A review of maximum-norm a posteriori error bounds for time-semidiscretisations of parabolic equations

12/22/2022

∙

by   Torsten Linß, et al.

∙

0

∙

share

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 L_1 norm for the Green's function associated with the parabolic operator and its derivatives.