119 citations · 773 across the 45 of their papers we have counts for
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A model-free shrinking-dimer saddle dynamics for finding saddle point and solution landscape
Lei Zhang, Pingwen Zhang, Xiangcheng Zheng
We propose a model-free shrinking-dimer saddle dynamics for finding any-index saddle points and constructing the solution landscapes, in which the force in the standard saddle dyna…
Numerical Methods and Analysis of Computing Quasiperiodic Systems
Kai Jiang, ShiFeng Li, Pingwen Zhang
Quasiperiodic systems are important space-filling ordered structures, without decay and translational invariance. How to solve quasiperiodic systems accurately and efficiently is o…
Mathematical and numerical analysis to shrinking-dimer saddle dynamics with local Lipschitz conditions
Lei Zhang, Pingwen Zhang, Xiangcheng Zheng
We present a mathematical and numerical investigation to the shrinkingdimer saddle dynamics for finding any-index saddle points in the solution landscape. Due to the dimer approxim…
Discretization and index-robust error analysis for constrained high-index saddle dynamics on high-dimensional sphere
Lei Zhang, Pingwen Zhang, Xiangcheng Zheng
We develop and analyze numerical discretization to the constrained high-index saddle dynamics, the dynamics searching for the high-index saddle points confined on the high-dimensio…