Open Access
2017 Weak error for the Euler scheme approximation of diffusions with non-smooth coefficients
Valentin Konakov, Stéphane Menozzi
Electron. J. Probab. 22: 1-47 (2017). DOI: 10.1214/17-EJP53

Abstract

We study the weak error associated with the Euler scheme of non degenerate diffusion processes with non smooth bounded coefficients. Namely, we consider the cases of Hölder continuous coefficients as well as piecewise smooth drifts with smooth diffusion matrices.

Citation

Download Citation

Valentin Konakov. Stéphane Menozzi. "Weak error for the Euler scheme approximation of diffusions with non-smooth coefficients." Electron. J. Probab. 22 1 - 47, 2017. https://doi.org/10.1214/17-EJP53

Information

Received: 4 April 2016; Accepted: 28 March 2017; Published: 2017
First available in Project Euclid: 11 May 2017

zbMATH: 1365.60065
MathSciNet: MR3661660
Digital Object Identifier: 10.1214/17-EJP53

Subjects:
Primary: 60H10
Secondary: 65C30

Keywords: Diffusion processes , Euler scheme , Hölder coefficients , Parametrix , Piecewise smooth bounded drifts

Vol.22 • 2017
Back to Top