3 papers
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.NA2024
Strong Approximation of Stochastic Semiclassical Schroedinger Equation with Multiplicative Noise
Lihai Ji, Zhihui Liu
We consider the stochastic nonlinear Schroedinger equation driven by a multiplicative noise in a semiclassical regime, where the Plank constant is small. In this regime, the soluti…
math.NA2023
An overlapping domain decomposition splitting algorithm for stochastic nonlinear Schroedinger equation
Lihai Ji
A novel overlapping domain decomposition splitting algorithm based on a Crank-Nisolson method is developed for the stochastic nonlinear Schroedinger equation driven by a multiplica…