Construction of efficient general linear methods for non-stiff differential systems (Q2884913)
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scientific article; zbMATH DE number 6036697
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Construction of efficient general linear methods for non-stiff differential systems |
scientific article; zbMATH DE number 6036697 |
Statements
18 May 2012
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general linear methods
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Nordsieck representation
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order conditions
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inherent quadratic stability
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region of absolute stability
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Construction of efficient general linear methods for non-stiff differential systems (English)
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This paper constructs efficient explicit general linear methods in Nordsieck form. The methods have inherent quadratic stability and maximal stability regions. Examples of methods with order \(s\) and stage order \(s-1\) or \(s\), up to order 6, are given. No implementations or numerical comparisons with existing methods are given.
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