### Precise lim sup behavior of probabilities of large deviations for sums of i.i.d. random variables.

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Asymptotic error expansions in the sense of ${L}^{\infty}$-norm for the Raviart-Thomas mixed finite element approximation by the lowest-order rectangular element associated with a class of parabolic integro-differential equations on a rectangular domain are derived, such that the Richardson extrapolation of two different schemes and an interpolation defect correction can be applied to increase the accuracy of the approximations for both the vector field and the scalar field by the aid of an interpolation postprocessing...

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