A bisection algorithm for the numerical Mountain Pass
Classical Analysis and ODEs
2007-05-23 v1 Dynamical Systems
Abstract
We propose a constructive proof for the Ambrosetti-Rabinowitz Mountain Pass Theorem providing an algorithm, based on a bisection method, for its implementation. The efficiency of our algorithm, particularly suitable for problems in high dimensions, consists in the low number of flow lines to be computed for its convergence; for this reason it improves the one currently used and proposed by Y.S. Choi and P.J. McKenna.
Cite
@article{arxiv.math/0410284,
title = {A bisection algorithm for the numerical Mountain Pass},
author = {Vivina Barutello and Susanna Terracini},
journal= {arXiv preprint arXiv:math/0410284},
year = {2007}
}
Comments
10 pages, 1 figure