Geodesic
Numerical solution of differential-algebraic equations using the spline collocation-variation method
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 3, pp. 377-389 Cet article a éte moissonné depuis la source Math-Net.Ru

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Numerical methods for solving initial value problems for differential-algebraic equations are proposed. The approximate solution is represented as a continuous vector spline whose coefficients are found using the collocation conditions stated for a subgrid with the number of collocation points less than the degree of the spline and the minimality condition for the norm of this spline in the corresponding spaces. Numerical results for some model problems are presented. 
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     title = {Numerical solution of differential-algebraic equations using the spline collocation-variation method},
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M. V. Bulatov; N. P. Rahvalov; L. S. Solovarova. Numerical solution of differential-algebraic equations using the spline collocation-variation method. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 53 (2013) no. 3, pp. 377-389. http://geodesic.mathdoc.fr/item/ZVMMF_2013_53_3_a6/

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