On numerical solution of a scattering problem. Analysis of numerical results
Vladikavkazskij matematičeskij žurnal, Tome 15 (2013) no. 1, pp. 65-70
Sh. S. Khubezhty; A. O. Tsutsaev. On numerical solution of a scattering problem. Analysis of numerical results. Vladikavkazskij matematičeskij žurnal, Tome 15 (2013) no. 1, pp. 65-70. http://geodesic.mathdoc.fr/item/VMJ_2013_15_1_a7/
@article{VMJ_2013_15_1_a7,
     author = {Sh. S. Khubezhty and A. O. Tsutsaev},
     title = {On numerical solution of a~scattering problem. {Analysis} of numerical results},
     journal = {Vladikavkazskij matemati\v{c}eskij \v{z}urnal},
     pages = {65--70},
     year = {2013},
     volume = {15},
     number = {1},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/VMJ_2013_15_1_a7/}
}
TY  - JOUR
AU  - Sh. S. Khubezhty
AU  - A. O. Tsutsaev
TI  - On numerical solution of a scattering problem. Analysis of numerical results
JO  - Vladikavkazskij matematičeskij žurnal
PY  - 2013
SP  - 65
EP  - 70
VL  - 15
IS  - 1
UR  - http://geodesic.mathdoc.fr/item/VMJ_2013_15_1_a7/
LA  - ru
ID  - VMJ_2013_15_1_a7
ER  - 
%0 Journal Article
%A Sh. S. Khubezhty
%A A. O. Tsutsaev
%T On numerical solution of a scattering problem. Analysis of numerical results
%J Vladikavkazskij matematičeskij žurnal
%D 2013
%P 65-70
%V 15
%N 1
%U http://geodesic.mathdoc.fr/item/VMJ_2013_15_1_a7/
%G ru
%F VMJ_2013_15_1_a7

Voir la notice de l'article provenant de la source Math-Net.Ru

Numerical results for the Lippmann–Schwinger equation obtained with the application of the associated second kind Legendre function are described and analyzed. The effectiveness of the constructed computational scheme is illustrated.

[1] Sanikidze D. G., “Primenenie priblizhennykh formul dlya integralov s yadrom Koshi dlya chislennogo resheniya zadach rasseyaniya”, Tr. XIII mezhdunar. simpoziuma (MDOZMF–2007), Kharkov–Kherson, 2007, 254–257

[2] Sanikidze D. G., Khubezhty Sh. S., “O vychislitelnoi skheme povyshennoi tochnosti dlya resheniya odnogo klassa singulyarnykh uravnenii”, Tr. XIV mezhdunar. simpoziuma (MDOZMF–2009), Ch. 1, Kharkov–Kherson, 2009, 164–167

[3] Khubezhty Sh. S., “Chislennoe reshenie odnoi zadachi rasseyaniya s primeneniem nulei Funktsii Lezhandra”, Vladikavk. mat. zhurn., 13:1 (2011), 71–77 | MR | Zbl

[4] Teilor Dzh., Teoriya rasseyaniya, Mir, M., 1975, 566 pp.

[5] Hartel M. I., Tabakin F., “Nuclear saturation and smoothness of nucleon-nucleon potentials”, Nuclear Physics A, 158 (1970), 1–42 | DOI

[6] Sege G., Ortogonalnye mnogochleny, Fizmatiz, M., 1962, 500 pp.

[7] Lifanov I. K., Metod singulyarnykh integralnykh uravnenii i chislennyi eksperiment, TOO “Yanuc”, M., 1995, 520 pp. | MR | Zbl

[8] Krylov V. I., Shulgin L. T., Spravochnaya kniga po chislennomu integrirovaniyu, Nauka, M., 1966, 370 pp. | MR