Selected publishcations:
1. Xiaoying Dai, Zhuang Liu, Xin Zhang, and Aihui Zhou, A parallel orbital-updating based optimization method for electronic structure calculations, Journal of Computational Physics, 445, p. 110622, 2021.
2. Xiaoying Dai, Qiao Wang, and Aihui Zhou, Gradient flow based Kohn-Sham density functional theory model, Multiscale Modeling and Simulation, 18(4): 1621-1663, 2020.
3. 戴小英,电子结构计算的数值方法与理论, 计算数学, 第42卷, 青年评述, 131-158,2020年.
4. Yan Pan, Xiaoying Dai, Stefano de Gironcoli, Xin-Gao Gong, Gian-Marco Rignanese, and Aihui Zhou, A parallel Orbital-Updating Based Plane-Wave Basis Method for Electronic Structure Calculations, Journal of Computational Physics, 348: 482-492, 2017.
5. Xiaoying Dai, Zhuang Liu, Liwei Zhang, and Aihui Zhou, A Conjugate Gradient Method for Electronic Structure Calculations, SIAM Journal on Scientific Computing, 39: PA2702-A2740, 2017.
6. 戴小英,周爱辉,第一原理实空间并行自适应计算程序设计原理,中国科学:信息科学, 第46 卷,1421-1441,2016.
7. Xiaoying Dai, Lianhua He, and Aihui Zhou, Convergence and Quasi-Optimal Complexity of Adaptive Finite element Computations for Multiple Eigenvalues, IMA Journal on Numerical Analysis, Vol.35, 1934-1977, 2015.
8. 戴小英,周爱辉,电子结构计算的有限元方法,中国科学:化学,第45 卷, 800-811, 2015.
9. Huajie Chen, Xiaoying Dai, Xingao Gong, Lianhua He, and Aihui Zhou, Adaptive Finite Element Approximations for Kohn-Sham Models, Multiscale Modeling and Simuation, Vol.12, 1828-1869, 2014.
10. Xiaoying Dai and Yvon Maday, Stable Parareal in Time Method for First and Second Order Hyperbolic System, SIAM Journal on Scientific Computing, Vol.35, A52-A78, 2013.
11. Xiaoying Dai, Claude Le Bris, Frederic Legoll, and Yvon Maday, Symmetric Parareal Algorithms for Hamiltonian System, ESIAM: Mathematical Modelling and Numerical Analysis, Vol.47, 717-742, 2013.
12. Xiaoying Dai, Xingao Gong, Zhang Yang, Dier Zhang, and Aihui Zhou, Finite Volume Discretizations for Eigenvalue Problems with Applications to Electronic Structure Calculations, Multiscale Modeling and Simulation,Vol. 9, 208-240, 2011.
13. Xiaoying Dai, Jinchao Xu, and Aihui Zhou, Convergence and Optimal Complexity of Adaptive Finite Element Eigenvalue Computations, Numerische Mathematik, Vol. 110, 313-355, 2008.
14. Xiaoying Dai and Aihui Zhou, Three-scale Finite Element Discretizations for Quantum Eigenvalue Problems, SIAM Journal on Numerical Analysis, Vol. 46, 295-324, 2008.