2 papers
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.PR2024
Numerical approximation to the invariant measure of McKean-Vlasov stochastic differential equations
Yuanping Cui, Xiaoyue Li, Yi Liu +1
Inspired by the stochastic particle method, this paper develops an easily implementable explicit scheme for McKean-Vlasov stochastic differential equations (MV-SDEs) with superline…