@article{ZVMMF_1996_36_8_a8,
author = {G. Yu. Kulikov},
title = {Convergence theorems for iterative {Runge{\textendash}Kutta} methods with a constant integration step},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {73--89},
year = {1996},
volume = {36},
number = {8},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1996_36_8_a8/}
}
TY - JOUR AU - G. Yu. Kulikov TI - Convergence theorems for iterative Runge–Kutta methods with a constant integration step JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 1996 SP - 73 EP - 89 VL - 36 IS - 8 UR - http://geodesic.mathdoc.fr/item/ZVMMF_1996_36_8_a8/ LA - ru ID - ZVMMF_1996_36_8_a8 ER -
G. Yu. Kulikov. Convergence theorems for iterative Runge–Kutta methods with a constant integration step. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 36 (1996) no. 8, pp. 73-89. http://geodesic.mathdoc.fr/item/ZVMMF_1996_36_8_a8/
[1] Kulikov G. Yu., “Ob odnom sposobe chislennogo resheniya avtonomnoi zadachi Koshi s algebraicheskoi svyazyu na fazovye peremennye”, Vestn. MGU. Ser. matem., mekhan., 1992, no. 1, 14–19 | MR | Zbl
[2] Kulikov G. Yu., “O chislennom reshenii avtonomnoi zadachi Koshi s algebraicheskoi svyazyu na fazovye peremennye”, Zh. vychisl. matem. i matem. fiz., 33:4 (1993), 522–540 | MR | Zbl
[3] Kulikov G. Yu., “O chislennom reshenii avtonomnoi zadachi Koshi s algebraicheskoi svyazyu na fazovye peremennye (nevyrozhdennyi sluchai)”, Vestn. MGU. Ser. matem., mekhan., 1993, no. 3, 10–14 | MR
[4] Kulikov G. Yu., “Prakticheskaya realizatsiya i effektivnost chislennykh metodov resheniya zadachi Koshi s algebraicheskoi svyazyu”, Zh. vychisl. matem. i matem. fiz., 34:11 (1994), 1617–1631 | MR | Zbl
[5] Hairer E., Wanner G., Solving ordinary differential equations, v. II, Stiff and differential-algebraic problems, Springer, Berlin, 1991 | MR | Zbl
[6] Hairer R., Lubich C., Roche M., The numerical solution of differential-algebraic systems by Runge-Kutta methods, Lect. Notes. Math., 1409, Springer, Berlin, 1989 | MR | Zbl
[7] Jackson K. R., Kvarno A., Norsett S. P., “The use of Butcher series in the analysis of Newton-like iterations in Runge-Kutta formulas”, Appl. Numer. Math., 1994, no. 15, 341–356 | DOI | MR | Zbl
[8] Khairer E., Nesett S., Vanner G., Reshenie obyknovennykh differentsialnykh uravnenii. Nezhestkie zadachi, Mir, M., 1990 | MR
[9] Arushanyan O. B., Zaletkin S. F., Chislennoe reshenie obyknovennykh differentsialnykh uravnenii na Fortrane, Izd-vo MGU, M., 1990 | MR | Zbl
[10] Ortega Dzh., Reinboldt V., Iteratsionnye metody resheniya nelineinykh sistem so mnogimi neizvestnymi, Mir, M., 1975
[11] Kulikov G. Yu., Chislennoe reshenie zadachi Koshi s algebraicheskoi svyazyu na fazovye peremennye (s prilozheniyami v meditsinskoi kibernetike), Dis. ...kand. fiz.-matem. nauk, VTs RAN, M., 1994