Starting algorithms for implicit Runge-Kutta-Nyström methods (Q1294475)
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scientific article; zbMATH DE number 1311241
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Starting algorithms for implicit Runge-Kutta-Nyström methods |
scientific article; zbMATH DE number 1311241 |
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Starting algorithms for implicit Runge-Kutta-Nyström methods (English)
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11 January 2000
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The author presents a theoretical study on some algorithms for obtaining initial values to solve the algebraic system of internal stages of some implicit Runge-Kutta-Nyström methods. Order conditions for these algorithms, using Butcher-series, are obtained. The algorithms either require additional function evaluations or do not require new function evaluations. Special attention is devoted to starting algorithms for Runge-Kutta-Nyström methods induced by implicit Runge-Kutta formulas and for collocation Runge-Kutta methods.
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implicit Runge-Kutta-Nyström methods
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starting algorithms
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order conditions
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collocation
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