Numerical solution of differential-algebraic equations using the spline collocation-variation method

被引：0

作者：

M. V. Bulatov

N. P. Rakhvalov

L. S. Solovarova

机构：

[1] Russian Academy of Sciences,Institute of Dynamical Systems and Control Theory, Siberian Branch

[2] Irkutsk State Pedagogical University,undefined

来源：

Computational Mathematics and Mathematical Physics | 2013年 / 53卷

关键词：

system of differential-algebraic equations; spline method; vector spline; index of a differential-algebraic equation;

D O I：

暂无

中图分类号：

学科分类号：

摘要：

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.

引用

页码：284 / 295

页数：11

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