Algorithms for the location of discontinuities in dynamic simulation problems

Abstract Dynamic simulation problems in the chemical engineering industry often involve computing the solution to large sparse stiff systems of index-one or -two differential-algebraic equations (Gear and Petzold, Siam J. Numer. Anal. 21, 716–728, 1984) with frequent discontinuities in the solution. This paper is concerned with new algorithms that are needed to handle the location of these discontinuities accurately and efficiently. The algorithms are implemented using the SPRINT (Berzins et al. Proc. 3rd Euro. Conf. for Maths in Industry, 1988a) software.

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