4 citations · 8 across the 4 of their papers we have counts for
7 papers
Structure-preserving splitting methods for stochastic logarithmic Schrödinger equation via regularized energy approximation
Jianbo Cui, Jialin Hong, Liying Sun
In this paper, we study two kinds of structure-preserving splitting methods, including the Lie--Trotter type splitting method and the finite difference type method, for the stochas…
Stochastic logarithmic Schrodinger equations: energy regularized approach
Jianbo Cui, Liying Sun
In this paper, we prove the global existence and uniqueness of the solution of the stochastic logarithmic Schrödinger (SlogS) equation driven by additive noise or multiplicative no…
Numerically asymptotical preservation of the large deviations principles for invariant measures of Langevin equations
Jialin Hong, Diancong Jin, Derui Sheng +1
In this paper, we focus on two kinds of large deviations principles (LDPs) of the invariant measures of Langevin equations and their numerical methods, as the noise intensity $ε\to…
Structure-preserving numerical methods for stochastic Poisson systems
Jialin Hong, Jialin Ruan, Liying Sun +1
We propose a class of numerical integration methods for stochastic Poisson systems (SPSs) of arbitrary dimensions. Based on the Darboux-Lie theorem, we transform the SPSs to their…
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…
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…