8 citations · 8 across the 13 of their papers we have counts for
5 papers · 1 filter
A Second-Order Method for Locating Critical Points of Prescribed Index on Energy Landscapes
Qiang Du, Baoming Shi
Exploring high dimensional energy landscape is a challenging problem in many applications where both ground states and transition states offer important information about the under…
From molecular model to tensor model of nematic liquid crystals through entropy decomposition
Baoming Shi, Dawei Wu, Lei Zhang +1
In the mathematical modeling of nematic liquid crystals, a practical and physically reliable -tensor model can be derived from Onsager's molecular model with the Bingha…
Convergence Analysis of the Discrete Constrained Saddle Dynamics and Their Momentum Variants
Qiang Du, Baoming Shi
We study the discrete constrained saddle dynamics and their momentum variants for locating saddle points on manifolds. Under the assumption of exact unstable eigenvectors, we estab…
A Landau-de Gennes Type Theory for Cholesteric-Helical Smectic-Smectic C* Liquid Crystal Phase Transitions
Apala Majumdar, Baoming Shi, Dawei Wu +2
We present a rigorous mathematical analysis of a modified Landau-de Gennes (LdG) theory modeling temperature-driven phase transitions between cholesteric, helical smectic, and smec…
A Derivative-Free Saddle-search Algorithm With Linear Convergence Rate
Qiang Du, Baoming Shi, Lei Zhang +1
We propose a derivative-free saddle-search algorithm designed to locate transition states using only function evaluations. The algorithm employs a nested architecture consisting of…