4 citations · 12 across the 8 of their papers we have counts for
6 papers · 1 filter
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…
A continuation multiple shooting method for Wasserstein geodesic equation
Jianbo Cui, Luca Dieci, Haomin Zhou
In this paper, we propose a numerical method to solve the classic -optimal transport problem. Our algorithm is based on use of multiple shooting, in combination with a continu…
Time Discretizations of Wasserstein-Hamiltonian Flows
Jianbo Cui, Luca Dieci, Haomin Zhou
We study discretizations of Hamiltonian systems on the probability density manifold equipped with the -Wasserstein metric. Based on discrete optimal transport theory, several…
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…
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--…
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…