“…In the context of the numerical approximation of the solution processes of such equations, the quantity of interest is typically the expected value of some functional of the solution and one is thus interested in the weak convergence rate of the considered numerical scheme. While the weak convergence analysis for numerical approximations of SPDE with Gaussian noise is meanwhile relatively far developed, see, e.g., [1,2,3,7,8,9,10,11,12,14,15,16,17,18,23,30], available results for non-Gaussian Lévy noise have been restricted to linear equations so far [4,5,21,25]. In this article, we analyze for the first time the weak convergence rate of numerical approximations for a class of semi-linear SPDE with non-Gaussian Lévy noise.…”