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arXiv · 1807.06094

Stability and convergence of the string method for computing minimum energy paths

Brian Van Koten·Mitchell Luskin
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Abstract

We analyze the convergence of the string method of E, Ren, and Vanden-Eijnden to a minimum energy path. Under some assumptions relating to the critical points on the minimum energy path, we show that the string method initialized in a neighborhood of the minimum energy path converges to an arbitrarily small neighborhood of the minimum energy path as the number of images is increased.

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Brian Van Koten, Mitchell Luskin. 2018-08-10. Stability and convergence of the string method for computing minimum energy paths. https://arxiv.org/abs/1807.06094

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