Thesis-2005-Marlow.pdf (1.11 MB)
Spectral analysis: theory and numerical results
thesis
posted on 2018-11-20, 09:27 authored by Robert MarlowThis paper explains how spectral theory characterises an operator, acting
on a Banach or Hilbert space, and so helps to solve an equation of
that operator, or characterise its solution. Sobolev spaces are discussed,
and then Spectral theory is applied to a Laplace operator with Dirichlet
boundary conditions, and the eigenvalues characterised. An adapted
version of the Rayleigh–Ritz Approximation technique is then used to
estimate the eigenvalues.
History
School
- Science
Department
- Mathematical Sciences
Publisher
© Robert MarlowPublisher statement
This work is made available according to the conditions of the Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International (CC BY-NC-ND 4.0) licence. Full details of this licence are available at: https://creativecommons.org/licenses/by-nc-nd/4.0/Publication date
2005Notes
A Master's Thesis. Submitted in partial fulfilment of the requirements for the award of the degree of Master of Philosophy at Loughborough University.Language
- en