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 the Radau IA and Lobatto IIIC methods for delay differential equations
β Scribed by Toshiyuki Koto
- Publisher
- Springer-Verlag
- Year
- 1998
- Tongue
- English
- Weight
- 138 KB
- Volume
- 79
- Category
- Article
- ISSN
- 0029-599X
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π SIMILAR VOLUMES
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
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