Block Difference Schemes of High Order for Stiff Linear Differential-Algebraic Equations
- 作者: Bulatov M.V.1,2, Linh V.H.3, Solovarova L.S.1
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隶属关系:
- 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
- 期: 卷 59, 编号 7 (2019)
- 页面: 1049-1057
- 栏目: Article
- URL: https://journals.rcsi.science/0965-5425/article/view/180675
- DOI: https://doi.org/10.1134/S0965542519070042
- ID: 180675
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详细
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.
作者简介
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
编辑信件的主要联系方式.
Email: mvbul@icc.ru
俄罗斯联邦, Irkutsk, 664033; Irkutsk, 664033
V. Linh
Vietnam National University
编辑信件的主要联系方式.
Email: linhvh@vnu.edu.vn
越南, Hanoi, 10000
L. Solovarova
Matrosov Institute for System Dynamics and Control Theory, Siberian Branch,Russian Academy of Sciences
编辑信件的主要联系方式.
Email: soleilu@mail.ru
俄罗斯联邦, Irkutsk, 664033
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