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Strong convergence of a tamed theta scheme for NSDDEs with one-sided Lipschitz drift.

Authors :
Tan, Li
Yuan, Chenggui
Source :
Applied Mathematics & Computation. Dec2018, Vol. 338, p607-623. 17p.
Publication Year :
2018

Abstract

This paper is concerned with strong convergence of a tamed theta scheme for neutral stochastic differential delay equations with one-sided Lipschitz drift. Strong convergence rate is revealed under a global one-sided Lipschitz condition, while for a local one-sided Lipschitz condition, the tamed theta scheme is modified to ensure the well-posedness of implicit numerical schemes, then we show the convergence of the numerical solutions. [ABSTRACT FROM AUTHOR]

Details

Language :
English
ISSN :
00963003
Volume :
338
Database :
Academic Search Index
Journal :
Applied Mathematics & Computation
Publication Type :
Academic Journal
Accession number :
131294869
Full Text :
https://doi.org/10.1016/j.amc.2018.06.051