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Weak convergence of Euler scheme for SDEs with low regular drift

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In this paper, we investigate the weak convergence rate of Euler-Maruyama’s approximation for stochastic differential equations with low regular drifts. Explicit weak convergence rates are presented if drifts satisfy an… Click to show full abstract

In this paper, we investigate the weak convergence rate of Euler-Maruyama’s approximation for stochastic differential equations with low regular drifts. Explicit weak convergence rates are presented if drifts satisfy an integrability condition including discontinuous functions which can be non-piecewise continuous or in some fractional Sobolev space.

Keywords: low regular; weak convergence; convergence; convergence euler; euler scheme

Journal Title: Numerical Algorithms
Year Published: 2021

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