  We establish the convergences (with respect to the simulation time $t$; the
number of particles $N$; the timestep $\gamma$) of a Moran/Fleming-Viot type
particle scheme toward the quasi-stationary distribution of a diffusion on the
$d$-dimensional torus, killed at a smooth rate. In these conditions,
quantitative bounds are obtained that, for each parameter ($t\rightarrow
\infty$, $N\rightarrow \infty$ or $\gamma\rightarrow 0$) are independent from
the two others.
