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A stability property of A-stable collocation-based Runge-Kutta methods for neutral delay differential equations

✍ Scribed by Toshiyuki Koto

Publisher
Springer Netherlands
Year
1996
Tongue
English
Weight
195 KB
Volume
36
Category
Article
ISSN
0006-3835

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πŸ“œ SIMILAR VOLUMES

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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

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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