Abstract

The use of Richardson extrapolation in conjunction with several discrete-time Galerkin methods for the approximate solution of parabolic initialboundary value problems is investigated. It is shown that the extrapolation of certain two- and three-level Galerkin approximations which arep th order correct in time yields an improvement ofp orders of accuracy in time per extrapolation, wherep=1, 2. Both linear and quasilinear problems are considered.

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