Pantelides algorithm: Difference between revisions

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'''Pantelides algorithm''' gives a systematic method for reducing high-index systems of [[Differential algebraic equation|differential-algebraic equations]] to lower index, by selectively adding differentiated forms of the equations already present in the system.<ref>C Pantelides, [http://dx.doi.org/10.1137/0909014 The Consistent Initialization of Differential-Algebraic Systems], SIAM J. Sci. and Stat. Comput. Volume 9, Issue 2, pp.&nbsp;213–231 (March 1988) (the original paper where the algorithm is described)</ref><ref>Francois Cellier, ''[http://www.ece.arizona.edu/~cellier/ece449_lecture.html Lecture notes about Pantelides algorithm]''</ref><ref>John Pye, ''[http://jpye.dyndns.org/pantelides/ Pantelides Algorithm in PHP]'' (source code in [[PHP]] language)</ref> It is possible for the algorithm to fail in some instances.

Pantelides algorithm is implemented in several significant equation-based simulation programs such as gPROMS, Modelica and EMSO.<ref>Peter A. Fritzson, ''Principles of Object-Oriented Modeling and Simulation with Modelica 2.1'', Wiley, ISBN 0471471631</ref><ref>R de P. Soares and A R. Secchi, 2005, ''Direct initialisation and solution of high-index DAE systems'', Computer Aided Chemical Engineering '''20''', doi:10.1016/S1570-7946(05)80148-8.</ref><ref>[http://www.enq.ufrgs.br/trac/alsoc/wiki/EMSO EMSO] a free-to-use closed-source simulator/equation solver that includes implementation for the Pantelides algorithm.</ref>

== Further reading ==