Global Gronwall Estimates for Integral Curves on Riemannian Manifolds

Details Global Gronwall Estimates for Integral Curves on Riemannian Manifolds Global Gronwall Estimates for Integral Curves on Riemannian Manifolds

2004-12-02

arxiv.org/abs/math/0412045v3

Rev. Mat. Complut. 19 (2006), no. 1, 133--137.

Mathematics

Differential Geometry

4 pages, 1 figure, correction of some misprints

Scientific paper

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.

Affiliated with

Also associated with

No associations

Rating

Global Gronwall Estimates for Integral Curves on Riemannian Manifolds does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Global Gronwall Estimates for Integral Curves on Riemannian Manifolds, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Global Gronwall Estimates for Integral Curves on Riemannian Manifolds will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-146722