2 papers
math.NA2025
Numerical Ergodicity of Stochastic Allen--Cahn Equation driven by Multiplicative White Noise
Zhihui Liu
We establish the unique ergodicity of a fully discrete scheme for monotone SPDEs with polynomial growth drift and bounded diffusion coefficients driven by multiplicative white nois…
math.NA2024
Strong Approximation of Stochastic Semiclassical Schroedinger Equation with Multiplicative Noise
Lihai Ji, Zhihui Liu
We consider the stochastic nonlinear Schroedinger equation driven by a multiplicative noise in a semiclassical regime, where the Plank constant is small. In this regime, the soluti…