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Stability of Runge-Kutta methods for neutral delay differential equations - MaRDI portal

Stability of Runge-Kutta methods for neutral delay differential equations (Q1723171)

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scientific article; zbMATH DE number 7025220
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Stability of Runge-Kutta methods for neutral delay differential equations
scientific article; zbMATH DE number 7025220

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    Stability of Runge-Kutta methods for neutral delay differential equations (English)
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    19 February 2019
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    Summary: This paper is concerned with the numerical stability of a class of nonlinear neutral delay differential equations. The numerical stability results are obtained for \((k, l)\)-algebraically stable Runge-Kutta methods when they are applied to this type of problem. Numerical examples are given to confirm our theoretical results.
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