  In this paper we propose and analyze explicit space-time discrete numerical
approximations for additive space-time white noise driven stochastic partial
differential equations (SPDEs) with non-globally monotone nonlinearities such
as the stochastic Burgers equation with space-time white noise. The main result
of this paper proves that the proposed explicit space-time discrete
approximation method converges strongly to the solution process of the
stochastic Burgers equation with space-time white noise. To the best of our
knowledge, the main result of this work is the first result in the literature
which establishes strong convergence for a space-time discrete approximation
method in the case of the stochastic Burgers equations with space-time white
noise.
