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

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

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

Keywords: diffusion systems; convergence multiscale; strong convergence; multiscale integration; integration scheme; jump diffusion

Journal Title: Advances in Difference Equations
Year Published: 2019

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