4 citations · 12 across the 10 of their papers we have counts for
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Numerical analysis of a full discretization for stochastic Cahn--Hilliard equation driven by additive noise
Jianbo Cui, Jialin Hong, Liying Sun
In this article, we consider the stochastic Cahn--Hilliard equation driven by space-time white noise. We discretize this equation by using a spatial spectral Galerkin method and a…
Strong and weak convergence rates of finite element method for stochastic partial differential equation with non-sided Lipschitz coefficient
Jianbo Cui, Jialin Hong
Strong and weak approximation errors of a spatial finite element method are analyzed for stochastic partial differential equations(SPDEs) with one-sided Lipschitz coefficients, inc…
Strong convergence rates of semi-discrete splitting approximations for stochastic Allen--Cahn equation
Charles-Edouard Bréhier, Jianbo Cui, Jialin Hong
This article analyzes an explicit temporal splitting numerical scheme for the stochastic Allen-Cahn equation driven by additive noise, in a bounded spatial domain with smooth bound…
On Global Existence and Blow-up for Damped Stochastic Nonlinear Schrödinger Equation
Jianbo Cui, Jialin Hong, Liying Sun
In this paper, we consider the well-posedness of the weakly damped stochastic nonlinear Schrödinger(NLS) equation driven by multiplicative noise. First, we show the global existenc…