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Incomplete iterations in multistep backward difference methods for parabolic problems with smooth and nonsmooth data

Incomplete iterations in multistep backward difference methods for parabolic problems with smooth and nonsmooth data

Backward difference methods for the discretization of parabolic boundary value problems are considered in this paper. In particular, we analyze the case when the backward difference equations are only solved ’approximately’ by a preconditioned iteration. We provide an analysis which shows that these methods remain stable and accurate if a …