منابع مشابه
Computing Mountain Passes
We propose the elastic string algorithm for computing mountain passes in finitedimensional problems. We analyze the convergence properties and numerical performance of this algorithm for benchmark problems in chemistry and discretizations of infinite-dimensional variational problems. We show that any limit point of the elastic string algorithm is a path that crosses a critical point at which th...
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Variational methods find solutions of equations by considering a solution as a critical point of an appropriately chosen function. Local minima and maxima are well-known types of critical points. We explore methods for finding critical points that are neither local maxima or minima, but instead are mountain passes or saddle points. Criteria for the existence of minima or maxima are well-known, ...
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ژورنال
عنوان ژورنال: BMJ
سال: 1998
ISSN: 0959-8138,1468-5833
DOI: 10.1136/bmj.316.7130.493f