Regularity properties of general linear methods for initial value problems of ordinary differential equations (Q1590828)
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scientific article; zbMATH DE number 1548126
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Regularity properties of general linear methods for initial value problems of ordinary differential equations |
scientific article; zbMATH DE number 1548126 |
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Regularity properties of general linear methods for initial value problems of ordinary differential equations (English)
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21 October 2001
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Sufficient conditions for strong and weak regularity (non-spurious solutions) of the dynamical systems inherent in the general linear numerical solution methods for initial value problems of ordinary differential equations are formulated and proved. A separate treatment is given to globally Lipschitz, contractive and monotone conditions. The existing relevant results of Runge-Kutta methods and linear multi-step methods are extended.
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non-spurious solutions
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regularity
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dynamical systems
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initial value problems
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Runge-Kutta methods
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linear multi-step methods
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0.9086782
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0.89575416
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0.8937523
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0.89260453
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