2006•Computational Mathematics and Mathematical PhysicsRequires access

Conditions for partitioning a system of differential algebraic equations into weakly coupled subsystems

Liudmila Ya. Banakh, Alexander S. Gorobtsov, O. K. Chesnokov

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Abstract

Systems of differential algebraic equations are examined. A method is proposed for transforming the rectangular matrix of algebraic equations to block diagonal form. This method ensures the prescribed accuracy of the solution with respect to the original system of equations.

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What this paper is about

Systems of differential algebraic equations are examined. A method is proposed for transforming the rectangular matrix of algebraic equations to block diagonal form. This method ensures the prescribed accuracy of the solution with respect to the original system of equations.

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Available abstract

Systems of differential algebraic equations are examined. A method is proposed for transforming the rectangular matrix of algebraic equations to block diagonal form. This method ensures the prescribed accuracy of the solution with respect to the original system of equations.

Key concepts: Mathematics, Differential algebraic geometry, Differential algebraic equation, Algebraic equation, Diagonal, Algebraic number, Applied mathematics, Differential equation

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