GP-Stability of two-step implicit runge-kutta methods for delay differential equations

DOI10.1080/00207160008804939zbMath0955.65053OpenAlexW2000942513MaRDI QIDQ4954038

Taketomo Mitsui, Biao Yang, Nobuyuki Esaki

Publication date: 5 March 2001

Published in: International Journal of Computer Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1080/00207160008804939

zbMATH Keywords

stability\(A\)-stabilitysystems of delay differential equationsGP-stabilitytwo-step implicit Runge-Kutta methods

Mathematics Subject Classification ID

Cites Work

• Stability analysis of numerical methods for delay differential equations
• A new interpolation procedure for adapting Runge-Kutta methods to delay differential equations
• Theory of functional differential equations. 2nd ed
• A stability property of \(A\)-stable natural Runge-Kutta methods for systems of delay differential equations
• The Stability of the θ-methods in the Numerical Solution of Delay Differential Equations

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