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Minimum of functional

  1. Mar 16, 2005 #1
    Let be F the functional given by

    [tex]J(y)=J(x,y,dy/dx)[/tex]

    my question is,apart from the usual definition of functional derivative and Lagrange equation,..does a numerical method exist to calculate it,i mean am looking for a recursive method,you introduce an initial function y0(x) from this you get a function y1(x) and os on with the limit with n tending to infinty taht d(yn(x),yn+1(x))=0 as n tends to infintiy
     
  2. jcsd
  3. Mar 17, 2005 #2
    Yes it can be done, in the days before the tidy euler-lagrange equation we are presented with, Euler represented a functional as a regular function of infinitely many variables, and differentiated wrt to each variable to find a stationary point.
     
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