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

DOI10.1134/S0965542513030044zbMath1274.65228MaRDI QIDQ2840271

Nikolaǐ Petrovich Rakhvalov, Mikhail Valer'yanovich Bulatov, Lyubov' Stepanovna Solovarova

Publication date: 17 July 2013

Published in: Computational Mathematics and Mathematical Physics (Search for Journal in Brave)

zbMATH Keywords

differential-algebraic equationscontinuous vector splineindex of differential-algebraic equationsspline collocation-variation method

Mathematics Subject Classification ID

Implicit ordinary differential equations, differential-algebraic equations (34A09) Numerical methods for differential-algebraic equations (65L80)

Related Items (3)

Least-squares collocation for linear higher-index differential-algebraic equations ⋮ Collocation-variation difference schemes with several collocation points for differential-algebraic equations ⋮ Collocation-variational approaches to the solution to Volterra integral equations of the first kind

Uses Software

• RODAS

Cites Work

• Stability properties of differential-algebraic equations and Spin-stabilized discretizations
• Application of matrix polynomials to the analysis of linear differential-algebraic equations of higher order
• The method of normal splines for linear DAEs on the number semi-axis
• Differential algebraic systems anew
• The numerical solution of differential-algebraic systems by Runge-Kutta methods
• Transformations of differential-algebraic systems of equations
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