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Numerical methods and programming, 2001, Volume 2, Issue 3, Pages 41–48 (Mi vmp787)  
Solution of linear boundary value problems for systems of ordinary differential equations by Godunov's method

O. B. Arushanyan, S. F. Zaletkin

Lomonosov Moscow State University, Research Computing Center
Full-text PDF (132 kB)
Abstract: A numerical algorithm of solving linear boundary value problems for systems of first-order ordinary differential equations is proposed. The algorithm is based on Godunov's method without storage of intermediate matrices arising during the process of orthogonalization.
Keywords: linear boundary value problems, ordinary differential equations, orthogonal Thomas algorithm, shooting method, QR-decomposition, refelection method.
UDC: 519.24.1
Language: Russian
Citation: O. B. Arushanyan, S. F. Zaletkin, “Solution of linear boundary value problems for systems of ordinary differential equations by Godunov's method”, Num. Meth. Prog., 2:3 (2001), 41–48
Citation in format AMSBIB
\Bibitem{AruZal01}
\by O.~B.~Arushanyan, S.~F.~Zaletkin
\paper Solution of linear boundary value problems for systems of ordinary differential equations by Godunov's method
\jour Num. Meth. Prog.
\yr 2001
\vol 2
\issue 3
\pages 41--48
\mathnet{http://mi.mathnet.ru/vmp787}
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