2 papers
math.NA2026
A scalar auxiliary variable-based semi-implicit scheme for stochastic Cahn--Hilliard equation
Jianbo Cui, Jie Shen, Derui Sheng +1
In this paper, we present a novel semi-implicit numerical scheme for the stochastic Cahn--Hilliard equation driven by multiplicative noise. By reformulating the original equation i…
math.NA2025
Geometric Ergodicity and Optimal Error Estimates for a Class of Novel Tamed Schemes to Super-linear Stochastic PDEs
Zhihui Liu, Jie Shen
We construct a class of novel tamed schemes that can preserve the original Lyapunov functional for super-linear stochastic PDEs (SPDEs), including the stochastic Allen--Cahn equati…