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math.NA2019
Energy-preserving exponential integrable numerical method for stochastic cubic wave equation with additive noise
Jianbo Cui, Jialin Hong, Lihai Ji +1
In this paper, we present an energy-preserving exponentially integrable numerical method for stochastic wave equation with cubic nonlinearity and additive noise. We first apply the…
math.NA2019
Absolute continuity and numerical approximation of stochastic Cahn--Hilliard equation with unbounded noise diffusion
Jianbo Cui, Jialin Hong
In this article, we develop and analyze a full discretization, based on the spatial spectral Galerkin method and the temporal drift implicit Euler scheme, for the stochastic Cahn--…
math.PR2019
Wellposedness and regularity estimate for stochastic Cahn--Hilliard equation with unbounded noise diffusion
Jianbo Cui, Jialin Hong
In this article, we consider the stochastic Cahn--Hilliard equation driven by multiplicative space-time white noise with diffusion coefficient of sublinear growth. By introducing t…