A modified version of Urabe's implicit single-step method (Q579856)
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scientific article; zbMATH DE number 4016067
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A modified version of Urabe's implicit single-step method |
scientific article; zbMATH DE number 4016067 |
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A modified version of Urabe's implicit single-step method (English)
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1987
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\textit{M. Urabe}'s implicit single step method [Numer. Math. 15, 151-164 (1970; Zbl 0184.383)], which is a high-order predictor-corrector formula, is modified to have Milne-type estimator for local truncation error. The A-stability is also shown for the original and modified methods. The modified method with the modifier by the a posteriori estimator is suitable for non-stiff problems.
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implicit single step method
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high-order predictor-corrector formula
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Milne-type estimator for local truncation error
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A-stability
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non-stiff problems
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