Differential-algebraic equations of index 1 may have an arbitrarily high structural index

SIAM Journal on Scientific Computing

Volumn 21, Issue 6, 2000, Pages 1987-1990

  Reißig, Gunther ^a   Martinson, Wade S ^b   Barton, Paul I ^b  

^a INFINEON TECHNOLOGIES AG   (Germany)

^b USA   (United States)

Author keywords

[No Author keywords available]

Indexed keywords

DIFFERENTIAL ALGEBRAIC EQUATIONS; PANTELIDES ALGORITHM; STRUCTURED INDEX;

ALGORITHMS; DIFFERENTIAL EQUATIONS; DIFFERENTIATION (CALCULUS); ITERATIVE METHODS; LINEAR EQUATIONS;

NATURAL SCIENCES COMPUTING;

EID: 17744370292     PISSN: 10648275     EISSN: None     Source Type: Journal    
DOI: 10.1137/S1064827599353853     Document Type: Article

References (10)

1. K. E. BRENAN, S. L. CAMPBELL, AND L. R. PETZOLD, Numerical Solution of Initial-Value Problems in Differential-Algebraic Equations, Classics Appl. Math. 14, SIAM, Philadelphia, 1996.
2. F. E. CELLIER AND H. ELMQVIST, Automated formula manipulation supports object-oriented continuous-system modelling, IEEE Control System Magazine, 13 (1993), pp. 28-38.
3. L. O. CHUA, C. A. DESOER, AND E. S. KUH, Linear and Nonlinear Circuits, McGraw-Hill Ser. Electrical Engrg. Circuits and Systems, McGraw-Hill, New York, 1987.
4. I. S. DUFF AND C. W. GEAR, Computing the structural index, SIAM J. Algebraic Discrete Methods, 7 (1986), pp. 594-603.
5. W. F. FEEHERY AND P. I. BARTON, Dynamic optimization with state variable path constraints, Comput. Chem. Engrg., 22 (1998), pp. 1241-1256.
6. E. HAIRER AND G. WANNER, Solving Ordinary Differential Equations II: Stiff and Differential Algebraic Problems, Comput. Math. 14, Springer, Berlin, New York, 1996.
7. R. M. M. MATTHEIJ AND P. M. E. J. WIJCKMANS, Conditioning of Two Deck Differential Algebraic Equations, Tech. Rep. RANA 97-19, Eindhoven Univ. of Technology, Dept. Math. Computing Sci., The Netherlands, 1997.
8. C. C. PANTELIDES, The consistent initialization of differential-algebraic systems, SIAM J. Sci. Statist. Comput., 9 (1988), pp. 213-231.
9. G. SÖDERLIND, Remarks on the stability of high-index DAEs with respect to parametric perturbations, Computing, 49 (1992), pp. 303-314.
10. J. UNGER, A. KRONER, AND W. MARQUARDT, Structural analysis of differential-algebraic equation systems -theory and applications, Comput. Chem. Engrg., 19 (1995), pp. 867-882.