Pantelides algorithm

Pantelides algorithm gives a systematic method for reducing high-index systems of differential-algebraic equations to lower index, by selectively adding differentiated forms of the equations already present in the system. It is possible for the algorithm to fail in some instances.

See also

• C Pantelides, The Consistent Initialization of Differential-Algebraic Systems, SIAM J. Sci. and Stat. Comput. Volume 9, Issue 2, pp. 213-231 (March 1988) (the original paper where algorithm is described)
• Lecture notes by Francois Cellier
• An open-source implementation of Pantelides algorithm in the PHP language
• EMSO a free-to-use closed-source simulator/equation solver that includes implementation for the Pantelides algorithm.