Skip to Main Content
Frequently Asked Questions
Submit an ETD
Global Search Box
Need Help?
Keyword Search
Participating Institutions
Advanced Search
School Logo
Files
File List
bgsu1307575652.pdf (1.9 MB)
ETD Abstract Container
Abstract Header
Numerical Smoothness of ENO and WENO Schemes for Nonlinear Conservation Laws
Author Info
Wu, Jian
Permalink:
http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1307575652
Abstract Details
Year and Degree
2011, Master of Arts (MA), Bowling Green State University, Mathematics and Statistics.
Abstract
In this study we create smoothness indicators which quantitively measure the smoothness of numerical approximations to solutions of nonlinear conservation laws. We perform numerical tests for these smoothness indicators applied to numerical approximations obtained by applying ENO and WENO schemes. Based on our numerical results, we believe that first these smoothness indicators can measure the numerical smoothness of numerical solutions, and second these smoothness indicators can be used to compare the smoothness of various ENO and WENO schemes. Thus, we believe that these indicators will be useful for the error analysis of ENO and WENO schemes for nonlinear conservation laws.
Committee
Tong Sun (Advisor)
So-Hsiang Chou (Committee Member)
Steven Seubert (Committee Member)
Pages
72 p.
Subject Headings
Applied Mathematics
Keywords
numerical smoothness
;
ENO
;
WENO
;
conservation laws
;
error analysis
Recommended Citations
Refworks
EndNote
RIS
Mendeley
Citations
Wu, J. (2011).
Numerical Smoothness of ENO and WENO Schemes for Nonlinear Conservation Laws
[Master's thesis, Bowling Green State University]. OhioLINK Electronic Theses and Dissertations Center. http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1307575652
APA Style (7th edition)
Wu, Jian.
Numerical Smoothness of ENO and WENO Schemes for Nonlinear Conservation Laws.
2011. Bowling Green State University, Master's thesis.
OhioLINK Electronic Theses and Dissertations Center
, http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1307575652.
MLA Style (8th edition)
Wu, Jian. "Numerical Smoothness of ENO and WENO Schemes for Nonlinear Conservation Laws." Master's thesis, Bowling Green State University, 2011. http://rave.ohiolink.edu/etdc/view?acc_num=bgsu1307575652
Chicago Manual of Style (17th edition)
Abstract Footer
Document number:
bgsu1307575652
Download Count:
2,567
Copyright Info
© 2011, all rights reserved.
This open access ETD is published by Bowling Green State University and OhioLINK.