Stability and convergence of the string method for computing minimum energy paths
Numerical Analysis
2018-08-14 v2 Dynamical Systems
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.
Keywords
Cite
@article{arxiv.1807.06094,
title = {Stability and convergence of the string method for computing minimum energy paths},
author = {Brian Van Koten and Mitchell Luskin},
journal= {arXiv preprint arXiv:1807.06094},
year = {2018}
}
Comments
26 pages, 4 figures