Full Text Available
Note: Clicking the button above will open the full text document at the original institutional repository in a new window.
Numerical stabilization with boundary controls for hyperbolic systems of balance laws
Dissertation (MSc)--University of Pretoria, 2016.
Saved in:
| Other Authors: | |
|---|---|
| Format: | Thesis |
| Language: | English |
| Published: |
University of Pretoria
2017
|
| Subjects: | |
| Tags: |
No Tags, Be the first to tag this record!
|
| _version_ | 1867613464207294464 |
|---|---|
| access_status_str | Open Access |
| author2 | Banda, Mapundi K. |
| author_browse | Banda, Mapundi K. |
| author_facet | Banda, Mapundi K. |
| collection | Thesis |
| dc_rights_str_mv | © 2017 University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of the University of Pretoria. |
| description | Dissertation (MSc)--University of Pretoria, 2016. |
| format | Thesis |
| id | oai:repository.up.ac.za:2263/60870 |
| institution | University of Pretoria (South Africa) |
| language | English |
| last_indexed | 2026-06-10T12:36:33.567Z |
| license_str | Other — see source repository |
| provenance_str_mv | Harvested via OAI-PMH from UPSpace — University of Pretoria Institutional Repository |
| publishDate | 2017 |
| publishDateRange | 2017 |
| publishDateSort | 2017 |
| publisher | University of Pretoria |
| publisherStr | University of Pretoria |
| record_format | dspace |
| source_str | UPSpace — University of Pretoria Institutional Repository |
| spelling | oai:repository.up.ac.za:2263/60870 Numerical stabilization with boundary controls for hyperbolic systems of balance laws Banda, Mapundi K. GYWeldegiyorgis@tuks.co.za Weldegiyorgis, Gediyon Yemane UCTD Dissertation (MSc)--University of Pretoria, 2016. In this dissertation, boundary stabilization of a linear hyperbolic system of balance laws is considered. Of particular interest is the numerical boundary stabilization of such systems. An analytical stability analysis of the system will be presented as a preamble. A discussion of the application of the analysis on speci c examples: telegrapher equations, isentropic Euler equations, Saint-Venant equations and Saint-Venant-Exner equations is also presented. The rst order explicit upwind scheme is applied for the spatial discretization. For the temporal discretization a splitting technique is applied. A discrete ²−Lyapunov function is employed to investigate conditions for the stability of the system. A numerical analysis is undertaken and convergence of the solution to its equilibrium is proved. Further a numerical implementation is presented. The numerical computations also demonstrate the stability of the numerical scheme with parameters chosen to satisfy the stability requirements. Mathematics and Applied Mathematics MSc Unrestricted 2017-06-05T12:12:44Z 2017-06-05T12:12:44Z 2017-04-21 2016 Dissertation Weldegiyorgis, GY 2016, Numerical stabilization with boundary controls for hyperbolic systems of balance laws, MSc Dissertation, University of Pretoria, Pretoria, viewed yymmdd <http://hdl.handle.net/2263/60870> A2017 http://hdl.handle.net/2263/60870 en © 2017 University of Pretoria. All rights reserved. The copyright in this work vests in the University of Pretoria. No part of this work may be reproduced or transmitted in any form or by any means, without the prior written permission of the University of Pretoria. application/pdf University of Pretoria |
| spellingShingle | UCTD Numerical stabilization with boundary controls for hyperbolic systems of balance laws |
| title | Numerical stabilization with boundary controls for hyperbolic systems of balance laws |
| title_full | Numerical stabilization with boundary controls for hyperbolic systems of balance laws |
| title_fullStr | Numerical stabilization with boundary controls for hyperbolic systems of balance laws |
| title_full_unstemmed | Numerical stabilization with boundary controls for hyperbolic systems of balance laws |
| title_short | Numerical stabilization with boundary controls for hyperbolic systems of balance laws |
| title_sort | numerical stabilization with boundary controls for hyperbolic systems of balance laws |
| topic | UCTD |
| url | http://hdl.handle.net/2263/60870 |