Email this article Block Difference Schemes of High Order for Stiff Linear Differential-Algebraic Equations
- Authors: Bulatov M.V.1,2, Linh V.H.3, Solovarova L.S.1
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Affiliations:
- 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
- Issue: Vol 59, No 7 (2019)
- Pages: 1049-1057
- Section: Article
- URL: https://journals.rcsi.science/0965-5425/article/view/180675
- DOI: https://doi.org/10.1134/S0965542519070042
- ID: 180675
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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 are formulated, and an estimate of the convergence rate is obtained. Results of numerical calculations for test examples are given.
About the authors
M. V. 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
Author for correspondence.
Email: mvbul@icc.ru
Russian Federation, Irkutsk, 664033; Irkutsk, 664033
V. H. Linh
Vietnam National University
Author for correspondence.
Email: linhvh@vnu.edu.vn
Viet Nam, Hanoi, 10000
L. S. Solovarova
Matrosov Institute for System Dynamics and Control Theory, Siberian Branch,Russian Academy of Sciences
Author for correspondence.
Email: soleilu@mail.ru
Russian Federation, Irkutsk, 664033
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