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This paper analyzes the discretization of a Neumann boundary control problemwith a stochastic parabolic equation, where an additive noise occurs in theNeumann boundary condition. The convergence is established for generalfiltrations, and the convergence rate $ O(\tau^{1/4-\epsilon} +h^{1/2-\epsilon}) $ is derived for the natural filtration of the Q-Wienerprocess.

Numerical analysis of a Neumann boundary control problem with a stochastic parabolic equation