Geodesic
High-order accurate difference schemes for elliptic equations in a domain with a curvilinear boundary
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 40 (2000) no. 2, pp. 223-232
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A. V. Shapeev; V. P. Shapeev. High-order accurate difference schemes for elliptic equations in a domain with a curvilinear boundary. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 40 (2000) no. 2, pp. 223-232. http://geodesic.mathdoc.fr/item/ZVMMF_2000_40_2_a5/

[1] Lele S. K., “Compact finite difference schemes with spectral-like resolution”, J. Comput. Phys., 102:1 (1992), 16–42 | DOI | MR

[2] Godunov C. K., Ryabenkii B. C., Raznostnye skhemy, Nauka, M., 1993

[3] Samarskii A. A., Teoriya raznostnykh skhem, Nauka, M., 1998 | Zbl

[4] Mikeladze Sh. E., Izbrannye trudy, v. 1, Metsniereba, Tbilisi, 1979 | MR | Zbl

[5] Valiullin A. N., Ganzha V. G., Murzin F. A. i dr., “Zadacha avtomaticheskogo postroeniya i issledovaniya na EVM raznostnykh skhem v analiticheskom vide”, Dokl. AN SSSR, 275:3 (1984), 528–532 | MR | Zbl

[6] Valiullin A. N., Ganzha V. G., Murzin F. A. i dr., Primenenie simvolnykh preobrazovanii na EVM dlya issledovaniya i postroeniya raznostnykh skhem, Preprint, ITPM SO AN SSSR, Novosibirsk, 1981, 7–81

[7] Shapeev A. V., Shapeev V. P., “Raznostnye skhemy povyshennogo poryadka tochnosti resheniya kraevykh zadach dlya lineinykh ellipticheskikh uravnenii v oblasti s krivolineinoi granitsei”, Materialy XXXVI Mezhdunar. studencheskoi konf. Matematika (Novosibirsk, 1998), 121–122

[8] Shapeev A. V., Shapeev V. P., “Raznostnye skhemy povyshennogo poryadka tochnosti resheniya kraevykh zadach dlya lineinykh ellipticheskikh uravnenii v oblasti s krivolineinoi granitsei”, III Sibirskii kongress po prikl. i industr. matem., Tezisy dokl. Ch. 2, IM SO RAN, Novosibirsk, 1998, 30

[9] Valiullin A. N., Skhemy povyshennoi tochnosti dlya zadach matematicheskoi fiziki, Izd-vo NGU, Novosibirsk, 1973

[10] Ikramov Kh. D., Chislennoe reshenie matrichnykh uravnenii, Nauka, M., 1984 | MR | Zbl