Stochastic differential equations with irregular coefficients: mind the gap!

04/23/2021

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by   Michaela Szölgyenyi, et al.

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Numerical methods for stochastic differential equations with non-globally Lipschitz coefficients are currently studied intensively. This article gives an overview of our work for the case that the drift coefficient is potentially discontinuous complemented by other important results in this area. To make the topic accessible to a broad audience, we begin with a heuristic on SDEs and a motivation.