REGULARIZATION OF INDEX-1 DIFFERENTIAL-ALGEBRAIC EQUATIONS WITH RANK-DEFICIENT CONSTRAINTS

Citation
Pk. Moore et al., REGULARIZATION OF INDEX-1 DIFFERENTIAL-ALGEBRAIC EQUATIONS WITH RANK-DEFICIENT CONSTRAINTS, Computers & mathematics with applications, 35(5), 1998, pp. 43-61
Citations number
27
Categorie Soggetti
Mathematics,"Computer Science Interdisciplinary Applications",Mathematics,"Computer Science Interdisciplinary Applications
ISSN journal
08981221
Volume
35
Issue
5
Year of publication
1998
Pages
43 - 61
Database
ISI
SICI code
0898-1221(1998)35:5<43:ROIDEW>2.0.ZU;2-H
Abstract
In this paper, we present a regularization for semiexplicit index-1 di fferential-algebraic equations with rank-deficient or singular constra ints. We consider those problems for which the solution is well define d through the singularity. We give convergence results for the regular ization applied to linear DAEs, and present some numerical experiments which illustrate its effectiveness.