On the maximal degree of the \(k\)-step Obrechkoff's method (Q1866630)
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scientific article; zbMATH DE number 1894908
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the maximal degree of the \(k\)-step Obrechkoff's method |
scientific article; zbMATH DE number 1894908 |
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On the maximal degree of the \(k\)-step Obrechkoff's method (English)
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8 December 2003
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The author develops a \(k\)-step Obrechkoff method to obtain numerical solutions of the Cauchy problem for ordinary differential equations of arbitrary order. It is shown that the convergence of the multi-step method depends on its stability. The maximal value of the degree for stable and nonstable \(k\)-step Obrechkoff methods of explicit, implicit and forward-jumping types is defined.
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\(k\)-step Obrechkoff's method
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Cauchy problem
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stability
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multistep method
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