Adaptive Euler-Maruyama method for SDEs with non-globally Lipschitz drift

This paper proposes an adaptive timestep construction for an Euler–Maruyama approximation of SDEs with nonglobally Lipschitz drift. It is proved that if the timestep is bounded appropriately, then over a finite time interval the numerical approximation is stable, and the expected number of timesteps...

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Bibliographic Details
Main Authors: Giles, M, Fang, W
Format: Journal article
Language:English
Published: Institution of Mathematical Statistics 2020