NGPG-stability of linear multistep methods for systems of generalized neutral delay differential equations
Copyright policy )NGPG-stability of linear multistep methods for systems of generalized neutral delay differential equations
The author focus his attention on the numerical stability of numerical method for functional differential equations and discuss the stability analysis of the solutions of linear multistep methods applied to generalized neutral delay differential equations. After analyzing the stability behaviour of linear multistep methods for the solution of the generalized system of linear neutral test equations, the author gives the result that a linear multistep method is \(\text{NGP}_{\text{G}}\)-stable if and only if it is A-stable.
- Shanghai Normal University China (People's Republic of)
- Shanghai Normal University China (People's Republic of)
Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, asymptotic stability, functional differential equations, numerical stability, linear multistep methods, system, Numerical approximation of solutions of functional-differential equations, Stability and convergence of numerical methods for ordinary differential equations, Neutral functional-differential equations, neutral delay differential equations
Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, asymptotic stability, functional differential equations, numerical stability, linear multistep methods, system, Numerical approximation of solutions of functional-differential equations, Stability and convergence of numerical methods for ordinary differential equations, Neutral functional-differential equations, neutral delay differential equations
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).0 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!