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 Matem. Mod., 2003, Volume 15, Number 1, Pages 87–100 (Mi mm507)

The accuracy estimation of the numerical solution of the spectral problem with the operator depending on the eigenvalue

E. P. Zhidkov, N. B. Skachkov, T. M. Solov'eva

Joint Institute for Nuclear Research

Abstract: The spectral problems with the eigenvalue-depending operator are usually appeared when the relative variants of the Schroedinger equation in the impulse space are considered. The eigenvalues and eigenfunctions calculation error caused by the numerical solving of such equations is the sum of the error entering the approximation of a continuous equation by the discret equations system with help the Bubnov–Galerkine method and the iterative method. It is shown that the iterative method error is one-two order smaller than for discretisation problem. Hense, the eigenvalues and eigenfunctions calculation accuracy of the spectral problem with the eigenvalue-depending operator is not worse then the linear spectral problem solution accuracy.

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Citation: E. P. Zhidkov, N. B. Skachkov, T. M. Solov'eva, “The accuracy estimation of the numerical solution of the spectral problem with the operator depending on the eigenvalue”, Matem. Mod., 15:1 (2003), 87–100

Citation in format AMSBIB
\Bibitem{ZhiSkaSol03} \by E.~P.~Zhidkov, N.~B.~Skachkov, T.~M.~Solov'eva \paper The accuracy estimation of the numerical solution of the spectral problem with the operator depending on the eigenvalue \jour Matem. Mod. \yr 2003 \vol 15 \issue 1 \pages 87--100 \mathnet{http://mi.mathnet.ru/mm507} \mathscinet{http://www.ams.org/mathscinet-getitem?mr=1998735} \zmath{https://zbmath.org/?q=an:1038.65119} 

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