On stability of Runge-Kutta methods for delay integral equations

DOI10.1007/BF01385526zbMath0723.65139MaRDI QIDQ756991

Rossana Vermiglio

Publication date: 1992

Published in: Numerische Mathematik (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/133638

zbMATH Keywords

asymptotic stabilitycollocation methodsRunge-Kutta methodsdelay integral equationsanalytic solutions

Mathematics Subject Classification ID

Numerical methods for integral equations (65R20) Asymptotics of solutions to integral equations (45M05) Stability theory for integral equations (45M10) Fredholm integral equations (45B05)

Related Items (15)

A Robust Hybrid Spectral Method for Nonlocal Problems with Weakly Singular Kernels ⋮ An \(hp\)-spectral collocation method for nonlinear Volterra functional integro-differential equations with delays ⋮ Collocation and continuous implicit Runge-Kutta methods for a class of delay Volterra integral equations ⋮ Numerical stability analysis of steady state solutions of integral equations with distributed delays ⋮ Strong convergence of the Euler-Maruyama method for nonlinear stochastic convolution Itô-Volterra integral equations with constant delay ⋮ Stability of \(\vartheta\)-methods for delay integro-differential equations. ⋮ A stable numerical method for Volterra integral equations with discontinuous kernel ⋮ Iterated Collocation Methods for Volterra Integral Equations with Delay Arguments ⋮ Legendre spectral-collocation method for Volterra integral equations with non-vanishing delay ⋮ An $hp$-spectral collocation method for nonlinear Volterra integral equations with vanishing variable delays ⋮ Some applications of continuous Runge-Kutta methods ⋮ On the test Volterra equations of the first kind in the integral models of developing systems ⋮ A convolution test equation for double delay integral equations ⋮ A hybrid spectral method for the nonlinear Volterra integral equations with weakly singular kernel and vanishing delays ⋮ Stability of Runge-Kutta methods for delay integro-differential equations

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