3 papers
math.NA2025
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…
math.NA2025
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…
math.NA2025
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…