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Application of underdetermined differential algebraic equations to solving one problem from heat mass transfer

Chistyakov V.F., Chistyakova E.V., Levin A.A. Application of underdetermined differential algebraic equations to solving one problem from heat mass transfer // Lecture Notes in Computer Science (including subseries Lecture Notes in Artificial Intelligence and Lecture Notes in Bioinformatics). Vol.12141 LNCS. 2020. P.84-93. ISBN (print): 9783030504250. DOI: 10.1007/978-3-030-50426-7_7 This paper addresses a mathematical model of the boiling of subcooled liquid in an annular channel. The model is...

Теги: boiling , differential algebraic equations , heat mass transfer , index , subcooled liquid , algebra , computation theory , mass transfer , numerical methods , partial differential equations , algebraic relations , annular channels , boiling process , heat-mass trans
Раздел: ИСЭМ СО РАН
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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