  We introduce and analyze an explicit time discretization scheme for the
one-dimensional stochastic Allen-Cahn, driven by space-time white noise. The
scheme is based on a splitting strategy, and uses the exact solution for the
nonlinear term contribution. We first prove boundedness of moments of the
numerical solution. We then prove strong convergence results: first, L^2
($\Omega$)-convergence of order almost 1/4, localized on an event of
arbitrarily large probability, then convergence in probability of order almost
1/4. The theoretical analysis is supported by numerical experiments, concerning
strong and weak orders of convergence.
