Normalized Wolfe-Powell-type Local Minimax Method for Finding Multiple Unstable Solutions of Nonlinear Elliptic PDEs. - Wei Liu 136; Ziqing Xie; Wenfan Yi (CoRR, 2021)

Nonmonotone Local Minimax Methods for Finding Multiple Saddle Points. - Wei Liu 136; Ziqing Xie; Wenfan Yi (CoRR, 2021)

Efficient and accurate gradient flow methods for computing ground states of spinor Bose-Einstein condensates. - Yongyong Cai; Wei Liu 136 (J. Comput. Phys., 2021)

Normalized Gradient Flow with Lagrange Multiplier for Computing Ground States of Bose-Einstein Condensates. - Wei Liu 136; Yongyong Cai (SIAM J. Sci. Comput., 2021)

Convergence analysis of a spectral-Galerkin-type search extension method for finding multiple solutions to semilinear problems. - Wei Liu 136; Ziqing Xie; Yongjun Yuan (CoRR, 2023)

A constrained gentlest ascent dynamics and its applications to finding excited states of Bose-Einstein condensates. - Wei Liu 136; Ziqing Xie; Yongjun Yuan (J. Comput. Phys., 2023)

Second-order flows for computing the ground states of rotating Bose-Einstein condensates. - Haifan Chen; Guozhi Dong; Wei Liu 136; Ziqing Xie (J. Comput. Phys., 2023)

Computing the Action Ground State for the Rotating Nonlinear Schrödinger Equation. - Wei Liu 136; Yongjun Yuan; Xiaofei Zhao (SIAM J. Sci. Comput., 2023)

Second-order flows for approaching stationary points of a class of non-convex energies via convex-splitting schemes. - Haifan Chen; Guozhi Dong; José A. Iglesias 002; Wei Liu 136; Ziqing Xie (CoRR, 2024)

Computing defocusing action ground state of rotating nonlinear Schrödinger equation: methods via various formulations and comparison. - Wei Liu 136; Zhenye Wen; Yongjun Yuan; Xiaofei Zhao (J. Comput. Phys., 2025)

Second-Order Flows for Approaching Stationary Points of a Class of Nonconvex Energies via Convex-Splitting Schemes. - Haifan Chen; Guozhi Dong; José A. Iglesias 002; Wei Liu 136; Ziqing Xie (SIAM J. Sci. Comput., 2025)

Nehari Manifold Optimization and Its Application for Finding Unstable Solutions of Semilinear Elliptic PDEs. - Zhaoxing Chen; Wei Liu 136; Ziqing Xie; Wenfan Yi (SIAM J. Sci. Comput., 2025)