Summary
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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This research was supported in part by NSF Grant GP-36561.
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Fairweather, G., Johnson, J.P. On the extrapolation of Galerkin methods for parabolic problems. Numer. Math. 23, 269–287 (1974). https://doi.org/10.1007/BF01400310
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DOI: https://doi.org/10.1007/BF01400310