2 papers
math.PR2026
Explicit numerical approximations for McKean-Vlasov stochastic differential equations in finite and infinite time
Yuanping Cui, Xiaoyue Li, Yi Liu +1
Inspired by the stochastic particle method, this paper establishes an easily implementable explicit numerical method for McKean-Vlasov stochastic differential equations (MV-SDEs) w…
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…