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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2019, Volume 59, Number 4, Pages 549–565
DOI: https://doi.org/10.1134/S004446691904015X (Mi zvmmf10874) 		 
This article is cited in 1 scientific paper (total in 1 paper)

Stability of a difference scheme for a quasi-linear partial differential algebraic system of equations of index $(k,0)$

A. K. Svinin, S. V. Svinina

Matrosov Institute for System Dynamics and Control Theory, Siberian Branch, Russian Academy of Sciences, Irkutsk, 664033 Russia
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DOI: https://doi.org/10.1134/S004446691904015X
Abstract: A quasi-linear partial differential algebraic system of equations of index $(k,0)$ is considered. A spline collocation difference scheme with a split matrix pencil is constructed to numerically solve a system of this kind. The difference scheme has a high accuracy coinciding with the lowest order of the spline approximating the required function. Results of numerical calculations are given.
Key words: spline collocation scheme, differential algebraic equations, split matrix.
Received: 19.10.2017
Revised: 14.11.2018
Accepted: 14.11.2018
English version:
Computational Mathematics and Mathematical Physics, 2019, Volume 59, Issue 4, Pages 513–528
DOI: https://doi.org/10.1134/S0965542519040158
Bibliographic databases:
Document Type: Article
UDC: 519.63
Language: Russian
Citation: A. K. Svinin, S. V. Svinina, “Stability of a difference scheme for a quasi-linear partial differential algebraic system of equations of index $(k,0)$”, Zh. Vychisl. Mat. Mat. Fiz., 59:4 (2019), 549–565; Comput. Math. Math. Phys., 59:4 (2019), 513–528
Citation in format AMSBIB
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    • This publication is cited in the following 1 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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