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
Linear stability of general linear methods for systems of neutral delay differential equations
โ 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.
โฆ 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.
๐ SIMILAR VOLUMES
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
Step-by-step method