Convergence analysis of Runge-Kutta methods for a class of retarded differential algebraic systems

DOI10.1016/S0252-9602(10)60023-9zbMath1224.65189OpenAlexW2084269403MaRDI QIDQ622536

Feiyan Xiao, Cheng-Jian Zhang

Publication date: 5 February 2011

Published in: Acta Mathematica Scientia. Series B. (English Edition) (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0252-9602(10)60023-9

zbMATH Keywords

convergencenumerical exampleLagrange interpolationRunge-Kutta methodscomputational effectivenessretarded differential algebraic systemstime-variable delay

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Stability and convergence of numerical methods for ordinary differential equations (65L20) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Numerical methods for differential-algebraic equations (65L80) Numerical methods for functional-differential equations (65L03)

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