Global Gronwall Estimates for Integral Curves on Riemannian Manifolds

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dc.creatorKunzinger, Michael
dc.creatorSchichl, Hermann
dc.creatorSteinbauer, Roland
dc.creatorVickers, James A.
dc.date2004-12-02
dc.date2006-01-31
dc.date.accessioned2026-07-07T06:39:07Z
dc.date.available2026-07-07T06:39:07Z
dc.descriptionWe 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.
dc.description4 pages, 1 figure, correction of some misprints
dc.identifierhttps://arxiv.org/abs/math/0412045
dc.identifierhttp://arxiv.org/abs/math/0412045
dc.identifierRev. Mat. Complut. 19 (2006), no. 1, 133--137.
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/100965
dc.subjectDifferential Geometry
dc.subjectClassical Analysis and ODEs
dc.subject53B21; 53C22; 34A26
dc.titleGlobal Gronwall Estimates for Integral Curves on Riemannian Manifolds
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