Abstract

The paper deals with weak approximations of stochastic differential equations of Itô type, where convergence rates of the approximate solutions are shown using E¦|·¦| C[t 0, T] P , p ϵ [2, ∞). The rates can also be interpreted as rates for the L p Wasserstein metrics, p ϵ [1, ∞), between the distributions of exact and approximate solutions. The two approximation schemes considered are a combination of the time discretization methods of Euler and Milshtein with a chance discretization based on the invariance principle, and they work on a grid constructed to tune both discretizations.

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