On the asymptotic stability properties of Runge-Kutta methods for delay differential equations (Q1374745)
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scientific article; zbMATH DE number 1096025
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | On the asymptotic stability properties of Runge-Kutta methods for delay differential equations |
scientific article; zbMATH DE number 1096025 |
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On the asymptotic stability properties of Runge-Kutta methods for delay differential equations (English)
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10 December 1997
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The author considers the initial value problem for a delay differential equation and its numerical solution by means of (especially natural) Runge-Kutta methods. Furthermore, the dependence of the region of asymptotic stability on a fixed delay is analyzed. Finally, an algebraic procedure for checking natural Runge-Kutta methods is given, and the stability properties of some high-order methods are studied.
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delay differential equation
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Runge-Kutta methods
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asymptotic stability
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