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In this paper we shall prove the \(L^{p}\) (\(p>2\))-strong convergence of multiscale integration scheme for stochastic jump-diffusion systems with two-time-scale, which gives a numerical method for effective dynamical systems.

L p $L^{p }$ ( p > 2 $p>2$ )-strong convergence of multiscale integration scheme for jump-diffusion systems