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Scientific article
English

Convergence of a class of runge-kutta methods for differential-algebraic systems of index 2

ContributorsJay, Laurent
Published inBIT, vol. 33, no. 1, p. 137-150
Publication date1993
Abstract

This paper deals with convergence results for a special class of Runge-Kutta (RK) methods as applied to differential-algebraic equations (DAE's) of index 2 in Hessenberg form. The considered methods are stiffly accurate, with a singular RK matrix whose first row vanishes, but which possesses a nonsingular submatrix. Under certain hypotheses, global superconvergence for the differential components is shown, so that a conjecture related to the Lobatto IIIA schemes is proved. Extensions of the presented results to projected RK methods are discussed. Some numerical examples in line with the theoretical results are included.

Citation (ISO format)
JAY, Laurent. Convergence of a class of runge-kutta methods for differential-algebraic systems of index 2. In: BIT, 1993, vol. 33, n° 1, p. 137–150. doi: 10.1007/BF01990349
Identifiers
ISSN of the journal0006-3835
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