Geodesic
Improving the accuracy of eigenvalues and eigenfunctions of a boundary value problem on semiaxis
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 39 (1999) no. 7, pp. 1098-1118 
E. P. Zhidkov; A. G. Solov'ëv. Improving the accuracy of eigenvalues and eigenfunctions of a boundary value problem on semiaxis. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 39 (1999) no. 7, pp. 1098-1118. http://geodesic.mathdoc.fr/item/ZVMMF_1999_39_7_a5/
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Voir la notice de l'article provenant de la source Math-Net.Ru

[1] Zhidkov E. P., Solovev A. G., “Utochnenie priblizhennykh reshenii kraevoi zadachi na polupryamoi”, Zh. vychisl. matem. i matem. fiz., 37:11 (1997), 1340-1344 ; Р11-96-480, ОИЯИ, Дубна, 1996 | MR | Zbl

[2] Zhidkov E. P., Solovev A. G., “Algoritm chislennogo resheniya kraevoi zadachi na polupryamoi”, Tr. Pervoi otkrytoi nauchn. konf. molodykh uchenykh i spetsialistov OIYaI, OIYaI, Dubna, 1997, 237–241

[3] Zhidkov E. P., Solovev A. G., “Povyshenie tochnosti priblizhennykh reshenii kraevoi zadachi na polupryamoi”, Proc. 9th Internal. Conf. “Computat. Modeling and Comput. Phys.”, OIYaI, Dubna, 1997, 321–326 ; P11-96-153, ОИЯИ, Дубна, 1996 | MR

[4] Abramov A. A., Aslanyan A. A., Balla K., “Sravnenie reshenii progonochnykh uravnenii pri perenose granichnykh uslovii iz beskonechnosti dlya gamiltonovykh lineinykh sistem”, Zh. vychisl. matem. i matem. fiz., 35:12 (1995), 1808–1818 | MR | Zbl

[5] Abramov A. A., Balla K., “O priblizhennykh resheniyakh, osnovannykh na teoremakh sravneniya, skalyarnykh i matrichnykh uravnenii Rikkati na beskonechnom intervale”, Zh. vychisl. matem. i matem. fiz., 33:1 (1993), 35–51 | MR | Zbl

[6] Birger E. S., “Ob otsenke pogreshnosti zameny usloviya ogranichennosti resheniya lineinogo differentsialnogo uravneniya na beskonechnom intervale”, Zh. vychisl. matem. i matem. fiz., 8:3 (1968), 674–678 | MR

[7] Abramov A. A., Ditkin V. V., Konyukhova N. B. i dr., “Vychislenie sobstvennykh znachenii i sobstvennykh funktsii obyknovennykh differentsialnykh uravnenii s osobennostyami”, Zh. vychisl. matem. i matem. fiz., 20:5 (1980), 1155–1173 | MR | Zbl

[8] Konyukhova N. B., Masalovich S. E., Staroverova I. B., “O vychislenii bystroostsilliruyuschikh sobstvennykh funktsii nepreryvnogo spektra i nesobstvennykh integralov ot nikh”, Zh. vychisl. matem. i matem. fiz., 35:3 (1995), 360–379 | MR | Zbl

[9] Konyukhova N. B., Stroverova I. B., “Modifikatsiya fazovogo metoda resheniya singulyarnykh samosopryazhennykh zadach Shturma–Liuvillya”, Zh. vychisl. matem. i matem. fiz., 37:10 (1997), 1183–1200 | MR | Zbl

[10] Sansone Dzh., Obyknovennye differentsialnye uravneniya, v. 1, Izd-vo inostr. lit., M., 1953 | MR

[11] Sansone Dzh., Obyknovennye differentsialnye uravneniya, v. 2, Izd-vo inostr. lit., M., 1954

[12] Bellman R., Teoriya ustoichivosti reshenii differentsialnykh uravnenii, Izd-vo inostr. lit., M., 1954 | MR

[13] Titchmarsh E. Ch., Razlozheniya po sobstvennym funktsiyam, svyazannye s differentsialnymi uravneniyami vtorogo poryadka, v. 1, Izd-vo inostr. lit., M., 1960 | MR

[14] Levitan B. M., Sargsyan I. S., Vvedenie v spektralnuyu teoriyu, Nauka, M., 1970 | MR | Zbl

[15] Akhiezer N. I., Glazman I. M., Teoriya lineinykh operatorov v gilbertovom prostranstve, v. 1, Nauka, M., 1966 | MR | Zbl

[16] Kamke E., Spravochnik po obyknovennym differentsialnym uravneniyam, Nauka, M., 1971 | MR

[17] Samarskii A. A., Teoriya raznostnykh skhem, Nauka, M., 1977 | MR | Zbl