Stability of Symmetric Runge--Kutta Methods for Neutral Delay Integro-Differential Equations

DOI10.1137/15M1054146zbMath1359.65312MaRDI QIDQ2967594

Yang Xu, Jingjun Zhao, Yan Fan

Publication date: 1 March 2017

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

zbMATH Keywords

numerical examplesroot locus techniqueGauss methodsdelay-dependent stabilityanalytical stability regionneutral delay integro-differential equationssymmetric Runge-Kutta methodsLobatto methods

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for integral equations (65R20) Stability theory for integral equations (45M10) Linear integral equations (45A05)

Related Items (5)

Delay-Dependent Stability of Linear Multistep Methods for Neutral Systems with Distributed Delays ⋮ Multistep Runge-Kutta methods for Volterra integro-differential equations ⋮ Asymptotic behavior of solutions to time fractional neutral functional differential equations ⋮ Delay-dependent stability of linear multistep methods for DAEs with multiple delays ⋮ Asymptotic stability of compact and linear \(\theta \)-methods for space fractional delay generalized diffusion equation

Uses Software

• RODAS

Cites Work

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