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This note aims to present further results on the accelerated exponential Euler method proposed in Jentzen & Kloeden (2009). In contrast to very restrictive assumptions made there, we reformulate appropriate conditions on the drift coefficient of SPDEs to include a large class of nonlinear Nemytskii operators. In our setting, the method achieves the convergence order in time of 12−ϵ for arbitrarily...
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