Pantelides algorithm explained

Pantelides algorithm in mathematics is a systematic method for reducing high-index systems of differential-algebraic equations to lower index. This is accomplished by selectively adding differentiated forms of the equations already present in the system.[1] [2] [3] 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.[4] [5] [6]

Notes and References

  1. 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 the algorithm is described)
  2. Web site: Francois. Cellier. https://web.archive.org/web/20060909005029/http://www.ece.arizona.edu/~cellier/ece449_ppt6.pdf. 2006-09-09. The Structural Singularity Removal Algorithm by Pantelides. dead. ECE 449/549: Lecture Notes. Fall 2003.
  3. John Pye, Pantelides Algorithm in PHP (source code in PHP language)
  4. Peter A. Fritzson, Principles of Object-Oriented Modeling and Simulation with Modelica 2.1, Wiley,
  5. R de P. Soares and A R. Secchi, 2005, Direct initialisation and solution of high-index DAE systems, Computer Aided Chemical Engineering 20, .
  6. http://www.enq.ufrgs.br/trac/alsoc/wiki/EMSO EMSO

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