๐”– Bobbio Scriptorium
โœฆ   LIBER   โœฆ

Linear stability of general linear methods for systems of neutral delay differential equations

โœ Scribed by Chengming Huang; Qianshun Chang


Publisher
Elsevier Science
Year
2001
Tongue
English
Weight
341 KB
Volume
14
Category
Article
ISSN
0893-9659

No coin nor oath required. For personal study only.

โœฆ Synopsis


This paper is concerned with the numerical solution of delay differential equations (DDEs).

We focus on the stability of general linear methods for systems of neutral DDEs with multiple delays. A type of interpolation procedure is considered for general linear methods. Linear stability properties of general linear methods with this interpolation procedure are investigated. Many extant results are unified.


๐Ÿ“œ SIMILAR VOLUMES


Nonlinear stability of general linear me
โœ Wan-Sheng Wang; Shou-Fu Li; Kai Su ๐Ÿ“‚ Article ๐Ÿ“… 2009 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 642 KB

This paper is concerned with the numerical solution of neutral delay differential equations (NDDEs). We focus on the stability of general linear methods with piecewise linear interpolation. The new concepts of GS(p)-stability, GAS(p)-stability and weak GAS(p)stability are introduced. These stability

Stability of linear multistep methods fo
โœ Chengming Huang ๐Ÿ“‚ Article ๐Ÿ“… 2008 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 292 KB

This paper is concerned with the numerical solution of delay integro-differential equations. The adaptation of linear multistep methods is considered. The emphasis is on the linear stability of numerical methods. It is shown that every A-stable, strongly 0-stable linear multistep method of Pouzet ty