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On Milstein approximations with varying coefficients: the case of super-linear diffusion coefficients

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 نشر من قبل Sotirios Sabanis
 تاريخ النشر 2016
  مجال البحث
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A new class of explicit Milstein schemes, which approximate stochastic differential equations (SDEs) with superlinearly growing drift and diffusion coefficients, is proposed in this article. It is shown, under very mild conditions, that these explicit schemes converge in $mathcal L^p$ to the solution of the corresponding SDEs with optimal rate.



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