| Abstract: |
| In this talk we investigate the properties of stochastic Maxwell equations with additive noise, including regularity, symplecticity, and the involution laws of energy and divergence, etc. We propose a general class of stochastic Runge-Kutta methods in the temporal direction to discretize the stochastic Maxwell equations and show that under certain conditions on the coefficients the methods preserve symplecticity. We show that the mean-square convergence order of the semidiscrete scheme is 1 under appropriate assumptions. |
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