  This paper investigates projected Euler-Maruyama method for stochastic delay
differential equations under a global monotonicity condition. This condition
admits some equations with highly nonlinear drift and diffusion coefficients.
We appropriately generalized the idea of C-stability and B-consistency given by
Beyn et al. [J. Sci. Comput. 67 (2016), no. 3, 955-987] to the case with delay.
Moreover, the method is proved to be convergent with order $\frac{1}{2}$ in a
succinct way. Finally, some numerical examples are included to illustrate the
obtained theoretical results.
