Geodesic
The combination of the establishment method and Newton's method for solving nonlinear differential problems
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 34 (1994) no. 2, pp. 175-184 Cet article a éte moissonné depuis la source Math-Net.Ru

Voir la notice de l'article

@article{ZVMMF_1994_34_2_a1,
     author = {T. Zhanlav and I. V. Puzynin},
     title = {The combination of the establishment method and {Newton's} method for solving nonlinear differential problems},
     journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
     pages = {175--184},
     year = {1994},
     volume = {34},
     number = {2},
     language = {ru},
     url = {http://geodesic.mathdoc.fr/item/ZVMMF_1994_34_2_a1/}
}
TY  - JOUR
AU  - T. Zhanlav
AU  - I. V. Puzynin
TI  - The combination of the establishment method and Newton's method for solving nonlinear differential problems
JO  - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
PY  - 1994
SP  - 175
EP  - 184
VL  - 34
IS  - 2
UR  - http://geodesic.mathdoc.fr/item/ZVMMF_1994_34_2_a1/
LA  - ru
ID  - ZVMMF_1994_34_2_a1
ER  - 
%0 Journal Article
%A T. Zhanlav
%A I. V. Puzynin
%T The combination of the establishment method and Newton's method for solving nonlinear differential problems
%J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki
%D 1994
%P 175-184
%V 34
%N 2
%U http://geodesic.mathdoc.fr/item/ZVMMF_1994_34_2_a1/
%G ru
%F ZVMMF_1994_34_2_a1
T. Zhanlav; I. V. Puzynin. The combination of the establishment method and Newton's method for solving nonlinear differential problems. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 34 (1994) no. 2, pp. 175-184. http://geodesic.mathdoc.fr/item/ZVMMF_1994_34_2_a1/

[1] Samarskii A. A., Teoriya raznostnykh skhem, Nauka, M., 1983 | MR

[2] Bakhvalov N. S., Chislennye metody, Nauka, M., 1976

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

[4] Gavurin M. K., “Nelineinye funktsionalnye uravneniya i nepreryvnye analogi iterativnykh metodov”, Izv. vuzov. Ser. matem., 1958, no. 5(6), 18–31 | MR | Zbl

[5] Zhidkov E. P., Makarenko G. I., Puzynin I. V., “Nepreryvnyi analog metoda Nyutona v nelineinykh zadachakh fiziki”, Fiz. elementarnykh chastits i at. yadra, 4:1 (1973), 127–165 | MR

[6] Aleksandrov L., “Regulyarizovannye vychislitelnye protsessy Nyutona–Kantorovicha”, Zh. vychisl. matem. i matem. fiz., 11:1 (1970), 36–41

[7] Aleksandrov L., “Regulyarizovannye traektorii priblizheniya nyutonovskogo tipa dlya resheniya nelineinykh uravnenii”, Differents. ur-niya, 13:7 (1977), 1281–1292 | MR | Zbl

[8] Zhanlav T., Puzynin I. V., O modifikatsii nepreryvnogo analoga metoda Nyutona, Preprint R11-91 -100, OIYaI, Dubna, 1991 | MR

[9] Krasnoselskii M. A., Vainikko G. M., Zabreiko P. P. i dr., Priblizhennoe reshenie operatornykh uravnenii, Nauka, M., 1969 | MR

[10] Kivistik L. A., “Ob odnoi modifikatsii iteratsionnogo metoda s minimalnymi nevyazkami dlya resheniya nelineinykh operatornykh uravnenii”, Dokl. AN SSSR, 136:1 (1961), 22–25 | MR | Zbl

[11] Trenogin V. A., Funktsionalnyi analiz, Nauka, M., 1980 | MR | Zbl

[12] Glinskaya N. N., Mysovskikh I. P., “O chislennom reshenii granichnoi zadachi dlya nelineinogo obyknovennogo differentsialnogo uravneniya”, Vestn. LGU. Ser. matem., 1954, no. 8, 49–54

[13] Friedman A., “Convergence of solutions of parabolic equations to a steady state”, J. Math. and Mech., 8:1 (1959), 57–76 | MR | Zbl

[14] Shtetter X., Analiz metodov diskretizatsii dlya obyknovennykh differentsialnykh uravnenii, Mir, M., 1978 | MR

[15] Kamke E., Spravochnik po obyknovennym differentsialnym uravneniyam, Nauka, M., 1976 | MR

[16] Kollatts L., Funktsionalnyi analiz i vychislitelnaya matematika, Mir, M., 1969

[17] Zhanlav T., Puzynin I. V., Chislennye skhemy v metode stabilizatsii dlya nelineinykh differentsialnykh uravnenii vtorogo poryadka, Preprint R11-87-722, OIYaI, Dubna, 1987 | MR

[18] Glasko V. B., Leryust F., Terletskii Ya. P., Shushurin S. F., “Issledovanie chastitsepodobnykh reshenii nelineinogo uravneniya skalyarnogo polya”, Zh. eksperim. i teor. fiz., 35:2(8) (1958), 452–457 | Zbl

[19] Nehari Z., “On a nonlinear differential equation arising in nuclear physics”, Proc. Roy. Arish. Acad. A, 62:9 (1963), 118–135 | MR

[20] Zhidkov E. P., Shirikov V. P., Puzynin I. V., Materialy soveschaniya po matem. metodam resheniya zadachi yadernoi fiz., Preprint 2005 (Dubna, 17–20 noyabrya 1964), OIYaI, Dubna, 1965, 13–18

[21] Amirkhanov I. V., Zhidkov E. P., Makarenko G. I., Dostatochnoe uslovie suschestvovaniya polozhitelnogo chastitsepodobnogo resheniya nelineinogo uravneniya skalyarnogo polya, Preprint R5-11-705, OIYaI, Dubna, 1978