𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Delay-dependent stability analysis of multistep methods for delay differential equations

✍ Scribed by Cheng-ming Huang; Yang-zi Hu; Hong-jiong Tian


Publisher
Institute of Applied Mathematics, Chinese Academy of Sciences and Chinese Mathematical Society
Year
2009
Tongue
English
Weight
308 KB
Volume
25
Category
Article
ISSN
0168-9673

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Stability of linear multistep methods fo
✍ Chengming Huang πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 292 KB

This paper is concerned with the numerical solution of delay integro-differential equations. The adaptation of linear multistep methods is considered. The emphasis is on the linear stability of numerical methods. It is shown that every A-stable, strongly 0-stable linear multistep method of Pouzet ty

Variable multistep methods for delay dif
✍ J.A. MartΓ­n; O. GarcΓ­a πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 919 KB

this paper, variable stepsize multistep methods for delay differential equations of the type y(t) = f(t,?l(t),y(t -r)) are proposed. Error bounds for the global discretization error of variable stepsize multistep methods for delay differential equations are explicitly computed. It is proved that a

Variable multistep methods for higher-or
✍ J.A. MartΓ­n; O. GarcΓ­a πŸ“‚ Article πŸ“… 2002 πŸ› Elsevier Science 🌐 English βš– 865 KB

In this paper, variable stepsize multistep methods for higher-order delay differential equations of the type y(')(t) = f(t,y(t),y(t -r)) are proposed. Explicit error bounds for the global discretization error are given. It is proved that a variable multistep method which is a perturbation of strongl