STABILITY AND CONVERGENCE OF THE STRING METHOD
Brian Van Koten
University of Chicago
We give an analysis of the stability and convergence of the improved string method of E, Ren, and Vanden-Eijnden to a minimum energy path. In the simplest setting of an index one saddle point connecting two linearly stable local minimum, we show that the string method initialized in a neighborhood of a minimum energy path converges to an arbitrarily small neighborhood of the minimum energy path as the number of images is increased.
Joint work with Mitchell Luskin
