29 citations · 140 across the 21 of their papers we have counts for
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math.NA2018★ 9 cited
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…
math.NA2018★ 8 cited
Weak convergence and invariant measure of a full discretization for non-globally Lipschitz parabolic SPDE
Jianbo Cui, Jialin Hong, Liying Sun
Approximating the invariant measure and the expectation of the functionals for parabolic stochastic partial differential equations (SPDEs) with non-globally Lipschitz coefficients…
math.PR2018★ 4 cited
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…