Strong convergence rate of truncated Euler-Maruyama method for stochastic differential delay equations with Poisson jumps

Abstract

We study a class of super-linear stochastic differential delay equations with Poisson jumps (SDDEwPJs). The convergence and rate of the convergence of the truncated Euler-Maruyama numerical solutions to SDDEwPJs are investigated under the generalized Khasminskii-type condition.

Key words： Truncated Euler-Maruyama method; stochastic differential delay equations; Poisson jumps; rate of the convergence

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