Geodesic
On first- and second-order difference schemes for differential-algebraic equations of index at most two
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 11, pp. 1909-1918

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Difference schemes of the Euler and trapezoidal types for the numerical solution of the initial-value problem for linear differential-algebraic equations are examined. These schemes are analyzed for model examples, and their superiority over the familiar first- and second-order implicit methods is shown. Conditions for the convergence of the proposed algorithms are formulated. 
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     title = {On first- and second-order difference schemes for differential-algebraic equations of index at most two},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
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     number = {11},
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     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_11_a3/}
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M. V. Bulatov; Lee Ming-Gong; L. S. Solovarova. On first- and second-order difference schemes for differential-algebraic equations of index at most two. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 50 (2010) no. 11, pp. 1909-1918. http://geodesic.mathdoc.fr/item/ZVMMF_2010_50_11_a3/