A note on \(B\)-stability of splitting methods (Q706524)
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scientific article; zbMATH DE number 2132408
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | A note on \(B\)-stability of splitting methods |
scientific article; zbMATH DE number 2132408 |
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A note on \(B\)-stability of splitting methods (English)
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8 February 2005
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The main result of this paper is a fact that the concepts of \(AN\)-stability, \(B\)-stability, and algebraic stability are equivalent for a non-confluent and additive Runge-Kutta method (ARK-method). The fractional step Runge-Kutta method (FSRK-method) is a particular case of the ARK-method, therefore the definition of algebraic stability here is not necessary. The author presents a class of \(B\)-stable and symmetric FSRK-methods.
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Runge-Kutta methods
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Stiff differential system
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B-stability
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algebraic stability
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fractional step
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