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

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

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)

Stable Parareal in Time Method for First- and Second-Order Hyperbolic Systems. - Xiaoying Dai; Yvon Maday (SIAM 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)

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)

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

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)

Subspace method based on neural networks for eigenvalue problems. - Xiaoying Dai; Yunying Fan; Zhiqiang Sheng (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)

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