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Perturbation Results for Exponential Rosenbrock‐Type Methods

In this note we consider exponential Rosenbrock‐type methods that have been introduced in [1, 2, 3]. Since these methods involve several terms, which can not be computed exactly in praxis it is interesting to understand, how additional errors in the method affect the overall accuracy of the scheme. We will give a perturbation result for general perturbations and study the effect of inexact evaluation of the Jacobian.