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

Language

en

File Format

application/pdf

File Size

36 pages

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