Stability of explicit and diagonal implicit Runge-Kutta methods for nonlinear Volterra functional differential equations in Banach spaces

DOI10.1016/J.AMC.2006.06.026zbMath1116.65097OpenAlexW2073595201MaRDI QIDQ864740

Yuexin Yu, Liping Wen, Shou-fu Li

Publication date: 13 February 2007

Published in: Applied Mathematics and Computation (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.amc.2006.06.026

zbMATH Keywords

Banach spacesinitial value problemsStabilityexplicit and diagonal implicit Runge-Kutta methodsnonlinear Volterra functional differential equations

Mathematics Subject Classification ID

Nonlinear differential equations in abstract spaces (34G20) Functional-differential equations in abstract spaces (34K30) Stability and convergence of numerical methods for ordinary differential equations (65L20) Numerical methods for initial value problems involving ordinary differential equations (65L05) Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations (65L06)

Related Items (2)

Asymptotic stability of solution to nonlinear neutral and Volterra functional differential equations in Banach spaces ⋮ Stability and asymptotic stability of \(\theta \)-methods for nonlinear stiff Volterra functional differential equations in Banach spaces

Cites Work

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