Highly Influenced

# Differential-Algebraic Equations of Index 1 May Have an Arbitrarily High Structural Index

@article{Reissig2000DifferentialAlgebraicEO, title={Differential-Algebraic Equations of Index 1 May Have an Arbitrarily High Structural Index}, author={Gunther Reissig and Wade S. Martinson and Paul I. Barton}, journal={SIAM J. Scientific Computing}, year={2000}, volume={21}, pages={1987-1990} }

- Published 2000 in SIAM J. Scientific Computing
DOI:10.1137/S1064827599353853

It is shown that the structural index of a linear differential–algebraic equation (DAE) with constant coefficients and with index 1 may be arbitrarily high, contrary to a previous result from the literature. This demonstrates that Pantelides’ algorithm applied to DAEs of index 1 may perform an arbitrarily high number of iterations and differentiations.