Geodesic
Numerical integration of ordinary differential equations using parametric regularization
Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2001), pp. 7-14 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{IVM_2001_7_a1,
     author = {Yu. G. Bulychev},
     title = {Numerical integration of ordinary differential equations using parametric regularization},
     journal = {Izvesti\^a vys\v{s}ih u\v{c}ebnyh zavedenij. Matematika},
     pages = {7--14},
     year = {2001},
     number = {7},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/IVM_2001_7_a1/}
}
TY  - JOUR
AU  - Yu. G. Bulychev
TI  - Numerical integration of ordinary differential equations using parametric regularization
JO  - Izvestiâ vysših učebnyh zavedenij. Matematika
PY  - 2001
SP  - 7
EP  - 14
IS  - 7
UR  - http://geodesic.mathdoc.fr/item/IVM_2001_7_a1/
LA  - ru
ID  - IVM_2001_7_a1
ER  - 
%0 Journal Article
%A Yu. G. Bulychev
%T Numerical integration of ordinary differential equations using parametric regularization
%J Izvestiâ vysših učebnyh zavedenij. Matematika
%D 2001
%P 7-14
%N 7
%U http://geodesic.mathdoc.fr/item/IVM_2001_7_a1/
%G ru
%F IVM_2001_7_a1
Yu. G. Bulychev. Numerical integration of ordinary differential equations using parametric regularization. Izvestiâ vysših učebnyh zavedenij. Matematika, no. 7 (2001), pp. 7-14. http://geodesic.mathdoc.fr/item/IVM_2001_7_a1/

[1] Samarskii A. A., Gulin A. V., Chislennye metody, Nauka, M., 1989, 432 pp. | MR

[2] Ivanov V. V., Metody vychislenii na EVM, Spravochnoe posobie, Nauk. dumka, Kiev, 1986, 583 pp. | MR

[3] Rakitskii Yu. V., Ustinov S. M., Chernorutskii N. G., Chislennye metody resheniya zhestkikh sistem, Nauka, M., 1979, 208 pp. | MR

[4] Grigolyuk E. I., Shalashilin V. I., Problemy nelineinogo deformirovaniya, Nauka, M., 1988, 230 pp. | MR | Zbl

[5] Kuznetsov E. B., Shalashilin V. I., “Zadacha Koshi kak zadacha prodolzheniya resheniya po parametru”, Zhurn. vychisl. matem. i matem. fiz., 33:12 (1993), 1792–1805 | MR | Zbl

[6] Artemev S. S., “Ustoichivost v srednem kvadratichnom chislennykh metodov resheniya stokhasticheskikh differentsialnykh uravnenii”, Dokl. RAN, 333:4 (1993), 421–422

[7] Curtiss C. F., Hirschfelder J. O., “Integration of stiff equation”, Proc. Nat. Acad. Sci. USA, 38:3 (1952), 235–242 | DOI | MR

[8] Fedorenko R. P., Vvedenie v vychislitelnuyu fiziku, MFTI, M., 1994, 526 pp.

[9] Bulychev Yu. G., Eliseev A. V., “Ispolzovanie metoda opornykh integralnykh krivykh dlya preodoleniya zhestkosti uravnenii nelineinoi filtratsii”, Teoriya i sistemy upravleniya, 1998, no. 3, 8–14 | MR | Zbl

[10] Bulychev Yu. G., “Obschaya teoriya priblizhennykh metodov postroeniya parametrizovannykh reshenii lineinykh differentsialnykh uravnenii”, Differents. uravneniya, 34:3 (1998), 395–402 | MR | Zbl