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Stepsize restrictions for nonlinear stability properties of neutral delay differential equations - MaRDI portal

Stepsize restrictions for nonlinear stability properties of neutral delay differential equations (Q1723805)

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scientific article; zbMATH DE number 7022124
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Stepsize restrictions for nonlinear stability properties of neutral delay differential equations
scientific article; zbMATH DE number 7022124

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    Stepsize restrictions for nonlinear stability properties of neutral delay differential equations (English)
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    14 February 2019
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    Summary: The present paper is concerned with the relationship between stepsize restriction and nonlinear stability of Runge-Kutta methods for delay differential equations. We obtain a special stepsize condition guaranteeing global and asymptotical stability properties of numerical methods. Some confirmations of the conditions on Runge-Kutta methods are illustrated at last.
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