Issue |
MATEC Web Conf.
Volume 117, 2017
RSP 2017 – XXVI R-S-P Seminar 2017 Theoretical Foundation of Civil Engineering
|
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Article Number | 00135 | |
Number of page(s) | 6 | |
DOI | https://doi.org/10.1051/matecconf/201711700135 | |
Published online | 24 July 2017 |
Revisiting the convergence of successive approximations in the problem of disturbed body motion.
Moscow state university of civil engineering, Yaroslavskoye shosse, 26, Moscow, Russia, 129337
* Corresponding author: verapetelina51@gmail.com
This work discusses the problem of the convergence of Picard’s successive approximations, solving the differential equation system of disturbed body motion through assembling a majorizing linear differential equation. The problem is to determine in which region of variables used these successive approximations will converge and to estimate the error, if a finite number of approximations is used.
© The Authors, published by EDP Sciences, 2017
This is an Open Access article distributed under the terms of the Creative Commons Attribution License 4.0, which permits unrestricted use, distribution, and reproduction in any medium, provided the original work is properly cited.
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