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  Differential algebraic equations : a new look at the index (1994) [7 citations — 0 self]

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by G. Le Vey, G. Le Vey, Projet Aladin
Publication interne 808, IRISA, Campus de Beaulieu, 35042 Rennes
ftp://ftp.inria.fr/INRIA/publication/publi-ps-gz/RR/RR-2239.ps.gz
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Citations

269 Applications of Lie Groups to Differential Equations – OLVER - 1986
90 Numerical solution of initial-value problems in di erential-algebraic equation (2nd ed – Brenan, Campbell, et al. - 1995
44 The Consistent Initialization of Differential-Algebraic Systems – Pantelides - 1988
24 Differential/algebraic equations are not ODEs – Petzold - 1982
22 The simultaneous numerical solution of differential-algebraic equations – Gear - 1971
22 Index reduction in differential-algebraic equations using dummy derivatives – Mattsson, Söderlind - 1993
16 Differential-algebraic systems as differential equations on manifolds – Rheinboldt - 1984
14 methods for the solution of differential/algebraic systems – Gear, Petzold, et al. - 1984
13 Approximation methods for the consistent initialization of differential-algebraic equations – Leimkuhler, Petzold, et al. - 1991
9 Constrained equations; a study of implicit differential equations and their discontinuous solutions – Takens - 1976
8 Partial Differential Control Theory – Pommaret - 2001
7 The numerical solution of differential/algebraic equations by Runge-Kutta methods – Hairer, Lubich, et al. - 1989
6 Differential Galois Theory – Pommaret - 1983
6 Lie Pseudogroups and Mechanics – Pommaret - 1988
4 Computing the structural index – Duff, Gear - 1986
3 Differential-algebraic index transformations – Gear - 1988
1 Prolongations of linear partial differential equations – Goldschmidt - 1968
1 Numerical methods in bifurcation problems. Tata institute of fundamental research – Keller - 1987
1 On initial-value problems in differential/algebraic equations and their numerical treatment – Marz - 1985
1 Stucture at infinity revisited – Pommaret - 1993