Nonlinear stability of one-leg methods for delay differential equations of neutral type
Copyright policy )Nonlinear stability of one-leg methods for delay differential equations of neutral type
The paper explores one-leg methods for neutral delay differential equations and considers aspects of stability. New stability concepts (GS-, GAS- and weak GS-stablility) are introduced and results are given that relate these concepts to already known concepts such as A-stability. The paper is structured as follows. There is a preliminary section that provides an introduction and background information, followed by a section that defines the problem class, and an introduction to the numerical methods to be considered. The main sections of the paper are a section giving stability theory, and a section giving the results of some numerical experiments.
- Changsha University of Science and Technology China (People's Republic of)
- Xiangtan University China (People's Republic of)
Multistep, Runge-Kutta and extrapolation methods for ordinary differential equations, one-leg methods, nonlinear stability, Numerical approximation of solutions of functional-differential equations, numerical experiments, 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, one-leg methods, nonlinear stability, Numerical approximation of solutions of functional-differential equations, numerical experiments, 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).39 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.Top 10% influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Top 10% impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Top 10%
Citations provided by BIP!Popularity provided by BIP!