Geodesic
On the stability of an implicit difference scheme for a linear differential-algebraic system of partial differential equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 4, pp. 707-717 
S. V. Gaǐdomak. On the stability of an implicit difference scheme for a linear differential-algebraic system of partial differential equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 4, pp. 707-717. http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_4_a8/
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     title = {On the stability of an implicit difference scheme for a linear differential-algebraic system of partial differential equations},
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Voir la notice de l'article provenant de la source Math-Net.Ru

An implicit difference scheme is considered for approximating the initial-boundary value problem for a linear differential-algebraic system of partial differential equations with variable matrix coefficients of special structure. The conditional and asymptotic stability of the difference scheme with respect to the initial and boundary conditions and the right-hand side is proved.

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