Stability of Runge-Kutta methods for delay differential systems with multiple delays
β Scribed by Hu, G-D
- Book ID
- 121757512
- Publisher
- Oxford University Press
- Year
- 1999
- Tongue
- English
- Weight
- 231 KB
- Volume
- 19
- Category
- Article
- ISSN
- 0272-4979
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π SIMILAR VOLUMES
The GPG-stability of Runge-Kutta methods for the numerical solutions of the systems of delay differential equations is considered. The stability behaviour of implicit Runge-Kutta methods (IRK) is analyzed for the solution of the system of linear test equations with multiple delay terms. After an est
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
A sufficient condition of stability of exponential Runge-Kutta methods for delay differential equations is obtained. Furthermore, a relationship between P-stability and GP-stability is established. It is proved that the numerical methods can preserve the analytical stability for a class of test prob