Geodesic
A~method for solving a~nonlinear transport equation
Sibirskij žurnal industrialʹnoj matematiki, Tome 6 (2003) no. 1, pp. 154-162.

Voir la notice de l'article provenant de la source Math-Net.Ru

@article{SJIM_2003_6_1_a16,
     author = {A. S. Yakimov},
     title = {A~method for solving a~nonlinear transport equation},
     journal = {Sibirskij \v{z}urnal industrialʹnoj matematiki},
     pages = {154--162},
     publisher = {mathdoc},
     volume = {6},
     number = {1},
     year = {2003},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/SJIM_2003_6_1_a16/}
}
TY  - JOUR
AU  - A. S. Yakimov
TI  - A~method for solving a~nonlinear transport equation
JO  - Sibirskij žurnal industrialʹnoj matematiki
PY  - 2003
SP  - 154
EP  - 162
VL  - 6
IS  - 1
PB  - mathdoc
UR  - http://geodesic.mathdoc.fr/item/SJIM_2003_6_1_a16/
LA  - ru
ID  - SJIM_2003_6_1_a16
ER  - 
%0 Journal Article
%A A. S. Yakimov
%T A~method for solving a~nonlinear transport equation
%J Sibirskij žurnal industrialʹnoj matematiki
%D 2003
%P 154-162
%V 6
%N 1
%I mathdoc
%U http://geodesic.mathdoc.fr/item/SJIM_2003_6_1_a16/
%G ru
%F SJIM_2003_6_1_a16
A. S. Yakimov. A~method for solving a~nonlinear transport equation. Sibirskij žurnal industrialʹnoj matematiki, Tome 6 (2003) no. 1, pp. 154-162. http://geodesic.mathdoc.fr/item/SJIM_2003_6_1_a16/

[1] Marchuk G. I., Matematicheskoe modelirovanie v probleme okruzhayuschei sredy, Nauka, M., 1982 | MR

[2] Grishin A. M., Fomin V. M., Sopryazhennye i nestatsionarnye zadachi mekhaniki reagiruyuschikh sred, Nauka, Novosibirsk, 1984

[3] Gardner M. F., Berns D. L., Perekhodnye protsessy v lineinykh sistemakh s sosredotochennymi postoyannymi, Fizmatgiz, M., 1961

[4] Dech G., Rukovodstvo k prakticheskomu primeneniyu preobrazovanii Laplasa, Fizmatgiz, M., 1960 | MR

[5] Lykov A. V., “Metody resheniya nelineinykh uravnenii nestatsionarnoi teploprovodnosti”, Izv. AN SSSR. Ser. Energetika i transport, 1970, no. 5, 109–150 | Zbl

[6] Ditkin V. A., Prudnikov A. P., Operatsionnoe ischislenie, Vyssh. shkola, M., 1966 | Zbl

[7] Bellman R., Kalaba R., Kvazilinearizatsiya i nelineinye kraevye zadachi, Mir, M., 1968 | Zbl

[8] S. K. Godunov, A. V. Zabrodin, M. Ya. Ivanov i dr. (red.), Chislennoe reshenie mnogomernykh zadach gazovoi dinamiki, Nauka, M., 1976 | MR | Zbl

[9] Kovenya V. M., Yanenko N. N., Metod rasschepleniya v zadachakh gazovoi dinamiki, Nauka, Novosibirsk, 1981 | MR | Zbl

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

[11] Grishin A. M., Yakimov A. S., “Ob odnom metode resheniya nekotorykh trekhmernykh uravnenii v chastnykh proizvodnykh”, Vychisl. tekhnologii, 5:5 (2000), 38–52 | MR | Zbl

[12] Yakimov A. S., “Ob odnom metode resheniya lineinogo uravneniya perenosa”, Vychisl. tekhnologii, 4:10 (1995), 322–332

[13] Kantorovich L. V., “Funktsionalnyi analiz i prikladnaya matematika”, Uspekhi mat. nauk, 3:6 (1948), 89–185 | MR | Zbl

[14] Grishin A. M., Iakimov A. S., “Method of solving non-linear parabolic equation”, Proc. Intern. Conf. on Computational Mathematics. ICM and MG SD RAS, Part 2, Novosibirsk, 2002, 437–443 | MR

[15] Matveev N. M., Metody integrirovaniya obyknovennykh differentsialnykh uravnenii, Vyssh. shkola, M., 1967 | Zbl