Improved multilevel Monte Carlo convergence using the Milstein scheme

In this paper we show that the Milstein scheme can be used to improve the convergence of the multilevel Monte Carlo method for scalar stochastic differential equations, so that the computational cost to achieve a root-mean-square error of $\epsilon$ is reduced to $O(\epsilon^{-2})$. Numerical result...

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Bibliographic Details
Main Author: Giles, M
Format: Report
Published: Unspecified 2006

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