An extension of numerical stability criteria for linear neutral multidelay-integro-differential equations

DOI10.1016/j.amc.2015.05.015zbMath1410.65247OpenAlexW571605588MaRDI QIDQ1664218

Jianwan Ding, Cheng-Jian Zhang

Publication date: 24 August 2018

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

Full work available at URL: https://doi.org/10.1016/j.amc.2015.05.015

zbMATH Keywords

asymptotical stabilitygeneral linear methodneutral multidelay-integro-differential equationcompound quadrature rule

Mathematics Subject Classification ID

Integro-ordinary differential equations (45J05) Numerical methods for initial value problems involving ordinary differential equations (65L05) Neutral functional-differential equations (34K40) Numerical investigation of stability of solutions to ordinary differential equations (65L07) Numerical methods for functional-differential equations (65L03)

Related Items (1)

Numerical approximation to semi-linear stiff neutral equations via implicit-explicit general linear methods

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Unnamed Item
• Convergence and stability of extended block boundary value methods for Volterra delay integro-differential equations
• Stability criteria for exact and discrete solutions of neutral multidelay-integro-differential equations
• Stability of linear multistep methods for delay integro-differential equations
• Stability of Runge-Kutta-Pouzet methods for Volterra integro-differential equations with delays
• Inertia characteristics of self-adjoint matrix polynomials
• Stability properties of a scheme for the approximate solution of a delay- integro-differential equation
• The asymptotic stability of theoretical and numerical solutions for systems of neutral multidelay-differential equations
• Introduction to functional differential equations
• Stability analysis of Volterra delay-integro-differential equations and their backward differentiation time discretization.
• Stability of Runge-Kutta methods for delay integro-differential equations
• NGP(\(\alpha\))-stability of general linear methods for NDDEs
• The \(A\)-stability of methods with Padé and generalized Padé stability functions
• Stability analysis of LMMs for systems of neutral multidelay-differential equations
• Stability analysis of extended block boundary value methods for linear neutral delay integro-differential equations

This page was built for publication: An extension of numerical stability criteria for linear neutral multidelay-integro-differential equations