Geodesic
Preservation of stability type of difference schemes when solving stiff differential algebraic equations
Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 14 (2011) no. 4, pp. 443-456.

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Implicit methods applied to the numerical solution of systems of ordinary differential equations (ODEs) with an identically singular matrix multiplying the derivative of the sought-for vector-function are considered. The effects produced by losing $L$-stability of a classical implicit Euler scheme when solving such stiff systems are discussed. 
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V. F. Chistyakov. Preservation of stability type of difference schemes when solving stiff differential algebraic equations. Sibirskij žurnal vyčislitelʹnoj matematiki, Tome 14 (2011) no. 4, pp. 443-456. http://geodesic.mathdoc.fr/item/SJVM_2011_14_4_a7/

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