Отправить статью по E-mail Block Difference Schemes of High Order for Stiff Linear Differential-Algebraic Equations
- Авторы: Bulatov M.V.1,2, Linh V.H.3, Solovarova L.S.1
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Учреждения:
- 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
- Выпуск: Том 59, № 7 (2019)
- Страницы: 1049-1057
- Раздел: Article
- URL: https://journals.rcsi.science/0965-5425/article/view/180675
- DOI: https://doi.org/10.1134/S0965542519070042
- ID: 180675
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Аннотация
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.
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Об авторах
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
Автор, ответственный за переписку.
Email: mvbul@icc.ru
Россия, Irkutsk, 664033; Irkutsk, 664033
V. Linh
Vietnam National University
Автор, ответственный за переписку.
Email: linhvh@vnu.edu.vn
Вьетнам, Hanoi, 10000
L. Solovarova
Matrosov Institute for System Dynamics and Control Theory, Siberian Branch,Russian Academy of Sciences
Автор, ответственный за переписку.
Email: soleilu@mail.ru
Россия, Irkutsk, 664033
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