On roots and error constants of optimal stability polynomials (Q1569898)
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scientific article; zbMATH DE number 1471145
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On roots and error constants of optimal stability polynomials |
scientific article; zbMATH DE number 1471145 |
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On roots and error constants of optimal stability polynomials (English)
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9 July 2000
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This paper concerns the optimal stability polynomials, which are polynomials whose stability region is as large as possible in a certain region. An important application of these polynomials is the construction of stabilized Runge-Kutta methods. Some properties of the roots of these polynomials are obtained. It is proved that their error constant is always positive. Moreover, for a given order, the error constant decreases as the degree increases.
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stiff systems
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optimal stability polynomials
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Runge-Kutta methods
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error constant
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