On the local error and the local truncation error of linear multistep methods |
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Authors: | J D Lambert |
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Institution: | (1) Department of Mathematics and Computer Science, University of Dundee, DD1 4HN Dundee, Scotland |
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Abstract: | Two different measures of the local accuracy of a linear multistep method — the local error and the local trunction error — appear in the literature. It is shown that the principal parts of these errors are not identical for general linear multistep methods, but that they are so for a sub-class which contains all methods of Adams type. It is sometimes argued that local error is the more natural measure; this view is challenged. |
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Keywords: | AMS (MOS): 65L05 |
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