Geodesic
On Decomposition of Difference Schemes for Numerical Solution of Differential Algebraic Equations
Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, no. 11 (2012), pp. 88-100 Cet article a éte moissonné depuis la source Math-Net.Ru

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We consider quasi-linear systems of ordinary differential equations (ODE) with identically singular matrix multiplying the derivative of the desired vector-function and difference scheme for their numerical solution. We discuss conditions that make it possible to solve algebraic (finite-dimensional) equations at each step of numerical process and substitute the solutions obtained into the dynamics equations. Results of numerical solution of ODE systems modeling direct-flow boiler unit are given.
Keywords: differential-algebraic equations, index, difference schemes, mathematical models, direct-flow boiler. 
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     title = {On {Decomposition} of {Difference} {Schemes} for {Numerical} {Solution} of {Differential} {Algebraic} {Equations}},
     journal = {Vestnik \^U\v{z}no-Uralʹskogo gosudarstvennogo universiteta. Seri\^a, Matemati\v{c}eskoe modelirovanie i programmirovanie},
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V. F. Chistyakov; E. A. Tairov; E. V. Chistyakova; A. A. Levin. On Decomposition of Difference Schemes for Numerical Solution of Differential Algebraic Equations. Vestnik Ûžno-Uralʹskogo gosudarstvennogo universiteta. Seriâ, Matematičeskoe modelirovanie i programmirovanie, no. 11 (2012), pp. 88-100. http://geodesic.mathdoc.fr/item/VYURU_2012_11_a8/

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