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Stability in Distribution of Numerical Solutions for Stochastic Differential Equations 

Authors: Chenggui Yuan a; Xuerong Mao b
Affiliations:   a Department of Engineering, University of Cambridge, Cambridge, Singapore, UK
b Department of Statistics and Modelling Science, University of Strathclyde, Glasgow, Singapore, UK
DOI: 10.1081/SAP-200026423
Publication Frequency: 6 issues per year
Published in: journal Stochastic Analysis and Applications, Volume 22, Issue 5 January 2005 , pages 1133 - 1150
Formats available: HTML (English) : PDF (English)
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Abstract

The numerical methods on stochastic differential equations (SDEs) have been well established. There are several papers that study the numerical stability of SDEs with respect to sample paths or moments. In this paper, we study the stability in distribution of numerical solution of SDEs.
Keywords: Brownian motion; Euler-Maruyama method; Lipschitz condition; Stability in distribution
Mathematics Subject Classification: Primary 60H10; Secondary 37A50
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