Good behavior with respect to the stiffness in the numerical integration of retarded functional differential equations (Q2927836)
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scientific article; zbMATH DE number 6365783
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Good behavior with respect to the stiffness in the numerical integration of retarded functional differential equations |
scientific article; zbMATH DE number 6365783 |
Statements
4 November 2014
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retarded functional differential equations
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global error
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stiffness
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Runge-Kutta methods
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numerical result
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Good behavior with respect to the stiffness in the numerical integration of retarded functional differential equations (English)
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This paper considers the behaviour of continuous Runge-Kutta methods for retarded functional differential equations (RFDEs). In particular, a global error relationship is obtained. This leads to the concept of good behaviour with respect to stiffness. A class of scalar semilinear RFDEs is then studied in this setting under the assumption of non-vanishing delays. This analysis is confirmed by some simple numerical results.
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