Title of article
Nonlinear stability of general linear methods for neutral delay differential equations
Author/Authors
Wang، نويسنده , , Wansheng and Li، نويسنده , , Shou-Fu and Su، نويسنده , , Kai، نويسنده ,
Issue Information
روزنامه با شماره پیاپی سال 2009
Pages
10
From page
592
To page
601
Abstract
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 G S ( p ) -stability, G A S ( p ) -stability and weak G A S ( p ) -stability are introduced. These stability properties for ( k , p , 0 ) -algebraically stable general linear methods (GLMs) are further investigated. Some extant results are unified.
Keywords
Nonlinear neutral delay differential equations , General linear methods , Algebraic stability , numerical stability
Journal title
Journal of Computational and Applied Mathematics
Serial Year
2009
Journal title
Journal of Computational and Applied Mathematics
Record number
1554825
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