Scientific article

Asymptotic expansions of the global error of fixed-stepsize methods

Published inNumerische Mathematik, vol. 45, no. 3, p. 345-360
Publication date1984

In his fundamental paper on general fixed-stepsize methods, Skeel [6] studied convergence properties, but left the existence of asymptotic expansions as an open problem. In this paper we give a complete answer to this question. For the special cases of one-step and linear multistep methods our proof is shorter than the published ones. Asymptotic expansions are the theoretical base for extrapolation methods.

Affiliation Not a UNIGE publication
Citation (ISO format)
HAIRER, Ernst, LUBICH, Christian. Asymptotic expansions of the global error of fixed-stepsize methods. In: Numerische Mathematik, 1984, vol. 45, n° 3, p. 345–360. doi: 10.1007/BF01391413
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Article (Published version)
ISSN of the journal0029-599X

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