Modeling, simulation, sensitivity analysis, and optimization of hybrid systems
ACM Transactions on Modeling and Computer Simulation (TOMACS)
Characterizing differential algebraic equationswithout the use of derivative arrays
Computers & Mathematics with Applications
A new algorithm for index determination in DAEs using algorithmic differentiation
Numerical Algorithms
On the efficient generation of taylor expansions for DAE solutions by automatic differentiation
PARA'04 Proceedings of the 7th international conference on Applied Parallel Computing: state of the Art in Scientific Computing
Projector based integration of DAEs with the Taylor series method using automatic differentiation
Journal of Computational and Applied Mathematics
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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.