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Scientific Article
unige:12464 
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Asymptotic expansions of the global error of fixed-stepsize methods |
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| Authors | ||
| Published in | Numerische Mathematik. 1984, vol. 45, no. 3, p. 345-360 | |
| Abstract | 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. | |
| Identifiers | DOI: 10.1007/BF01391413 | |
| Full text |
Article (Published version) (587 Kb) - Limited access to UNIGE Other version: http://www.springerlink.com/content/xp33386wpm73k337/ |
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| 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 https://archive-ouverte.unige.ch/unige:12464 |
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