A grid approximation for the Riemann problem in the case of the Burgers equation
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 38 (1998) no. 8, pp. 1418-1420 Cet article a éte moissonné depuis la source Math-Net.Ru

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G. I. Shishkin. A grid approximation for the Riemann problem in the case of the Burgers equation. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 38 (1998) no. 8, pp. 1418-1420. http://geodesic.mathdoc.fr/item/ZVMMF_1998_38_8_a16/

[1] Rozhdestvenskii B. L., Yanenko N. N., Sistemy kvazilineinykh uravnenii i ikh prilozheniya k gazovoi dinamike, Nauka, M., 1968

[2] Samarskii A. A., Popov Yu. P., Raznostnye metody resheniya zadachi gazovoi dinamiki, Nauka, M., 1992

[3] Ladyzhenskaya O. A., Solonnikov V. A., Uraltseva N. N., Lineinye i kvazilineinye uravneniya parabolicheskogo tipa, Nauka, M., 1967

[4] Samarskii A. A., Teoriya raznostnykh skhem, Nauka, M., 1989

[5] Dulan E., Miller Dzh., Shilders U., Ravnomernye chislennye metody resheniya zadach s pogranichnym sloem, Mir, M., 1983

[6] Bakhvalov N. S., “K optimizatsii metodov resheniya kraevykh zadach pri nalichii pogranichnogo sloya”, Zh. vychisl. matem. i matem. fiz., 9:4 (1969), 841–859 | Zbl

[7] Shishkin G. I., “Raznostnaya skhema dlya singulyarno vozmuschennogo uravneniya parabolicheskogo tipa s razryvnym nachalnym usloviem”, Dokl. AN SSSR, 300:5 (1988), 1066–1070 | Zbl

[8] Shishkin G. I., “Raznostnaya skhema dlya singulyarno vozmuschennogo uravneniya parabolicheskogo tipa s razryvnym granichnym usloviem”, Zh. vychisl. matem. i matem. fiz., 28:11 (1988), 1649–1662 | MR

[9] Hemker P. W., Shishkin G. I., “Discrete approximation of singularly perturbed parabolic PDEs with a discontinuous initial condition”, Comput. Fluid Dynamics J., 2:4 (1994), 375–392

[10] Shishkin G. I., “Raznostnaya approksimatsiya singulyarno vozmuschennoi kraevoi zadachi dlya kvazilineinykh ellipticheskikh uravnenii, vyrozhdayuschikhsya v uravnenie pervogo poryadka”, Zh. vychisl. matem. i matem. fiz., 32:4 (1992), 550–566 | MR | Zbl