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
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.