GP-stability of Rosenbrock methods for system of delay differential equation

DOI10.1007/BF02438298zbMath1102.65086WikidataQ115392178 ScholiaQ115392178MaRDI QIDQ2505302

Yuhao Cong, Jianing Cai, Jia-Xiang Xiang

Publication date: 4 October 2006

Published in: Applied Mathematics and Mechanics. (English Edition) (Search for Journal in Brave)

zbMATH Keywords

stabilitynumerical exampledelay differential equations

Mathematics Subject Classification ID

Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Cites Work

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• Stability analysis of one-step methods for neutral delay-differential equations
• A new interpolation procedure for adapting Runge-Kutta methods to delay differential equations
• Stability and error analysis of one-leg methods for nonlinear delay differential equations
• A stability property of \(A\)-stable natural Runge-Kutta methods for systems of delay differential equations
• Nonlinear stability and D-convergence of Runge-Kutta methods for delay differential equations
• An \(L\)-stable Rosenbrock method for step-by-step time integration in structural dynamics.
• Stability analysis of numerical methods for systems of neutral delay-differential equations
• The Stability of the θ-methods in the Numerical Solution of Delay Differential Equations
• Special stability problems for functional differential equations

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