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The Euler-Maruyama method for S(F)DEs with Hölder drift and α-stable noise

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ABSTRACT Consider the stochastic (functional) differential equations in with Hölder continuous drift driven by α-stable process satisfying (H1). Using Zvonkin type transformation, the convergence rate of Euler-Maruyama method is obtained.… Click to show full abstract

ABSTRACT Consider the stochastic (functional) differential equations in with Hölder continuous drift driven by α-stable process satisfying (H1). Using Zvonkin type transformation, the convergence rate of Euler-Maruyama method is obtained. The results are new, especially for the functional SDEs with irregular drift.

Keywords: euler maruyama; drift; method des; maruyama method

Journal Title: Stochastic Analysis and Applications
Year Published: 2018

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