Global gronwall for integral curves on riermannian manifolds
- Autores: Hermann Schichl, Michael Kunzinger, Roland Steinbauer, James A. Vickers
- Localización: Revista matemática complutense, ISSN-e 1988-2807, ISSN 1139-1138, Vol. 19, Nº 1, 2006, págs. 133-137
- Idioma: inglés
- DOI: 10.5209/rev_rema.2006.v19.n1.16639
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Resumen
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.
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