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The strong convergence and stability of explicit approximations for nonlinear stochastic delay differential equations.
- Source :
-
Numerical Algorithms . Feb2022, Vol. 89 Issue 2, p855-883. 29p. - Publication Year :
- 2022
-
Abstract
- This paper focuses on explicit approximations for nonlinear stochastic delay differential equations (SDDEs). Under less restrictive conditions, the truncated Euler-Maruyama (TEM) schemes for SDDEs are proposed, which numerical solutions are bounded in the q th moment for q ≥ 2 and converge to the exact solutions strongly in any finite interval. The 1/2 order convergence rate is yielded. Furthermore, the long-time asymptotic behaviors of numerical solutions, such as stability in mean square and ℙ − 1 , are examined. Several numerical experiments are carried out to illustrate our results. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 10171398
- Volume :
- 89
- Issue :
- 2
- Database :
- Academic Search Index
- Journal :
- Numerical Algorithms
- Publication Type :
- Academic Journal
- Accession number :
- 154610774
- Full Text :
- https://doi.org/10.1007/s11075-021-01137-2