25 citations · 38 across the 17 of their papers we have counts for
15 papers · 1 filter
Wiener chaos expansion for stochastic Maxwell equations driven by Wiener process
Lihai Ji, Kuan Xue, Liying Zhang
A novel and efficient algorithm based on the Wiener chaos expansion is proposed for the stochastic Maxwell equations driven by Wiener process. The proposed algorithm can reduce the…
Two operator splitting methods for three-dimensional stochastic Maxwell equations with multiplicative noise
Liying Zhang, Xinyue Kang, Lihai Ji
In this paper, we develop two energy-preserving splitting methods for solving three-dimensional stochastic Maxwell equations driven by multiplicative noise. We use operator splitti…
Stochastic positivity-preserving symplectic splitting methods for stochastic Lotka--Volterra predator-prey model
Liying Zhang, Xinyue Kang, Lihai Ji
In this paper, we present two stochastic positive-preserving symplectic methods for the stochastic Lotka-Volterra predator-prey model driven by a multiplicative noise. To inherit t…
Ergodic numerical approximations for stochastic Maxwell equations
Chuchu Chen, Jialin Hong, Lihai Ji +1
In this paper, we propose a novel kind of numerical approximations to inherit the ergodicity of stochastic Maxwell equations. The key to proving the ergodicity lies in the uniform…
A new efficient operator splitting method for stochastic Maxwell equations
Chuchu Chen, Jialin Hong, Lihai Ji
This paper proposes and analyzes a new operator splitting method for stochastic Maxwell equations driven by additive noise, which not only decomposes the original multi-dimensional…
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…
Runge-Kutta semidiscretizations for stochastic Maxwell equations with additive noise
Chuchu Chen, Jialin Hong, Lihai Ji
The paper concerns semidiscretizations in time of stochastic Maxwell equations driven by additive noise. We show that the equations admit physical properties and mathematical struc…
Mean-square convergence of a semi-discrete scheme for stochastic nonlinear Maxwell equations
Chuchu Chen, Jialin Hong, Lihai Ji
In this paper, we propose a semi-implicit Euler scheme to discretize the stochastic nonlinear Maxwell equations with multiplicative Ito noise, which is implicit in the drift term a…
Stochastic K-symplectic integrators for stochastic non-canonical Hamiltonian systems and applications to the Lotka--Volterra model
Jialin Hong, Lihai Ji, Xu Wang +1
We give a theoretical framework of stochastic non-canonical Hamiltonian systems as well as their modified symplectic structure which is named stochastic K-symplectic structure. The…
Convergence in probability of an ergodic and conformal multi-symplectic numerical scheme for a damped stochastic NLS equation
Jialin Hong, Lihai Ji, Xu Wang
In this paper, we investigate the convergence order in probability of a novel ergodic numerical scheme for damped stochastic nonlinear Schrödinger equation with an additive noise.…
Optimal Error Estimates of Conservative Local Discontinuous Galerkin Method for Nonlinear Schrödinger Equation
Jialin Hong, Lihai Ji, Zhihui Liu
In this paper, we propose a conservative local discontinuous Galerkin method for one-dimensional nonlinear Schrödinger equation. By using special upwind-biased numerical fluxes, we…
Parareal algorithms applied to stochastic differential equations with conserved quantities
Liying Zhang, Weien Zhou, Lihai ji
In this papers, we couple the parareal algorithm with projection methods of the trajectory on a specific manifold, defined by the preservation of some conserved quantities of the d…
Energy evolution of multi-symplectic methods for Maxwell equations with perfectly matched layer boundary
Jialin Hong, Lihai Ji
In this paper, we consider the energy evolution of multi-symplectic methods for three-dimensional (3D) Maxwell equations with perfectly matched layer boundary, and present the ener…
Mean-square Convergence of a Symplectic Local Discontinuous Galerkin Method Applied to Stochastic Linear Schroedinger Equation
Chuchu Chen, Jialin Hong, Lihai Ji
In this paper, we investigate the mean-square convergence of a novel symplectic local discontinuous Galerkin method in L^2-norm for stochastic linear Schroedinger equation with mul…
Energy-conserving method for Stochastic Maxwell Equations with Multiplicative Noise
Jialin Hong, Lihai Ji, Liying Zhang +1
In this paper, it is shown that three-dimensional stochastic Maxwell equations with multiplicative noise are stochastic Hamiltonian partial differential equations possessing a geom…