𝔖 Bobbio Scriptorium
✦   LIBER   ✦

Stability of the Radau IA and Lobatto IIIC methods for delay differential equations

✍ Scribed by Toshiyuki Koto


Publisher
Springer-Verlag
Year
1998
Tongue
English
Weight
138 KB
Volume
79
Category
Article
ISSN
0029-599X

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


The stability of radau IIA collocation p
✍ K.J. in 't Hout; B. Zubik-Kowal πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 680 KB

This paper deals with the stability of Runge-Kutta methods of collocation type adapted to the numerical solution of initial value problems for delay differential equations. In order to obtain the adaptation of these Runge-Kutta methods to delay equations, the interpolation procedure is considered th

Stability of IMEX Runge–Kutta methods fo
✍ Toshiyuki Koto πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 353 KB

Stability of IMEX (implicit-explicit) Runge-Kutta methods applied to delay differential equations (DDEs) is studied on the basis of the scalar test equation du/dt = u(t) + u(t -), where is a constant delay and , are complex parameters. More specifically, P-stability regions of the methods are define

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