Displaying similar documents to “A stochastic scheme of approximation for ordinary differential equations.”

Behavior of the Euler scheme with decreasing step in a degenerate situation

Vincent Lemaire (2007)

ESAIM: Probability and Statistics

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The aim of this short note is to study the behavior of the weighted empirical measures of the decreasing step Euler scheme of a one-dimensional diffusion process having multiple invariant measures. This situation can occur when the drift and the diffusion coefficient are vanish simultaneously.