SciCADE 2013
International Conference on Scientific Computation and Differential Equations
September 16-20, 2013, Valladolid (Spain)

Contributed Talk

Show full list of Contributed Talks Show talk context (CS03)


On solution of differential-algebraic equations by collocation-variation splines

L. Solovarova and M. Bulatov

Abstract
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. The work was supported RFBR Grants 11-01-00639-a and 13-01-93002 Viet-a.

Organized by         Universidad de Valladolid     IMUVA