, Volume 51, Issue 5, pp 501-516

One-step and extrapolation methods for differential-algebraic systems

Rent the article at a discount

Rent now

* Final gross prices may vary according to local VAT.

Get Access


The paper analyzes one-step methods for differential-algebraic equations (DAE) in terms of convergence order. In view of extrapolation methods, certain perturbed asymptotic expansions are shown to hold. For the special DAE extrapolation solver based on the semi-implicit Euler discretization, the perturbed order pattern of the extrapolation tableau is derived in detail. The theoretical results lead to modifications of the known code. The efficiency of the modifications is illustrated by numerical comparisons over critical examples mainly from chemical combustion.