Regular Runge-Kutta pairs (Q1372704)
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scientific article; zbMATH DE number 1088831
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Regular Runge-Kutta pairs |
scientific article; zbMATH DE number 1088831 |
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Regular Runge-Kutta pairs (English)
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23 June 1998
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The theory of regular Runge-Kutta methods (i.e., methods that avoid spurious fixed points) is extended to the case of embedded Runge-Kutta pairs used in variable stepsize mode with local error control. A new concept -- regularity at zero tolerance -- is introduced, and it is shown how regularity results for small tolerances can be derived.
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regular Runge-Kutta methods
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spurious fixed points
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local error control
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variable stepsize
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