A modified split-step truncated Euler-Maruyama method for SDEs with non-globally Lips- chitz continuous coefficients

被引：1

作者：

Haghighi, Amir ^{[1
]}

机构：

[1] Razi Univ, Fac Sci, Dept Math, Kermanshah, Iran

来源：

COMPUTATIONAL METHODS FOR DIFFERENTIAL EQUATIONS | 2023年 / 11卷 / 03期

关键词：

Local Lipschitz condition; Khasiminskii condition; Truncated method; Split-step method; Strong convergence; STOCHASTIC DIFFERENTIAL-EQUATIONS; STRONG-CONVERGENCE; STABILITY; APPROXIMATION;

D O I：

10.22034/cmde.2022.52638.2212

中图分类号：

O29 [应用数学];

学科分类号：

070104 ;

摘要：

In this paper, we propose an explicit diffuse the split-step truncated Euler-Maruyama (DSSTEM) method for stochastic differential equations with non-global Lipschitz coefficients. We investigate the strong convergence of the new method under local Lipschitz and Khasiminskii-type conditions. We show that the newly proposed method achieves a strong convergence rate arbitrarily close to half under some additional conditions. Finally, we illustrate the efficiency and performance of the proposed method with numerical results.

引用

页码：522 / 534

页数：13

共 21 条

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