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math.PR2014★ 2 cited
Optimal transport bounds between the time-marginals of a multidimensional diffusion and its Euler scheme
Aurélien Alfonsi, Benjamin Jourdain, Arturo Kohatsu-Higa
In this paper, we prove that the time supremum of the Wasserstein distance between the time-marginals of a uniformly elliptic multidimensional diffusion with coefficients bounded t…
math.PR2012★ 2 cited
Strong convergence of some drift implicit Euler scheme. Application to the CIR process
Aurélien Alfonsi
We study the convergence of a drift implicit scheme for one-dimensional SDEs that was considered by Alfonsi for the Cox-Ingersoll-Ross (CIR) process. Under general conditions, we o…