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math.NA2026
Subspace curvature-scaling high-index saddle dynamics for accelerating ill-conditioned saddle point searches
Jianyuan Yin, Lei Zhang, Zhiyi Zhang
We propose a subspace curvature-scaling high-index saddle dynamics (SCS-HiSD) method to accelerate high-index saddle dynamics (HiSD) for locating ill-conditioned saddle points. The…
math.NA2023
Error estimate for semi-implicit method of sphere-constrained high-index saddle dynamics
Lei Zhang, Pingwen Zhang, Xiangcheng Zheng
We prove error estimates for the semi-implicit numerical scheme of sphere-constrained high-index saddle dynamics, which serves as a powerful instrument in finding saddle points and…
math.NA2021★ 3 cited
Modeling and Computation of Liquid Crystals
Wei Wang, Lei Zhang, Pingwen Zhang
Liquid crystal is a typical kind of soft matter that is intermediate between crystalline solids and isotropic fluids. The study of liquid crystals has made tremendous progress over…