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Erschienen in:
2011 | OriginalPaper | Buchkapitel
A Review of Recent Results on Approximation of Solutions of Stochastic Differential Equations
verfasst von : Benjamin Jourdain, Arturo Kohatsu-Higa
Erschienen in: Stochastic Analysis with Financial Applications
Verlag: Springer Basel
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In this article, we give a brief review of some recent results concerning the study of the Euler-Maruyama scheme and its high-order extensions. These numerical schemes are used to approximate solutions of stochastic differential equations, which enables to approximate various important quantities including solutions of partial differential equations. Some have been implemented in Premia [56]. In this article we mainly consider results about weak approximation, the most important for financial applications.