The orders of embedded continuous explicit Runge-Kutta methods (Q1904279)
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scientific article; zbMATH DE number 827435
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | The orders of embedded continuous explicit Runge-Kutta methods |
scientific article; zbMATH DE number 827435 |
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The orders of embedded continuous explicit Runge-Kutta methods (English)
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19 December 1995
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This paper is concerned with the orders of embedded continuous explicit Runge-Kutta methods. New lower bounds on the numbers of stages required for a sequence of continuous methods of increasing orders are obtained. The main result establishes that for continuous methods of order \(p> 1\) at least \(2p- 2\) stages are required in each step, regardless of any singular structure among the parameters of the method.
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orders
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embedded continuous explicit Runge-Kutta methods
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continuous methods
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0.9256747
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0.9141246
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0.9130842
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0.9094549
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0.9032302
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