Files in this item

FilesDescriptionFormat

application/pdf

application/pdf3250276.pdf (2MB)Restricted to U of Illinois
(no description provided)PDF

Description

Title:Particle Spreading in a Simple Majda Flow and Eigenvalue Estimation Through a Cayley Transform
Author(s):Lee, Jae-Ug
Doctoral Committee Chair(s):Bronski, Jared C.
Department / Program:Mathematics
Discipline:Mathematics
Degree Granting Institution:University of Illinois at Urbana-Champaign
Degree:Ph.D.
Genre:Dissertation
Subject(s):Mathematics
Abstract:The spectrum of the integral operator whose kernel is the covariance function of a random variable plays an important role in finding the distribution of the random variable. We consider methods for producing estimates of the eigenvalues of such operators. If such an operator can be written in the form H0 + H1 with H 1 relatively compact to H0, then the eigenvalues are asymptotically close to those of H0. This method does not, however, produce good error estimates. We consider a perturbation method based on a Cayley transform. We show that the change of basis V = (I + K/2)-1( I - K/2), where I is the identity operator and K is a skew-adjoint operator given by a formal perturbation argument, gives better error estimate.
Issue Date:2006
Type:Text
Language:English
Description:66 p.
Thesis (Ph.D.)--University of Illinois at Urbana-Champaign, 2006.
URI:http://hdl.handle.net/2142/86876
Other Identifier(s):(MiAaPQ)AAI3250276
Date Available in IDEALS:2015-09-28
Date Deposited:2006


This item appears in the following Collection(s)

Item Statistics