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Convergence of the Euler scheme for stochastic differential equations with irregular coefficients

Liqing Yan

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Abstract

Weak convergence of the Euler scheme for stochastic differential equations is established when coefficients are discontinuous on a set of Lebesgue measure zero. The rate of convergence is also given when coefficients are Hölder continuous.

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What this paper is about

Weak convergence of the Euler scheme for stochastic differential equations is established when coefficients are discontinuous on a set of Lebesgue measure zero. The rate of convergence is also given when coefficients are Hölder continuous.

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OpenAlex reports 4 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

Weak convergence of the Euler scheme for stochastic differential equations is established when coefficients are discontinuous on a set of Lebesgue measure zero. The rate of convergence is also given when coefficients are Hölder continuous.

Key concepts: Convergence (economics), Applied mathematics, Euler's formula, Stochastic differential equation, Mathematics, Euler method, Backward Euler method, Euler equations

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