Asymptotic expansions of the global error of fixed-stepsize methods (Q1061466)
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scientific article; zbMATH DE number 3911621
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Asymptotic expansions of the global error of fixed-stepsize methods |
scientific article; zbMATH DE number 3911621 |
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Asymptotic expansions of the global error of fixed-stepsize methods (English)
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1984
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This paper is concerned with the asymptotic expansion in powers of the stepsize for the global error of general discretization methods for ordinary differential equations. A new proof of the asymptotic expansion for the global error is given for one-step methods which is extended to a very general class of methods by considering them as ''one-step'' methods in a higher dimensional setting. Some consideration is also given to showing how even power expansions of the global error can be obtained.
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fixed-stepsize methods
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asymptotic expansion
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global error
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one-step methods
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