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Stability and error analysis of one-leg methods for nonlinear delay differential equations

✍ Scribed by Chengming Huang; Shoufu Li; Hongyuan Fu; Guangnan Chen


Publisher
Elsevier Science
Year
1999
Tongue
English
Weight
699 KB
Volume
103
Category
Article
ISSN
0377-0427

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πŸ“œ SIMILAR VOLUMES


Regularity properties of one-leg methods
✍ Ai-Guo Xiao; Yi-Fa Tang πŸ“‚ Article πŸ“… 2001 πŸ› Elsevier Science 🌐 English βš– 541 KB

The main purpose of this paper is to investigate the asymptotic states of one-leg methods for multidelay differential equations. In particular, the existence of spurious steady solutions and period-2 solutions in constant or variable timestep is studied, and the concepts of R[1]-regularity and R[2]-

Nonlinear stability of Runge–Kutta metho
✍ Wan-Sheng Wang; Shou-Fu Li; Kai Su πŸ“‚ Article πŸ“… 2008 πŸ› Elsevier Science 🌐 English βš– 277 KB

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