Geodesic
Construction of convergent upper and lower bounds of solutions of systems of ordinary differential equations with interval initial data
Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 33 (1993) no. 2, pp. 219-231 Cet article a éte moissonné depuis la source Math-Net.Ru

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V. A. Novikov; A. N. Rogalev. Construction of convergent upper and lower bounds of solutions of systems of ordinary differential equations with interval initial data. Žurnal vyčislitelʹnoj matematiki i matematičeskoj fiziki, Tome 33 (1993) no. 2, pp. 219-231. http://geodesic.mathdoc.fr/item/ZVMMF_1993_33_2_a5/

[1] Moore R. E., Interval analysis, Prentice-Hall, Englewood Cliffs, 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] 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

[5] Gambill T., Skeel R., “Logarithmic reduction of the wrapping effect with application to ordinary differential equations”, SIAM J. Numer. Analys., 25:1 (1988), 153–162 | DOI | MR | Zbl

[6] Verbitskii V. I., Gorban A. N., Utyubaev G. Sh., Shokin Yu. I., “Effekt Mura v intervalnykh prostranstvakh”, Dokl. AN SSSR, 304:1 (1989), 17–22 | MR

[7] Ehle B., “A-stable methods and Pade approximants to the exponential”, SIAM J. Math. Analys., 4 (1973), 671–680 | DOI | MR | Zbl

[8] Beiker Dzh., Greivs-Morris P., Approksimatsii Pade, Mir, M., 1986 | MR

[9] Khairer E., Nersett S., Vanner G., Reshenie obyknovennykh differentsialnykh uravnenii, Mir, M., 1990 | MR

[10] Babenko K. I., Osnovy chislennogo analiza, Nauka, M., 1986 | MR