On scaled one-step methods (Q1107958)
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scientific article; zbMATH DE number 4066248
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On scaled one-step methods |
scientific article; zbMATH DE number 4066248 |
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On scaled one-step methods (English)
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1988
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The paper deals with the derivation of embedded Runge-Kutta formulae of orders p(p-1), up to \(p=5\), with a continuous extension which is of order p everywhere. The minimum number of extra derivative evaluations required for the extension is established for \(p\leq 4\). The method of order 5 requires 6 evaluations, one extra for the error estimate and a further two for the continuous extension.
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Runge-Kutta method
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continuous extension
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error estimate
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