Order stars and stiff integrators (Q1841947)

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scientific article; zbMATH DE number 1566005
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Order stars and stiff integrators
scientific article; zbMATH DE number 1566005

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    Order stars and stiff integrators (English)
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    14 July 2002
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    The order star diagram devised by \textit{G. Wanner, E. Hairer}, and \textit{S. P. Nørsett} [BIT 18, 475-489 (1978; Zbl 0444.65039)] is useful in the study of stability of discrete numerical algorithms especially \(A\)-stability of implicit Runge-Kutta methods. The authors describe the diagram in detail and discuss its many past and ongoing applications.
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    stiff system
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    order star diagram
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    stability
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    \(A\)-stability
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    implicit Runge-Kutta methods
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