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Strong convergence rates of tamed exponential Euler schemes for superlinear hyperbolic SPDEs

Klioba, Katharina
arXiv (All) · Papers
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60h1565c30analysis-of-pdesfunctional-analysisnumerical-analysisprimaryprobabilitysecondary
In this paper, we prove pathwise uniform convergence at rates up to $1/2$ for tamed exponential Euler schemes for semilinear hyperbolic stochastic evolution equations with superlinearly growing nonlinearities and multiplicative noise. We take the term hyperbolic to mean that the leading operator gen
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