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Estimation of numerically stable step-size for neutral delay-differential equations via spectral radius - MaRDI portal

Estimation of numerically stable step-size for neutral delay-differential equations via spectral radius (Q676156)

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scientific article; zbMATH DE number 991981
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English
Estimation of numerically stable step-size for neutral delay-differential equations via spectral radius
scientific article; zbMATH DE number 991981

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    Estimation of numerically stable step-size for neutral delay-differential equations via spectral radius (English)
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    7 July 1997
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    The authors derive estimates of numerical stable stepsize methods for the numerical integration of neutral delay-differential equations. Stability regions of both linear multistep methods and explicit Runge-Kutta methods are presented. This paper aims to extend the study of \textit{G. D. Hu} and \textit{T. Mitsui} [BIT 35, No. 4, 504-515 (1995; Zbl 0841.65062)] further.
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    stability
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    mesh generation
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    neutral delay-differential equations
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    linear multistep methods
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    explicit Runge-Kutta methods
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