13 citations · 16 across the 9 of their papers we have counts for
10 papers
A Deep Ritz Method for High-Dimensional Steady States of the Cahn-Hilliard Equation
Yi Liu, Shuting Gu
The Cahn-Hilliard equation is a fundamental model for describing phase separation phenomena in binary mixtures. Traditional numerical methods, such as finite difference and finite…
Iterative Proximal-Minimization for Computing Saddle Points with Fixed Index
Shuting Gu, Hao Zhang, Xiaoqun Zhang +1
Computing saddle points with a prescribed Morse index on potential energy surfaces is crucial for characterizing transition states for nosie-induced rare transition events in physi…
StringNET: Neural Network based Variational Method for Transition Pathways
Jiayue Han, Shuting Gu, Xiang Zhou
Rare transition events in meta-stable systems under noisy fluctuations are crucial for many non-equilibrium physical and chemical processes. In these processes, the primary contrib…
Micromagnetics simulations and phase transitions of ferromagnetics with Dzyaloshinskii-Moriya interaction
Panchi Li, Shuting Gu, Jin Lan +3
Magnetic skyrmions widely exist in a diverse range of magnetic systems, including chiral magnets with a non-centrosymmetric structure characterized by Dzyaloshinkii-Moriya interact…
Towards Robust Calculation of index- Saddle Point: Iterative Proximal-Minimization and Differential Game Model
Shuting Gu, Hao Zhang, Xiang Zhou
Saddle point with a given Morse index on a potential energy surface is an important object related to energy landscape in physics and chemistry. Efficient numerical methods based o…
Active Learning for Saddle Point Calculation
Shuting Gu, Hongqiao Wang, Xiang Zhou
The saddle point (SP) calculation is a grand challenge for computationally intensive energy function in computational chemistry area, where the saddle point may represent the trans…
Projection Method for Saddle Points of Energy Functional in Metric
Shuting Gu, Ling Lin, Xiang Zhou
Saddle points play important roles as the transition states of activated process in gradient system driven by energy functional. However, for the same energy functional, the saddle…
Simplified Gentlest Ascent Dynamics for Saddle Points in Non-gradient Systems
Shuting Gu, Xiang Zhou
The gentlest ascent dynamics (GAD) (Nonlinearity, vol. 24, no. 6, p1831, 2011) is a continuous time dynamics coupling both the position and the direction variables to efficiently l…
Convex Splitting Method for the Calculation of Transition States of Energy Functional
Shuting Gu, Xiang Zhou
Among numerical methods for partial differential equations arising from steepest descent dynamics of energy functionals (e.g., Allen-Cahn and Cahn-Hilliard equations), the convex s…
Multiscale Gentlest Ascent Dynamics for Saddle Point in Effective Dynamics of Slow-Fast System
Shuting Gu, Xiang Zhou
Here we present a multiscale method to calculate the saddle point associated with the effective dynamics arising from a stochastic system which couples slow deterministic drift and…