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Rayleigh quotient

  1. Nov 20, 2005 #1
    Use the Rayleight quotient to find a good approximation for the principal eigenvalue of the Sturm-Liouville problem.
    [tex] u'' + (\lambda - x^2)u = 0 [/tex]
    [tex] 0 < x < 0 [/tex]
    [tex] u(0) = u'(1) = 0 [/tex]
    Any help?
     
  2. jcsd
  3. Nov 21, 2005 #2
    Nobody has any idea?
     
  4. Nov 21, 2005 #3
    http://gershwin.ens.fr/vdaniel/Doc-Locale/Cours-Mirrored/Methodes-Maths/white/ [Broken]
     
    Last edited by a moderator: May 2, 2017
  5. Nov 21, 2005 #4
    Directions?


    Back to the problem, I know that you multiply both sides by u, integrate by parts, and then solve for lambda, after that I'm stuck.
     
    Last edited by a moderator: May 2, 2017
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