Superexponentially convergent algorithm for an abstract eigenvalue problem with applications to ODEs

A new algorithm for eigenvalue problems for the linear operators of the type A = A + B with a special application to high order ordinary differential equations is proposed and justified. The algorithm is based on the approximation of A by an operator A¯ = A + B¯ where the eigenvalue problem for A¯ i...

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Bibliographic Details
Date:2015
Main Authors: Gavrilyuk, I.P., Makarov, V.L., Romanyuk, N.M.
Format: Article
Language:English
Published: Інститут математики НАН України 2015
Series:Нелінійні коливання
Online Access:http://dspace.nbuv.gov.ua/handle/123456789/177219
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Journal Title:Digital Library of Periodicals of National Academy of Sciences of Ukraine
Cite this:Superexponentially convergent algorithm for an abstract eigenvalue problem with applications to ODEs / I.P. Gavrilyuk, V.L. Makarov, N.M. Romanyuk // Нелінійні коливання. — 2015. — Т. 18, № 3. — С. 332-356 — Бібліогр.: 23 назв. — англ.

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Digital Library of Periodicals of National Academy of Sciences of Ukraine