논문KCI 등재
Convergence of the Euler-Maruyama method for stochastic differential equations driven by $G$-Brownian motion
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초록
In this paper, we deal with the Euler-Maruyama (EM) \linebreak scheme for stochastic differential equations driven by $G$-Brownian motion ($G$-SDEs). Under the linear growth and the local Lipschitz conditions, the strong convergence as well as the rate of convergence of the EM numerical solution to the exact solution for $G$-SDEs are established.
Abstract
In this paper, we deal with the Euler-Maruyama (EM) \linebreak scheme for stochastic differential equations driven by $G$-Brownian motion ($G$-SDEs). Under the linear growth and the local Lipschitz conditions, the strong convergence as well as the rate of convergence of the EM numerical solution to the exact solution for $G$-SDEs are established.
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