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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 ...

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
Nonlinear systems' equilibrium points: Branching, blow-up and stability

Sidorov N., Sidorov D., Li Y. Nonlinear systems' equilibrium points: Branching, blow-up and stability // Journal of Physics: Conference Series. Vol.1268. No.1. ID: 012065. 2019. DOI: 10.1088/1742-6596/1268/1/012065 This article considers the nonlinear dynamic model formulated as the system of differential and operator equations. This system is assumed to enjoy an equilibrium point. The Cauchy problem with the initial condition with respect to one of the desired functions is formulated. The second...

Теги: chemical analysis , continuum mechanics , differential equations , dynamic models , dynamics , mathematical operators , chemical process , differential algebraic equations , equilibrium point , global classica
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....

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


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