On the equivalence of BS-stability and B-consistency (Q1823625)
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scientific article; zbMATH DE number 4115872
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the equivalence of BS-stability and B-consistency |
scientific article; zbMATH DE number 4115872 |
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On the equivalence of BS-stability and B-consistency (English)
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1989
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For the study of B-convergence of implicit Runge-Kutta methods (see \textit{R. Frank}, the second author and \textit{C. W. Ueberhuber} [SIAM J. Numer. Anal. 18, 753-780 (1981; Zbl 0467.65032)]) the concepts of BS-stability and B-consistency have been introduced. The present article proves that both concepts are equivalent for initial value problems with a one-sided Lipschitz constant \(m\geq 0\).
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stiff initial value problems
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B-convergence
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implicit Runge-Kutta methods
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BS-stability
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B-consistency
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