Adams methods for neutral functional differential equations
Copyright policy )Adams methods for neutral functional differential equations
In this paper Adams type methods for the special case of neutral functional differential equations are examined. It is shown thatk-step methods maintain orderk+1 for sufficiently small step size in a sufficiently smooth situation. However, when these methods are applied to an equation with a "non-smooth" solution the order of convergence is only one. Some computational considerations are given and numerical experiments are presented.
- DigiZeitschriften Germany
- University of South Carolina System United States
- University of South Carolina United States
non-smooth solution, General theory of functional-differential equations, Numerical methods for initial value problems involving ordinary differential equations, Article, order of convergence, 510.mathematics, neutral functional differential equation, k-step methods, Adams type methods, numerical experiments
non-smooth solution, General theory of functional-differential equations, Numerical methods for initial value problems involving ordinary differential equations, Article, order of convergence, 510.mathematics, neutral functional differential equation, k-step methods, Adams type methods, numerical experiments
citations 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).20 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).Top 10% 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!