𝔖 Bobbio Scriptorium
✦   LIBER   ✦

On the stability of adaptations of Runge-Kutta methods to systems of delay differential equations

✍ Scribed by K.J. in 't Hout


Book ID
108415894
Publisher
Elsevier Science
Year
1996
Tongue
English
Weight
749 KB
Volume
22
Category
Article
ISSN
0168-9274

No coin nor oath required. For personal study only.


πŸ“œ SIMILAR VOLUMES


Stability of IMEX Runge–Kutta methods fo
✍ Toshiyuki Koto πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 353 KB

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

Nonlinear stability of Runge-Kutta metho
✍ Chengjian Zhang; Geng Sun πŸ“‚ Article πŸ“… 2004 πŸ› Elsevier Science 🌐 English βš– 485 KB

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

New stability results for Runge–Kutta me
✍ Guido Van den Heuvel πŸ“‚ Article πŸ“… 2000 πŸ› Elsevier Science 🌐 English βš– 145 KB

By using the Kreiss resolvent condition we establish upper bounds for the growth of errors in Runge-Kutta schemes for the numerical solution of delay differential equations. We consider application of such a scheme to the well-known linear test equation Z (t) = Ξ»Z(t) + Β΅Z(tΟ„ ), and prove that at any

Stability analysis of exponential Runge–
✍ Y. Xu; J.J. Zhao; Z.N. Sui πŸ“‚ Article πŸ“… 2011 πŸ› Elsevier Science 🌐 English βš– 625 KB

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