  In this article we propose a new, explicit and easily implementable numerical
method for approximating a class of semilinear stochastic evolution equations
with non-globally Lipschitz continuous nonlinearities. We establish strong
convergence rates for this approximation method in the case of semilinear
stochastic evolution equations with globally monotone coefficients. Our strong
convergence result, in particular, applies to a class of stochastic
reaction-diffusion partial differential equations.
