On the stability of Runge-Kutta methods for delay integral equations.
R. Vermiglio (1992)
Numerische Mathematik
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R. Vermiglio (1992)
Numerische Mathematik
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Guang-Da Hu (2018)
Kybernetika
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In this paper, we are concerned with stability of numerical methods for linear neutral systems with multiple delays. Delay-dependent stability of Runge-Kutta methods is investigated, i. e., for delay-dependently stable systems, we ask what conditions must be imposed on the Runge-Kutta methods in order that the numerical solutions display stability property analogous to that displayed by the exact solutions. By means of Lagrange interpolation, Runge-Kutta methods can be applied to neutral...
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