Publication Type |
journal article |
School or College |
College of Engineering |
Department |
Computing, School of |
Creator |
Berzins, Martin |
Title |
Data and range-bounded polynomials in ENO methods |
Date |
2012-01-01 |
Description |
Essentially Non-Oscillatory (ENO) methods and Weighted Essentially Non- Oscillatory (WENO) methods are of fundamental importance in the numerical solution of hyperbolic equations. A key property of such equations is that the solution must remain positive or lie between bounds. A modification of the polynomials used in ENO methods to ensure that the modified polynomials are either bounded by adjacent values (data-bounded) or lie within a specified range (range-bounded) is considered. It is shown that this approach helps both in the range boundedness in the preservation of extrema in the ENO polynomial solution. |
Type |
Text |
Publisher |
Elsevier |
Dissertation Institution |
University of Utah |
Language |
eng |
Bibliographic Citation |
Berzins, M. (2012). Data and range-bounded polynomials in ENO methods. Journal of Computational Science. |
Rights Management |
(c) Elsevier ; Reprinted from Berzins, M. (2012). Data and range-bounded polynomials in ENO methods. Journal of Computational Science. http://dx.doi.org/DOI: 10.1016/j.jocs.2012.04.006. |
Format Medium |
application/pdf |
Format Extent |
1,183,748 bytes |
Identifier |
uspace,17528 |
ARK |
ark:/87278/s6sb4qh1 |
Setname |
ir_uspace |
ID |
708176 |
Reference URL |
https://collections.lib.utah.edu/ark:/87278/s6sb4qh1 |