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The Partially Truncated Euler-Maruyama Method for super-linear Stochastic Delay Differential Equations with variable delay and Markovian switching (1804.07635v2)
Published 19 Apr 2018 in math.NA
Abstract: A class of super-linear stochastic delay differential equations (SDDEs) with variable delay and Markovian switching is considered. The main aim of this paper is to develop the partially truncated Euler-Maruyama (EM) method for the super-linear SDDEs with variable delay and Markovian switching, and investigate the convergence and stability properties of the numerical solution under the generalized Khasminskii0type condition.