Correctness of double-layer multicomponent difference schemes for nonlinear hyperbolic equations
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2006), pp. 50-57.

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A. D. Lyashko; E. M. Fedotov. Correctness of double-layer multicomponent difference schemes for nonlinear hyperbolic equations. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 9 (2006), pp. 50-57. http://geodesic.mathdoc.fr/item/IVM_2006_9_a7/

[1] Abrashin V. N., “Ob odnom variante metoda peremennykh napravlenii resheniya mnogomernykh zadach matematicheskoi fiziki, 1”, Differents. uravneniya, 1990, no. 7, 314– 323

[2] Abrashin V. N., Mukha V. A., “Ob odnom klasse ekonomichnykh raznostnykh skhem resheniya mnogomernykh zadach matematicheskoi fiziki, 1”, Differents. uravneniya, 1992, no. 10, 1786–1799 | MR | Zbl

[3] Asmolik V. A., “Ob odnom klasse lokalno-odnomernykh skhem resheniya mnogomernykh giperbolicheskikh uravnenii vtorogo poryadka proizvolnoi razmernosti”, Differents. uravneniya, 1996, no. 12, 1678–1682 | MR | Zbl

[4] Vabischevich P. N., “Vektornye additivnye raznostnye skhemy dlya evolyutsionnykh uravnenii pervogo poryadka”, Zhurn. vychisl. matem. i matem. fiz., 1996, no. 3, 44– 51

[5] Abrashin V. N., “Ob ustoichivosti raznostnykh skhem mnogokomponentnogo metoda peremennykh napravlenii dlya parabolicheskikh uravnenii i sistem”, Differents. uravneniya, 1999, no. 2, 212–224 | MR | Zbl

[6] Zaitseva S. B., Zlotnik A. A., “Analiz pogreshnosti vektornykh metodov rasschepleniya dlya uravneniya teploprovodnosti na klassakh negladkikh dannykh”, Dokl. RAN, 366:5 (1999), 590–594 | MR

[7] Zaitseva S. B., Zlotnik A. A., “Tochnye otsenki pogreshnosti vektornykh metodov rasschepleniya dlya uravneniya teploprovodnosti”, Zhurn. vychisl. matem. i matem. fiz., 39:3 (1999), 472–491 | MR | Zbl

[8] Samarskii A. A., Vabischevich P. N., Gulin A. V., “Ustoichivost operatorno-raznostnykh skhem”, Differents. uravneniya, 1999, no. 2, 152–187 | MR

[9] Fedotov E. M., “Korrektnost mnogokomponentnykh dvukhsloinykh nelineinykh operatorno-raznostnykh skhem”, Issled. po prikl. matem. i informatike, Izd-vo Kazansk. matem. o-va, Kazan, 2001, 122–134 | MR

[10] Samarskii A. A., Vvedenie v teoriyu raznostnykh skhem, Nauka, M., 1971, 552 pp. | MR | Zbl

[11] Lyashko A. D., Karchevskii M. M., Raznostnye skhemy dlya nelineinykh uravnenii matematicheskoi fiziki, Izd-vo Kazansk. un-ta, Kazan, 1976, 157 pp.

[12] Fedotov E. M., “Ob odnom klasse dvukhsloinykh nelineinykh operatorno-raznostnykh skhem s vesami”, Izv. vuzov. Matematika, 1995, no. 4, 96–103 | MR | Zbl

[13] Fedotov E. M., Raznostnye skhemy dlya nelineinykh nestatsionarnykh zadach, Izd-vo Kazansk. un-ta, Kazan, 1990, 88 pp.

[14] Samarskii A. A., Andreev V. B., Raznostnye metody dlya ellipticheskikh uravnenii, Nauka, M., 1976, 352 pp. | MR | Zbl