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Session I.7 - Stochastic Computation

Tuesday, June 13, 17:30 ~ 18:00

On the strong approximation of SDEs with superlinear growing coefficients: convergence and stability of the exponential Euler scheme.

Mireille Bossy

INRIA, France   -   This email address is being protected from spambots. You need JavaScript enabled to view it.

We consider the problem of approximating the solution of an SDE with a non-globally Lipschitz drift, possibly discontinuous, and a diffusion coefficient with polynomial growth. By studying the strong error, we show the usual convergence rate of 1/2 for the exponential Euler scheme.

The condition for obtaining a convergence rate is mainly determined by the possible control of the moments, and the exponential moment of the exact process and the scheme. The proof relies on a time change technique.

Joint work with Kerlyns Martínez (University of Valparaíso).

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