A sufficient condition for GPN-stability for delay differential equations.
Lucio Torelli (1991)
Numerische Mathematik
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Displaying similar documents to “Stability analysis of numerical methods for delay differential equations.”
A sufficient condition for GPN-stability for delay differential equations.
Stability Analysis of One-Step Methods for Neutral Delay-Differential Equations.
Z. Jackiewicz, A. Bellen, M. Zennaro (1987/88)
Numerische Mathematik
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P-Stability Properties of Runge-Kutta Methods for Delay Differential Equations.
Marino Zennaro (1986)
Numerische Mathematik
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Delay-dependent stability of Runge-Kutta methods for linear neutral systems with multiple delays
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...
On the stability of Runge-Kutta methods for delay integral equations.
R. Vermiglio (1992)
Numerische Mathematik
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On the Asymptotic Stability of ...-Methods for Delay Differential Equations.
M. Calvo, T. Grande (1989)
Numerische Mathematik
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Numerical Solution of Delay Differential Equations by Uniform Corrections to an Implicit Runge-Kutta Method.
Marino Zennaro, Alfredo Bellen (1985)
Numerische Mathematik
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On partial stability for delay systems
C. Corduneanu (1975)
Annales Polonici Mathematici
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Delay-dependent stability of high-order neutral systems
Yanbin Zhao, Guang-Da Hu (2021)
Kybernetika
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In this note, we are concerned with delay-dependent stability of high-order delay systems of neutral type. A bound of unstable eigenvalues of the systems is derived by the spectral radius of a nonnegative matrix. The nonnegative matrix is related to the coefficient matrices. A stability criterion is presented which is a necessary and sufficient condition for the delay-dependent stability of the systems. Based on the criterion, a numerical algorithm is provided which avoids the computation...
Delay-dependent stability of linear multi-step methods for linear neutral systems
Guang-Da Hu, Lizhen Shao (2020)
Kybernetika
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In this paper, we are concerned with numerical methods for linear neutral systems with multiple delays. For delay-dependently stable neutral systems, we ask what conditions must be imposed on linear multi-step methods in order that the numerical solutions display stability property analogous to that displayed by the exact solutions. Combining with Lagrange interpolation, linear multi-step methods can be applied to the neutral systems. Utilizing the argument principle, a sufficient condition...
A Note on B-Stability of Runge-Kutta Methods.
M.N. Spijker, W.H. Hundsdorfer (1980/81)
Numerische Mathematik
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On delay-dependent stability for neutral delay-differential systems
Qing-Long Han (2001)
International Journal of Applied Mathematics and Computer Science
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This paper deals with the stability problem for a class of linear neutral delay-differential systems. The time delay is assumed constant and known. Delay-dependent criteria are derived. The criteria are given in the form of linear matrix inequalities which are easy to use when checking the stability of the systems considered. Numerical examples indicate significant improvements over some existing results.
On D-stability and B-stability.
M. van Veldhuizen (1983)
Numerische Mathematik
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