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

Numerical Analysis 2020-09-08 v1 Numerical Analysis Probability

Abstract

In this paper, 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.

Keywords

Cite

@article{arxiv.2009.03049,
  title  = {Strong convergence rate of the truncated Euler-Maruyama method for stochastic differential delay equations with Poisson jumps},
  author = {Shuaibin Gao and Junhao Hu and Li Tan and Chenggui Yuan},
  journal= {arXiv preprint arXiv:2009.03049},
  year   = {2020}
}