Mean-Square Convergence of Drift-Implicit One-Step Methods for Neutral Stochastic Delay Differential Equations with Jump Diffusion

A class of drift-implicit one-step schemes are proposed for the neutral stochastic delay differential equations (NSDDEs) driven by Poisson processes. A general framework for mean-square convergence of the methods is provided. It is shown that under certain conditions global error estimates for a met...

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Bibliographic Details
Published in:Discrete Dynamics in Nature and Society
Main Authors: Lin Hu, Siqing Gan
Format: Article
Language:English
Published: Wiley 2011-01-01
Online Access:http://dx.doi.org/10.1155/2011/917892