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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1979, Volume 19, Number 3, Pages 631–639 (Mi zvmmf5389)  
This article is cited in 8 scientific papers (total in 8 papers)

Solution of boundary value problems for linear systems of ordinary differential equations by the method of directed orthogonalization

A. A. Bykov, A. S. Il'inskii

Moskva
Full-text PDF (906 kB) Citations (8)
Abstract: A version of the orthogonal pivotal condensation method for solving boundary value problems for systems of linear ordinary differential equations is examined. During the orthogonalization the basis vectors are newly resolved at each step, using the eigenvectors and eigenvalues of the matrix of the system at the point of orthogonalization.
Received: 15.11.1977
Revised: 30.08.1978
English version:
USSR Computational Mathematics and Mathematical Physics, 1979, Volume 19, Issue 3, Pages 74–82
DOI: https://doi.org/10.1016/0041-5553(79)90130-7
Bibliographic databases:
Document Type: Article
UDC: 519.62
MSC: Primary 65L10; Secondary 78A50, 34B05, 65L20, 65G50
Language: Russian
Citation: A. A. Bykov, A. S. Il'inskii, “Solution of boundary value problems for linear systems of ordinary differential equations by the method of directed orthogonalization”, Zh. Vychisl. Mat. Mat. Fiz., 19:3 (1979), 631–639; U.S.S.R. Comput. Math. Math. Phys., 19:3 (1979), 74–82
Citation in format AMSBIB
\Bibitem{BykIli79}
\by A.~A.~Bykov, A.~S.~Il'inskii
\paper Solution of boundary value problems for linear systems of ordinary differential equations by the method of directed orthogonalization
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1979
\vol 19
\issue 3
\pages 631--639
\mathnet{http://mi.mathnet.ru/zvmmf5389}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=538932}
\zmath{https://zbmath.org/?q=an:0442.65071}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1979
\vol 19
\issue 3
\pages 74--82
\crossref{https://doi.org/10.1016/0041-5553(79)90130-7}
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    • This publication is cited in the following 8 articles:
    Citing articles in Google Scholar: Russian citations, English citations
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