Global Gronwall Estimates for Integral Curves on Riemannian Manifolds

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We prove Gronwall-type estimates for the distance of integral curves of smooth vector fields on a Riemannian manifold. Such estimates are of central importance for all methods of solving ODEs in a verified way, i.e., with full control of roundoff errors. Our results may therefore be seen as a prerequisite for the generalization of such methods to the setting of Riemannian manifolds.
4 pages, 1 figure, correction of some misprints

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Differential Geometry, Classical Analysis and ODEs, 53B21; 53C22; 34A26

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http://salesiana.dossiersoluciones.com/handle/123456789/100965

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/math/0412045
 http://arxiv.org/abs/math/0412045
 Rev. Mat. Complut. 19 (2006), no. 1, 133--137.

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arXiv