Convergence Analysis of the Solution of Retarded and Neutral Delay Differential Equations by Continuous Numerical Methods

DOI10.1137/S0036142996302049zbMath0914.65084OpenAlexW2017726368MaRDI QIDQ4389141

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Publication date: 11 May 1998

Published in: SIAM Journal on Numerical Analysis (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1137/s0036142996302049

zbMATH Keywords

convergenceneutral equationsdelay differential equationsdefect controlcontinuous Runge-Kutta methodsdefect error control

Mathematics Subject Classification ID

Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06) Neutral functional-differential equations (34K40) General theory of functional-differential equations (34K05) Error bounds for numerical methods for ordinary differential equations (65L70)

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