  We apply the semi-discrete method, c.f. \emph{N. Halidias and I.S. Stamatiou
(2016), On the numerical solution of some non-linear stochastic differential
equations using the semi-discrete method, Computational Methods in Applied
Mathematics, 16(1)}, to a class of non-colliding particle systems. The proposed
numerical scheme preserves the non-colliding property and strongly converges to
the exact solution.
