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Aihui Zhou
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2020 – today
- 2024
- [j44]Pengyu Hou, Fang Liu, Aihui Zhou:
Symmetrized Two-Scale Finite Element Discretizations for Partial Differential Equations with Symmetric Solutions. Comput. Methods Appl. Math. 24(4): 887-908 (2024) - [j43]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: 113231 (2024) - [c1]Wei Huang, Yinggui Wang, Anda Cheng, Aihui Zhou, Chaofan Yu, Lei Wang:
A Fast, Performant, Secure Distributed Training Framework For LLM. ICASSP 2024: 4800-4804 - [i12]Wei Huang, Yinggui Wang, Anda Cheng, Aihui Zhou, Chaofan Yu, Lei Wang:
A Fast, Performant, Secure Distributed Training Framework For Large Language Model. CoRR abs/2401.09796 (2024) - [i11]Xiaoying Dai, Yan Li, Bin Yang, Aihui Zhou:
Numerical Analysis of the Parallel Orbital-Updating Approach for Eigenvalue Problems. CoRR abs/2409.00767 (2024) - 2023
- [j42]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): 777-803 (2023) - [i10]Xiaoying Dai, Miao Hu, Jack Xin, Aihui Zhou:
An Augmented Subspace Based Adaptive Proper Orthogonal Decomposition Method for Time Dependent Partial Differential Equations. CoRR abs/2304.09007 (2023) - 2022
- [i9]Xiaoying Dai, Stefano de Gironcoli, Bin Yang, Aihui Zhou:
Mathematical Analysis and Numerical Approximations of Density Functional Theory Models for Metallic Systems. CoRR abs/2201.07035 (2022) - [i8]Ting Wang, Huajie Chen, Aihui Zhou, Yuzhi Zhou, Daniel Massatt:
Convergence of the Planewave Approximations for Quantum Incommensurate Systems. CoRR abs/2204.00994 (2022) - [i7]Pengyu Hou, Fang Liu, Aihui Zhou:
Symmetrized two-scale finite element discretizations for partial differential equations with symmetric solutions. CoRR abs/2205.15524 (2022) - 2021
- [j41]Xiaoying Dai, Zhuang Liu
, Xin Zhang, Aihui Zhou:
A parallel orbital-updating based optimization method for electronic structure calculations. J. Comput. Phys. 445: 110622 (2021) - [i6]Xiaoying Dai, Yan Pan, Bin Yang, Aihui Zhou:
Convergence and Optimal Complexity of the Adaptive Planewave Method for Eigenvalue Computations. CoRR abs/2106.01008 (2021) - [i5]Xiaoying Dai, Liwei Zhang, Aihui Zhou:
Convergent and orthogonality preserving schemes for approximating the Kohn-Sham orbitals. CoRR abs/2111.02779 (2021) - 2020
- [j40]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): 47 (2020) - [j39]Xiaoying Dai, Qiao Wang, Aihui Zhou:
Gradient Flow Based Kohn-Sham Density Functional Theory Model. Multiscale Model. Simul. 18(4): 1621-1663 (2020) - [i4]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 abs/2010.06212 (2020)
2010 – 2019
- 2019
- [j38]Yuzhi Zhou
Plane wave methods for quantum eigenvalue problems of incommensurate systems. J. Comput. Phys. 384: 99-113 (2019) - [i3]Xiaoying Dai, Xiong Kuang, Jack Xin, Aihui Zhou:
Two-Grid based Adaptive Proper Orthogonal Decomposition Algorithm for Time Dependent Partial Differential Equations. CoRR abs/1906.09736 (2019) - [i2]Bin Yang, Aihui Zhou:
Eigenfunction Behavior and Adaptive Finite Element Approximations of Nonlinear Eigenvalue Problems in Quantum Physics. CoRR abs/1907.03968 (2019) - [i1]Xiaoying Dai, Qiao Wang, Aihui Zhou:
Gradient Flow Based Discretized Kohn-Sham Density Functional Theory. CoRR abs/1907.06321 (2019) - 2017
- [j37]Yan Pan, Xiaoying Dai, Stefano de Gironcoli
A parallel orbital-updating based plane-wave basis method for electronic structure calculations. J. Comput. Phys. 348: 482-492 (2017) - [j36]Xiaoying Dai, Zhuang Liu
A Conjugate Gradient Method for Electronic Structure Calculations. SIAM J. Sci. Comput. 39(6) (2017) - 2016
- [j35]Xavier Gonze, François Jollet, Flavio Abreu Araujo
Recent developments in the ABINIT software package. Comput. Phys. Commun. 205: 106-131 (2016) - 2014
- [j34]Huajie Chen, Xiaoying Dai, Xingao Gong, Lianhua He, Aihui Zhou:
Adaptive Finite Element Approximations for Kohn-Sham Models. Multiscale Model. Simul. 12(4): 1828-1869 (2014) - [j33]Xin Zhang, Jinwei Zhu, Zaiwen Wen, Aihui Zhou:
Gradient Type Optimization Methods For Electronic Structure Calculations. SIAM J. Sci. Comput. 36(3) (2014) - 2013
- [j32]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): 225-256 (2013) - [j31]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): 432-454 (2013) - [j30]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): 455-470 (2013) - [j29]Jun Fang, Xingyu Gao, Aihui Zhou:
A Symmetry-Based Decomposition Approach to Eigenvalue Problems. J. Sci. Comput. 57(3): 638-669 (2013) - 2012
- [j28]Jun Fang, Xingyu Gao, Aihui Zhou:
A Kohn-Sham equation solver based on hexahedral finite elements. J. Comput. Phys. 231(8): 3166-3180 (2012) - 2011
- [j27]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): 208-240 (2011) - [j26]Fang Liu, Martin Stynes
Postprocessed Two-Scale Finite Element Discretizations, Part I. SIAM J. Numer. Anal. 49(5): 1947-1971 (2011) - 2010
- [j25]Ying Yang, Aihui Zhou:
Two-scale finite element Green's function approximations with applications to electrostatic potential computation. J. Syst. Sci. Complex. 23(1): 177-193 (2010)
2000 – 2009
- 2008
- [j24]Jiu Ding
Characteristic polynomials of some perturbed matrices. Appl. Math. Comput. 199(2): 631-636 (2008) - [j23]Jiu Ding
A spectrum theorem for perturbed bounded linear operators. Appl. Math. Comput. 201(1-2): 723-728 (2008) - [j22]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): 1029-1041 (2008) - [j21]Yinnian He, Jinchao Xu, Aihui Zhou, Jian Li:
Local and parallel finite element algorithms for the stokes problem. Numerische Mathematik 109(3): 415-434 (2008) - [j20]Xiaoying Dai, Jinchao Xu, Aihui Zhou:
Convergence and optimal complexity of adaptive finite element eigenvalue computations. Numerische Mathematik 110(3): 313-355 (2008) - 2007
- [j19]Jiu Ding
Eigenvalues of rank-one updated matrices with some applications. Appl. Math. Lett. 20(12): 1223-1226 (2007) - [j18]Fang Liu, Aihui Zhou:
Two-Scale Boolean Galerkin Discretizations for Fredholm Integral Equations of the Second Kind. SIAM J. Numer. Anal. 45(1): 296-312 (2007) - [j17]Xiaoying Dai, Aihui Zhou:
Three-Scale Finite Element Discretizations for Quantum Eigenvalue Problems. SIAM J. Numer. Anal. 46(1): 295-324 (2007) - 2006
- [j16]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): 135-160 (2006) - [j15]Reinhold Schneider, Yuesheng Xu, Aihui Zhou:
An analysis of discontinuous Galerkin methods for elliptic problems. Adv. Comput. Math. 25(1-3): 259-286 (2006) - [j14]Lihua Shen, Aihui Zhou:
A Defect Correction Scheme for Finite Element Eigenvalues with Applications to Quantum Chemistry. SIAM J. Sci. Comput. 28(1): 321-338 (2006) - [j13]Ahmed Naga, Zhimin Zhang, Aihui Zhou:
Enhancing Eigenvalue Approximation by Gradient Recovery. SIAM J. Sci. Comput. 28(4): 1289-1300 (2006) - 2003
- [j12]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): 295-309 (2003) - [j11]Xiuling Ma, Dong Mao, Aihui Zhou:
Extrapolation for Finite Volume Approximations. SIAM J. Sci. Comput. 24(6): 1974-1993 (2003) - 2002
- [j10]Zhongying Chen, Ronghua Li, Aihui Zhou:
A Note on the Optimal L2-Estimate of the Finite Volume Element Method. Adv. Comput. Math. 16(4): 291-303 (2002) - 2001
- [j9]Jinchao Xu, Aihui Zhou:
Local and Parallel Finite Element Algorithms Based on Two-Grid Discretizations for Nonlinear Problems. Adv. Comput. Math. 14(4): 293-327 (2001) - [j8]Jinchao Xu, Aihui Zhou:
A two-grid discretization scheme for eigenvalue problems. Math. Comput. 70(233): 17-25 (2001) - [j7]Qun Lin, Ningning Yan, Aihui Zhou:
A sparse finite element method with high accuracy Part I. Numerische Mathematik 88(4): 731-742 (2001) - [j6]Aihui Zhou:
An Analysis of Some High Accuracy Finite Element Methods for Hyperbolic Problems. SIAM J. Numer. Anal. 39(3): 1014-1028 (2001) - 2000
- [j5]Jinchao Xu, Aihui Zhou:
Local and parallel finite element algorithms based on two-grid discretizations. Math. Comput. 69(231): 881-909 (2000)
1990 – 1999
- 1999
- [j4]Jiu Ding
A finite element method for the Frobenius-Perron operator equation. Appl. Math. Comput. 102(2-3): 155-164 (1999) - [j3]Walter Allegretto, Yanping Lin, Aihui Zhou:
Numerical analysis for systems with memory arising from semiconductor simulations. Appl. Math. Comput. 105(2-3): 101-119 (1999) - [j2]Christoph Pflaum
Error analysis of the combination technique. Numerische Mathematik 84(2): 327-350 (1999) - 1998
- [j1]Ulrich Rüde, Aihui Zhou:
Multi-parameter extrapolation methods for boundary integral equations. Adv. Comput. Math. 9(1-2): 173-190 (1998)
Coauthor Index
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