A bisection algorithm for the numerical Mountain Pass
经典分析与常微分方程
2007-05-23 v1 动力系统
摘要
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.
引用
@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}
}
备注
10 pages, 1 figure