6 citations · 15 across the 14 of their papers we have counts for
5 papers · 1 filter
Central limit theorem for full discretization of parabolic SPDE
Chuchu Chen, Tonghe Dang, Jialin Hong +1
In order to characterize the fluctuation between the ergodic limit and the time-averaging estimator of a full discretization in a quantitative way, we establish a central limit the…
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…
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…