Order stars and stability for delay differential equations (Q1805841)

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scientific article; zbMATH DE number 1355438
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Order stars and stability for delay differential equations
scientific article; zbMATH DE number 1355438

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    Order stars and stability for delay differential equations (English)
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    31 October 1999
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    The authors study the \(\tau(0)\)-stability of symmetric Runge-Kutta methods of delay differential equations \(y'(t)= ay(t)+ by(t-1)\) with the help of order stars. They prove that the Gauss methods all and the Radau methods for \(s=2\) satisfy this property.
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    \(\tau(0)\)-stability
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    Runge-Kutta methods
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    delay differential equations
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    order stars
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    Gauss methods
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    Radau methods
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