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