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This article is cited in 2 scientific papers (total in 2 papers)
Ritz method for equations with small parameters for higher derivatives
L. A. Kalyakin V. A. Steklov Institute of Mathematics, Sverdlovsk Branch of the Academy of Sciences of USSR
Abstract:
The problem of convergence of the Ritz method is considered for positive definite operational equations of the form $a_\varepsilon u\equiv(\varepsilon A_1+A_0)u=f$ containing small parameters $\varepsilon$ for the principal part. For specific natural conditions it is proved that the Ritz method, used for an approximate solution to such equations, converges to an exact solution in a metric with quadratic form uniformly with respect to the parameter $\varepsilon$.
Received: 09.07.1968
Citation:
L. A. Kalyakin, “Ritz method for equations with small parameters for higher derivatives”, Mat. Zametki, 6:1 (1969), 91–96; Math. Notes, 6:1 (1969), 513–516
Linking options:
https://www.mathnet.ru/eng/mzm6901 https://www.mathnet.ru/eng/mzm/v6/i1/p91
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Abstract page: | 752 | Full-text PDF : | 186 | First page: | 1 |
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