This paper deals with stability properties of Runge-Kutta methods for the initial value problem in nonlinear neutral delay differential equations The new concepts of GS(l)-stability, GAS(l)-stability and Weak GAS(l)-stability are introduced, and it is shown that (k, l)algebraically stable Runge-Kut
Asymptotic stability analysis of Runge-Kutta methods for nonlinear systems of delay differential equations
β Scribed by M. Zennaro
- Publisher
- Springer-Verlag
- Year
- 1997
- Tongue
- English
- Weight
- 141 KB
- Volume
- 77
- Category
- Article
- ISSN
- 0029-599X
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π SIMILAR VOLUMES
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
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