Geodesic
The numerical solution of initial-boundary value problems for the Sobolev type equations on quasi-uniform grids
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 44 (2004) no. 3, pp. 493-513 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{ZVMMF_2004_44_3_a9,
     author = {A. B. Alshin and E. A. Alshina and A. A. Boltnev and O. A. Kacher and P. V. Koryakin},
     title = {The numerical solution of initial-boundary value problems for the {Sobolev} type equations on quasi-uniform grids},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {493--513},
     year = {2004},
     volume = {44},
     number = {3},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_2004_44_3_a9/}
}
TY  - JOUR
AU  - A. B. Alshin
AU  - E. A. Alshina
AU  - A. A. Boltnev
AU  - O. A. Kacher
AU  - P. V. Koryakin
TI  - The numerical solution of initial-boundary value problems for the Sobolev type equations on quasi-uniform grids
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 2004
SP  - 493
EP  - 513
VL  - 44
IS  - 3
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_2004_44_3_a9/
LA  - ru
ID  - ZVMMF_2004_44_3_a9
ER  - 
%0 Journal Article
%A A. B. Alshin
%A E. A. Alshina
%A A. A. Boltnev
%A O. A. Kacher
%A P. V. Koryakin
%T The numerical solution of initial-boundary value problems for the Sobolev type equations on quasi-uniform grids
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 2004
%P 493-513
%V 44
%N 3
%U http://geodesic.mathdoc.fr/item/ZVMMF_2004_44_3_a9/
%G ru
%F ZVMMF_2004_44_3_a9
A. B. Alshin; E. A. Alshina; A. A. Boltnev; O. A. Kacher; P. V. Koryakin. The numerical solution of initial-boundary value problems for the Sobolev type equations on quasi-uniform grids. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 44 (2004) no. 3, pp. 493-513. http://geodesic.mathdoc.fr/item/ZVMMF_2004_44_3_a9/

[1] Sobolev S. L., “Ob odnoi novoi zadache matematicheskoi fiziki”, Izv. AH CSSR. Ser. matem., 18:1 (1954), 3–50 | MR | Zbl

[2] Gabov S. A., Sveshnikov A. G., Lineinye zadachi teorii nestatsionarnykh vnutrennikh voln, Nauka, M., 1990 | MR

[3] Gabov S. A., Novye zadachi matematicheskoi teorii voln, Nauka, M., 1998 | Zbl

[4] Demidenko G. V., Uspenskii S. V., Uravneniya i sistemy, ne razreshennye otnositelno starshei proizvodnoi, Nauchn. kniga, Novosibirsk, 1998 | MR | Zbl

[5] Kalitkin N. N., Kuznetsov N. O., Panchenko S. L., “Metod kvaziravnomernykh setok v beskonechnoi oblasti”, Dokl. RAN, 374:5 (2000), 598–601 | MR | Zbl

[6] Alshina E. A., Kalitkin N. N., “Vychislenie spektrov lineinykh differentsialnykh operatorov”, Dokl. RAN, 380:4 (2001), 443–447 | MR

[7] Alshina E. A., Kalitkin N. N., Panchenko S. L., “Chislennoe reshenie kraevykh zadach v neogranichennykh oblastyakh”, Matem. modelirovanie, 14:11 (2002), 10–22 | MR

[8] Korpusov M. O., Sveshnikov A. G., “Trekhmernye nelineinye evolyutsionnye uravneniya psevdoparabolicheskogo tipa v zadachakh matematicheskoi fiziki”, Zh. vychisl. matem. i matem. fiz., 43:12 (2003), 1835–1869 | MR | Zbl

[9] Alshin A. B., Alshina E. A., “Chislennoe reshenie nachalno-kraevykh zadach dlya uravnenii sostavnogo tipa v neogranichennykh oblastyakh”, Zh. vychisl. matem. i matem. fiz., 42:12 (2002), 1796–1803 | MR

[10] Kalitkin H. H., Chislennye metody, Nauka, M., 1978 | MR

[11] Alshin A. B., Perova L. V., “O kolebaniyakh stratifitsirovannoi vraschayuscheisya zhidkosti, vozbuzhdaemykh volnoi, beguschei po naklonnomu dnu”, Zh. vychisl. matem. i matem. fiz., 40:3 (2000), 473–482 | MR

[12] Peaceman D. W., Rachford H. H., “The numerical solution of parabolic and elliptic differential equations”, J. Soc. Industr. Appl. Math., 3:1 (1955), 28–42 | DOI | MR

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