Geodesic
The leading term of the error expansion for eigenvalues of a discrete analogue of a fourth-order elliptic operator
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 32 (1992) no. 7, pp. 1016-1024 Cet article a éte moissonné depuis la source Math-Net.Ru

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V. G. Prikazchikov. The leading term of the error expansion for eigenvalues of a discrete analogue of a fourth-order elliptic operator. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 32 (1992) no. 7, pp. 1016-1024. http://geodesic.mathdoc.fr/item/ZVMMF_1992_32_7_a3/

[1] Samarskii A. A., Andreev V. B., Raznostnye metody dlya ellipticheskikh uravnenii, Nauka, M., 1976 | MR | Zbl

[2] Vazov V., Forsait D., Raznostnye metody resheniya differentsialnykh uravnenii v chastnykh proizvodnykh, Mir, M., 1963 | MR

[3] Prikazchikov V. G., “Asimptoticheskaya otsenka tochnosti diskretnoi spektralnoi zadachi”, Zh. vychisl. matem. i matem. fiz., 31:4 (1991), 618–622 | MR

[4] Prikazchikov V. G., Allanazarov Zh. P., “Skhema chetvertogo poryadka tochnosti v spektralnoi zadache dlya uravneniya so smeshannoi proizvodnoi”, Differents. ur-niya, 25:7 (1989), 1250–1255 | MR

[5] Prikazchikov V. G., Allanazarov Zh. P., “Skhema chetvertogo poryadka tochnosti v spektralnoi zadache s peremennymi koeffitsientami”, Differents. ur-niya, 26:12 (1990), 2153–2156 | MR

[6] Prikazchikov V. G., “Asimptoticheskaya otsenka tochnosti diskretnoi spektralnoi zadachi dlya uravneniya chetvertogo poryadka”, Zh. vychisl. matem. i matem. fiz., 31:3 (1991), 372–380 | MR

[7] Syarle F., Metod konechnykh elementov dlya ellipticheskikh zadach, Mir, M., 1980 | MR

[8] Ladyzhenskaya O. A., Uraltseva N. N., Lineinye i kvazilineinye uravneniya ellipticheskogo tipa, Nauka, M., 1973 | MR

[9] Prikazchikov V. G., “Raznostnaya zadacha na sobstvennye znacheniya dlya ellipticheskogo operatora chetvertogo poryadka”, Zh. vychisl. matem. i matem. fiz., 17:6 (1977), 1432–1442 | MR | Zbl

[10] Oganesyan A. A., Rukhovets L. A., Variatsionno raznostnye metody resheniya ellipticheskikh uravnenii, AN ArmSSR, Erevan, 1979

[11] Prikazchikov V. G., Khimich A. N., “Raznostnaya zadacha na sobstvennye znacheniya dlya ellipticheskogo operatora chetvertogo poryadka so smeshannymi kraevymi usloviyami”, Zh. vychisl. matem. i matem. fiz., 25:10 (1985), 1486–1495 | MR

[12] Ladyzhenskaya O. A., Kraevye zadachi matematicheskoi fiziki, Nauka, M., 1973 | MR