Geodesic
Asymptotic error bounds in Galerkin approximation for a certain class of quasipotential equations
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 6, pp. 826-836

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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. 
@article{ZVMMF_1990_30_6_a2,
     author = {E. P. Zhidkov and E. G. Nikonov and B. N. Khoromsky},
     title = {Asymptotic error bounds in {Galerkin} approximation for a~certain class of quasipotential equations},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {826--836},
     publisher = {mathdoc},
     volume = {30},
     number = {6},
     year = {1990},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_6_a2/}
}
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E. P. Zhidkov; E. G. Nikonov; B. N. Khoromsky. Asymptotic error bounds in Galerkin approximation for a certain class of quasipotential equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 6, pp. 826-836. http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_6_a2/