Derivation and implementation of two-step Runge-Kutta pairs (Q698393)
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scientific article; zbMATH DE number 1802941
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Derivation and implementation of two-step Runge-Kutta pairs |
scientific article; zbMATH DE number 1802941 |
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Derivation and implementation of two-step Runge-Kutta pairs (English)
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16 February 2003
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The authors derive embedded pairs of two-step Runge-Kutta formulae which use less function evalutations than the usual Runge-Kutta methods of the same order. The local error can be estimated in a reliable way and a robust step size control can be derived. Examples are given to show the behaviour of such pairs.
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Runge-Kutta methods
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two-step pairs
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error bounds
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robust step size control
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