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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2011, Volume 51, Number 12, Pages 2181–2193 (Mi zvmmf9585)  
This article is cited in 3 scientific papers (total in 3 papers)

Regularization of differential-algebraic equations

V. F. Chistyakov

Institute of System Dynamics and Control Theory, Siberian Branch, Russian Academy of Sciences, ul. Lermontova 134, Irkutsk, 664033 Russia
Full-text PDF (891 kB) Citations (3)
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Abstract: Linear systems of ordinary differential equations with an identically singular or rectangular matrix multiplying the derivative of the unknown vector function are numerically solved by applying the least squares method and Tikhonov regularization. The deviation of the solution of the regularized problem from the solution set of the original problem is estimated depending on the regularization parameter.
Key words: regularization of differential-algebraic equations, least squares method, Tikhonov regularization.
Received: 16.05.2011
English version:
Computational Mathematics and Mathematical Physics, 2011, Volume 51, Issue 12, Pages 2052–2064
DOI: https://doi.org/10.1134/S0965542511120104
Bibliographic databases:
Document Type: Article
UDC: 519.624.2
Language: Russian
Citation: V. F. Chistyakov, “Regularization of differential-algebraic equations”, Zh. Vychisl. Mat. Mat. Fiz., 51:12 (2011), 2181–2193; Comput. Math. Math. Phys., 51:12 (2011), 2052–2064
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
    Citing articles in Google Scholar: Russian citations, English citations
    Related articles in Google Scholar: Russian articles, English articles
    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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    Full-text PDF :158
    References:87
    First page:29
     
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