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Strong Convergence Analysis of Split-Step θ-Scheme for Nonlinear Stochastic Differential Equations with Jumps

Published online by Cambridge University Press:  19 September 2016

Xu Yang*
Affiliation:
School of Mathematics, Shandong University, Jinan 250100, China
Weidong Zhao*
Affiliation:
School of Mathematics, Shandong University, Jinan 250100, China
*
*Corresponding author. Email:[email protected] (X. Yang), [email protected] (W. D. Zhao)
*Corresponding author. Email:[email protected] (X. Yang), [email protected] (W. D. Zhao)
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Abstract

In this paper, we investigate the mean-square convergence of the split-step θ-scheme for nonlinear stochastic differential equations with jumps. Under some standard assumptions, we rigorously prove that the strong rate of convergence of the split-step θ-scheme in strong sense is one half. Some numerical experiments are carried out to assert our theoretical result.

Type
Research Article
Copyright
Copyright © Global-Science Press 2016 

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