Asymptotic error bounds in Galerkin approximation for a certain class of quasipotential equations

E. P. Zhidkov   ; E. G. Nikonov   ; B. N. Khoromsky

Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 6, pp. 826-836

Résumé

Error bounds for the Galerkin approximation of solutions to the eigenvalue problem are derived for a class of quasipotential integral equations. In the case of completely continuous operators conditions are derived under which the error in the approximate solutions of a spectral problem can be expanded in powers of a parameter $r^{-1}$, where $r$ is the length of the discretization interval of the integral operator, which is defined on a half-line.

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