Sensitivity of solutions of linear DAE to perturbations of the system matrices

R.M.M. Mattheij, P.M.E.J. Wijckmans

Onderzoeksoutput: Bijdrage aan tijdschriftTijdschriftartikelAcademicpeer review

6 Citaten (Scopus)

Samenvatting

This paper studies the effect of perturbations in the system matrices of linear Differential Algebraic Equations (DAE) onto the solutions. It turns out that these may result in a more complicated perturbation pattern for higher index problems than in the case for (standard) additive perturbations. We give an analysis here for linear index-1 and index-2 problems, which, however, has clear ramifications in nonlinear problems (e.g., via the Newton process). This analysis is sustained by a number of examples.
Originele taal-2Engels
Pagina's (van-tot)159-171
Aantal pagina's13
TijdschriftNumerical Algorithms
Volume19
Nummer van het tijdschrift1-4
DOI's
StatusGepubliceerd - 1998

Vingerafdruk Duik in de onderzoeksthema's van 'Sensitivity of solutions of linear DAE to perturbations of the system matrices'. Samen vormen ze een unieke vingerafdruk.

Citeer dit