@article{ZVMMF_1990_30_10_a12,
author = {V. A. Novikov and A. N. Rogal\"ev},
title = {The influence of the {\textquotedblleft}wrapping{\textquotedblright} effect on finding upper and lower estimates of solutions of systems of ordinary differential equations},
journal = {\v{Z}urnal vy\v{c}islitelʹnoj matematiki i matemati\v{c}eskoj fiziki},
pages = {1593--1596},
year = {1990},
volume = {30},
number = {10},
language = {ru},
url = {http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_10_a12/}
}
TY - JOUR AU - V. A. Novikov AU - A. N. Rogalëv TI - The influence of the “wrapping” effect on finding upper and lower estimates of solutions of systems of ordinary differential equations JO - Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki PY - 1990 SP - 1593 EP - 1596 VL - 30 IS - 10 UR - http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_10_a12/ LA - ru ID - ZVMMF_1990_30_10_a12 ER -
%0 Journal Article %A V. A. Novikov %A A. N. Rogalëv %T The influence of the “wrapping” effect on finding upper and lower estimates of solutions of systems of ordinary differential equations %J Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki %D 1990 %P 1593-1596 %V 30 %N 10 %U http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_10_a12/ %G ru %F ZVMMF_1990_30_10_a12
V. A. Novikov; A. N. Rogalëv. The influence of the “wrapping” effect on finding upper and lower estimates of solutions of systems of ordinary differential equations. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 30 (1990) no. 10, pp. 1593-1596. http://geodesic.mathdoc.fr/item/ZVMMF_1990_30_10_a12/
[1] Moore R. E., Interval analysis, Prentice-Hall, N. J., 1966 | MR | Zbl
[2] Moore R. E., Methods and applications of interval analysis, SIAM, Philadelphia, 1979 | MR | Zbl
[3] Kalmykov S. A., Shokin Yu. I., Yuldashev Z. Kh., Metody intervalnogo analiza, Nauka, Novosibirsk, 1986 | MR | Zbl
[4] Nekrasov S. A., “O postroenii dvustoronnikh priblizhenii k resheniyu zadachi Koshi”, Zh. vychisl. matem. i matem. fiz., 28:5 (1988), 660–668 | MR
[5] Nickel K., “Using interval methods for the numerical solution of ODE's”, Z. angew. Math. und Mech., 66:11 (1986), 513–523 | DOI | MR | Zbl
[6] Chernousko F. L., Otsenivanie fazovogo sostoyaniya dinamicheskikh sistem, Nauka, M., 1988 | MR
[7] Bauch H., “On the iterative inclusion of solution in intervalue problems for ordinary differential equations”, Computing, 22:4 (1979), 339–354 | DOI | MR | Zbl
[8] Bauch H., “Zur iterativen Lösung von Anfangswertaufgaben bei gewöhnlichen Differentialgleichungen”, Zh. vychisl. matem. i matem. fiz., 22 (1982), 309–321 | MR | Zbl
[9] Gambill T., Skeel R., “Logarithmic reduction of the wrapping effects with application to ordinary differential equations”, SIAM J. Numer. Analys., 25:1 (1986), 153–162 | DOI | MR
[10] Verbitskii V. I., Gorban A. I., Usyubaev G. Sh., Shokin Yu. I., “Effekt Mura v intervalnykh prostranstvakh”, Dokl. AN SSSR, 304:1 (1989), 17–22 | MR