Normalized Gradient Flow with Lagrange Multiplier for Computing Ground States of Bose--Einstein Condensates W Liu, Y Cai SIAM Journal on Scientific Computing 43 (1), B219-B242, 2021 | 20 | 2021 |
Second-order flows for computing the ground states of rotating Bose-Einstein condensates H Chen, G Dong, W Liu, Z Xie Journal of Computational Physics 475, 111872, 2023 | 16 | 2023 |
A constrained gentlest ascent dynamics and its applications to finding excited states of Bose–Einstein condensates W Liu, Z Xie, Y Yuan Journal of Computational Physics 473, 111719, 2023 | 6 | 2023 |
Efficient and accurate gradient flow methods for computing ground states of spinor Bose-Einstein condensates Y Cai, W Liu Journal of Computational Physics 433, 110183, 2021 | 5 | 2021 |
Normalized Goldstein-type local minimax method for finding multiple unstable solutions of semilinear elliptic PDEs W Liu, Z Xie, W Yi Communications in Mathematical Sciences 19 (1), 147-174, 2021 | 5 | 2021 |
Normalized Wolfe-Powell-type local minimax method for finding multiple unstable solutions of nonlinear elliptic PDEs W Liu, Z Xie, W Yi Science China Mathematics 66 (10), 2361-2384, 2023 | 4 | 2023 |
Convergence analysis of a spectral-Galerkin-type search extension method for finding multiple solutions of semilinear problems W Liu, Z Xie, Y Yuan SCIENTIA SINICA Mathematica 51 (9), 1407-1431, 2020 | 4* | 2020 |
Computing the action ground state for the rotating nonlinear Schrödinger equation W Liu, Y Yuan, X Zhao SIAM Journal on Scientific Computing 45 (2), A397-A426, 2023 | 3 | 2023 |
Nonmonotone local minimax methods for finding multiple saddle points W Liu, Z Xie, W Yi Journal of Computational Mathematics 42 (3), 851--884, 2024 | 1 | 2024 |
Nehari manifold optimization and its application for finding unstable solutions of semilinear elliptic PDEs Z Chen, W Liu, Z Xie, W Yi arXiv preprint arXiv:2404.09892, 2024 | | 2024 |
Second-order flows for approaching stationary points of a class of non-convex energies via convex-splitting schemes H Chen, G Dong, JA Iglesias, W Liu, Z Xie arXiv preprint arXiv:2402.12173, 2024 | | 2024 |
On action ground states of defocusing nonlinear Schr\" odinger equations W Liu, C Wang, X Zhao arXiv preprint arXiv:2311.02890, 2023 | | 2023 |