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most citedOptimal Error Estimates of Galerkin Finite Element Methods for Stochastic Partial Differential Equations with Multiplicative Noise

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math.PR2016★ 17 cited

A discrete stochastic Gronwall Lemma

Raphael Kruse, Michael Scheutzow

We derive a discrete version of the stochastic Gronwall Lemma found in [Scheutzow, IDAQP, 2013]. The proof is based on a corresponding deterministic version of the discrete Gronwal…