“…As indicated in [2], the fully discrete exponential Euler and fully discrete linear-implicit Euler approximations diverge strongly and numerically weakly in the case of stochastic Allen-Cahn equations. Later, some explicit modified Euler-type schemes have been proposed in [3,4,5,9,19,28] to numerically solve the stochastic Allen-Cahn equations. Based on a spectral Galerkin spatial approximation of (1.1), given by dX N (t) + A(AX N (t) + P N F (X N (t)))dt = P N dW (t), t ∈ (0, T ]; X N (0) = P N X 0 ,…”