Classical theory of Runge-Kutta methods for Volterra functional differential equations

DOI10.1016/j.amc.2013.12.090zbMath1410.65263OpenAlexW2060258495MaRDI QIDQ1644034

Shou-fu Li

Publication date: 21 June 2018

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

Full work available at URL: https://doi.org/10.1016/j.amc.2013.12.090

zbMATH Keywords

convergencenumerical stabilityRunge-Kutta methodsVolterra functional differential equationscanonical interpolation operatornon-stiff non-linear initial value problems

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)

Related Items (6)

$B$-Convergence Theory of Runge--Kutta Methods for Stiff Volterra Functional Differential Equations with Infinite Integration Interval ⋮ Classical theory of linear multistep methods for Volterra functional differential equations ⋮ Canonical Euler splitting method for parabolic partial functional differential algebraic equations ⋮ Solving linear Volterra integral equations with a piecewise linear maximum entropy method ⋮ Canonical Euler splitting method for nonlinear composite stiff evolution equations ⋮ Stability and Convergence of the Canonical Euler Splitting Method for Nonlinear Composite Stiff Functional Differential-Algebraic Equations

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