A bisection algorithm for the numerical Mountain Pass
Copyright policy )A bisection algorithm for the numerical Mountain Pass
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.
10 pages, 1 figure
- University of Milano-Bicocca Italy
- University of Milan Italy
- University of Turin Italy
65J15, Dynamical Systems (math.DS), 46T99; 58E05; 65J15, 46T99, 58E05, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Nonlinear Differential Equations,mountain pass, Mathematics - Dynamical Systems
65J15, Dynamical Systems (math.DS), 46T99; 58E05; 65J15, 46T99, 58E05, Mathematics - Classical Analysis and ODEs, Classical Analysis and ODEs (math.CA), FOS: Mathematics, Nonlinear Differential Equations,mountain pass, Mathematics - Dynamical Systems
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