Computable Error Estimates for Ground State Solution of Bose-Einstein Condensates. - Hehu Xie; Manting Xie (J. Sci. Comput., 2019)

Adaptive time-stepping algorithms for molecular beam epitaxy: Based on energy or roughness. - Fusheng Luo; Hehu Xie; Manting Xie; Fei Xu 003 (Appl. Math. Lett., 2020)

A multilevel Newton's method for the Steklov eigenvalue problem. - Meiling Yue; Fei Xu 003; Manting Xie (Adv. Comput. Math., 2022)

Convergence and optimality of adaptive multigrid method for multiple eigenvalue problems. - Fei Xu 003; Manting Xie; Qiumei Huang; Meiling Yue; Hongkun Ma (J. Comput. Appl. Math., 2022)

A New Family of Mixed Method for the Biharmonic Eigenvalue Problem Based on the First Order Equations of Hellan-Herrmann-Johnson Type. - Yu Li; Manting Xie; Chunguang Xiong (J. Sci. Comput., 2022)

A Spectrally Accurate Numerical Method for Computing the Bogoliubov-de Gennes Excitations of Dipolar Bose-Einstein Condensates. - Qinglin Tang; Manting Xie; Yong Zhang 005; Yuqing Zhang (SIAM J. Sci. Comput., 2022)

An Efficient Adaptive Mesh Redistribution Method for Nonlinear Eigenvalue Problems in Bose-Einstein Condensates. - Hehu Xie; Manting Xie; Xiaobo Yin; Gang Zhao (J. Sci. Comput., 2023)

Multigrid Method for Nonlinear Eigenvalue Problems Based on Newton Iteration. - Fei Xu 003; Manting Xie; Meiling Yue (J. Sci. Comput., 2023)

A posteriori and superconvergence error analysis for finite element approximation of the Steklov eigenvalue problem. - Chunguang Xiong; Manting Xie; Fusheng Luo; Hongling Su (Comput. Math. Appl., 2023)

Local and parallel multigrid method for semilinear Neumann problem with nonlinear boundary condition. - Fei Xu 003; Bingyi Wang; Manting Xie (Numer. Algorithms, 2024)

A novel multilevel finite element method for a generalized nonlinear Schrödinger equation. - Fei Xu 003; Yasai Guo; Manting Xie (J. Comput. Appl. Math., 2025)

An efficient Fourier spectral algorithm for the Bogoliubov-de Gennes excitation eigenvalue problem. - Yu Li; Zhixuan Li; Manting Xie; Yong Zhang (CoRR, 2025)

Computing the Bogoliubov-de Gennes excitations of two-component Bose-Einstein condensates. - Manting Xie; Yong Zhang (CoRR, 2025)