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20162026
most citedSimplified Gentlest Ascent Dynamics for Saddle Points in Non-gradient Systems

13 citations · 16 across the 9 of their papers we have counts for

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math.NA2026

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…

math.NA2023

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…

math.NA2020

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…

math.NA2016★ 3 cited

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…

math.NA2016

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…