On the asymptotic stability properties of Runge-Kutta methods for delay differential equations |
| |
Authors: | Nicola Guglielmi |
| |
Institution: | (1) Dipartimento di Scienze Matematiche, Università di Trieste, Piazzale Europa 1, I-34100 Trieste, Italy; e-mail: guglielm@univ.trieste.it , IT |
| |
Abstract: | Summary. In this paper asymptotic stability properties of Runge-Kutta (R-K) methods for delay differential equations (DDEs) are considered
with respect to the following test equation: where and is a continuous real-valued function. In the last few years, stability properties of R-K methods applied to DDEs have been
studied by numerous authors who have considered regions of asymptotic stability for “any positive delay” (and thus independent
of the specific value of ).
In this work we direct attention at the dependence of stability regions on a fixed delay . In particular, natural Runge-Kutta methods for DDEs are extensively examined.
Received April 15, 1996 / Revised version received August 8, 1996 |
| |
Keywords: | Mathematics Subject Classification (1991):65L20 |
本文献已被 SpringerLink 等数据库收录! |
|