Equilibrium states of adaptive algorithms for delay differential equations (Q1899949)

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scientific article; zbMATH DE number 804733
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Equilibrium states of adaptive algorithms for delay differential equations
scientific article; zbMATH DE number 804733

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    Equilibrium states of adaptive algorithms for delay differential equations (English)
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    11 October 1995
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    The delay differential equation \(y'= F(t, y(t), y(t- \tau))\), \(y(t)= \varphi (t)\) for \(t\in [- \tau, 0]\), \(\tau>0\) is solved by the use of Runge-Kutta methods. Special results are obtained for low order methods coupled with either linear or cubic interpolants.
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    adaptive algorithms
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    error control
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    delay differential equation
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    Runge- Kutta methods
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    low order methods
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