3 papers
math.NA2026
Uniform-in-time strong convergence rates of fully discrete approximations for stochastic Cahn--Hilliard equations with multiplicative noise
Jiaqin He, Nan Deng, Shuhan Zhang +1
This paper investigates the uniform-in-time strong convergence rates of a fully discrete approximation for the stochastic Cahn--Hilliard equation driven by multiplicative noise in…
math.NA2026
Finite Difference Method for Stochastic Cahn-Hilliard Equation Driven by A Fractional Brownian Sheet
Nan Deng, Wanrong Cao
The stochastic Cahn-Hilliard equation driven by a fractional Brownian sheet provides a more accurate model for correlated space-time random perturbations. This study delves into tw…
math.NA2025
Ergodicity and invariant measure approximation of the stochastic Cahn-Hilliard equation via an explicit fully discrete scheme
Nan Deng, Yibo Wang, Wanrong Cao
This paper investigates the stochastic Cahn-Hilliard equation (SCHE) driven by additive space-time white noise. We first refine the analytical ergodic theory by proving that the co…