Date of Award:
5-2016
Document Type:
Dissertation
Degree Name:
Doctor of Philosophy (PhD)
Department:
Mathematics and Statistics
Committee Chair(s)
Joseph Koebbe
Committee
Joseph Koebbe
Committee
Luis Gordillo
Committee
Nghiem Nguyen
Committee
Zhaohu Nie
Committee
Todd Moon
Abstract
This paper considers some numerical schemes for the approximate solution of conservation laws and various wavelet methods are reviewed. This is followed by the construction of wavelet spaces based on a polynomial framework for the approximate solution of conservation laws. Construction of a representation of the approximate solution in terms of an entropy satisfying Multiresolution Analysis (MRA) is defined. Finally, a proof of convergence of the approximate solution of conservation laws using the characterization provided by the basis functions in the MRA will be given.
Checksum
3911736f39b6d05797f7dd26ecd0c005
Recommended Citation
Yi, Ju Y., "Definition and Construction of Entropy Satisfying Multiresolution Analysis (MRA)" (2016). All Graduate Theses and Dissertations, Spring 1920 to Summer 2023. 5057.
https://digitalcommons.usu.edu/etd/5057
Included in
Copyright for this work is retained by the student. If you have any questions regarding the inclusion of this work in the Digital Commons, please email us at .