ITERATED DEFECT CORRECTION METHODS FOR SEMI-EXPLICIT
DIFFERENTIAL-ALGEBRAIC EQUATIONS

Sennur Somali (Uzuner)
Supervisor:Bulent Karasozen
June 1990, 68 Pages

 Abstract:The application of the iterated defect correction (IDeC) techniques to linear constant coefficient 

differential-algebraic equations (DAE's) of arbitrary index and nonlinear semi-explicit index one DAE's is 

analyzed. The convergence behavior of the defect corrections  based on the linearly implicit Euler method is 

studied using the perturbed asymptotic expansions of the global error. Various numerical results are presented 

and discussed. 

Key words: differential-abgebraic equations,defect correction methods, linearly implicit Euler method, 

asymptotic expansions.