The equivalence of algebraic stability and AN-stability (Q1098584)
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scientific article; zbMATH DE number 4039179
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The equivalence of algebraic stability and AN-stability |
scientific article; zbMATH DE number 4039179 |
Statements
The equivalence of algebraic stability and AN-stability (English)
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1987
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Let C be a general linear integration method. The author proves that an irreducible AN-stable method C is algebraically stable (for definitions of these concepts see the author [ibid. 27, 182-189 (1987; Zbl 0623.65074)]. This generalizes previous results about Runge-Kutta methods and one-leg methods. A number of useful miscellaneous results from theory of matrices are presented in the paper as well.
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algebraic stability
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linear integration method
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irreducible AN-stable method
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Runge-Kutta methods
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one-leg methods
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