A Note on the Partially Truncated Euler--Maruyama Method

发布日期: 2018-07-09  作者:    浏览次数: 10 


报告人:毛学荣教授, University of Strathclyde, U.K.

报告题目:A Note on the Partially Truncated Euler--Maruyama Method

报告摘要:The partially truncated Euler--Maruyama (EM) method was recently proposed in our earlier paper (Guo, Liu, Mao and Yue, 2017) for highly nonlinear stochastic differential equations (SDEs), where the finite-time strong $L^r$-convergence theory was established. In this note, we will point out that one condition imposed there is restrictive in the sense that this condition might force the stepsize to be so small that the partially truncated EM method would be inapplicable. In this note, we will remove this restrictive condition but still be able to establish the finite-time strong $L^r$-convergence rate. The advantages of our new results will be highlighted by the comparisons with our earlier results in (Guo, Liu, Mao and Yue, 2017).     

报告时间:2018年7月20日(周五) 上午 9:00

报告地点:徐汇校区10号楼222

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