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 Izv. Akad. Nauk SSSR Ser. Mat., 1988, Volume 52, Issue 5, Pages 1070–1081 (Mi izv1218)

A polynomial approximation method for the solution of a boundary value problem and its derivatives for linear ordinary differential equations

V. K. Dzyadyk, L. A. Ostrovetskii

Abstract: Effective algorithms are proposed for the construction of polynomials of asymptotically best approximation of the solution of a boundary value problem and its derivatives for linear differential equations with polynomial coefficients.
Bibliography: 7 titles.

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English version:
Mathematics of the USSR-Izvestiya, 1989, 33:2, 391–402

Bibliographic databases:

UDC: 517.5
MSC: Primary 34B05, 34A45, 41A10, 41A50; Secondary 45D05, 41A60, 41A65

Citation: V. K. Dzyadyk, L. A. Ostrovetskii, “A polynomial approximation method for the solution of a boundary value problem and its derivatives for linear ordinary differential equations”, Izv. Akad. Nauk SSSR Ser. Mat., 52:5 (1988), 1070–1081; Math. USSR-Izv., 33:2 (1989), 391–402

Citation in format AMSBIB
\Bibitem{DzyOst88} \by V.~K.~Dzyadyk, L.~A.~Ostrovetskii \paper A~polynomial approximation method for the solution of a~boundary value problem and its derivatives for linear ordinary differential equations \jour Izv. Akad. Nauk SSSR Ser. Mat. \yr 1988 \vol 52 \issue 5 \pages 1070--1081 \mathnet{http://mi.mathnet.ru/izv1218} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=972096} \zmath{https://zbmath.org/?q=an:0677.34017|0664.34025} \transl \jour Math. USSR-Izv. \yr 1989 \vol 33 \issue 2 \pages 391--402 \crossref{https://doi.org/10.1070/IM1989v033n02ABEH000842}