Geodesic
On the ideas, underlying the construction of difference grids
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 43 (2003) no. 6, pp. 787-789 Cet article a éte moissonné depuis la source Math-Net.Ru

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S. K. Godunov. On the ideas, underlying the construction of difference grids. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 43 (2003) no. 6, pp. 787-789. http://geodesic.mathdoc.fr/item/ZVMMF_2003_43_6_a0/

[1] Godunov S. K., Prokopov G. P., “O raschetakh konformnykh otobrazhenii i postroenii raznostnykh setok”, Zh. vychisl. matem. i matem. fiz., 7:5 (1967), 1031–1059 | MR | Zbl

[2] Godunov S. K., “Sur la construction des reseaux dans les domaines compliques d'une facon automatique pour les equations aux difference finies”, Actes du Congres Internat. Math. (1–10 sept., Nice, France, 1970), v. 3, 99–104 | MR | Zbl

[3] Godunov S. K., Deribas A. A., Zabrodin A. V. et al., “Hydrodynamic effects in colliding solids”, J. Comput. Phys., 5:3 (1970), 517–539 | DOI

[4] Schur F., “Ueber die Deformation der Räume konstanten Riemannschen Krümmungsmaasses mit den projectiven Raumen”, Math. Ann., 27 (1886), 169–176 | MR

[5] Kagan V. F., Osnovy teorii poverkhnostei, Gostekhteorizdat, M., 1948 | MR

[6] Godunov S. K., Gordienko V. M., Chumakov G. A., “Variational principle for 2-D regular quasi-isometric grid generation”, Comput. Fluid Dynamics, 5 (1995), 99–118 | DOI | MR

[7] Gordienko B. M., “O chetyrekhugolnikakh na poverkhnostyakh postoyannoi krivizny”, Tr. In-ta matem. SO RAN, 22, Novosibirsk, 1992, 124–133 | MR | Zbl

[8] Chumakov G. A., “Rimanova metrika garmonicheskoi parametrizatsii geodezicheskikh chetyrekhugolnikov na poverkhnostyakh postoyannoi krivizny”, Tr. In-ta matem. SO RAN, 22, Novosibirsk, 1992, 133–151 | MR | Zbl

[9] Gordienko V. M., “Granichnye svoistva konformnykh i kvazikonformnykh otobrazhenii mnogougolnikov”, Sibirskii matem. zhurnal, 33:6 (1992), 966–972 | MR | Zbl

[10] Godunov S. K., Feodoritova O. B., Zhukov V. T., “An algorithm for construction of quasi-isometric grids in curvilinear quadrangular regions”, 16th Internat. Conf. Numer. Meth. Fluid Dynamics, Book of Abstracts, Arcachon, France, 1998, 19–24 | MR

[11] Godunov C. K., “O zadache Minkovskogo”, Dokl. AN SSSR, 59:9 (1948), 1525–1528 | MR | Zbl

[12] Delone B. N., Padurov N., Aleksandrov A., Matematicheskie osnovy strukturnogo analiza kristallov, Gostekhteorizdat, M., 1934

[13] Delone B. N., “Sur la partition reguliere de l'espace a 4 dimensions, 1”, Izv. AN SSSR, 1 (1929), 79–110 ; 147–164 ; 193; 2, 14–26

[14] Delone B. N., “Geometriya polozhitelnykh kvadratichnykh form”, Uspekhi matem. nauk, 3 (1937), 16–62 ; 4 (1938), 103–164

[15] Sofronov I. D., “Raznostnaya skhema s diagonalnymi napravleniyami progonok dlya resheniya uravneniya teploprovodnosti”, Zh. vychisl. matem. i matem. fiz., 5:2 (1965), 347–350 | MR | Zbl

[16] Glagoleva Yu. P., Zhogov B. M., Kiryanov Yu. F. i dr., “Osnovy metodiki “Meduza” chislennogo rascheta dvumernykh nestatsionarnykh zadach gazovoi dinamiki”, Chisl. metody mekhan. sploshnoi sredy, 3, no. 2, VTs SO AN SSSR, Novosibirsk, 1972, 18–55

[17] Godunov S. K., Prokopov G. P., “O reshenii differentsialnykh uravnenii s ispolzovaniem krivolineinykh raznostnykh setok”, Zh. vychisl. matem. i matem. fiz., 8:1 (1968), 28–46 | MR

[18] Bogomolov K. L., Tishkin V. F., “Yacheiki Dirikhle v metrike kratchaishego puti”, Matem. modelirovanie, 15:5 (2003), 71–79 | MR | Zbl