8 citations · 17 across the 3 of their papers we have counts for
3 papers
math.NA2023★ 3 cited
Convergence analysis of a spectral-Galerkin-type search extension method for finding multiple solutions to semilinear problems
Wei Liu, Ziqing Xie, Yongjun Yuan
In this paper, we develop an efficient spectral-Galerkin-type search extension method (SGSEM) for finding multiple solutions to semilinear elliptic boundary value problems. This me…
math.NA2022★ 8 cited
A constrained gentlest ascent dynamics and its applications to finding excited states of Bose-Einstein condensates
Wei Liu, Ziqing Xie, Yongjun Yuan
In this paper, the gentlest ascent dynamics (GAD) developed in [W. E and X. Zhou, Nonlinearity, 24 (2011), pp. 1831--1842] is extended to a constrained gentlest ascent dynamics (CG…
math.NA2022★ 6 cited
Computing the action ground state for the rotating nonlinear Schrödinger equation
Wei Liu, Yongjun Yuan, Xiaofei Zhao
We consider the computations of the action ground state for a rotating nonlinear Schrödinger equation. It reads as a minimization of the action functional under the Nehari constrai…