Geodesic
Ritz method for equations with small parameters for higher derivatives
Matematičeskie zametki, Tome 6 (1969) no. 1, pp. 91-96.

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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 $\varepsilon$. 
@article{MZM_1969_6_1_a10,
     author = {L. A. Kalyakin},
     title = {Ritz method for equations with small parameters for higher derivatives},
     journal = {Matemati\v{c}eskie zametki},
     pages = {91--96},
     publisher = {mathdoc},
     volume = {6},
     number = {1},
     year = {1969},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/MZM_1969_6_1_a10/}
}
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L. A. Kalyakin. Ritz method for equations with small parameters for higher derivatives. Matematičeskie zametki, Tome 6 (1969) no. 1, pp. 91-96. http://geodesic.mathdoc.fr/item/MZM_1969_6_1_a10/