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Mathematics and Mechanics

Russian Academy of Sciences
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in January 1936
(Translated from 1958)
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IssuesArchive of Issues2010-2pp.214-222

Archive of Issues

Total articles in the database: 1813
In Russian (): 1014
In English (J. Appl. Math. Mech.): 799

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Ye.I. Mikhailovskii and Yu.V. Tulubenskaya, "An algorithm for the local exhaustive search for alternatives in an essentially non-linear eigenvalue problem," J. Appl. Math. Mech. 74 (2), 214-222 (2010)
Year 2010 Volume 74 Issue 2 Pages 214-222
Title An algorithm for the local exhaustive search for alternatives in an essentially non-linear eigenvalue problem
Author(s) Ye.I. Mikhailovskii (Syktyvkar, Russia, emich@inbox.ru)
Yu.V. Tulubenskaya (Syktyvkar, Russia)
Abstract An algorithm for the local exhaustive search for alternatives, which enable one to reduce the number of auxiliary linear eigenvalue problems that must be solved is illustrated using the example of the problem of the supercritical behaviour of a longitudinally compressed rod at the interface of two dissimilar Winkler media. The basic principle of the algorithm consists of developing a qualitatively adequate natural form based on a complete exhaustive search for alternatives on a "widely spaced" grid with further subsequent doubling of the number of its nodes and exhaustively searching for alternatives only in the region of the roots of the natural form.
Received 15 January 2008
Link to Fulltext http://www.sciencedirect.com/science/journal/00218928
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