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08/12/2023
Convergence analysis of a spectral-Galerkin-type search extension method for finding multiple solutions to semilinear problems
In this paper, we develop an efficient spectral-Galerkin-type search ext...
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09/10/2022
A constrained gentlest ascent dynamics and its applications to find excited states of Bose-Einstein condensates
In this paper, the gentlest ascent dynamics (GAD) developed in [W. E and...
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05/02/2022
Second-order flows for computing the ground states of rotating Bose-Einstein condensates
Second-order flows in this paper refer to some artificial evolutionary d...
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09/04/2021
Nonmonotone Local Minimax Methods for Finding Multiple Saddle Points
In this paper, combining normalized nonmonotone search strategies with t...
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08/11/2021
Normalized Wolfe-Powell-type Local Minimax Method for Finding Multiple Unstable Solutions of Nonlinear Elliptic PDEs
The local minimax method (LMM) proposed in [Y. Li and J. Zhou, SIAM J. S...
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08/28/2019