A review of maximum-norm a posteriori error bounds for time-semidiscretisations of parabolic equations
Abstract
A posteriori error estimates in the maximum norm are studied for various time-semidiscretisations applied to a class of linear parabolic equations. We summarise results from the literature and present some new improved error bounds. Crucial ingredients are certain bounds in the L1 norm for the Green's function associated with the parabolic operator and its derivatives.
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