  In this paper, we consider the numerical methods preserving single or
multiple conserved quantities, and these methods are able to reach high order
of strong convergence simultaneously based on some kinds of projection methods.
The mean-square convergence orders of these methods under certain conditions
are given, which can reach order 1.5 or even 2 according to the supporting
methods embedded in the projection step. Finally, three numerical experiments
are taken into account to show the superiority of the projection methods.
