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A θ-stable approximations of abstract Cauchy problems

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Summary

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 2t (H 1x ) ∩L ∞t (L 2x ).

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  1. Istituto di Analisi Numerica del C.N.R., Corso Carlo Alberto 5, I-27100, Pavia, Italy

    Giuseppe Savaré

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  1. Giuseppe Savaré
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Savaré, G. A θ-stable approximations of abstract Cauchy problems. Numer. Math. 65, 319–335 (1993). https://doi.org/10.1007/BF01385755

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  • DOI: https://doi.org/10.1007/BF01385755

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