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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…
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…