NGP(\(\alpha\))-stability of general linear methods for NDDEs

DOI10.1016/S0898-1221(04)90090-9zbMath1073.65075OpenAlexW2062225828MaRDI QIDQ1767828

Cheng-Jian Zhang

Publication date: 8 March 2005

Published in: Computers \& Mathematics with Applications (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/s0898-1221(04)90090-9

zbMATH Keywords

asymptotic behaviorneutral delay differential equationsGeneral linear methodsNGP(\(\alpha\))-stability

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) Neutral functional-differential equations (34K40)

Related Items (4)

An extension of numerical stability criteria for linear neutral multidelay-integro-differential equations ⋮ Numerical approximation to semi-linear stiff neutral equations via implicit-explicit general linear methods ⋮ Nonlinear stability of general linear methods for neutral delay differential equations ⋮ Asymptotic stability of general linear methods for systems of linear neutral delay differential-algebraic equations

Cites Work

• Unnamed Item
• P-stable and P[\(\alpha\),\(\beta\)-stable integration/interpolation methods in the solution of retarded differential-difference equations]
• Inertia characteristics of self-adjoint matrix polynomials
• Stability analysis of one-step methods for neutral delay-differential equations
• The NGP-stability of Runge-Kutta methods for systems of neutral delay differential equations
• The asymptotic stability of theoretical and numerical solutions for systems of neutral multidelay-differential equations
• A stability property of \(A\)-stable natural Runge-Kutta methods for systems of delay differential equations
• The asymptotic stability of one-parameter methods for neutral differential equations
• Stability analysis of numerical methods for systems of neutral delay-differential equations
• Stability analysis of LMMs for systems of neutral multidelay-differential equations
• Stability analysis of Runge-Kutta methods for systems of delay differential equations
• The Stability of the θ-methods in the Numerical Solution of Delay Differential Equations
• Non-linear stability of a general class of differential equation methods
• Special stability problems for functional differential equations
• A special stability problem for linear multistep methods

This page was built for publication: NGP(\(\alpha\))-stability of general linear methods for NDDEs