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
The stability of natural Runge-Kutta methods for nonlinear delay differential equations
β Scribed by Toshiyuki Koto
- Publisher
- Japan Society for Industrial and Applied Mathematics
- Year
- 1997
- Tongue
- English
- Weight
- 858 KB
- Volume
- 14
- Category
- Article
- ISSN
- 0916-7005
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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
In functional differential equations (FDEs), there is a class of infinite delay-differential equations (IDDEs) with proportional delays, which aries in many scientific fields such as electric mechanics, quantum mechanics, and optics. Ones have found that there exist very different mathematical chall