Estimation of the Euler method error on a Riemannian manifold

This article presents an estimation of the Euler method on a Riemannian manifold. A distance between the nth iteration of the cascade generated by the time-h map of a gradient flow and the nth iteration of the cascade generated by the Euler method of this flow is estimated. The application possibilities of the presented estimation are also discussed. Copyright © 2002 John Wiley & Sons, Ltd.

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