Geodesic
Application of discrete nets on a hyperbolic plane in the integration of equations of the Lobachevski class
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 39 (1999) no. 6, pp. 932-942 
A. G. Popov. Application of discrete nets on a hyperbolic plane in the integration of equations of the Lobachevski class. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 39 (1999) no. 6, pp. 932-942. http://geodesic.mathdoc.fr/item/ZVMMF_1999_39_6_a6/
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Voir la notice de l'article provenant de la source Math-Net.Ru

[1] Poznyak E. G., Popov A. G., “Geometriya Lobachevskogo i uravneniya matematicheskoi fiziki”, Dokl. RAN, 331:4 (1993), 418–421 | MR

[2] Poznyak E. G., Popov A. G., “Non-Euclidean geometry: Gauss formula and interpretation of the partial differential equations”, J. Math. Sci., 73:3 (1996), 241–252 | DOI | MR

[3] Chebyshev P. L., “O kroike odezhdy”, Uspekhi matem. nauk, 1:2 (1946), 38–42 | MR | Zbl

[4] Poznyak E. G., “Geometricheskaya interpretatsiya regulyarnykh reshenii uravneniya $z_{xy}=\sin z$”, Differents. ur-niya, 15:7 (1979), 1332–1336 | MR | Zbl

[5] Poznyak E. G., Popov A. G., “Geometriya uravneniya sin-Gordona”, Itogi nauki i tekhn. (VINITI). Probl. geometrii, 23, 1991, 99–130 | MR

[6] Smogorzhevskii A. S., Geometricheskie postroeniya na ploskosti Lobachevskogo, Gostekhteorizdat, M., L., 1951

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

[8] Sauer R., “Parallelogrammgitter als Modelle pseudospharischer Flachen”, Math. Z, 52 (1950), 611–622 | DOI | MR | Zbl