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One-step and extrapolation methods for differential-algebraic systems (1987)

Deuflhard, P. ; Hairer, E. ; Zugck, J.

Springer

Numerische Mathematik 51 (1987), S. 501-516

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ISSN: 0945-3245

Keywords: AMS(MOS): 65L05 ; CR: G1.7

Source: Springer Online Journal Archives 1860-2000

Topics: Mathematics

Notes: Summary 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.

Type of Medium: Electronic Resource

URL: http://dx.doi.org/10.1007/BF01400352

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