Layered vanadium-based oxides are regarded as promising cathode material for zinc-ion batteries (ZIBs), due to their open-framework crystal structure and high theoretical specific capacity. However, the sluggish Zn2+ diffusion and...
For stochastic differential equations (SDEs) whose drift and diffusion coefficients can grow super-linearly, the equivalence of the asymptotic mean square stability between the underlying SDEs and the partially truncated Euler-Maruyama method is studied. Using the finite time convergence as a bridge, a twofold result is proved. More precisely, the mean square stability of the SDEs implies that of the partially truncated Euler-Maruyama method, and the mean square stability of the partially truncated Euler-Maruyama method indicates that of the SDEs given the step size is carefully chosen.
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