Geodesic
A numerical method for solving partial differential algebraic equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 6, pp. 946-957

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Linear systems of partial differential equations with constant coefficient matrices are considered. The matrices multiplying the derivatives of the sought vector function are assumed to be singular. The structure of solutions to such systems is examined. The numerical solution of initialboundary value problems for such equations by applying implicit difference schemes is discussed. 
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     author = {Nguyen Khac Diep and V. F. Chistyakov},
     title = {A numerical method for solving partial differential algebraic equations},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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     number = {6},
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     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_6_a8/}
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Nguyen Khac Diep; V. F. Chistyakov. A numerical method for solving partial differential algebraic equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 6, pp. 946-957. http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_6_a8/