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Quantitative error estimates for the implicit Euler scheme for linear evolutionary problems with rough data
[article]
2021
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For the initial-boundary value problem for a non-homogeneous linear parabolic differential equation with time-dependent coefficients, the discretization in time by the backward Euler method is considered. The method is shown to be convergent of first order even for rough data. Attention is directed, in particular, to estimates of the appearing constants as well as to restrictions on the step size in dependence on the problem's parameters. In addition, the temporal discretization of the
doi:10.14279/depositonce-14736
fatcat:imzz472zhnbc3hgoxa2o3mfdgm