Resolvent approach to the Fourier method in a mixed problem for the wave equation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 4, pp. 621-630
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The method of contour integration as applied to the resolvent of the spectral problem is used to substantiate the Fourier method in a mixed problem for the wave equation with a complex potential and boundary conditions generalizing free-end boundary conditions. Minimum smoothness assumptions are made about the initial data. Krylov’s technique of accelerating the convergence of the Fourier method is essentially employed.
@article{ZVMMF_2015_55_4_a9,
author = {V. V. Kornev and A. P. Khromov},
title = {Resolvent approach to the {Fourier} method in a mixed problem for the wave equation},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {621--630},
publisher = {mathdoc},
volume = {55},
number = {4},
year = {2015},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_4_a9/}
}
TY - JOUR AU - V. V. Kornev AU - A. P. Khromov TI - Resolvent approach to the Fourier method in a mixed problem for the wave equation JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2015 SP - 621 EP - 630 VL - 55 IS - 4 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_4_a9/ LA - ru ID - ZVMMF_2015_55_4_a9 ER -
%0 Journal Article %A V. V. Kornev %A A. P. Khromov %T Resolvent approach to the Fourier method in a mixed problem for the wave equation %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2015 %P 621-630 %V 55 %N 4 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_4_a9/ %G ru %F ZVMMF_2015_55_4_a9
V. V. Kornev; A. P. Khromov. Resolvent approach to the Fourier method in a mixed problem for the wave equation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 55 (2015) no. 4, pp. 621-630. http://geodesic.mathdoc.fr/item/ZVMMF_2015_55_4_a9/