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Zhurnal Vychislitel'noi Matematiki i Matematicheskoi Fiziki, 1983, Volume 23, Number 4, Pages 1003–1007 (Mi zvmmf5573)  
Scientific communications

A recurrence algorithm for solving infinite sets of linear differential equations with a triangular matrix

I. M. Gaisinskii

Moscow
Full-text PDF (573 kB)
Abstract: A recurrence algorithm is described for solving infinite sets of linear ordinary differential equations with constant coefficients; it is based on expansion of the matrix Green's function in basis functions. Simple recurrence relations are obtained for the expansion coefficients.
Received: 09.05.1981
Revised: 04.02.1982
English version:
USSR Computational Mathematics and Mathematical Physics, 1983, Volume 23, Issue 4, Pages 148–151
DOI: https://doi.org/10.1016/S0041-5553(83)80147-5
Bibliographic databases:
Document Type: Article
UDC: 519.615.62
MSC: Primary 65L05; Secondary 34A30
Language: Russian
Citation: I. M. Gaisinskii, “A recurrence algorithm for solving infinite sets of linear differential equations with a triangular matrix”, Zh. Vychisl. Mat. Mat. Fiz., 23:4 (1983), 1003–1007; U.S.S.R. Comput. Math. Math. Phys., 23:4 (1983), 148–151
Citation in format AMSBIB
\Bibitem{Gai83}
\by I.~M.~Gaisinskii
\paper A recurrence algorithm for solving infinite sets of linear differential equations with a triangular matrix
\jour Zh. Vychisl. Mat. Mat. Fiz.
\yr 1983
\vol 23
\issue 4
\pages 1003--1007
\mathnet{http://mi.mathnet.ru/zvmmf5573}
\mathscinet{http://mathscinet.ams.org/mathscinet-getitem?mr=717031}
\zmath{https://zbmath.org/?q=an:0553.65051}
\transl
\jour U.S.S.R. Comput. Math. Math. Phys.
\yr 1983
\vol 23
\issue 4
\pages 148--151
\crossref{https://doi.org/10.1016/S0041-5553(83)80147-5}
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    		Журнал вычислительной математики и математической физики Computational Mathematics and Mathematical Physics
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