Geodesic
Asymptotic estimate of the accuracy of the discrete spectral problem of a fourth-order equation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 31 (1991) no. 3, pp. 372-380 Cet article a éte moissonné depuis la source Math-Net.Ru

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V. G. Prikazchikov. Asymptotic estimate of the accuracy of the discrete spectral problem of a fourth-order equation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 31 (1991) no. 3, pp. 372-380. http://geodesic.mathdoc.fr/item/ZVMMF_1991_31_3_a3/

[1] Pais E. A., “O gladkosti sobstvennykh funktsii szhatoi plastiny okolo uglovykh tochek”, Differents. ur-niya, 9:3 (1973), 1700–1701 | MR

[2] 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

[3] Andreev V. B., “Ustoichivost raznostnykh skhem dlya ellipticheskikh uravnenii chetvertogo poryadka v pryamougolnike po granichnym usloviyam pervogo roda”, Vychisl. metody i programmirovanie, XXVII, Izd-vo MGU, M., 1977, 116–165

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

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

[6] Saulev V. K., “Ob odnom klasse ellipticheskikh uravnenii, reshaemykh pri pomoschi metoda konechnykh raznostei”, Vychisl. matem., 2, VTs AN SSSR, M., 1957, 81–87 | MR

[7] Oganesyan L. A., Rukhovets L. A., Variatsionno-raznostnye metody resheniya ellipticheskikh uravnenii, Izd-vo AN ArmSSR, Erevan, 1979

[8] Samarskii A. A., Lazarov R. D., Makarov V. L., Raznostnye skhemy dlya differentsialnykh uravnenii s obobschennymi resheniyami, Vyssh. shkola, M., 1987

[9] Shishmarev I. A., “O tochnykh otsenkakh sobstvennykh funktsii bigarmonicheskogo operatora”, Dokl. AN SSSR, 170:4 (1966), 790–793 | Zbl

[10] Voitsekhovskii S. A., Makarov V. L., Prikazchikov V. G., “O pogreshnosti metoda setok v zadache na sobstvennye znacheniya dlya obyknovennogo differentsialnogo uravneniya chetvertogo poryadka”, Vychisl. i prikl. matem., 39, Vischa shkola, Kiev, 1979, 138–145 | MR