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A saddle point finding algorithm for functionals

Clejan

Computer Physics Communications1 Sep 1993Open access

NobleIDark:/48914/w1/20260515/A4B60089DOI10.1016/0010-4655(93)90036-c

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Abstract

We present an algorithm which can be used to find saddle points of non-linear functionals or functions with a large number of variables. The saddle points that can be found have only one unstable direction. The algorithm is tested on a “φ4” functional and yields the well known circular “critical droplet” solution in two dimensions. Saddle points corresponding to two widely separated droplets were also found.

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