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Block Difference Schemes of High Order for Stiff Linear Differential-Algebraic Equations

Bulatov M.V., Linh V.H., Solovarova L.S. Block Difference Schemes of High Order for Stiff Linear Differential-Algebraic Equations // Computational Mathematics and Mathematical Physics. Vol.59. No.7. 2019. P.1049-1057. DOI: 10.1134/S0965542519070042 Abstract: The initial value problem for stiff linear differential-algebraic equations is considered. A block variant of multistep difference schemes is proposed to solve these problems. Sufficient conditions for the methods to converge to the exact solution...

Теги: block difference schemes , differential-algebraic equations , index , stiff problems
Раздел: ИСЭМ СО РАН
Linearization of differential algebraic equations with integral terms and their application to the thermal energy modelling

Chistyakova E.V., Chistyakov V.F., Levin A.A. Linearization of differential algebraic equations with integral terms and their application to the thermal energy modelling // Bulletin of the South Ural State University, Series: Mathematical Modelling, Programming and Computer Software. Vol.11. No.4. 2018. P.94-109. DOI: 10.14529/mmp180407 Modelling of various natural and technical processes often results in systems that comprise ordinary differential equations and algebraic equations This paper studies...

Теги: consistency problem , differential algebraic equations , fredholm operator , index , initial problem , volterra operator
Раздел: ИСЭМ СО РАН


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