Construction of general linear methods with Runge-Kutta stability properties (Q1826502)
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scientific article; zbMATH DE number 2081594
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Construction of general linear methods with Runge-Kutta stability properties |
scientific article; zbMATH DE number 2081594 |
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Construction of general linear methods with Runge-Kutta stability properties (English)
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6 August 2004
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The authors construct explicit general linear methods of order \(p\) and stage order \(q= p\) with \(s= p= 1\) stages achieving a good balance between accuracy and stability. Conditions are imposed to ensure the stability matrix has only one nonzero eigenvalue. Examples of various stability regions are given.
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general linear methods
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Nordsieck representation
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inherent Runge-Kutta stability
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numerical examples
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