Stability analysis of Runge-Kutta methods for nonlinear delay differential equations (Q1293247)
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scientific article; zbMATH DE number 1309453
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Stability analysis of Runge-Kutta methods for nonlinear delay differential equations |
scientific article; zbMATH DE number 1309453 |
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Stability analysis of Runge-Kutta methods for nonlinear delay differential equations (English)
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23 September 1999
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The new concepts of GR\((l)\)-stability, GAR\((l)\)-stability and weak GAR\((l)\)-stability are introduced to study the stability behaviour of Runge-Kutta methods for nonlinear delay-differential equations. These stability properties are studied for \((k,l)\)-algebraically stable Runge-Kutta methods with a piecewise constant or linear interpretation procedure. The stability analysis presented here is closely related to that for nonlinear stiff ordinary differential equations.
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stability
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Runge-Kutta methods
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nonlinear delay differential equations
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