Degree Type
Thesis
Date of Award
2014
Degree Name
Master of Science
Department
Mathematics
First Advisor
Hailiang Liu
Abstract
We study the spectrum of certain discontinuous Galerkin (DG) methods of linear convection-diffusion PDEs. Specifically, we consider DG methods for a first order advection equation and for a second-order diffusion equation. Tight upper and lower bounds that we derive for the
spectrum can be used as quantifiers of the dissipation of the numerical solution and have implications for stability of the numerical scheme.
Copyright Owner
Diana Hay
Copyright Date
2014
Language
en
File Format
application/pdf
File Size
36 pages
Recommended Citation
Hay, Diana, "On the spectrum of discontinuous Galerkin methods for linear convection-diffusion equations" (2014). Graduate Theses and Dissertations. 13820.
https://lib.dr.iastate.edu/etd/13820
