihui Zhou
Convergent and orthogonality preserving schemes for approximating the Kohn-Sham orbitals. CoRR (2021)
Xiaoying Dai, Zhuang Liu, Xin Zhang, Aihui Zhou
A parallel orbital-updating based optimization method for electronic structure calculations. J. Comput. Phys. 445 (2021)
Xiaoying Dai, Yan Pan, Bin Yang, Aihui Zhou
Convergence and Optimal Complexity of the Adaptive Planewave Method for Eigenvalue Computations. CoRR (2021)
Xiaoying Dai, Xiong Kuang, Jack Xin, Aihui Zhou
Two-Grid Based Adaptive Proper Orthogonal Decomposition Method for Time Dependent Partial Differential Equations. J. Sci. Comput. 84 (3) (2020)
Junming Ma, Chaofan Yu, Aihui Zhou, Bingzhe Wu, Xibin Wu, Xingyu Chen, Xiangqun Chen, Lei Wang, Donggang Cao
S3ML: A Secure Serving System for Machine Learning Inference. CoRR (2020)
Xiaoying Dai, Qiao Wang, Aihui Zhou
Gradient Flow Based Kohn-Sham Density Functional Theory Model. Multiscale Model. Simul. 18 (4) (2020)
Bin Yang, Aihui Zhou
Eigenfunction Behavior and Adaptive Finite Element Approximations of Nonlinear Eigenvalue Problems in Quantum Physics. CoRR (2019)
Xiaoying Dai, Qiao Wang, Aihui Zhou
Gradient Flow Based Discretized Kohn-Sham Density Functional Theory. CoRR (2019)
Xiaoying Dai, Xiong Kuang, Jack Xin, Aihui Zhou
Two-Grid based Adaptive Proper Orthogonal Decomposition Algorithm for Time Dependent Partial Differential Equations. CoRR (2019)
Yuzhi Zhou, Huajie Chen, Aihui Zhou
Plane wave methods for quantum eigenvalue problems of incommensurate systems. J. Comput. Phys. 384 (2019)
Yan Pan, Xiaoying Dai, Stefano de Gironcoli, Xingao Gong, Gian-Marco Rignanese, Aihui Zhou
A parallel orbital-updating based plane-wave basis method for electronic structure calculations. J. Comput. Phys. 348 (2017)
Xiaoying Dai, Zhuang Liu, Liwei Zhang, Aihui Zhou
A Conjugate Gradient Method for Electronic Structure Calculations. SIAM J. Sci. Comput. 39 (6) (2017)
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
Recent developments in the ABINIT software package. Comput. Phys. Commun. 205 (2016)
Xin Zhang, Jinwei Zhu, Zaiwen Wen, Aihui Zhou
Gradient Type Optimization Methods For Electronic Structure Calculations. SIAM J. Sci. Comput. 36 (3) (2014)
Huajie Chen, Xiaoying Dai, Xingao Gong, Lianhua He, Aihui Zhou
Adaptive Finite Element Approximations for Kohn-Sham Models. Multiscale Model. Simul. 12 (4) (2014)
Huajie Chen, Xingao Gong, Lianhua He, Zhang Yang, Aihui Zhou
Numerical analysis of finite dimensional approximations of Kohn-Sham models. Adv. Comput. Math. 38 (2) (2013)
Lihua Shen, Jack Xin, Aihui Zhou
Finite Element Computation of KPP Front Speeds in Cellular and Cat's Eye Flows. J. Sci. Comput. 55 (2) (2013)
Jun Fang, Xingyu Gao, Aihui Zhou
A Finite Element Recovery Approach to Eigenvalue Approximations with Applications to Electronic Structure Calculations. J. Sci. Comput. 55 (2) (2013)
Jun Fang, Xingyu Gao, Aihui Zhou
A Symmetry-Based Decomposition Approach to Eigenvalue Problems. J. Sci. Comput. 57 (3) (2013)
Jun Fang, Xingyu Gao, Aihui Zhou
A Kohn-Sham equation solver based on hexahedral finite elements. J. Comput. Phys. 231 (8) (2012)
Fang Liu, Martin Stynes, Aihui Zhou
Postprocessed Two-Scale Finite Element Discretizations, Part I. SIAM J. Numer. Anal. 49 (5) (2011)
Xiaoying Dai, Xingao Gong, Zhang Yang, Dier Zhang, Aihui Zhou
Finite Volume Discretizations for Eigenvalue Problems with Applications to Electronic Structure Calculations. Multiscale Model. Simul. 9 (1) (2011)
Ying Yang, Aihui Zhou
Two-scale finite element Green's function approximations with applications to electrostatic potential computation. J. Syst. Sci. Complex. 23 (1) (2010)
Jiu Ding, Aihui Zhou
A spectrum theorem for perturbed bounded linear operators. Appl. Math. Comput. 201 (1-2) (2008)
Xiaoying Dai, Jinchao Xu, Aihui Zhou
Convergence and optimal complexity of adaptive finite element eigenvalue computations. Numerische Mathematik 110 (3) (2008)
Jiu Ding, Aihui Zhou
Characteristic polynomials of some perturbed matrices. Appl. Math. Comput. 199 (2) (2008)
Lihua Shen, Jack Xin, Aihui Zhou
Finite Element Computations of Kolmogorov-Petrovsky-Piskunov Front Speeds in Random Shear Flows in Cylinders. Multiscale Model. Simul. 7 (3) (2008)
Yinnian He, Jinchao Xu, Aihui Zhou, Jian Li
Local and parallel finite element algorithms for the stokes problem. Numerische Mathematik 109 (3) (2008)
Fang Liu, Aihui Zhou
Two-Scale Boolean Galerkin Discretizations for Fredholm Integral Equations of the Second Kind. SIAM J. Numer. Anal. 45 (1) (2007)
Jiu Ding, Aihui Zhou
Eigenvalues of rank-one updated matrices with some applications. Appl. Math. Lett. 20 (12) (2007)
Xiaoying Dai, Aihui Zhou
Three-Scale Finite Element Discretizations for Quantum Eigenvalue Problems. SIAM J. Numer. Anal. 46 (1) (2007)
Reinhold Schneider, Yuesheng Xu, Aihui Zhou
An analysis of discontinuous Galerkin methods for elliptic problems. Adv. Comput. Math. 25 (1-3) (2006)
Lihua Shen, Aihui Zhou
A Defect Correction Scheme for Finite Element Eigenvalues with Applications to Quantum Chemistry. SIAM J. Sci. Comput. 28 (1) (2006)
Dong Mao, Lihua Shen, Aihui Zhou
Adaptive finite element algorithms for eigenvalue problems based on local averaging type a posteriori error estimates. Adv. Comput. Math. 25 (1-3) (2006)
Ahmed Naga, Zhimin Zhang, Aihui Zhou
Enhancing Eigenvalue Approximation by Gradient Recovery. SIAM J. Sci. Comput. 28 (4) (2006)
Xiuling Ma, Dong Mao, Aihui Zhou
Extrapolation for Finite Volume Approximations. SIAM J. Sci. Comput. 24 (6) (2003)
Jiu Ding, Dong Mao, Aihui Zhou
A Quasi Monte Carlo Approach to Piecewise Linear Markov Approximations of Markov Operators. Monte Carlo Methods Appl. 9 (4) (2003)
Zhongying Chen, Ronghua Li, Aihui Zhou
-Estimate of the Finite Volume Element Method. Adv. Comput. Math. 16 (4) (2002)
Aihui Zhou
An Analysis of Some High Accuracy Finite Element Methods for Hyperbolic Problems. SIAM J. Numer. Anal. 39 (3) (2001)
Jinchao Xu, Aihui Zhou
A two-grid discretization scheme for eigenvalue problems. Math. Comput. 70 (233) (2001)
Jinchao Xu, Aihui Zhou
Local and Parallel Finite Element Algorithms Based on Two-Grid Discretizations for Nonlinear Problems. Adv. Comput. Math. 14 (4) (2001)
Qun Lin, Ningning Yan, Aihui Zhou
A sparse finite element method with high accuracy Part I. Numerische Mathematik 88 (4) (2001)
Jinchao Xu, Aihui Zhou
Local and parallel finite element algorithms based on two-grid discretizations. Math. Comput. 69 (231) (2000)
Walter Allegretto, Yanping Lin, Aihui Zhou
Numerical analysis for systems with memory arising from semiconductor simulations. Appl. Math. Comput. 105 (2-3) (1999)
Christoph Pflaum, Aihui Zhou
Error analysis of the combination technique. Numerische Mathematik 84 (2) (1999)
Jiu Ding, Aihui Zhou
A finite element method for the Frobenius-Perron operator equation. Appl. Math. Comput. 102 (2-3) (1999)
Ulrich Rüde, Aihui Zhou
Multi-parameter extrapolation methods for boundary integral equations. Adv. Comput. Math. 9 (1-2) (1998)