Approximate computation of eigenvalues and eigenfunctions of Sturm–Liouville differential operators by applying the theory of regularized traces
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 3, pp. 409-446
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This paper overviews studies dealing with the approximate computation of eigenvalues and eigenfunctions of Sturm–Liouville differential operators by applying methods of the theory of regularized traces. Dorodnicyn’s method and its development in the form of the theory of regularized traces of differential operators are described.
@article{ZVMMF_2012_52_3_a4,
author = {M. K. Kerimov},
title = {Approximate computation of eigenvalues and eigenfunctions of {Sturm{\textendash}Liouville} differential operators by applying the theory of regularized traces},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {409--446},
publisher = {mathdoc},
volume = {52},
number = {3},
year = {2012},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_3_a4/}
}
TY - JOUR AU - M. K. Kerimov TI - Approximate computation of eigenvalues and eigenfunctions of Sturm–Liouville differential operators by applying the theory of regularized traces JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 2012 SP - 409 EP - 446 VL - 52 IS - 3 PB - mathdoc UR - http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_3_a4/ LA - ru ID - ZVMMF_2012_52_3_a4 ER -
%0 Journal Article %A M. K. Kerimov %T Approximate computation of eigenvalues and eigenfunctions of Sturm–Liouville differential operators by applying the theory of regularized traces %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 2012 %P 409-446 %V 52 %N 3 %I mathdoc %U http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_3_a4/ %G ru %F ZVMMF_2012_52_3_a4
M. K. Kerimov. Approximate computation of eigenvalues and eigenfunctions of Sturm–Liouville differential operators by applying the theory of regularized traces. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 52 (2012) no. 3, pp. 409-446. http://geodesic.mathdoc.fr/item/ZVMMF_2012_52_3_a4/