Block Difference Schemes of High Order for Stiff Linear Differential-Algebraic Equations
- Autores: Bulatov M.V.1,2, Linh V.H.3, Solovarova L.S.1
-
Afiliações:
- Matrosov Institute for System Dynamics and Control Theory, Siberian Branch, Russian Academy of Sciences
- Melentiev Energy Systems Institute, Siberian Branch, Russian Academy of Sciences
- Vietnam National University
- Edição: Volume 59, Nº 7 (2019)
- Páginas: 1049-1057
- Seção: Article
- URL: https://journals.rcsi.science/0965-5425/article/view/180675
- DOI: https://doi.org/10.1134/S0965542519070042
- ID: 180675
Citar
Resumo
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 are formulated, and an estimate of the convergence rate is obtained. Results of numerical calculations for test examples are given.
Palavras-chave
Sobre autores
M. Bulatov
Matrosov Institute for System Dynamics and Control Theory, Siberian Branch,Russian Academy of Sciences; Melentiev Energy Systems Institute, Siberian Branch, Russian Academy of Sciences
Autor responsável pela correspondência
Email: mvbul@icc.ru
Rússia, Irkutsk, 664033; Irkutsk, 664033
V. Linh
Vietnam National University
Autor responsável pela correspondência
Email: linhvh@vnu.edu.vn
Vietnã, Hanoi, 10000
L. Solovarova
Matrosov Institute for System Dynamics and Control Theory, Siberian Branch,Russian Academy of Sciences
Autor responsável pela correspondência
Email: soleilu@mail.ru
Rússia, Irkutsk, 664033
Arquivos suplementares
