{ "id": "2009.03049", "version": "v1", "published": "2020-09-07T12:12:09.000Z", "updated": "2020-09-07T12:12:09.000Z", "title": "Strong convergence rate of the truncated Euler-Maruyama method for stochastic differential delay equations with Poisson jumps", "authors": [ "Shuaibin Gao", "Junhao Hu", "Li Tan", "Chenggui Yuan" ], "categories": [ "math.NA", "cs.NA", "math.PR" ], "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.", "revisions": [ { "version": "v1", "updated": "2020-09-07T12:12:09.000Z" } ], "analyses": { "keywords": [ "strong convergence rate", "truncated euler-maruyama method", "poisson jumps", "super-linear stochastic differential delay equations" ], "note": { "typesetting": "TeX", "pages": 0, "language": "en", "license": "arXiv", "status": "editable" } } }