4 papers
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…
Stochastic multi-symplectic Runge-Kutta methods for stochastic Hamiltonian PDEs
Liying Zhang, Lihai Ji
In this paper, we consider stochastic Runge-Kutta methods for stochastic Hamiltonian partial differential equations and present some sufficient conditions for multisymplecticity of…