A bisection algorithm for the numerical Mountain Pass
Preprint
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.Keywords
All Related Versions
This publication has 3 references indexed in Scilit:
- A mountain pass method for the numerical solution of semilinear wave equationsNumerische Mathematik, 1993
- A mountain pass method for the numerical solution of semilinear elliptic problemsNonlinear Analysis, 1993
- Dual variational methods in critical point theory and applicationsJournal of Functional Analysis, 1973