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 problemsChistyakova 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
