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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 2019, Volume 59, Number 6, Pages 972–983
DOI: https://doi.org/10.1134/S0044466919060024 (Mi zvmmf10908) 		 
This article is cited in 3 scientific papers (total in 3 papers)

The least square method for systems of linear ordinary differential equations

A. A. Abramova, L. F. Yukhnob

a Dorodnicyn Computing Center, Federal Research Center "Computer Science and Control," Russian Academy of Sciences, Moscow, 119333 Russia
b Keldysh Institute of Applied Mathematics, Russian Academy of Sciences, Moscow, 125047 Russia
Citations (3)
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DOI: https://doi.org/10.1134/S0044466919060024
Abstract: Some techniques for applying the least square method to solve boundary value problems for overdetermined systems of linear ordinary differential equations with redundant boundary conditions are considered. Problems of this type may have no solution in the general case. Within these techniques for the above problems, the variational approach is applied to both systems of equations and relevant boundary conditions. In one of these techniques, the order of equations of the system under consideration is increased; in this case, additional boundary conditions are set for it. Model examples of applying the techniques and their comparison are given.
Key words: overdetermined system of linear ordinary differential equations, boundary value problem, redundant boundary conditions, least square method.
Received: 09.01.2019
Revised: 09.01.2019
Accepted: 08.02.2019
English version:
Computational Mathematics and Mathematical Physics, 2019, Volume 59, Issue 6, Pages 915–925
DOI: https://doi.org/10.1134/S0965542519060022
Bibliographic databases:
Document Type: Article
UDC: 519.624
Language: Russian
Citation: A. A. Abramov, L. F. Yukhno, “The least square method for systems of linear ordinary differential equations”, Zh. Vychisl. Mat. Mat. Fiz., 59:6 (2019), 972–983; Comput. Math. Math. Phys., 59:6 (2019), 915–925
Citation in format AMSBIB
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    • This publication is cited in the following 3 articles:
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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