Matematičeskoe modelirovanie, Tome 8 (1996) no. 3, pp. 33-48
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R. G. Airapetyan; E. P. Zhidkov; R. L. Shakhbagyan. Numerical method for solving the inverse scattering problem, based on the asymptotic regularization. Matematičeskoe modelirovanie, Tome 8 (1996) no. 3, pp. 33-48. http://geodesic.mathdoc.fr/item/MM_1996_8_3_a2/
@article{MM_1996_8_3_a2,
author = {R. G. Airapetyan and E. P. Zhidkov and R. L. Shakhbagyan},
title = {Numerical method for solving the inverse scattering problem, based on the asymptotic regularization},
journal = {Matemati\v{c}eskoe modelirovanie},
pages = {33--48},
year = {1996},
volume = {8},
number = {3},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/MM_1996_8_3_a2/}
}
TY - JOUR
AU - R. G. Airapetyan
AU - E. P. Zhidkov
AU - R. L. Shakhbagyan
TI - Numerical method for solving the inverse scattering problem, based on the asymptotic regularization
JO - Matematičeskoe modelirovanie
PY - 1996
SP - 33
EP - 48
VL - 8
IS - 3
UR - http://geodesic.mathdoc.fr/item/MM_1996_8_3_a2/
LA - ru
ID - MM_1996_8_3_a2
ER -
%0 Journal Article
%A R. G. Airapetyan
%A E. P. Zhidkov
%A R. L. Shakhbagyan
%T Numerical method for solving the inverse scattering problem, based on the asymptotic regularization
%J Matematičeskoe modelirovanie
%D 1996
%P 33-48
%V 8
%N 3
%U http://geodesic.mathdoc.fr/item/MM_1996_8_3_a2/
%G ru
%F MM_1996_8_3_a2
The numerical method for the inverse problem of quantum scattering theory is suggested. It is based on the two asymptotic regularizations: the first one uses the asymptotic behaviours of the phase shift and of the module of the Jost function for high energies, and the second one – the asymptotics by step of the reciprocals to “almost” Toeplitz and Hankel matrices. The last one permits to avoid the unstable procedure of the numerical differentiation.
