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math.NA2024
Long-time weak convergence analysis of a semi-discrete scheme for stochastic Maxwell equations
Chuchu Chen, Jialin Hong, Ge Liang
It is known from the monograph [1, Chapter 5] that the weak convergence analysis of numerical schemes for stochastic Maxwell equations is an unsolved problem. This paper aims to fi…
math.NA2022
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…