Application of matrix polynomials to the analysis of linear differential-algebraic equations of higher order

DOI10.1134/S0012266108100017zbMath1194.34008MaRDI QIDQ1000137

Ming-Gong Lee, Mikhail Valer'yanovich Bulatov

Publication date: 4 February 2009

Published in: Differential Equations (Search for Journal in Brave)

Mathematics Subject Classification ID

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

Related Items (12)

On the numerical solution of second-order stiff linear differential-algebraic equations ⋮ Generalized solutions of differential equations with the derivatives of functionals in Banach spaces ⋮ On some results of investigation of singular systems of integrodifferential equations obtained by Yu. Ye. Boyarintsev research group ⋮ On a certain class of quasilinear second-order differential-algebraic equations ⋮ Multistep methods for second-order differential-algebraic equations ⋮ Linear differential-algebraic equations perturbed by Volterra integral operators ⋮ Existence and uniqueness of solutions to weakly singular integral-algebraic and integro-differential equations ⋮ A reliable direct numerical treatment of differential-algebraic equations by overdetermined collocation: an operator approach ⋮ An approach based on matrix polynomials for linear systems of partial differential equations ⋮ Evaluation of the index and singular points of linear differential-algebraic equations of higher order ⋮ Numerical solution of differential-algebraic equations using the spline collocation-variation method ⋮ On systems of integro-differential and integral equations with identically singular matrix multiplying the principal part

Uses Software

• RODAS

Cites Work

• Solving Ordinary Differential Equations I
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