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Sibirskii Zhurnal Vychislitel'noi Matematiki, 2000, Volume 3, Number 1, Pages 73–88
(Mi sjvm354)
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This article is cited in 1 scientific paper (total in 1 paper)
Error bounds of two-sided approximations for the Sturm–Liouville problem
S. B. Sorokin Institute of Computational Mathematics and Mathematical Geophysics (Computing Center), Siberian Branch of the Russian Academy of Sciences
Abstract:
In the paper, the investigation of two-side approximations method for eigenvalue problem based on the
well-known fictitious method is pursued. The expansion of eigenvalues of auxiliary problem in power series by small parameter of continuation irrespective of its sign is proved. Unimprovable error bounds of two-sided
approximations are obtained. The conjugate-factorized structure of the problem operator plays the decisive role in obtaining the result. The research is realized on descrete level.
Received: 15.10.1998 Revised: 26.01.1999
Citation:
S. B. Sorokin, “Error bounds of two-sided approximations for the Sturm–Liouville problem”, Sib. Zh. Vychisl. Mat., 3:1 (2000), 73–88
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Abstract page: | 186 | Full-text PDF : | 55 | References: | 27 |
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