Convergence analysis of explicit stabilized integrators for parabolic semilinear stochastic PDEs

Abstract Explicit stabilized integrators are an efficient alternative to implicit or semiimplicit methods avoid the severe time-step restriction faced by standard explicit applied stiff diffusion problems. In this paper we provide a fully discrete strong convergence analysis of family coupled with finite element for class parabolic semilinear deterministic and stochastic partial differential equations. Numerical experiments including heat equation space-time white noise confirm theoretical findings.