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ASYMPTOTIC STABILITY OF LINEAR NEUTRAL DELAY DIFFERENTIAL-ALGEBRAIC EQUATIONS AND LINEAR MULTISTEP METHODS.
- Source :
- SIAM Journal on Numerical Analysis; 2011, Vol. 49 Issue 1/2, p608-618, 11p
- Publication Year :
- 2011
-
Abstract
- This paper is concerned with delay-independent asymptotic stability of linear neutral delay differential-algebraic equations and linear multistep methods. We first give some sufficient conditions for the delay-independent asymptotic stability of these equations. Then we study and derive a sufficient and necessary condition for the delay-independent asymptotic stability of numerical solutions obtained by linear multistep methods combined with Lagrange interpolation. Finally, one numerical example is performed to confirm our theoretical result. [ABSTRACT FROM AUTHOR]
Details
- Language :
- English
- ISSN :
- 00361429
- Volume :
- 49
- Issue :
- 1/2
- Database :
- Complementary Index
- Journal :
- SIAM Journal on Numerical Analysis
- Publication Type :
- Academic Journal
- Accession number :
- 65055580
- Full Text :
- https://doi.org/10.1137/10079820X