SOLVING MORE GENERAL INDEX-2 DIFFERENTIAL-ALGEBRAIC EQUATIONS

Authors
MARZ R TISCHENDORF C
Citation
R. Marz et C. Tischendorf, SOLVING MORE GENERAL INDEX-2 DIFFERENTIAL-ALGEBRAIC EQUATIONS, Computers & mathematics with applications, 28(10-12), 1994, pp. 77-105
Citations number
20
Categorie Soggetti
Computer Sciences",Mathematics,"Computer Science Interdisciplinary Applications
Journal title
Computers & mathematics with applications → ACNP
ISSN journal
08981221
Volume
28
Issue
10-12
Year of publication
1994
Pages
77 - 105
Database
ISI
SICI code
0898-1221(1994)28:10-12<77:SMGIDE>2.0.ZU;2-I
Abstract
The paper deals with a class of quasilinear index-2 differential algeb raic equations, which covers both linear variable coefficient systems as well as Hessenberg form equations. Supposing low smoothness only, t he solvability of initial value problems is stated via classical analy tical techniques. For that class of differential algebraic equations, backward differentiation formulas and Runge-Kutta methods as well as p rojected versions are discussed with respect to feasibility, (in)stabi lity, convergence, and asymptotical behaviour.