Date of Award
Summer 2010
Document Type
Dissertation
Degree Name
Doctor of Philosophy (PhD)
Department
Mathematics and Statistics
Program/Concentration
Computational and Applied Mathematics
Committee Director
Richard Noren
Committee Member
Hideaki Kaneko
Committee Member
Jin Wang
Committee Member
Dimitrie C. Popescu
Abstract
A numerical method to solve the parabolic problem is developed that utilizes the Discontinuous Galerkin Method for space and time discretization. A multilevel method is employed in the space variable. It is shown that use of this process yields the same level of accuracy as the standard Discontinuous Galerkin Method for the heat equation, but with cheaper computational cost. The results are demonstrated using a standard one-dimensional homogeneous heat problem.
DOI
10.25777/5hss-xb28
ISBN
9781124291796
Recommended Citation
Brown, Robert G..
"A Solution of the Heat Equation with the Discontinuous Galerkin Method Using a Multilivel Calculation Method That Utilizes a Multiresolution Wavelet Basis"
(2010). Doctor of Philosophy (PhD), Dissertation, Mathematics and Statistics, Old Dominion University, DOI: 10.25777/5hss-xb28
https://digitalcommons.odu.edu/mathstat_etds/7