, Volume 65, Issue 1, pp 319-335

A θ-stable approximations of abstract Cauchy problems

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We study the approximation of linear parabolic Cauchy problems by means of Galerkin methods in space andA θ-stable multistep schemes of arbitrary order in time. The error is evaluated in the norm ofL t 2 (H x 1 ) ∩L t (L x 2 ).